This website uses cookies to ensure you get the best experience. Learn more

His intention of killing Napoleon and his calculations of the cabalistic number of the beast of the Apocalypse now seemed to him meaningless and even ridiculous.

51It was late day-three by our calculations when we broke through.

41Their calculations proved erroneous.

22- The earliest known calculations, by Basilidian Gnostics, quoted in Clem.

22- The earliest known calculations, by Basilidian Gnostics, quoted in Clem.

22(The calculations are mad in both cases on the total of births and deaths of both sexes.) The result is that, while in 1871 there was an excess of 143,370 males over females in the total population, in 188f the excess was only 71,138, and in I90f there were 169,684 more females than males.

11The development of railway construction in Brazil has been impeded to a great extent by two unfavourable conditions-by the chain of mountains or plateau escarpments which follow the coast line and obstruct communication with the interior, and by the detached positions of the settlements along the Atlantic, which compel 1 The areas are reduced from the planimetrical calculations made at Gotha and used by A.

11There are extensions of the binomial theorem, by means of which approximate calculations can be made of fractions, surds, and powers of fractions and of surds; the main difference being that the number of terms which can be taken into account is unlimited, so that, although we may approach nearer and nearer to the true value, we never attain it exactly.

11There are extensions of the binomial theorem, by means of which approximate calculations can be made of fractions, surds, and powers of fractions and of surds; the main difference being that the number of terms which can be taken into account is unlimited, so that, although we may approach nearer and nearer to the true value, we never attain it exactly.

11It is not to our discredit that machines can perform calculations so wondrously fast; rather it is to our credit that we conceived of and built such machines.

12These robots can be powered by computers capable of performing a billion calculations a second.

12The tales passing from mouth to mouth at different ends of the army did not even resemble what Kutuzov had said, but the sense of his words spread everywhere because what he said was not the outcome of cunning calculations, but of a feeling that lay in the commander-in-chief's soul as in that of every Russian.

12Calculations taking this into account have been made by J.

13Calculations taking this into account have been made by J.

13Direct material for answering the question when and how far astronomical calculations replaced simple observations as the basis of the Jewish calendar is not forthcoming.

14Direct material for answering the question when and how far astronomical calculations replaced simple observations as the basis of the Jewish calendar is not forthcoming.

14But in one of the two empirical tests of the value of these calculations that he was able to obtain (loc. cit.

15Between Betsy's internet searching and Quinn's calculations the location we sought was found.

00It took us all the following day and part of next, though our calculations of time were suspect, to finish our ladder.

00The law of reciprocal proportion, of which some examples have been already given, is part of a larger law of equivalence that underlies most of our chemical methods and calculations.

00Windows have a chilling effect on a room, and in calculations extra allowance should be made for window areas.

00The difference between the horizontal distance and the distance measured along the rail is so small that it is negligible in all practical calculations.

00The value of is variable, but is between 7 and 8, and for approximate calculations may be taken equal to unity.

00This being the case, we are at liberty to make the assumption that the intrinsic energy of each element (under specified conditions) is zero, without thereby introducing any risk of self-contradiction in thermochemical calculations.

00When her brother accepted the office of astronomer to George III., she became his constant assistant in his observations, and also executed the laborious calculations which were connected with them.

00Provision was thus made for 600,000 yeomen, assigning (according to different calculations) from sixteen to twenty-five acres of land to each.

00Working out the calculations, Pettersson finds that the favourable constellation occurred and will occur in 3500 B.C., 1900 B.C., 250 B.C., 1433 A.D., 3300 A.D., and so on.

00Before the days of the "higher criticism" and the rise of the modern scientific views as to the origin of species, there was much discussion among the learned, and many ingenious and curious theories were advanced, as to the number of the animals and the space necessary for their reception, with elaborate calculations as to the subdivisions of the ark and the quantities of food, &c., required to be stored.

001 - z 2.1 -z 3.1 - z4' The series may be continued, but the calculations soon become very laborious.

00We get therefore M 2 = MH X M/H = 27r 2 A(d 2 - l 2) 2 tan 0/t 2 d (42) s H 2 =Mhxh/M = 87r 2 Ad/tt 2 (d 2 -1 2) 2 tan B} (43) When a high degree of accuracy is required, the experiments and calculations are less simple, and various corrections are applied.

00He had not attempted to include in his calculations the orbital variations of the disturbing bodies; but Lagrange, by the happy artifice of transferring the origin of coordinates from the centre of the sun to the centre of gravity of the sun and planets, obtained a simplification of the formulae, by which the same analysis was rendered equally applicable to each of the planets severally.

00Thus the concrete fact required to enable us to pass arithmetically from the conception of a fractional number to the conception of a surd is the fact of performing calculations by means of logarithms.

00Advantage can be taken of this, when n is large, to make approximate calculations, by omitting terms that are negligible.

00In the application to sound, where we know what we are dealing with, the matter is simple enough in principle, although mathematical difficulties would often stand in the way of the calculations we might wish to make.

00This is necessarily a question of degree; but it does not require detailed calculations in order to show that the discrepancy first becomes conspicuous when the phases corresponding to the various secondary waves which travel from P to B range over a complete period.

00It may be remarked that these calculations apply to the rays in the primary plane only.

00m., according to official calculations.

00It is not worth while to refer to all the wild guesses that were made by various writers, but Dr Creighton shows the absurdity of one of these calculations made in 1554 by Soranzo, the Venetian ambassador for the information of the doge and senators of Venice.

00Following on his calculations from 1509, when the population may be supposed to have been about 50,000, Dr Creighton carries on his numbers to the Restoration The same causes that operated to bring about these changes in the whole kingdom were of course also at work in the case of the City of London.

00These numbers were arrived at with much care and may be considered as fairly accurate although some other calculations conflict with a few of the figures.

00and another reason for their calculations resulting in so high a figure is suggested by the recent discoveries: they may in all good faith have reckoned as consecutive a number of early dynasties which were as a matter of fact contemporaneous.

00The emenders postulate mechanical errors in the writing of the figures, but, equally with those who accept them, regard the calculations of the native scribes as above reproach.

00According to the latest calculations, the length of the main stream of the Ganges is 1540 m., or with its longest affluent, 1680; breadth at true entrance into the sea, 20 m.; breadth of channel in dry season, 14 to 21 m.; depth in dry season, 30 ft.;.

00So certain is the ore-bearing formation that engineers in estimating its auriferous contents feel justified in assuming, as a factor in their calculations, a vertical extension limited only by the lowest depths at which mining is feasible.

00Various computations were made at different times, from Biblical sources, as to the age of the world; and Des Vignoles, in the preface to his Chronology of Sacred History, asserts that he collected upwards of two hundred different calculations, the shortest of which reckons only 3483 years between the creation of the world and the commencement of the vulgar era and the longest 6984.

00The best estimates which we now possess of the sizes of molecules are provided by calculations based upon the kinetic theory of gases.

00Referring to the calculations given above, this is equivalent to 1' deflection for every degree of elevation, which amount had to be given towards the higher wheel.

00Calculations involving feet and inches are sometimes performed by means of duodecimal arithmetic; i.e., in effect, the tables of square measure and of cubic measure are amplified by the insertion of intermediate units.

00span, with much economy, and the calculations being simple, an engineer can venture to work closely to the dimensions required by theory.

00Not only were the bracing bars designed to calculated stresses, and the continuity of the girders taken into account, but the validity of the calculations was tested by a verification on the actual bridge of the position of the points of contrary flexure of the centre span.

00It is usually accurate enough in deflection calculations to take for I the moment of inertia at the centre of the beam and to consider it constant for the length of the beam.

00His calculations were correct.

00After a certain discount for friction and the recoil of the gun, the net work realized by the powder-gas as the shot advances AM is represented by the area Acpm, and this is equated to the kinetic energy e of the shot, in foot-tons, (I) e d2 I + p, a in which the factor 4(k 2 /d 2)tan 2 S represents the fraction due to the rotation of the shot, of diameter d and axial radius of gyration k, and S represents the angle of the rifling; this factor may be ignored in the subsequent calculations as small, less than I %.

00These theorems may prove useful in preliminary calculations where the pressure-curve is nearly straight; but, in the absence of any observable law, the area of the pressure-curve must be read off by a planimeter, or calculated by Simpson's rule, as an indicator diagram.

00- The birth of Christ took place before the death of Herod, and the evidence of Josephus fixes the death of Herod, with some approach to certainty, in the early spring of 4 B.C. Josephus, indeed, while he tells us that Herod died not long before Passover, nowhere names the exact year; but he gives four calculations which serve to connect Herod's death with more or less known points, namely, the length of Herod's own reign, both from his de jure and from his de facto accession, and the length of the reigns of two of his successors, Archelaus and Herod Philip, to the date of their deposition and death respectively.

00The various calculations are not quite easy to harmonize, but the extent of choice for the year of Herod's death is limited to the years 4 and 3 B.C., with a very great preponderance of probability in favour of the former.

00Hardly, however, had the battle been arrayed when the King's death in May upset all calculations.

00Logarithms were originally invented for the sake of abbreviating arithmetical calculations, as by their means the operations of multiplication and division may be replaced by those of addition and subtraction, and the operations of raising to powers and extraction of roots by those of multiplication and division.

00Thus in arithmetical calculations if the base is not expressed it is understood to be io, so that log m denotes log n m; but in analytical formulae it is understood to be e.

00calculations he had made, and suggested to Napier the advantages) that would result from the choice of io as a base, an improvement which he had explained in his lectures at Gresham College, and on which he had written to Napier.

00The calculation of the logarithms not only of numbers but also of the trigonometrical functions is therefore due to Briggs and Vlacq; and the results contained in their four fundamental works - A rithmetica logarithmica (Briggs), 1624; Arithmetica logarithmica (Vlacq), 1628; Trigonometria Britannica (Briggs), 1633; Trigonometria artificialis (Vlacq), 1633 - have not been superseded by any subsequent calculations.

00Neper, Baron of Mercheston, near Edinburgh, and told him, among other discourses, of a new invention in Denmark (by Longomontanus, as 'tis said), to save the tedious multiplication and division in astronomical calculations.

00It seems to be due to Wittich of Breslau, who was assistant for a short time to Tycho Brahe; and it was used by them in their calculations in 1582.

00to Napier's Descriptio in order to describe its reception on the continent, and to mention the other logarithmic tables which were published while Briggs was occupied with his calculations.

00In the same year (1624) Kepler published at Marburg a table of Napierian logarithms of sines with certain additional columns to facilitate special calculations.

00Some valuable notes are added by the translator, in one of which he shows the accuracy of the method employed by Napier in his calculations, and explains the origin of a small error which occurs in Napier's table.

00It now remains to notice briefly a few of the more important events in the history of logarithmic tables subsequent to the original calculations.

00Accounts, of Sang's calculations are given in the Trans.

00Mexico adopted the metric system in 1862, and it is used in all official transactions, land measurements, railway calculations and public school work.

00Since (following Protagoras) knowledge is solely of momentary sensations, it is useless to try, as Socrates recommended, to make calculations as to future pleasures, and to balance present enjoyment with disagreeable consequences.

00His book, Van den Circkel (Delft, 1596), gave the ratio correct to 20 places, but he continued his calculations as long as he lived, and his best result was published on his tombstone in St Peter's church, Leiden.

00The Author Of The System Adopted By Gregory Was Aloysius Lilius, Or Luigi Lilioghiraldi, A Learned Astronomer And Physician Of Naples, Who Died, However, Before Its Introduction; But The Individual Who Most Contributed To Give The Ecclesiastical Calendar Its Present Form, And Who Was Charged With All The Calculations Necessary For Its Verification, Was Clavius, By Whom It Was Completely Developed And Explained In A Great Folio Treatise Of 800 Pages, Published In 1603, The Title Of Which Is Given At The End Of This Article.

00The publication of these papers is said to have exercised a beneficial influence in drawing attention to the inadequate calculations on which many insurance and benefit societies had recently been formed.

00It was soon to be perceived how carefully the Curia had made its calculations.

00Finally, he made substantial progress with more exact calculations of the motions of the solar system, especially for the case of the moon.

00Even were the objects of irrigation always identical, the conditions under which it is carried on are so variable as to preclude calculations of quantity.

00Its area, exclusive of the adjacent small islands belonging to the compartimento, is, according to the calculations of the Military Geographical Institute of Italy, 9860 sq.

00Lectures are also given on algebra and on the calculations of the Mahommedan calendar, the times of prayer, &c. (E.

00Apart from a few calculations and accounts, practically all the materials for our knowledge of Egyptian mathematics before the Hellenistic period date from the Middle Kingdom.

00C. Completing calculations.

00(2) The duration of a period may be calculated by generalions or the probable average lengths, of reigns, but such calculations are of little value, and the succession of generations even when the evidence seems to be full is particularly difficult to ascertain in Egyptian, owing to adoptions and the repetition of the same name even in one family of brothers and sisters.

00Beyond the XIIth Dynasty estimates must again be vague rhe spacing of the years on the Palermo stone has given rise to some calculations for the early dynasties.

00That is probably true, and it may be admitted that, as a rule, the early calculations erred on the side of excess.

00From the time of Humboldt's visit to this remarkable region down to the present time there have been many diverse calculations of the height of these peaks, but with a considerable variation.

00His calculations of the length of the longest day at four different points in the neighbourhood of Britain are probably based on native reports.

00But in any case the thickness must enter into the calculations, whereas in thin sheets no account is taken of thickness.

00The elaborate nature of these inquiries and calculations may be inferred from the fact that as many as thirty-five different rates are sometimes struck for a single district, ranging from 6d.

00For the Algol variables it is possible to form even more direct calculations of the density, for from the duration of the eclipse an approximate estimate of the size of the star may be made.

00Failure was due to the fact that the attack met with a resistance that went beyond Conrad's calculations.

00The first accurate calculations of the specific heats of air and gases were made by Rankine in a continuation of the paper already quoted.

00The introduction of this correction into the calculations would slightly improve the agreement with Regnault's values of the specific heat and total heat between 100° and 200° C., where they are most trustworthy, but would not materially affect the general nature of the results.

00Its area according to the calculations of the Topographical Bureau of Batavia (1894) comprises 293,496 sq.

00Army could hardly have entered into the calculations of those who were bound not to take too many risks.

00To avoid the intricate trigonometrical calculations which would often be necessary, C graphical devices have been introduced by H.

00Of the many calculations set forth in these valuable tables there is only room here to refer to the "afterlifetime" for such countries as it is available, which is quoted in the last column of Table VII.

00Kriimmel's more recent calculations (see Ocean) give values somewhat higher than those of Karstens.

00It has been established by the calculations of actuaries that married persons - women in a considerable, but men in a much greater degree - have at all periods of life a greater probability of living than the single.

00His results are in many respects identical with those of Young, but his methods of arriving at them are very different, being conducted entirely by mathematical calculations.

00For further calculations on Laplace's principles, see Rayleigh, Phil.

00To simplify calculation and to enable the assayer to use the metric system of weights employed in all chemical calculations, the "assay ton" ("A.T."

00Babbage's attention seems to have been very early drawn to the number and importance of the errors introduced into astronomical and other calculations through inaccuracies in the computation of tables.

00During the later years of his life he resided in London, devoting himself to the construction of machines capable of performing arithmetical and even algebraical calculations.

00In 1809 he published at Hamburg his Theoria motus corporum coelestium, a work which gave a powerful impulse to the true methods of astronomical observation; and his astronomical workings, observations, calculations of orbits of planets and comets, &c., are very numerous and valuable.

00That for the conversion of a fraction into decimals (giving the complete period for all the prime numbers up to 997) is a specimen of the extraordinary love which Gauss had for long arithmetical calculations; and the amount of work gone through in the construction of the table of the number of the classes of binary quadratic forms must also have been tremendous.

00In her calculations she never forgets that her flying subjects are to control and not to be controlled by the air.

00Calculations of this kind, loose as they are, deserve attention.

00The results of his intensest meditations on the psychology and the human and divine significance of the event (on which he has left some pregnant hints in written words of his own) are perfectly fused with those of his subtlest technical calculations on the rhythmical balancing of groups and arrangement of figures in space.

00Leonardo obtained Pacioli's help in calculations and measurements for the great task of casting the bronze horse and man.

00In calculations for wind pressures, the working stresses set forth in the code may be increased by fifty per centum.

00Syene was one of the bases used by Eratosthenes in his calculations for the measurement of the earth.

00The approximate area of this territory, according to official calculations, is 4 81, 979 sq.

00His calculations were made, of course, for the smaller craft of that time.

00In the second memoir he reserved for further consideration several ine q ualities of the moon's motion, which he could not determine in his first theory on account of the complicated calculations in which the method he then employed had engaged him.

0014, water intrudes beneath that part of the masonry more readily than it can obtain egress along bc, or in any other direction towards the outer face, we shall have the uplifting and overturning pressure due to the full depth of water in the reservoir over the width ab added to the horizontal pressure, in which case all our previous calculations would be futile.

00" He used to carry on," says his elder son, William Edwin Hamilton, " long trains of algebraical and arithmetical calculations in his mind, during which he was unconscious of the earthly necessity of eating; we used to bring in a ` snack ' and leave it in his study, but a brief nod of recognition of the intrusion of the chop or cutlet was often the only result, and his thoughts went on soaring upwards."

00According to the calculations of Sir William Garstin the rainfall over the whole area averages 50 in.

00In a small commonplace book, bearing on the seventh page the date of January 1663/1664, there are several articles on angular sections, and the squaring of curves and " crooked lines that may be squared," several calculations about musical notes, geometrical propositions from Francis Vieta and Frans van Schooten, annotations out of Wallis's Arithmetic of Infinities, together with observations on refraction, on the grinding of " spherical optic glasses," on the errors of lenses and the method of rectifying them, and on the extraction of all kinds of roots, particularly those " in affected powers."

00In autumn last I spent two months in calculations to no purpose for want of a good method, which made me afterwards return to the first book, and enlarge it with divers propositions, some relating to comets, others to other things, found out last winter.

00The daily activities of the great mass of the adult population, in countries where commodities are sold at definite prices for definite quantities, include calculations which have often to be performed rapidly, on data orally given, and leading in general to results which can only be approximate; and almost every branch of manufacture or commerce has its own range of applications of arithmetic. Arithmetic as a school subject has been largely regarded from this point of view.

00The letters or symbols descriptive of each denomination are usually placed after or (in actual calculations) above the figures denoting the numbers of the corresponding units; but in a few cases, e.g.

00Even where numbers are supposed to be exact, calculations based on them can often only be approximate.

00In the third place, it is a better preparation for dealing with approximate calculations.

00Text-books on arithmetic usually contain explanations of the chief commercial transactions in which arithmetical calculations arise; it will be sufficient in the present article to deal with interest and discount, and to give some notes on percentages and rates in the £.

00a tax on every ploughiand which replaced the rough calculation of Domesday Bookknights elected by the shires shared in all the calculations then made for the new impost.

00of Scotland had not been successful, and events in the Netherlands and in France disturbed Philips calculations.

00The Unionists came back equal in numbers to the Liberals, but the latter could also count on the Labor party and the Irish Nationalists; and the battle was fully arrayed for a frontal attack on the powers of the Second Chamber when the kings death in May upset all calculations.

00The calculations involved great labour, and were not published during his lifetime.

00Their excuses and calculations are well known, but when all is said, Lord Derby's statement of its character,"a leap in the dark,"-and of its intention, "dishing the Whigs," cannot be bettered.

00Horrocks (1673); and a paper embodying his calculations of appulses to stars by the moon, which appeared in the Philosophical Transactions (iv.

00The objects which the advocates of a new calendar had in view were to strike a blow at the clergy and to divorce all calculations of time from the Christian associations with which they were loaded, in short, to abolish the Christian year; and enthusiasts were already speaking of "the first year of liberty" and "the first year of the republic" when the national convention took up the matter in 1793.

00Butler does not deny this, so far as mere claim to authority is concerned; 1 but he maintains that, the dictates of conscience being clear and certain, while the calculations of self-interest lead to merely probable conclusions, it can never be practically reasonable to disobey the former, even apart from any proof which religion may furnish of the absolute coincidence of the two in a future life.

00The combination of antecedents is somewhat differently given by different writers; but all agree in representing the conscience of any individual as naturally correlated to the interests of the community of which he is a member, and thus a natural ally in enforcing utilitarian rules, or even a valuable guide when utilitarian calculations are difficult and uncertain.

00But he does not seriously trouble himself to argue with egoism, or to weigh carefully the amount of happiness that might be generally attained by the satisfaction of egoistic propensities duly regulated; a supreme unquestioning self-devotion, in which all personal calculations are suppressed, is an essential feature of his moral ideal.

00Laplace's calculations, it is true, were inexact.

00Lalande said of him that, during a comparatively short life, he had made more observations and calculations than all the astronomers of his time put together.

00vi, of his Ephemerides, 1763); Lecons elementaires de Mathematiques (1741), frequently reprinted; ditto de Mecanique (1743), &c.; ditto d' Astronomie (146), 4th edition augmented by Lalande (1779); ditto d'Optique (1750), &c. Calculations by him of eclipses for eighteen hundred years were inserted in L' Art de verifi s r les dates (1750); he communicated to the Academy in 1755 a classed catalogue of fortytwo southern nebulae, and gave in t.

002 See the calculations of Capt.

00Webster published in 1748 his Calculations, setting forth the principles on which his scheme for widows' pensions was based; he also wrote a defence of the Methodist movement in 1742, and Zeal for the Civil and Religious Interests of Mankind Commended (1754).

00But as this surface is obtained by assuming that the interfering streams follow the same route in the crystal, and by neglecting the refraction out of the crystal, it does not lend itself to accurate numerical calculations.

00The theory of the ecliptic as representing the course of the sun through the year, divided among twelve constellations with a measurement of 30 to each division, is also of Babylonian origin, as has now been definitely proved; but it does not appear to have been perfected until after the fall of the Babylonian empire in 539 B.C. Similarly, the other accomplishments of Babylonian astronomers, such as their system or rather systems of moon calculations and the drawing up of planetary tablets, belong to this late period, so that the golden age of Babylonian astronomy belongs not to the remote past, as was until recently supposed, but to the Seleucid period, i.e.

00The results of the war entirely justified his calculations.

00Like the history of the founder of the Achaemenian empire, that of Ardashir has from the beginning been overgrown with legends; like Cyrus he is the son of a shepherd, his future greatness is predicted by dreams and visions, and by the calculations of astronomers he becomes a servant at the court of King Artabanus and then flies to Persia and begins the rebellion; he fights with the great dragon, the enemy of god, &c. A Pahlavi text, which contains this legend, has been translated by Noldeke (Geschichte des Artachshir i Papakan, 1879).

00Thomson's calculations on the conduction of heat showed that at some time between twenty millions and four hundred millions, probably about one hundred millions, of years ago, the physical conditions of the earth must have been entirely different from those which now obtain.

00Between Betsy's internet searching and Quinn's calculations the location we sought was found.

00It took us all the following day and part of next, though our calculations of time were suspect, to finish our ladder.

00It was late day-three by our calculations when we broke through.

00If Fred's calculations were correctâ€”they agreed with Mrs. Worthington's recollectionsâ€”four trunks remained unaccounted for.

00abstruse calculations from what may well be imperfect data.

00So using an altimeter without making errors requires constant alertness and repeated calculations, all done " on the fly " .

00calculated radiation spectra were used in further calculations of detector response, which in turn improved our understanding of dosimetry for cancer therapy.

00calculations of the overpayment.

00You can perform foreign exchange rate calculations, using live, up-to-the-minute mid market currency rates.

00That was almost certainly a good scheme but it complicates calculations.

00Furthermore, they can replace heavy 3D numerical calculations (for example finite element calculations) with high accuracy.

00This is not a question that is amenable to mathematical calculations.

00These calculations not only involved difficult mathematical expressions but also dealt with heavy arithmetical calculations.

00The effect of throat just aft of the lip is derived from theoretical calculations taking account of the velocity profile.

00This experimental program will be supported by state-of-the-art molecular orbital calculations.

00Both experimental work and ab-initio calculations agree that the most stable form is the ammonium ion pair species.

00Are you really going to let the establishment kill an honest man who has simply exposed a major conspiracy to defraud by spreadsheet calculations?

00Glories can be predicted by Mie scattering calculations as used in IRIS.

00However, reliability of the score probability calculations may be adversely affected.

00The GAMESS-UK Benchmark is designed to represent the typical range of calculations commonly performed by the ab initio quantum chemist.

00The calculations assumed that a post-transplantation cholecystectomy did not have any impact on quality of life.

00chomp through the calculations and spit out exactly those phases that give the correct image.. .

00complicated calculations you will be introduced to computer packages for carrying them out.

00contour advection calculations using winds derived from the UK Universities Global Atmospheric Modeling Program (UGAMP) model.

00In addition, most adapters have their own graphics coprocessor for performing graphics calculations.

00Children can refine their calculations making use of their ability to order decimals.

00The childcare disregard in Family Credit calculations would not meet the average childcare costs of working parents.

00disregarded in the tax credit calculations.

00electrostatics calculations.

00instant feedback has turned quizzes into learning tools that reinforce the need for flawless calculations.

00fixed-point numbers; you can use these for accurate monetary calculations, for example.

00Radiation Shielding (6 lectures) g (6 lectures) g -ray and neutron shielding calculations; g -ray attenuation and build-up factors.

00Radiation Shielding (6 lectures) g (6 lectures) g -ray and neutron shielding calculations; g -ray attenuation and build-up factors.

00Calculations were performed on a 16 processor Beowulf cluster and required approximately 1 gigabyte of RAM per process.

00Topics: interpreting graphs, reading tables, calculations What a Funny Looking Graph!

00For Newton-Raphson calculations, the inverse Hessian is output after each exact recalculation, but not after updating.

00The problem of asking for the same result several times comes up not too infrequent in calculations.

00insolation calculations the user will be asked which transparent surfaces should be included.

00In order to create a view of a 3D computer model some fairly intensive calculations have to be performed.

00irrelevant for the purposes of grading calculations.

00isomorphism tests, Calculation of all subgroups, Calculations with finitely presented structures.

00Solution method: Global analysis of spectra is provided by incorporating nuclear reactions kinematics calculations in the program.

00laborious time card calculations tying up your staff?

00West longitude This is the geographic West longitude of the location for which to perform the calculations.

00The AFS believes that the gain from total lower outgoings under endowment mortgages should be included in all redress calculations.

00offloads many of the calculations currently performed by the CPU onto the Graphics card.

00omitted from net asset calculations.

00The figure below shows a comparison of ground-based observations of column ozone above Tenerife with calculations from our 3-D model.

00There are three main factors affecting the number of calculations performed in the Decoder.

00The effect of throat just aft of the lip is derived from theoretical calculations taking account of the velocity profile.

00The GAMESS-UK Benchmark is designed to represent the typical range of calculations commonly performed by the ab initio quantum chemist.

00They had there place, but we now need to push down the masses of the sea quarks in unquenched calculations.

00These models are undergoing further refinement by MD simulations prior to being used in electrostatics calculations.

00Again evidence for such action seems scant, but calculations of effluent load should include greater use of low water use systems.

00spreadsheet for new scheme calculations (Updated 12th March 2003 ).

00talk through with you the best options available and make the various calculations to evaluate them.

00tedious calculations by hand.

00The computer is able to carry out up to 12 calculations of the interfacial tension per second.

00It will deliver three teraflops of peak computing power - three million million calculations per second.

00titrations calculations were done by slotting numbers into a formula.

00trajectory calculations on potential energy surfaces.

00These calculations are little more than three-dimensional trigonometry in most cases involving converting tape, compass and clino measurements into an XYZ vector.

00Note, however, how effectively a close shave on a zebra crossing brings to the surface previously unquestioned strategic calculations.

00The analysis can take the form of calculations based on specific sets of parameter values.

00verbose output about all the calculations that take place.

00verifyvariances of the parameter estimates are also equal under these conditions, which can be verified by straightforward calculations.

00worst-case assumptions are a reasonable component of screening calculations, to ensure that the stack height will not be under-estimated.

00The law of reciprocal proportion, of which some examples have been already given, is part of a larger law of equivalence that underlies most of our chemical methods and calculations.

00Gerdien (61) has made some calculations as to the probable average value of the vertical electric current in the atmosphere in fine weather.

00In particular his knowledge of astronomy was profound, and he was one of the first to compile a Calendar of the Jewish year, thus preparing the way for the fixation of the festivals by means of scientific calculations.

00Windows have a chilling effect on a room, and in calculations extra allowance should be made for window areas.

00Murray's calculations give the amount of precipitation received on this area at 15,800 cub.

00(The calculations are mad in both cases on the total of births and deaths of both sexes.) The result is that, while in 1871 there was an excess of 143,370 males over females in the total population, in 188f the excess was only 71,138, and in I90f there were 169,684 more females than males.

00Metternich had declared that the one thing which had not entered into his calculations was a Liberal pope, only that was an impossibility; still he was much disturbed by Piuss attitude, and tried to stem the revolutionary tide by frightening the princes.

00It must be noted, however, that since 1895 the soundings of Nansen in the north polar area, of the " Valdivia," " Belgica," " Gauss " and " Scotia " in the Southern Ocean, and of various surveying ships in the North and South Pacific, have proved that the mean depth of the ocean is considerably greater than had been supposed, and mean-sphere level must therefore lie deeper than the calculations of 1895 show; possibly not far from the position deduced from the freer estimate of 1888.

00Their calculations proved erroneous.

00The difference between the horizontal distance and the distance measured along the rail is so small that it is negligible in all practical calculations.

00The value of is variable, but is between 7 and 8, and for approximate calculations may be taken equal to unity.

00Now, however, the use of his remaining eye had been reduced to an hour a day, divided into portions at wide intervals, and he was driven to the conclusion that whatever plans he made must be formed on the same calculations as those of a blind man.

00- For thermochemical calculations it is of great importance to know the heat of formation of compounds from their elements, even when the combination cannot be brought about directly.

00This being the case, we are at liberty to make the assumption that the intrinsic energy of each element (under specified conditions) is zero, without thereby introducing any risk of self-contradiction in thermochemical calculations.

00When her brother accepted the office of astronomer to George III., she became his constant assistant in his observations, and also executed the laborious calculations which were connected with them.

00The predominance of the Anglo-Burgundians in France having made it impossible for him to stay there, he went to Avignon to end his days in melancholy calculations arising from the calamities of which he had been the witness, and the astrological reckonings, in which he found pleasure, of the chances for and against the world coming to an end in the near future.

00Provision was thus made for 600,000 yeomen, assigning (according to different calculations) from sixteen to twenty-five acres of land to each.

00This saves a certain amount of arithmetic, but when the solution is applied in another determination additional calculations are necessary.

00It was only the chronologists and historians of the church who, following Julius Africanus, made use of apocalyptic numbers in their calculations, while court theologians like Eusebius entertained the imperial table with discussions as to whether the dining-hall of the emperor - the second David and Solomon, the beloved of God - might not be the New Jerusalem of John's Apocalypse.

00In calculations the latter hypothesis is made because of its mathematical simplicity.

00Working out the calculations, Pettersson finds that the favourable constellation occurred and will occur in 3500 B.C., 1900 B.C., 250 B.C., 1433 A.D., 3300 A.D., and so on.

00Before the days of the "higher criticism" and the rise of the modern scientific views as to the origin of species, there was much discussion among the learned, and many ingenious and curious theories were advanced, as to the number of the animals and the space necessary for their reception, with elaborate calculations as to the subdivisions of the ark and the quantities of food, &c., required to be stored.

001 - z 2.1 -z 3.1 - z4' The series may be continued, but the calculations soon become very laborious.

00We get therefore M 2 = MH X M/H = 27r 2 A(d 2 - l 2) 2 tan 0/t 2 d (42) s H 2 =Mhxh/M = 87r 2 Ad/tt 2 (d 2 -1 2) 2 tan B} (43) When a high degree of accuracy is required, the experiments and calculations are less simple, and various corrections are applied.

00He had not attempted to include in his calculations the orbital variations of the disturbing bodies; but Lagrange, by the happy artifice of transferring the origin of coordinates from the centre of the sun to the centre of gravity of the sun and planets, obtained a simplification of the formulae, by which the same analysis was rendered equally applicable to each of the planets severally.

00The development of railway construction in Brazil has been impeded to a great extent by two unfavourable conditions-by the chain of mountains or plateau escarpments which follow the coast line and obstruct communication with the interior, and by the detached positions of the settlements along the Atlantic, which compel 1 The areas are reduced from the planimetrical calculations made at Gotha and used by A.

00Thus the concrete fact required to enable us to pass arithmetically from the conception of a fractional number to the conception of a surd is the fact of performing calculations by means of logarithms.

00Advantage can be taken of this, when n is large, to make approximate calculations, by omitting terms that are negligible.

00In the application to sound, where we know what we are dealing with, the matter is simple enough in principle, although mathematical difficulties would often stand in the way of the calculations we might wish to make.

00This is necessarily a question of degree; but it does not require detailed calculations in order to show that the discrepancy first becomes conspicuous when the phases corresponding to the various secondary waves which travel from P to B range over a complete period.

00It may be remarked that these calculations apply to the rays in the primary plane only.

00m., according to official calculations.

00It is not worth while to refer to all the wild guesses that were made by various writers, but Dr Creighton shows the absurdity of one of these calculations made in 1554 by Soranzo, the Venetian ambassador for the information of the doge and senators of Venice.

00Following on his calculations from 1509, when the population may be supposed to have been about 50,000, Dr Creighton carries on his numbers to the Restoration The same causes that operated to bring about these changes in the whole kingdom were of course also at work in the case of the City of London.

00These numbers were arrived at with much care and may be considered as fairly accurate although some other calculations conflict with a few of the figures.

00The truth seems to be that his results are in some cases of little importance, in others of questionable correctness, and that, in the abstractions to which he has recourse in order to facilitate his calculations, an essential part of the real conditions of the problem is sometimes omitted.

00and another reason for their calculations resulting in so high a figure is suggested by the recent discoveries: they may in all good faith have reckoned as consecutive a number of early dynasties which were as a matter of fact contemporaneous.

00The emenders postulate mechanical errors in the writing of the figures, but, equally with those who accept them, regard the calculations of the native scribes as above reproach.

00According to the latest calculations, the length of the main stream of the Ganges is 1540 m., or with its longest affluent, 1680; breadth at true entrance into the sea, 20 m.; breadth of channel in dry season, 14 to 21 m.; depth in dry season, 30 ft.;.

00So certain is the ore-bearing formation that engineers in estimating its auriferous contents feel justified in assuming, as a factor in their calculations, a vertical extension limited only by the lowest depths at which mining is feasible.

00Various computations were made at different times, from Biblical sources, as to the age of the world; and Des Vignoles, in the preface to his Chronology of Sacred History, asserts that he collected upwards of two hundred different calculations, the shortest of which reckons only 3483 years between the creation of the world and the commencement of the vulgar era and the longest 6984.

00The calculations of the last Coal Commission as to the future exports and of Mr Jevons as to the future annual consumption make us hesitate to prophesy how long our coal resources are likely to last.

00Thus, if a railway contractor has to make a tunnel through a hill of gravel., and if one cubic yard of the gravel is so like another cubic yard that for the purposes of the contract they may be taken as equivalent, then, in estimating the work required to remove the gravel from the tunnel, he may, without fear of error, make his calculations as if the gravel were a continuous substance.

00The best estimates which we now possess of the sizes of molecules are provided by calculations based upon the kinetic theory of gases.

00Referring to the calculations given above, this is equivalent to 1' deflection for every degree of elevation, which amount had to be given towards the higher wheel.

00Calculations involving feet and inches are sometimes performed by means of duodecimal arithmetic; i.e., in effect, the tables of square measure and of cubic measure are amplified by the insertion of intermediate units.

00span, with much economy, and the calculations being simple, an engineer can venture to work closely to the dimensions required by theory.

00Not only were the bracing bars designed to calculated stresses, and the continuity of the girders taken into account, but the validity of the calculations was tested by a verification on the actual bridge of the position of the points of contrary flexure of the centre span.

00It is usually accurate enough in deflection calculations to take for I the moment of inertia at the centre of the beam and to consider it constant for the length of the beam.

00During the Revolution, he was one of the three members of the council established to introduce the decimal system, and he was also a member of the commission appointed to determine the length of the metre, for which purpose the calculations, &c., connected with the arc of the meridian from Barcelona to Dunkirk were revised.

00His calculations were correct.

00After a certain discount for friction and the recoil of the gun, the net work realized by the powder-gas as the shot advances AM is represented by the area Acpm, and this is equated to the kinetic energy e of the shot, in foot-tons, (I) e d2 I + p, a in which the factor 4(k 2 /d 2)tan 2 S represents the fraction due to the rotation of the shot, of diameter d and axial radius of gyration k, and S represents the angle of the rifling; this factor may be ignored in the subsequent calculations as small, less than I %.

00These theorems may prove useful in preliminary calculations where the pressure-curve is nearly straight; but, in the absence of any observable law, the area of the pressure-curve must be read off by a planimeter, or calculated by Simpson's rule, as an indicator diagram.

00- The birth of Christ took place before the death of Herod, and the evidence of Josephus fixes the death of Herod, with some approach to certainty, in the early spring of 4 B.C. Josephus, indeed, while he tells us that Herod died not long before Passover, nowhere names the exact year; but he gives four calculations which serve to connect Herod's death with more or less known points, namely, the length of Herod's own reign, both from his de jure and from his de facto accession, and the length of the reigns of two of his successors, Archelaus and Herod Philip, to the date of their deposition and death respectively.

00The various calculations are not quite easy to harmonize, but the extent of choice for the year of Herod's death is limited to the years 4 and 3 B.C., with a very great preponderance of probability in favour of the former.

00But in one of the two empirical tests of the value of these calculations that he was able to obtain (loc. cit.

00Hardly, however, had the battle been arrayed when the King's death in May upset all calculations.

00Logarithms were originally invented for the sake of abbreviating arithmetical calculations, as by their means the operations of multiplication and division may be replaced by those of addition and subtraction, and the operations of raising to powers and extraction of roots by those of multiplication and division.

00Thus in arithmetical calculations if the base is not expressed it is understood to be io, so that log m denotes log n m; but in analytical formulae it is understood to be e.

00calculations he had made, and suggested to Napier the advantages) that would result from the choice of io as a base, an improvement which he had explained in his lectures at Gresham College, and on which he had written to Napier.

00The calculation of the logarithms not only of numbers but also of the trigonometrical functions is therefore due to Briggs and Vlacq; and the results contained in their four fundamental works - A rithmetica logarithmica (Briggs), 1624; Arithmetica logarithmica (Vlacq), 1628; Trigonometria Britannica (Briggs), 1633; Trigonometria artificialis (Vlacq), 1633 - have not been superseded by any subsequent calculations.

00Neper, Baron of Mercheston, near Edinburgh, and told him, among other discourses, of a new invention in Denmark (by Longomontanus, as 'tis said), to save the tedious multiplication and division in astronomical calculations.

00It is very evident that no mere hint with regard to the use of proportional numbers could have been of any service to him, but it is possible that the news brought by Craig of the difficulties placed in the progress of astronomy by the labour of the calculations may have stimulated him to persevere in his efforts.

00It seems to be due to Wittich of Breslau, who was assistant for a short time to Tycho Brahe; and it was used by them in their calculations in 1582.

00to Napier's Descriptio in order to describe its reception on the continent, and to mention the other logarithmic tables which were published while Briggs was occupied with his calculations.

00In the same year (1624) Kepler published at Marburg a table of Napierian logarithms of sines with certain additional columns to facilitate special calculations.

00Some valuable notes are added by the translator, in one of which he shows the accuracy of the method employed by Napier in his calculations, and explains the origin of a small error which occurs in Napier's table.

00It now remains to notice briefly a few of the more important events in the history of logarithmic tables subsequent to the original calculations.

00Accounts, of Sang's calculations are given in the Trans.

00Mexico adopted the metric system in 1862, and it is used in all official transactions, land measurements, railway calculations and public school work.

00Since (following Protagoras) knowledge is solely of momentary sensations, it is useless to try, as Socrates recommended, to make calculations as to future pleasures, and to balance present enjoyment with disagreeable consequences.

00His book, Van den Circkel (Delft, 1596), gave the ratio correct to 20 places, but he continued his calculations as long as he lived, and his best result was published on his tombstone in St Peter's church, Leiden.

00The Author Of The System Adopted By Gregory Was Aloysius Lilius, Or Luigi Lilioghiraldi, A Learned Astronomer And Physician Of Naples, Who Died, However, Before Its Introduction; But The Individual Who Most Contributed To Give The Ecclesiastical Calendar Its Present Form, And Who Was Charged With All The Calculations Necessary For Its Verification, Was Clavius, By Whom It Was Completely Developed And Explained In A Great Folio Treatise Of 800 Pages, Published In 1603, The Title Of Which Is Given At The End Of This Article.

00The publication of these papers is said to have exercised a beneficial influence in drawing attention to the inadequate calculations on which many insurance and benefit societies had recently been formed.

00It was soon to be perceived how carefully the Curia had made its calculations.

00Finally, he made substantial progress with more exact calculations of the motions of the solar system, especially for the case of the moon.

00For purposes of torpedo attack the periscope is used as a range-finder to determine the distance the target is away, and also in connexion with tables to determine the correct time to fire the torpedo, allowing for the speed of the enemy, course, etc. Officers of submarines have devised various mechanical devices to avoid calculations, and these have been added to the periscope.

00Even were the objects of irrigation always identical, the conditions under which it is carried on are so variable as to preclude calculations of quantity.

00Its area, exclusive of the adjacent small islands belonging to the compartimento, is, according to the calculations of the Military Geographical Institute of Italy, 9860 sq.

00Lectures are also given on algebra and on the calculations of the Mahommedan calendar, the times of prayer, &c. (E.

00Apart from a few calculations and accounts, practically all the materials for our knowledge of Egyptian mathematics before the Hellenistic period date from the Middle Kingdom.

00C. Completing calculations.

00(2) The duration of a period may be calculated by generalions or the probable average lengths, of reigns, but such calculations are of little value, and the succession of generations even when the evidence seems to be full is particularly difficult to ascertain in Egyptian, owing to adoptions and the repetition of the same name even in one family of brothers and sisters.

00Beyond the XIIth Dynasty estimates must again be vague rhe spacing of the years on the Palermo stone has given rise to some calculations for the early dynasties.

00That is probably true, and it may be admitted that, as a rule, the early calculations erred on the side of excess.

00From the time of Humboldt's visit to this remarkable region down to the present time there have been many diverse calculations of the height of these peaks, but with a considerable variation.

00His calculations of the length of the longest day at four different points in the neighbourhood of Britain are probably based on native reports.

00But in any case the thickness must enter into the calculations, whereas in thin sheets no account is taken of thickness.

00The elaborate nature of these inquiries and calculations may be inferred from the fact that as many as thirty-five different rates are sometimes struck for a single district, ranging from 6d.

00For the Algol variables it is possible to form even more direct calculations of the density, for from the duration of the eclipse an approximate estimate of the size of the star may be made.

00Failure was due to the fact that the attack met with a resistance that went beyond Conrad's calculations.

00The first accurate calculations of the specific heats of air and gases were made by Rankine in a continuation of the paper already quoted.

00The introduction of this correction into the calculations would slightly improve the agreement with Regnault's values of the specific heat and total heat between 100Ã‚° and 200Ã‚° C., where they are most trustworthy, but would not materially affect the general nature of the results.

00Its area according to the calculations of the Topographical Bureau of Batavia (1894) comprises 293,496 sq.

00Army could hardly have entered into the calculations of those who were bound not to take too many risks.

00To avoid the intricate trigonometrical calculations which would often be necessary, C graphical devices have been introduced by H.

00Of the many calculations set forth in these valuable tables there is only room here to refer to the "afterlifetime" for such countries as it is available, which is quoted in the last column of Table VII.

00Kriimmel's more recent calculations (see Ocean) give values somewhat higher than those of Karstens.

00It has been established by the calculations of actuaries that married persons - women in a considerable, but men in a much greater degree - have at all periods of life a greater probability of living than the single.

00Petzval constructed his portrait objective, unexcelled even at the present day, from similar calculations, which have never been published (see M.

00His results are in many respects identical with those of Young, but his methods of arriving at them are very different, being conducted entirely by mathematical calculations.

00For further calculations on Laplace's principles, see Rayleigh, Phil.

00To simplify calculation and to enable the assayer to use the metric system of weights employed in all chemical calculations, the "assay ton" ("A.T."

00Babbage's attention seems to have been very early drawn to the number and importance of the errors introduced into astronomical and other calculations through inaccuracies in the computation of tables.

00During the later years of his life he resided in London, devoting himself to the construction of machines capable of performing arithmetical and even algebraical calculations.

00In 1809 he published at Hamburg his Theoria motus corporum coelestium, a work which gave a powerful impulse to the true methods of astronomical observation; and his astronomical workings, observations, calculations of orbits of planets and comets, &c., are very numerous and valuable.

00That for the conversion of a fraction into decimals (giving the complete period for all the prime numbers up to 997) is a specimen of the extraordinary love which Gauss had for long arithmetical calculations; and the amount of work gone through in the construction of the table of the number of the classes of binary quadratic forms must also have been tremendous.

00In her calculations she never forgets that her flying subjects are to control and not to be controlled by the air.

00Calculations of this kind, loose as they are, deserve attention.

00The results of his intensest meditations on the psychology and the human and divine significance of the event (on which he has left some pregnant hints in written words of his own) are perfectly fused with those of his subtlest technical calculations on the rhythmical balancing of groups and arrangement of figures in space.

00Leonardo obtained Pacioli's help in calculations and measurements for the great task of casting the bronze horse and man.

00In calculations for wind pressures, the working stresses set forth in the code may be increased by fifty per centum.

00Syene was one of the bases used by Eratosthenes in his calculations for the measurement of the earth.

00Calculations, for instance, as to what people at the lower levels of the income tax must pay because they happen to be struck by every sort of tax as no other class is, and calculations as to the freedom from taxation of large numbers of other classes whose habits of consumption and living enable them to escape the tax-gatherer as the class to which they belong cannot generally do, may help a finance minister in the selection of taxes to be repealed or reduced or to be newly imposed.

00The approximate area of this territory, according to official calculations, is 4 81, 979 sq.

00His calculations were made, of course, for the smaller craft of that time.

00In the second memoir he reserved for further consideration several ine q ualities of the moon's motion, which he could not determine in his first theory on account of the complicated calculations in which the method he then employed had engaged him.

0014, water intrudes beneath that part of the masonry more readily than it can obtain egress along bc, or in any other direction towards the outer face, we shall have the uplifting and overturning pressure due to the full depth of water in the reservoir over the width ab added to the horizontal pressure, in which case all our previous calculations would be futile.

00" He used to carry on," says his elder son, William Edwin Hamilton, " long trains of algebraical and arithmetical calculations in his mind, during which he was unconscious of the earthly necessity of eating; we used to bring in a ` snack ' and leave it in his study, but a brief nod of recognition of the intrusion of the chop or cutlet was often the only result, and his thoughts went on soaring upwards."

00According to the calculations of Sir William Garstin the rainfall over the whole area averages 50 in.

00In a small commonplace book, bearing on the seventh page the date of January 1663/1664, there are several articles on angular sections, and the squaring of curves and " crooked lines that may be squared," several calculations about musical notes, geometrical propositions from Francis Vieta and Frans van Schooten, annotations out of Wallis's Arithmetic of Infinities, together with observations on refraction, on the grinding of " spherical optic glasses," on the errors of lenses and the method of rectifying them, and on the extraction of all kinds of roots, particularly those " in affected powers."

00In autumn last I spent two months in calculations to no purpose for want of a good method, which made me afterwards return to the first book, and enlarge it with divers propositions, some relating to comets, others to other things, found out last winter.

00The daily activities of the great mass of the adult population, in countries where commodities are sold at definite prices for definite quantities, include calculations which have often to be performed rapidly, on data orally given, and leading in general to results which can only be approximate; and almost every branch of manufacture or commerce has its own range of applications of arithmetic. Arithmetic as a school subject has been largely regarded from this point of view.

00The letters or symbols descriptive of each denomination are usually placed after or (in actual calculations) above the figures denoting the numbers of the corresponding units; but in a few cases, e.g.

00Even where numbers are supposed to be exact, calculations based on them can often only be approximate.

00In the third place, it is a better preparation for dealing with approximate calculations.

00Text-books on arithmetic usually contain explanations of the chief commercial transactions in which arithmetical calculations arise; it will be sufficient in the present article to deal with interest and discount, and to give some notes on percentages and rates in the £.

00a tax on every ploughiand which replaced the rough calculation of Domesday Bookknights elected by the shires shared in all the calculations then made for the new impost.

00of Scotland had not been successful, and events in the Netherlands and in France disturbed Philips calculations.

00The Unionists came back equal in numbers to the Liberals, but the latter could also count on the Labor party and the Irish Nationalists; and the battle was fully arrayed for a frontal attack on the powers of the Second Chamber when the kings death in May upset all calculations.

00The calculations involved great labour, and were not published during his lifetime.

00Their excuses and calculations are well known, but when all is said, Lord Derby's statement of its character,"a leap in the dark,"-and of its intention, "dishing the Whigs," cannot be bettered.

00Horrocks (1673); and a paper embodying his calculations of appulses to stars by the moon, which appeared in the Philosophical Transactions (iv.

00The objects which the advocates of a new calendar had in view were to strike a blow at the clergy and to divorce all calculations of time from the Christian associations with which they were loaded, in short, to abolish the Christian year; and enthusiasts were already speaking of "the first year of liberty" and "the first year of the republic" when the national convention took up the matter in 1793.

00Butler does not deny this, so far as mere claim to authority is concerned; 1 but he maintains that, the dictates of conscience being clear and certain, while the calculations of self-interest lead to merely probable conclusions, it can never be practically reasonable to disobey the former, even apart from any proof which religion may furnish of the absolute coincidence of the two in a future life.

00The combination of antecedents is somewhat differently given by different writers; but all agree in representing the conscience of any individual as naturally correlated to the interests of the community of which he is a member, and thus a natural ally in enforcing utilitarian rules, or even a valuable guide when utilitarian calculations are difficult and uncertain.

00But he does not seriously trouble himself to argue with egoism, or to weigh carefully the amount of happiness that might be generally attained by the satisfaction of egoistic propensities duly regulated; a supreme unquestioning self-devotion, in which all personal calculations are suppressed, is an essential feature of his moral ideal.

00Laplace's calculations, it is true, were inexact.

00Such a supposition would accord with the prominence acquired by the moon in the calendar and in astrological calculations, as well as with the fact pointed out (see SIN) that the moon-cult belongs to the nomadic and therefore earlier, stage of civilization, whereas the sun-god rises to full importance only after the agricultural stage has been reached.

00Lalande said of him that, during a comparatively short life, he had made more observations and calculations than all the astronomers of his time put together.

00vi, of his Ephemerides, 1763); Lecons elementaires de Mathematiques (1741), frequently reprinted; ditto de Mecanique (1743), &c.; ditto d' Astronomie (146), 4th edition augmented by Lalande (1779); ditto d'Optique (1750), &c. Calculations by him of eclipses for eighteen hundred years were inserted in L' Art de verifi s r les dates (1750); he communicated to the Academy in 1755 a classed catalogue of fortytwo southern nebulae, and gave in t.

002 See the calculations of Capt.

00Webster published in 1748 his Calculations, setting forth the principles on which his scheme for widows' pensions was based; he also wrote a defence of the Methodist movement in 1742, and Zeal for the Civil and Religious Interests of Mankind Commended (1754).

00But as this surface is obtained by assuming that the interfering streams follow the same route in the crystal, and by neglecting the refraction out of the crystal, it does not lend itself to accurate numerical calculations.

00The theory of the ecliptic as representing the course of the sun through the year, divided among twelve constellations with a measurement of 30 to each division, is also of Babylonian origin, as has now been definitely proved; but it does not appear to have been perfected until after the fall of the Babylonian empire in 539 B.C. Similarly, the other accomplishments of Babylonian astronomers, such as their system or rather systems of moon calculations and the drawing up of planetary tablets, belong to this late period, so that the golden age of Babylonian astronomy belongs not to the remote past, as was until recently supposed, but to the Seleucid period, i.e.

00The results of the war entirely justified his calculations.

00The most accurate calculations are obtained by using the screw micrometer ocular (fig.

00Like the history of the founder of the Achaemenian empire, that of Ardashir has from the beginning been overgrown with legends; like Cyrus he is the son of a shepherd, his future greatness is predicted by dreams and visions, and by the calculations of astronomers he becomes a servant at the court of King Artabanus and then flies to Persia and begins the rebellion; he fights with the great dragon, the enemy of god, &c. A Pahlavi text, which contains this legend, has been translated by Noldeke (Geschichte des Artachshir i Papakan, 1879).

00Thomson's calculations on the conduction of heat showed that at some time between twenty millions and four hundred millions, probably about one hundred millions, of years ago, the physical conditions of the earth must have been entirely different from those which now obtain.

00If you were a scientist in Salk's time, you did calculations by hand and wrote observations in notebooks.

00Once when making such calculations he wrote down his own name in French, Comte Pierre Besouhoff, but the sum of the numbers did not come right.

00As he went along he looked with pleasure at the year's splendid crop of corn, scrutinized the strips of ryefield which here and there were already being reaped, made his calculations as to the sowing and the harvest, and asked himself whether he had not forgotten any of the prince's orders.

00Future calculations must work at lighter quark masses to resolve this.

00They had there place, but we now need to push down the masses of the sea quarks in unquenched calculations.

00Again evidence for such action seems scant, but calculations of effluent load should include greater use of low water use systems.

00Ceramic tiles designed by the calculations of scattering coefficients have been installed for the sidewalls of a 400-seat concert hall.

00Example calculations are included together with graphs showing the effect of lay-up on the shear stiffnesses.

00At the heart of the calculations is the GW space-time method.

00Excel spreadsheet for new scheme calculations (Updated 12th March 2003).

00The calculations below are based on the 5 in standard British gage and the modern mm measurement.

00Calculations in QED are carried out via " Feynman diagrams " which are successive approximations to QED.

00TheyÃ¢ll then talk through with you the best options available and make the various calculations to evaluate them.

00Using Maple has particular advantages: There is no longer a need to do tedious calculations by hand.

00It will deliver three teraflops of peak computing power - three million million calculations per second.

00Titrations calculations were done by slotting numbers into a formula.

00Results are compared with trajectory calculations on potential energy surfaces.

00These calculations are little more than three-dimensional trigonometry in most cases involving converting tape, compass and clino measurements into an XYZ vector.

00Note, however, how effectively a close shave on a zebra crossing brings to the surface previously unquestioned strategic calculations.

00The analysis can take the form of calculations based on specific sets of parameter values.

00The listing file contains verbose output about all the calculations that take place.

00The variances of the parameter estimates are also equal under these conditions, which can be verified by straightforward calculations.

00Worst-case assumptions are a reasonable component of screening calculations, to ensure that the stack height will not be under-estimated.

00Most theoretical calculations have been carried out on representative portions of the zeolite framework called clusters.

00Being a very meticulous person, she spent many hours making sure that the calculations were exactly correct.

00The advantage of these models is that they allow you to view complex calculations in a user-friendly manner.

00Test the display a few times with large calculations and view the result.

00Although the workings of systems are complex, involving a series of 24 satellites and various calculations using different variables, the end result is really quite straightforward in that it is easy to pinpoint a position.

00What makes processors different from each other is how efficient they perform calculations or, in probably more familiar terms, the speed of the computer, measured in gigahertz (GHz) and how many processing cores are embedded on the chip.

00Calculations include living expenses, potential medical expenses, and retirement extras, such as travel or other hobbies.

00To make these types of calculations yourself, you will need to factor in compound interest, or interest that is applied to the balance of an account on a month-by-month basis.

00APR math gets tricky because an annual percentage rate is divided into 12 monthly installments, and any additional account fees get added to the calculations in similar installments unless otherwise specified.

00The complexity of these calculations is challenging even when using a regular calculator to do the math for you.

00Specialized calculators with the formulas programmed into them can eliminate confusion and do the calculations faster.

00These types of calculations generally cannot be used in these circumstances.

00Once a parent requests child support, the court will come up with its own calculations and issue the child support order.

00This provision was put in place to discourage a parent from becoming unemployed shortly before child support calculations are to be made.

00If you have retained a lawyer, ask if he or she has access to specialized software to perform these calculations.

00Once the calculations have been completed, the judge will make a determination of how the assets should be split between the parties.

00Separate property is not included in marital property calculations.

00As the parent works through the calculations on the worksheet, they arrive at a figure that the non-custodial parent should be paying for child support.

00According to scientific calculations, the sun provides up to 10,000 times the amount of energy currently in use on the planet today.

00Installing a model that is not equipped to produce enough hot water for your household will only end in frustration, so make your calculations carefully and don't be afraid to call the manufacturer directly.

00Even small errors can make a difference in credit score calculations.

00You can also save your calculations if you need to close it out and load it at another time.

00You can input up to 80 digits for calculations.

00A variety of calculations determine the body weight of a teen.

00In 2008, the school reevaluated its financial need calculations, making the required family contribution even lower for students receiving aid.

00The calculations are a bit different for rubber mulch than typical wood mulch.

00Explain the temperature of the house, cold spots, uninsulated zones and the goal temperature you wish it to reach, and ensure they make the correct calculations to accommodate this.

00Rather than sizing by height, they go by body shape, so you will need to do a few calculations before you can find the dress that's perfect for you.

00It is best to run calculations once a year to stay current and make provision for changes affecting your financial picture.

00Recent occasions and current events may be forgotten, the affected person loses the ability to perform mathematical calculations (such as counting backwards) and may become withdrawn, particularly in social situations.

00The respiratory disturbance index (RDI) is a measurement that includes hypopneas and apneas in its calculations.

00The data uses calculations based on NPD Group, which provides market research and analysis of retailers who sell video games.

00Let's go back to school by doing some calculations in Super Mario Bros. 3 in order to get to the white treasure ship.

00From Quick Play, you can access Quick Brain Age Check, Quick Training (Calculations x 20), and Quick Sudoku.

00Included with the text are pictures, two pages of drawings, appendices providing load and stress calculations, vacuum bagging techniques, and an extensive list of suppliers.

00Use your Helio Heat to perform basic functions like scheduling events, setting reminders, performing calculations and using a stopwatch.

00The app library for each phone also has academic uses, with apps available for math calculations, scientific equations, history facts and trivia quizzes.

00Children with savant syndrome have an exceptional talent or skill in a particular area, such as the ability to process mathematical calculations at a phenomenal speed.

00Red blood cell (RBC) indices are calculations derived from the complete blood count that aid in the diagnosis and classification of anemia.

00This device can make complex calculations as easy as hitting a button.

00Although compass school of feng shui requires greater math calculations to determine the kind of energies residing in your home, you can use basic feng shui principles and applications to help lessen any negative effects.

00Form and Compass schools are complex systems of land formations and compass directions that are used for various calculations.

00Rather, calculations have a basis on all information you have provided to Service Canada through your application.

00To find out if the trouble to refinance mortgage loans is worth it, a lot of calculations are involved.

00Commercial mortgage calculations extend beyond those of home mortgages.

00There are various kinds of free mortgage calculators on the web that can assist you in making other calculations based on your income, current mortgage interest rates, and your down payment.

00Some zero down mortgage plans are nothing more than tricky calculations that break up the amount of the mortgage into separate loans.

00It indicates what the monthly principal and interest calculations will be in different situations.

00If you want to do some calculations yourself, you may want to check out the mortgage calculator at the HSH Associates web site.

00The most frequently used LIBOR rate in mortgage rate calculations is the 6-month rate; however, the 1-Month, 3-Month and 1-Year LIBOR rates are also used by some lenders.

00Amortization spreadsheets contain long, complex calculations.

00You can use spreadsheets to do these calculations for you.

00All you need to do is to use the preexisting formulas in the spreadsheet to do the calculations for you.

00Precalculated - These schedules show the calculations based on a specific loan amount (such as $100,000) and term (such as a 30-year loan).

00You can use an online amortization calculator or you create an amortization table using a spreadsheet which has been preprogrammed with the mathematical calculations necessary to amortize your information onto the spreadsheet.

00Other factors you may need for mortgage calculations are the zip code of your potential property (to estimate insurance and tax), your gross income and your total monthly debts.

00There are specific calculators created for refinances, balloon mortgage calculations, adjustable rate mortgages and a cash-out refinance.

00These calculations are a real eye opener as it can save you thousands of dollars in interest payments and allow you to pay off your loan earlier.

00It is easier to use the mortgage calculator rather than to plug in these numbers manually, but it helps to understand the math and logic behind the calculations.

00When borrowers apply for a mortgage, lenders perform complicated calculations designed to determine whether or not the individual can actually afford the loan.

00The website can provide you with state-specific details and calculations regarding how much you will save in your area.

00Also consider the amount of any closing costs for a refinance loan as you make your calculations.

00In the first part of the calculations box, you will need to enter information regarding the specifics of your current home mortgage loan.

00Do your own calculations, without relying on your lender, to ensure you can afford the mortgage you may be in for the next 30 years.

00Some amortization schedules also outline any prepayments you make and factor that into the calculations.

00Keeping an ovulation calendar just means keeping track of your periods and doing some simple calculations.

00In fact, the doctor's calculations aren't meant to answer the question "When did I conceive?"

00Day one of the cycle is the first day of regular menstrual blood loss, although some women calculate from the first 'spot' of blood, this is not a good idea as it can skew you cycle calculations by several days.

00Pregnancy due date calculations are based on averages of a 28-day menstrual cycle and an average of day 14 for ovulation.

00Of particular benefit to nonprofits are the software’s automatic payment and receipt processing and ability to perform complex calculations.

00Unlike western astrology that uses the solar year calendar, most Chinese astrologers use a lunar calendar and base their calculations solely on the moon's cycles.

00The science behind numerology is simple, yet many people are confused by the various formulas used for specific calculations that can then be used to create a report.

00Historically, astrologers were mathematicians who performed complex calculations based on specific formulas.

00Today, modern computer programs can reduce what used to take days of math calculations into a few seconds.

00In a situation where a grandparent sets up the account, the earnings may be added into the income calculations for financial aid purposes.

00If the center charges a full hour if you are a bit late, then you can add in an hour or two to your calculations just to be on the safe side for your budget planning.

00With a few calculations, you can figure out how much of your time $1 is worth.

00When looking for cheap recipes online, remember that any cost calculations are only estimates.

00It measures short times and is equipped with a "navigation computer," which is a circular slide rule that handles airborne navigation calculations such as climbing times and fuel consumption rates.

00Examples of talented savant skills include artistic endeavors and mathematical calculations.

00When shopping for a printer or photocopier, include replacement costs of printer cartridges into your calculations.

00Footnotes contain valuable bits of information about the how and why behind calculations on financial reports.

00In that case, work out a tension square before starting to help with the calculations.

00Prior to the launch of the Points system, Weight Watchers members followed a more complicated series of calculations to track their foods.

00Like the Zone Diet, Protein Power requires a hefty amount of pre-diet calculations.

00Beware, however, of diets that require a lot of calculations -- while these diets may be excellent nutritionally, they are seldom sustainable simply because the calculations make them too complex and inflexible.

00Most body composition calculations need to be done by an expert who has been trained in body composition.

00Maintaining your weight is achievable with a little bit of planning and a few calculations.

00Part of this may be due to denial, but knowing the definition of obesity clears up any question, because the determination is based on calculations using your personal criteria.

00Calculations are age and sex specific and based on specific percentiles.

00The following calculations will produce two numbers.

00The calculations above are only approximates.

00People who do not have time to manually perform calculations to determine your target heart rate can simply plug in the numbers for the resting heart rate and age.

00Take your result and multiple it by 0.5 and 0.75 in separate calculations.

00Contact a representative at your preferred insurance company if you do not want to go through the calculations on your own to figure out which car insurance deductible is best for you.

00A good agent will help you with those calculations and determine whether you can save money by only purchasing liability insurance alone.

00Country Music Countdown - This chart compiled by Country Music Television (CMT) includes video plays in the calculations of their charts.

00The imagination of the ship builders is daunting because physics, space flight calculations and knowledge of other sciences is critical in order to give ships realistic movement, look and feel.

00A vibrational pattern creates a wormhole that's guided by mathematical calculations through space to a specific physical location within the same timeline.

00They do not perform anything other than simple calculations and provide no guidance in their completion.

00An extension allows taxpayers extra time to finalize their returns and ensure their calculations are correct, but not to avoid paying taxes.

00If you are uncertain about how much you owe, contact the IRS, an accountant or use tax planning software to assist you with your calculations.

00By gathering you receipts and other documents and performing some simple calculations, you can estimate the amount of your tax return.

00Once prepared, it's time to start performing the calculations to estimate the amount of your tax return.

00Therefore, you will need to do some basic calculations for your taxes.

00You do not need to provide any forms or documentation of your estimated calculations.

00With features such as multiple payment gateways (including the most popular, PayPal) and on-the-fly shipping calculations and tax functionality, OSCommerce can save hundreds or even thousands of dollars in setup costs for entrepreneurs.

00If Fred's calculations were correct—they agreed with Mrs. Worthington's recollections—four trunks remained unaccounted for.

01Murray's calculations give the amount of precipitation received on this area at 15,800 cub.

01- For thermochemical calculations it is of great importance to know the heat of formation of compounds from their elements, even when the combination cannot be brought about directly.

03It was only the chronologists and historians of the church who, following Julius Africanus, made use of apocalyptic numbers in their calculations, while court theologians like Eusebius entertained the imperial table with discussions as to whether the dining-hall of the emperor - the second David and Solomon, the beloved of God - might not be the New Jerusalem of John's Apocalypse.

04In calculations the latter hypothesis is made because of its mathematical simplicity.

05Now, however, the use of his remaining eye had been reduced to an hour a day, divided into portions at wide intervals, and he was driven to the conclusion that whatever plans he made must be formed on the same calculations as those of a blind man.

06

The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.