On the preparation of the substituted amides from the corresponding sodamides see A.
They are violet-red in colour, and on boiling or long standing with dilute acids they pass into the corresponding roseo-salts.
After that, most of Europe will be corresponding more or less to international borders, so I'll wait for further comment from Engels before going further.
He was, however, elected on the council of state, and was the only Presbyterian in it; he was at once accused by Scot, along with Whitelocke, of corresponding with Hyde.
It is estimated that Sardinia pays, in local and general, direct and indirect taxation of all kinds, 23,000,000 lire (920,000), a sum corresponding to 35.44 lire per head.
The Corresponding Figures At Midwinter Were 0.65 And 1.19 For A, 0.61 And 1.43 For A_.
Corresponding with this difference of structure there is also a difference in the geological succession.
But this advantage involves a corresponding disadvantage, the danger of unduly severe mental application.
Cremona's reputation had now become European, and in 1879 he was elected a corresponding member of the Royal Society.
Having restored the condition of time under which all events occur, we find that a command is executed only when it is related to a corresponding series of events.
They may make certain concessions or privileges once given without any corresponding obligation; they constitute for a given country a special ecclesiastical law; and it is thus that writers have sometimes spoken of concordats as privileges.
The temperature and rainfall are governed by conditions different from those in corresponding latitudes of the northern hemisphere..
Only the possible ones get linked up with a consecutive series of commands corresponding to a series of events, and are executed.
i shows the slips corresponding to the numbers 2, o, 8, 5 placed side by side in contact with one another, and next to them is placed another slip containing, in squares without diagonals, the first nine digits.
Corresponding to the first two Edinburgh editions, copies were issued bearing the London imprint and dates 1594 and 1611.
Half an hour later, the Rhetor returned to inform the seeker of the seven virtues, corresponding to the seven steps of Solomon's temple, which every Freemason should cultivate in himself.
Today he ordered such and such papers to be written to Vienna, to Berlin, and to Petersburg; tomorrow such and such decrees and orders to the army, the fleet, the commissariat, and so on and so on--millions of commands, which formed a whole series corresponding to a series of events which brought the French armies into Russia.
St Mary's in Builth, took its name from the ancient territorial division of Buallt in which it is situated, which was, according to Nennius, an independent principality in the beginning of the 9th century, and later a cantrev, corresponding to the modern hundred of Builth.
That strike had been liberally helped by the Australian unions, and it was confidently predicted that, as the Australian workers were more effectively organized than the English unions, a corresponding success would result from their course of action.
The chief cause of the wastage of Napoleon's army was the rapidity of its movement, and a convincing proof of this is the corresponding decrease of the Russian army.
It is commonly higher in the winter and lower in the summer, though not corresponding to the general wet and dryness.
The second part of the Laws of Thought contained a corresponding attempt to discover a general method in probabilities, which should enable us from the given probabilities of any system of events to determine the consequent probability of any other event logically connected with the given events.
And corresponding to the event its justification appears in people's belief that this was necessary for the welfare of France, for liberty, and for equality.
Its methyl derivatives yield the corresponding carboxylic acids when oxidized by potassium permanganate.
Related to abnormalities of colour we may expect to find corresponding polarization effects.
The use of the slips for the purpose of multiplication is now evident; thus to multiply 2085 by 736 we take out in this manner the multiples corresponding to 6, 3, 7, and set down the digits as they are obtained, from right to left, shifting them back one place and adding up the columns as in ordinary multiplication, viz.
the corresponding latitudes of western Europe, because of the prevailing westerly winds, chilled in crossing the Andes.
For very refined work, however, the irregularities in the reproduction of the reseau may be studied by comparing the measures of the original reseau with the mean of corresponding measures of a number of photographed copies of it.
An important effect of these books was the grecizing of Roman religion by the introduction of foreign deities and rites (worshipped and practised in the Troad) and the amalgamation of national Italian deities with the corresponding Greek ones (fully discussed in J.
are the amplitudes of the component harmonic waves of periods 24, 12, 8 and 6 hours; al, a2, a 3, a 4, are the corresponding phase angles.
Thus the smallest rotation of either head communicates to the corresponding slide motion, which, if the screws are accurate, is proportional to the amount through which the head is turned.
After the rising in Cheshire Cooper was arrested in Dorsetshire on a charge of corresponding with its leader Booth, but on the matter being investigated by the council he was unanimously acquitted.
In a region so extensive very great varieties of climate are naturally to be expected, but it may be stated as a general law that the climate of Australia is milder than that of corresponding lands in the northern hemisphere.
It is evident that it was originally a goddess who was supposed to be in control of Irkalla, corresponding to Ishtar in control of fertility and vegetation on earth.
AUVERGNE, formerly a province of France, corresponding to the departments of Cantal and Puy-de-Dome, with the arrondissement of Brioude in Haute-Loire.
Their produce is checked in to the warehouse and each farmer is issued a certificate corresponding to the amount of produce he brought.
In our bodies, a bold projecting brow falls off to and indicates a corresponding depth of thought.
2940, Dr Repsold proposed a method of meridian observing which consists in causing a web to follow the image of a star in transit by motions communicated by the observer's hands alone, whilst electrical contacts on the drum of the micrometer screw register on the chronograph the instants corresponding to known intervals from the line of collimation.
The narrow tongues of the silvered surface will now reflect corresponding parts of the star-spectrograph, and will obliterate corresponding parts of the solar spectrograph - as shown in figs.
In this table, unlike Table IV., amplitudes are all expressed as decimals of the mean value of the potential gradient for the corresponding season.
As regards the teeth, in all cases except the wombats the number of upper incisors differs from that of the corresponding lower teeth.
From an area corresponding to what is now South America there entered a fauna and flora, which, after undergoing modification, passed by way of Tasmania to Australia.
The method originally used by Huggins, who first conceived and proved the possibility of measuring stellar velocities in the line of sight, was to measure with a filar micrometer the displacement of some well-known line in a stellar spectrum relative to the corresponding line of a terrestrial spectrum.
The flora of Argentina should be studied according to natural zones corresponding to the physical divisions of the country - the rich tropical and sub-tropical regions of the north, the treeless pampas of the centre, the desert steppes of the south, and the arid plateaus of the north-west.
Iridium sesquichloride, IrC1 31 is obtained when one of the corresponding double chlorides is heated with concentrated sulphuric acid, the mixture being then thrown into water.
ADRIANOPLE, a vilayet of European Turkey, corresponding with part of the ancient Thrace, and bounded on the N.
In this experiment a great noise was produced, corresponding to a loss of energy, and Joule endeavoured to determine the amount of energy necessary to produce an equal amount of sound from the string of a violoncello and to apply a corresponding correction.
A lamentable instance of the prevalent confusion of thought on this point is shown by the vocal scores of the Bach cantatas corresponding to the edition of the Bach Gesellschaft (which must not be held responsible for them).
The singleneedle instrument is a vertical needle galvanoscope worked by a battery and reversing handle, or two " tapper " keys, the motions to right and left of one end of the index corresponding to the dashes and dots of the Morse alphabet.
The metal is quite permanent in dry air, but in moist air it becomes coated with a superficial layer of the oxide; it burns on heating to redness, forming a brown coloured oxide; and is readily soluble in mineral acids with formation of the corresponding salts.
The birth-rate shows a corresponding decrease from 38~I(per 1000 in 1881 to 33.29 in 1902.
The appendages show various types of form and structure corresponding to different functions.
Molybdenum sesquioxide, Mo 2 O 3, a black mass insoluble in acids, is formed by heating the corresponding hydroxide in vacuo, or by digesting the trioxide with zinc and hydrochloric acid.
The corresponding expression for two orthogonal cylinders will be With a 2 = co, these reduce to / y /, = Uy (I ra 2 p22 +-C24)..
In 1822 he became director of the Seeberg observatory, and in 1825 was promoted to a corresponding position at Berlin, where a new observatory, built under his superintendence, was inaugurated in 1835.
A physical occurrence is but the occasion (opportunity, occasional cause) on which God excites in me a corresponding mental state; the exercise of my will is the occasion on which God moves my body.
There arose a class of king's thegns, corresponding to the earlier thegns, and a larger class of inferior thegns, some of them the thegns of bishops or of other thegns.
Gardiens de la pair (sometimes called sergents de yule, gardes de yule or agents de police) are not to be confounded with the gendarmerie, being a branch of the administrative police and corresponding more or less nearly with the English equivalent police constables, which the gendarmerie do not, although both perform police duty.
He slipped the motel key in the left shoe and then rolled each sock, pushing it into its corresponding shoe.
When one of a series of keys (each corresponding to a letter) arranged round a pointer is depressed, the motion of the pointer, which is geared to the shuttle armature, is arrested on coming opposite that particular key, and the transmission of the currents to line is stopped, though the armature itself can continue to rotate.
At regular intervals a rotating arm on the distributor connects the five keys of each keyboard to line, thus passing the signals to the distant station, where they pass through the distributor and certain relays which repeat the currents corresponding to the depressed keys and actuate electromagnets in the receivers.
Each receiver is provided with five electromagnets corresponding to the five keys of the keyboard, and the armatures of the electromagnets can thus repeat the various combinations for all the signals allocated to the different combinations of the keys.
When a combination of signals has been received and the armatures have taken up their respective positions corresponding to the transmitting keyboard, certain mechanism in the receiver translates the position of the five armatures into a mechanical movement which lifts the paper tape against a type-wheel and prints the corresponding letter.
After a very short interval of time, the length of which depends on the inductive retardation of the cable, the condensers corresponding to C 1 and C3 at the other end begin to be charged from the cable, and since the charge of C3 passes through the receiving instrument I or G the signal is recorded.
When the key is released the condensers and cables at once begin to return to zero potential, and if the key is depressed and released several times in rapid succession the cable is divided into sections of varying potential, which travel rapidly towards the receiving end, and indicate their arrival there by producing corresponding fluctuations in the charge of the condenser C3.
These trains are produced by pressing the key in the primary circuit of the induction coil for a longer or shorter time' and generating a long or short series of oscillatory electric sparks between the spark balls with a corresponding creation of trains of electric waves.
Such a sequence of decreasing electric oscillations and corresponding set of waves is called a damped train.
It was then found that when electric waves fell on the antenna a sound was heard in the telephone as each wave train passed over it, so that if the wave trains endured for a longer or shorter time the sound in the telephone was of corresponding duration.
The appliances in the Poldhu station were subsequently enlarged and improved by Marconi, and corresponding power stations erected at Cape Cod, Massachusetts, U.S.A., and at Cape Breton in Nova Scotia.
When the connecting string is held taut and sounds, such as those of ordinary speech, are produced in front of one of the membranes, pulses corresponding to the fluctuations of the atmospheric pressure are transmitted along the string and communicated to the other membrane, which in its turn communicates them to the air, thus reproducing the sound.
These electric pulses were made to act on an electromagnet at the receiving station, which, in accordance with Page's discovery, gave out a sound of a pitch corresponding to the number of times it was magnetized or demagnetized per second.
The suggestion of Bourseul and the experiments of Reis are founded on the idea that a succession of currents, corresponding in number to the successive undulations of the pressure on the membrane of the transmitting instrument, could reproduce at the receiving station sounds of the same character as those produced at the sending station.
currents, and sounds were given out corresponding in pitch, and also to some extent in quality, with the sounds produced at the transmitting station.
The varying pressure on A, when a sound was produced near it, caused corresponding variations in the pressure on the carbon powder, and this produced similar variations in its electric resistance.
This alteration of charge caused a corresponding change in the mutual attraction of the plates of the condenser; hence the flexible plate was made to copy the vibrations of the diaphragm of the transmitter.
When the sounding board was spoken to or subjected to sound-waves, the mechanical resistance of the loose electrode, due to its weight, or the spring, or both, served to vary the pressure at the contact, and this gave to the current a form corresponding to the sound-waves, and it was therefore capable of being used as a speaking-telephone transmitter.'
farther, from the basin-shaped group of the Monti del Matese (which rises to 6660 ft.) to the neighbourhood of Potenza, in the heart of the province of Basilicata, corresponding nearly to the ancient Lucania.
The great variety in physical and social conditions throughout the peninsula gives corresponding variety to the methods of agriculture.
Wilder varieties roam in vast herds over the Tuscan and Roman maremmas, and the corresponding districts in Apulia and other regions.
The general improvement in sanitation has led to a corresponding improvement in the condition of the working classes, though much still remains to be done, especially in the south.
The total imports for the first six months of 1907 amounted to 57,840,000, an increase of 7,520,000 as compared with the corresponding period of 1906.
The exports for the corresponding period amounted to 35,840,000, a diminution of 1,520,000 as compared with the corresponding period of 1906.
The professors are ordinary and extraordinary, and free professors (liberi docenti), corresponding to the German Privatdozenten, are also allowed to be attached to the universities.
As yet the Cassa Ecclesiastica had no right to dispose of the property thus entrusted to it; but in 1862 an act was passed by which it transferred all its real property to the national domain, and was credited with a corresponding amount by the exchequer.
These words, which revealed the absence of any stipulation in regard to the protection of Italian interests in the Mediterranean, created lively dissatisfaction in Italy and corresponding satisfaction in France.
No chapter corresponding to this is found in the Articles and none was inserted in the reissues of Magna Carta.
In the majority of cases we do not know the polyp corresponding to a given medusa, or the medusa that arises from a given polyp.'
common flesh, which cannot be assigned more to one individual than another, but consists of a more or less complicated network of tubes, corresponding to the hydrocaulus and hydrorhiza of the primitive independent polypindividual.
The marginal tentacles are rarely absent in non-parasitic forms, and are typically four in number, corresponding to the four perradii marked by the radial canals.
The ring-canal is drawn out in Narcomedusae into festoons corresponding with the lobes of the margin, and may be obliterated altogether (Solmaris).
corresponding to the twelve Velum.
In embryology the method finds its expression in the limitation of comparisons to the corresponding stages of low and high forms and the exclusion of the comparisons between the adult stages of low forms and the embryonic stages of higher forms.
As neighbouring dioceses coalesced into " provinces " and provinces into larger districts (corresponding to the civil " dioceses " of the later Roman Empire), the provincial synods of bishops and the synods of the larger districts acquired a criminal jurisdiction, still purely spiritual, of their own.
The growth of a special " original " jurisdiction at Constantinople, which perhaps developed earlier than the corresponding institution at Rome, may be traced to the fact that bishops from all parts were constantly in Constantinople.
The fore limbs grow simultaneously, and even more rapidly, but remain concealed within a diverticulum of the branchial chambers until fully formed, when they burst through the skin (unless the left spiraculum be utilized for the egress of the corresponding limb).
of supporting axes from assimilating appendages, and as the body increases in size and becomes a solid mass of cells or interwoven threads, a corresponding differentiation of a superficial assimilative system from the deep-lying parts.
The gametophyte, which bears the sexual organs, is either a free-living thallus corresponding in degree of differentiation with the lower liverworts, or it is a mass of cells which always remains enclosed in a spore and is parasitic upon the sporophyte.
The cylinder is surrounded by a mantle of one or more layers of parenchymatous cells, the pericycle, and the xylem is generally separated from the phloem in the stem by a similar layer, the mesocycle (corresponding with the amylom sheath in mosses).
I mesocycle joining with the corresponding outer segments to form a nearly concentric structure.
Each J~ 1 1 / Stelein bundle has its own ~ investment of tissue P corresponding with external conjunctive, and now called peridesm.
The bundles sometimes keep their arrangement s v in a ring corresponding with the stele, though the continuous cylin 0 der no longer exists (species of - Ranunculus).
They possess a delicate Laticiferous layer of protoplasm, with numerous small nuclei lining Tissue the walls, while the interior of the tube (corresponding with the cell-vacuole) contains a fluid called latex, consisting of an emulsion of fine granules and drops of very various substances suspended in a watery medium in which various other substances (salts, sugars, rubber-producers, tannins, alkaloids and various enzymes) are dissolved.
If, on the contrary, the gradual cooling is met by a corresponding depletion of the cells of water, even intense cold may be sustained without injury.
The chromatin is distributed throughout the cytoplasm in the form of granules which may be regarded as a distributed nucleus corresponding to what Hertwig has designated, in protozoa, chromidia.
It is also probable that the various forms of the angiospermous flower, with its many specialized mechanisms for pollination, may be the result of insect-visits, the flowers becoming adapted to certain kinds of insects, and the insects having undergone corresponding modification.
The evidence which has thus been briefly summarized, points unmistakably to the conclusion that existing vegetation originated in the northern hemisphere and under climatic conditions corresponding to what would now be termed sub-tropical.
Its arboreal vegetation is richer both in genera and species than that corresponding to it in the Old World.
Soc., 1869, p. 25) points out that the west European species of Erica, Genisteae, Lobelia, Gladiolus, &c., an some of them more nearly allied to corresponding Cape species thai they are to each other; and many of the somewhat higher races of ~, mrnl ~prmprs, h,i-mr~ pvdprii-1v div~rmred from stock now unrepresented anywhere but in South Africa.
Its complexity reflects the corresponding intricacy of geographical and geological evolution.
Continued existence implies perpetual adaptation to new conditions, and, as the adjustment becomes more refined, the corresponding structural organization becomes more elaborate.
The distribution of the mass of the atmosphere over the surface of the earth is also controlled by the relief of the crust, its greater or lesser density at the surface corresponding to the lesser or greater elevation of the surface.
(corresponding to 30001, -, the mean level of the whole globe).
The oxides of type RO are soluble in water, the solution possessing a strongly alkaline reaction and rapidly absorbing carbon dioxide on exposure; they are basic in character and dissolve readily in acids with the formation of the corresponding salts.
By the reduction of nitro-phenols, the corresponding aminophenols are obtained, and of these, the metaand para-derivatives are the most important.
This pad varies much; it is morphologically the homologue of the pair of basiventral elements which by their lateral extension give origin to the corresponding ribs.
Parker has described vestiges of the corresponding cartilages in the Apteryx (Phil.
Mailer introduced the terms Polymyodi and Tracheophones, Huxley that of Oligomyodi; Mailer himself had, moreover, pointed out the more important characters of the mode of insertion, but it was Garrod who invented the corresponding terms of Acro- and Mesomyodi (= Tracheophones+Oligomyodi).
After promising fidelity and the abandonment of the Scots marriage scheme, Cecil took him corresponding with Mary and tampering with the Ridolfi plot.
The Copley medal was conferred upon him in 1823, and the Lalande prize in 1817 by the Paris Academy, of which he was a corresponding member.
by 28, and appears to be partly of volcanic origin and to consist partly of older rocks corresponding with those of Sumatra.
The corresponding border town on the Syrian side is represented by the picturesque and finely preserved ruins called Salahiya, the Ad-dalie or Dalie (Adalia) of Arabic times, two days below Deir, whose more ancient name is as yet unknown.
It is frequently used as a reducing agent: in acid solutions it reduces ferric to ferrous salts, arsenates to arsenites, permanganates to manganous salts, &c., whilst in alkaline solution it converts many organic nitro compounds into the corresponding amino derivatives.
Disulphuryl chloride, S 2 O 5 C1 2, corresponding to pyrosulphuric acid, is obtained by the action of sulphur trioxide on sulphur dichloride, phosphorus oxychloride, sulphuryl chloride or dry sodium chloride: 650 3- + 2POC1 3 = P 2 O 5 + 3S 2 O 5 C1 2; S2C12+ 5503 = S 2 0 5 C1 2 + 550 2; SO 3 + SO 2 C1 2 = S 2 0 5 C1 2; 2NaC1 + 3SO 3 = S 2 0 5 C1 2 -1 Na 2 SO 4.
Persulphuric acid, HS04, the acid corresponding to S207, has not been obtained in the free state, but its salts were first prepared in 1891 by H.
The city 1 The state of Panama, with boundaries nearly corresponding to those of the present republic, and including the province of Panama and other provinces, was created in 1855 by legislative enactment.
The coal is here confined to the lower division of the system; the Upper Carboniferous (corresponding with the English Coal-Measures) is exclusively marine, consisting chiefly of Fusulina limestone.
limits, roughly corresponding with those established by Murchison, but not yet settled in the S.E.
Europe), but it occurs in summer, and everywhere the months of advanced spring are warmer than the corresponding months of autumn.
Russia the summer is much warmer than in the corresponding latitudes of France, and really hot weather is.
This act liberated the serfs from a yoke which was really terrible, even under the best landlords, and from this point of view it was obviously an immense benefit.2 But it was far from securing corresponding economic results.
In the United Kingdom the number for the corresponding year was 447, or less than one-third.
In the latest years in which comparisons can be made, the passenger journeys in the United Kingdom amounted to 1500 millions (including season-ticket holders, estimated) and the train n iles to 428.3 millions, while the corresponding figures in the United States were 873.9 millions and 1171.9 millions.
There are two main ways of attaching the rails to the sleepers, corresponding to two main types of rails - the bull-headed rail A B FIG.
The curves corresponding to the above expressions are plotted in fig.
17, four values of L being taken for formula (12) corresponding to trains of 5, 10, 15 and 20 bogie carriages.
465)/32 = 28,720 ib, and the corresponding horse-power which must be developed in the cylinders is, from (20), f V/550, and this is with f and V equal to the above values, 1149.
The draught corresponding to the smallest rate of combustion shown in Table XX.
The form of the torque curve, or crank effort curve, as it is sometimes called, is discussed in the article Steam Engine, and the torque curve corresponding to actual indicator diagrams taken from an express passenger engine travelling at a speed of 65 m.
Hence, if p is the maximum value of the mean effective pressure corresponding to about 85% of the boiler pressure,, uW = pd 2 le /D (26) is an expression giving a relation between the total weight on the coupled wheels, their diameters and the size of the cylinder.
ft., that the rate of combustion is 150 lb of coal per square foot of grate per hour, that the calorific value is 14000, and finally that n =0.06, the maximum indicated horse-power which the engine might be expected to develop would be o 06 X 150 x14000 X24 X 778/1980000 = I 190, corresponding to a mean effective pressure in the cylinders of 59.5 lb per square inch.
The corresponding boiler efficiencies are given in the third column of the table, when they are known, and the combined efficiencies in the fourth column.
In no case could an engine receiving steam at the tem perature corresponding to this pressure and rejecting heat at 212° F.
which the area represents from the following formula, which is expressed in terms of the absolute temperature T, of the steam at the steam-pipe, and the temperature T2= 461°H-212° =673° absolute corresponding to the back pressure: - Maximu per pound oflsteaelwork =U=(T - T) (i -f -Lr--.1) - T2loge.Tr--2.
From the diagram it will be seen that the corresponding efficiency of the ideal engine is about 0.18.
Lines representing efficiency ratios of o 6, 0.5 and 0.4 are plotted on the diagram, so that the efficiency ratios corresponding to the various experiments plotted may be readily read off.
In a particular case where the boiler pressure was maintained constant at 130 lb per square inch, and the cut-off was approximately 20% of the stroke, the values c =55 and b=o 031 were deduced, from which it will be found that the value of the piston speed corresponding to the maximum horsepower is 887 ft.
Indicator diagram corresponding to 1 lb.
Since high average speed on a line with frequent stops depends largely on rapidity of acceleration, the tendency in modern equipment is to secure as great an output of power as possible during the accelerating period, with corresponding increase in weight available for adhesion.
The orders actually granted have allowed 50 lb, 56 lb, 60 lb and 70 lb rails, with corresponding axle loads of 10, 12, 14 and 16 tons.
parent only very remotely, corresponding to an early stage in the life-history of that parent.
in length, and half as much in width, and of a thickness corresponding with that of the quartzite ridges on the hills above.
Corresponding to heaven, the abode of the righteous, we have Ge-henna (originally Ge-Hinnom, the scene of the Moloch rites of human sacrifice), the place of punishment after death for apostate Jews.
The fossil remains which have been discovered in Britain are not larger than, nor in any way to be distinguished from, the corresponding bones and teeth of European wolves of the present day.
In February 1845 he received the announcement of his election as corresponding member of the French Institute in place of the Spanish historian Navarrete, and also of the Royal Society of Berlin.
But the heads of the church carried the day, and, more stringent measures being adopted against dissenters, Schwenkfeld left Strasburg for a time, residing in various cities of south Germany and corresponding with many nobles.
Three distinct parasites, corresponding with the tertian,.
AMAND BAZARD (1791-1832), French socialist, the founder of a secret society in France corresponding to the Carbonari of Italy, was born at Paris.
This tribe, called Bruttii and Brittii in Latin inscriptions, and Bpirrtot on Greek coins and by Greek authors, occupied the south-western peninsula of Italy in historical times, the ager Bruttius (wrongly called Bruttium) corresponding almost exactly to the modern Calabria.
The supreme governing authority was vested in magistrates called Cosmi, answering in some measure to the Spartan Ephori, but there was nothing corresponding to the two kings at Sparta.
In 1642 Henderson, whose policy was to keep Scotland neutral in the war which had now broken out between the king and the parliament, was engaged in corresponding with England on ecclesiastical topics; and, shortly afterwards, he was sent to Oxford to mediate between the king and his parliament; but his mission proved a failure.
In any case, only the eastern districts would have been affected by invaders from over the Rhine, the chief seat of the Belgae proper being in the west, the country occupied by the Bellovaci, Ambiani and Atrebates, to which it is probable (although the reading is uncertain) that Caesar gives the distinctive name Belgium (corresponding to the old provinces of Picardy and Artois).
The rapid extension of tobacco culture was accompanied by a corresponding growth in the manufacture of chewing and smoking tobacco and snuff, and some of the brands have a wide reputation.
The vowels play no part in differentiating the roots, for the vowels are practically the same in the corresponding forms of every root.
(2) Hebrew has one more sibilant than Arabic or Syriac: thus, as corresponding to s (samekh), s (sin) sh in Hebrew, Arabic has only s (sin) sh, while Syriac has a different pair s (samekh) sh.
It would appear probable, however, that the former of these words was derived from an Assyrian or Hebrew root, which signifies the west or setting sun, and the latter from a corresponding root meaning the east or rising sun, and that they were used at one time to imply the west and the east.
This diminution of pressure, which continues as the heat increases till it reaches its maximum in July soon after the solstice, is followed by the corresponding development of the south-west monsoon; and as the barometric pressure is gradually restored, and becomes equalized within the tropics soon after the equinox in October, with the general fall of temperature north of the equator, the south-west winds fall off, and are succeeded by a north-east monsoon, which is developed during the winter months by the relatively greater atmospheric pressure which then occurs over Asia, as compared with the equatorial region.
Such a reduction of temperature is brought about along the greater part of the coasts of India and of the BurmoSiamese peninsula by the interruption of the wind current by continuous ranges of mountains, which force the mass of air to rise over them, whereby the air being rarefied, its specific capacity for heat is increased and its temperature falls, with a corresponding condensation of the vapour originally held in suspension.
There is also a corresponding diffusion o f Japanese and Chinese forms along this zone, these being most numer - ous in the eastern Himalaya, and less frequent in the west.
The latter, corresponding substantially to the present province of West Prussia, remained subject to Poland until 1309, when it was divided between Brandenburg and the Teutonic Order.
They are disposed in two groups on either side, corresponding in the Polychaeta to the parapodia; the two bundles are commonly reduced among the earthworms to two pairs of setae or even to a single seta.
In Hyperiodrilus the whole spermatheca is thus included in a corresponding sac, which is of great extent.
We have thus the replacement of a spermatheca, corresponding to those of the remaining families of Oligochaeta, and derived, as is believed, from the epidermis, by a structure performing the same function, but derived from the mesoblastic tissues, and with a cavity which is coelom.
The sole difference is therefore that in Eudrilus the ovarian sac gives rise to a tube which bifurcates, one branch meeting a corresponding branch of the other ovary of the pair, while the second branch reaches the exterior.
of mercury, and, when of specific gravity 1.295 (corresponding to about 80% of glycerin), it is distilled under a vacuum of 28 to 29 in.
It is an oxide of iron having the formula Fe 3 O 4, corresponding with 72.4% of metal, whence its great value as an ore.
At Sukhumkaleh, on the Black Sea, the corresponding range is only 27.3°, between a January average of 48.8° and an August average of 76.1°.
The early divisions of the county were known as wapentakes, five being mentioned in Domesday, while 13th-century documents mention seven wapentakes, corresponding with the six present hundreds, except that Repton and Gresley were then reckoned as separate divisions.
He derives his name Climax (or Climacus) from his work of the same name (KMµa 701i Ilapa5Eivov, ladder to Paradise), in thirty sections, corresponding to the thirty years of the life of Christ.
Corresponding to Proserpine as goddess of the dead is the old Norse goddess Hel (Gothic Halja), whom Saxo Grammaticus calls Proserpine.
The Highland Society having early extended its operations to the whole of Scotland, by and by made a corresponding addition to its title, and as the Highland and Agricultural Society of Scotland gradually extended its operations.
When the shell is sinistral the asymmetry of the organs is usually reversed, and there is a complete situs inversus viscerum, the direction of the spiral of the shell corresponding to the position of the organs of the body.
The siphon is an incompletely tubular outgrowth of the mantle margin on the left side, contained in a corresponding outgrowth of the edge of the shell-mouth, and serving to conduct water to the respiratory cavity.
This is a groove, the edges of which are raised and ciliated, lying near the branchial plume in the genera which possess that organ, whilst in Firoloida, which has no branchial plume, the osphradium occupies a corresponding position.
As happened at every stage of Napoleon's advancement, the states tributary to France underwent changes corresponding to those occurring at Paris.
Here Arsaces and his brother Tiridates are derived from the royal house of the Achaemenids, probably from Artaxerxes II.; the young Tiridates is insulted by the prefect Agathocles or Pherecles; in revenge the brothers with five companions (corresponding to the seven Persians of Darius) slay him, and Arsaces becomes king.
The demiurge of the Mandaeans, and corresponding to the Ialdabaoth of the Ophites, he at the instance of his father frames the earth and men - according to some passages in conjunction with the seven bad planetary spirits.
QvvaUapcov, from avvityEt y, to bring together), the name given in the Greek Church to a compilation corresponding very closely to the martyrology of the Roman Church.
The legs, wings and other organs of the trunk receive their nerves from the thoracic and abdominal ganglia, and the fusion of several pairs of these ganglia may be regarded as corresponding to a centralization of individuality.
Moreover, in many insects with imperfect metamorphosis the change from larva or (as the later stage of the larva is called in these cases) nymph to imago is about as great as the corresponding change in the Holometabola, as the student will recognize if he recalls the histories of Ephemeridae, Odonata and male Coccidae.
In 1828 James Wilson (author of the article Ornithology in the 7th and Wilson 8th editions of the present work) began, under the title of Illustrations of Zoology, the publication of a series of his own drawings (which he did not, however, himself engrave) with corresponding letterpress.
But, relieved as it may be by reflections of this kind - dreams some may perhaps still call them - the study of ornithology has unquestionably become harder and more serious; and a corresponding change in the style of investigation, followed in the works that remain to be considered, will be immediately perceptible.
usually 'AXX6 puyes), a Celtic tribe in the north of Gallia Narbonensis, inhabiting the low ground called the "island" between the Rhodanus, the Isara and the Graian Alps, corresponding to the modern Dauphine and Savoy.
Thus the Mintra of the Malay Peninsula have a demon corresponding to every kind of disease known to them; the Tasmanian ascribed a gnawing pain to the presence within him of the soul of a dead man, whom he had unwittingly summoned by mentioning his name and who was `devouring his liver; the Samoan held that the violation of a food tabu would result in the animal being formed within the body of the offender and cause his death.
Corresponding to the animal guardian of the ordinary man, we have the familiar of the witch or wizard.
In modern spiritualism the familiar is represented by the "guide," corresponding to which we have the theosophical "guru."
(g) Corresponding to the personal tutelary spirit (supra, b) we have the genii of buildings and places.
Corresponding to him we have the drudging goblin of English folklore.
A new form had therefore to be invented for the genuine b in Slavonic, to which there was, at the period when the alphabet was adopted, no corresponding sound in Greek.
have in their Latin representation gu- for Germanic w-, guisa corresponding to English wise and reborrowed indirectly as guise.
Sea Island cotton seed is rather more valuable than Upland: the corresponding figures for the three principal constituents being nitrogen 3.51, phosphoric acid 1 69, potash 1.59%.
higher price than the corresponding grade of cotton from the Sea Islands themselves.
Potassium cyanide reacts with this acid to form the corresponding dinitrile, which is converted by hydrochloric acid into citric acid.
did twice at Antioch, in 1119 and 1130; but the kings regarded this right of regency as a burden rather than a privilege, and it is indeed characteristic of the relation of the king to the three princes, that it imposes upon him duties without any corresponding rights.
(5) Kinnesrin, corresponding to northern Syria; the capital at first was Kinnesrin (Qinnasrin) to the south of Haleb (Aleppo), by which it was afterwards superseded.
The instrument can be provided with a curve or table showing the current corresponding to each angular displacement of the torsion head.
Each instrument is accompanied by a pair of weights and by a square root table, so that the product of the square root of the number corresponding to the position of the sliding weight and the ascertained constant for each weight, gives at once the value of the current in amperes.
Of remains of the Roman period, however, there are none above ground, though various discoveries have been made from time to time within the city walls, the modern streets corresponding more or less, as it seems, with the ancient lines.
The corresponding decomposition of a glyceride into an acid and glycerin takes place when the glyceride is distilled in superheated steam, or by boiling in water mixed with a suitable proportion of caustic potash or soda.
All the bones of the limbs are separate, and those of the carpus and tarsus do not alternate; that is to say, each one in the upper row is placed immediately above the corresponding one in the row below.
Towards the end of the 8th century they aided Charlemagne in putting an end to the Avar kingdom, and were rewarded by receiving part of it, corresponding to North Hungary, as a fief of the German emperor, whose supremacy they also acknowledged more or less for their other possessions.
in 1892; he was made a corresponding member of the French Academy of Moral and Political Science and a fellow of the British Academy.
When very young he showed his interest in the past history of his native land, and in 1617, at the age of twenty-three, he had set to work looking through archives, copying charters, and corresponding with the principal men of learning of his time, the brothers Dupuy, Andre Duchesne and Jean Besly, whom he visited in Poitou.
As the immediate result of this change the offices of heads of departments in Berar, except the j udicial commissionership and the conservatorship of forests, were amalgamated with the corresponding appointments in the Central Provinces, and Berar is now treated as one of the divisions of that province for purposes of revenue administration, with a divisional commissioner as its immediate head.
This acid gives with silver nitrite the corresponding nitromalonic acid, which readily yielded the third nitromethane, CHaHb(N02),Hd, also identical with the first.
Moreover, while methylamine, dimethylamine, and trimethylamine increase in basicity corresponding to the introduction of successive methyl groups, phenylamine or aniline, diphenylamine, and triphenylamine are in decreasing order of basicity, the salts of diphenylamine being decomposed by water.
Soc. 61, p. 367): If the hydrogen compound of the substituent already in the benzene nucleus can be directly oxidized to the' corresponding hydroxyl compound, then meta-derivatives predominate on further substitution, if not, then orthoand paraderivatives.
5]- ethylisophthalic acid, and with butyric aldehyde the corresponding propylisophthalic acid.
This latter compound may be chlorinated to perchloracetoacrylic chloride (9), from which the corresponding acid (to) is obtained by treatment with water; alkalis hydrolyse the acid to chloroform and dichlormaleic acid (I I).
A doubly linked pair of atoms is denoted by the sign A with the index corresponding to the side; if there are two pairs of double links, then indices corresponding to both sides are employed.
But, at the same time, the constants in the above relation are not identical with those in the corresponding relation empirically deduced from observations on fatty hydrocarbons; and we are therefore led to conclude that a benzene union is considerably more stable than an ethylene union.
Two acids corresponding to the formula of Kekule and Claus are triphenyl acrylic acid, (C6H5)2C: C([[Cooh) C 6 H]],, and triphenyl acetic acid, (C,H,),C 000H.
Thelfirst four substances are readily formed from, and converted into, the corresponding dihydroxy open-chain compound; these substances are truly aliphatic in character.
Selenophene gives the series: selenazole, diazoselenide and piaselenole, corresponding to oxazole, diazo-oxides and furazane.
From the pyrone ring the following series of compounds are derived (for brevity, the hydrogen atoms are not printed): Penthiophene gives, by a similar introduction of nitrogen atoms, penthiazoline, corresponding to meta-oxazine, and para-thiazine, CH 2 CH 2o CH CO „ .„0 C ?
H C corresponding to paroxazine (para-oxazine).
The specific heat of indium is o 057; and the atomic heats corresponding to the atomic weights 38, 76 and 114 are 3.2, 4.3, 6.5.
6 1.86 3.01 o 88 1.03 Since at the boiling-point under atmospheric pressure liquids are in corresponding states, the additive nature of the critical coefficient should also be presented by boiling-points.
Fora similar reason secondary alcohols boil at a lower temperature than the corresponding primary, the difference being about 19°.
An acetylenic or triple linkage is associated with a rise in the boiling-point; for example, propargyl compounds boil about 19.5° higher than the corresponding propyl compound.
Certain regularities attend the corresponding property of the melting-point.
This is true of the fatty acid series, and the corresponding ketones and alcohols, and also of the succinic acid series.
Obviously equimolecular surfaces are given by (Mv) 3, where M is the molecular weight of the substance, for equimolecular volumes are Mv, and corresponding surfaces the two-thirds power of this.
The equivalent volumes and topic parameters are tabulated: From these figures it is obvious that the first three compounds form a morphotropic series; the equivalent volumes exhibit a regular progression; the values of x and t,t, corresponding to the a axes, are regularly increased, while the value of w, corresponding to the c axis, remains practically unchanged.
If the crystal structure be regarded as composed of 0 three interpenetrating point systems, one consisting of sulphur atoms, the second of four times as many oxygen atoms, and the third of twice as many potassium atoms, the systems being so arranged that the sulphur system is always centrally situated with respect to the other two, and the potassium system so that it would affect the vertical axis, then it is obvious that the replacement of potassium by an element of greater atomic weight would specially increase the length of w (corresponding to the vertical axis), and cause a smaller increase in the horizontal parameters (x and 1/ '); moreover, the increments would advance with the atomic weight of the replacing metal.
If, on the other hand, the sulphur system be replaced by a corresponding selenium system, an element of higher atomic weight, it would be expected that a slight increase would be observed in the vertical parameter, and a greater increase recorded equally in the horizontal parameters.
Two cases then arise: (I) the properties may be expressed as linear functions of the composition, the terminal values being identical with those obtained for the individual components, and there being a break in the curve corresponding to the absence of mixed crystals; or (2) similar to (I) except that different values must be assigned to the terminal values in order to preserve collinearity.
By plotting the specific volumes of these mixed crystals as ordinates, it is found that they fall on two lines, the upper corresponding to the orthorhombic crystals, the lower to the monoclinic. From this we may conclude that these salts are isodimorphous: the upper line represents isomorphous crystals of stable orthorhombic magnesium sulphate and unstable orthorhombic ferrous sulphate, the lower line isomor phous crystals of stable monoclinic ferrous sulphate and unstable monoclinic magnesium sulphate.
A male Pales was sometimes spoken of, corresponding in some respects to Pan; the female Pales was associated with Vesta and Anna Perenna.
A similar body, with a title corresponding to 4LAot, is found in ancient Egypt (Erman, Ancient Egypt, Eng.
In a general sense, the word means having two corresponding parts or in duplicate.
This compound gives a blue potassiumand lithium-ultramarine when treated with the corresponding chloride, and an ethyl-ultramarine when treated with ethyl icdide.
There is a ladies' branch of the Kennel Club, and the corresponding clubs in America are the Ladies' Kennel Association of America and the Ladies' Kennel Association of Massachusetts.
(4) The corresponding change, in the case of the rural slaves, took place through their being merged in the order of coloni.
At Montevecchio he lived contentedly among his books, in the neighbourhood of his two friends, Pico at Querceto, and Poliziano at Fiesole, cheering his solitude by playing on the lute, and corresponding with the most illustrious men of Italy.
In the more recent hymns of the Rig-Veda and in later India, on the other hand, only evil spirits are understood by asuras, while in Iran the corresponding word ahura was, and ever has continued to be, the designation of God the Lord.
There has been no agricultural advance corresponding to that which has taken place in Orkney, mainly owing to the poverty and insufficiency of the soil.
When a number of specimens have to be submitted to pressure, ventilation is secured by means of frames corresponding in size to the drying paper, and composed of strips of wood or wires.
When adjacent burial areas belonged to members of the same Christian confraternity, or by gift or purchase fell into the same hands, communications were opened between the respective cemeteries, which thus spread laterally, and gradually acquired that enormous extent which, " even when their fabulous dimensions are reduced to their right measure, form an immense work."' This could only be executed by a large and powerful Christian community unimpeded by legal enactments or police regulations, " a living witness of its immense development corresponding to the importance of the capital."
front, consisting of a centre and two divisions corresponding with the nave and aisles, has been described as "more architecturally perfect as a composition and in its details than that of any other English cathedral," the great window above the door being considered by some superior to the famous E.
Owen for that division of ungulate mammals in which the toe corresponding to the middle (third) digit of the human hand and foot is symmetrical in itself, and larger than those on either side (when such are present).
ELMALI (" apple-town"), a small town of Asia Minor in the vilayet of Konia, the present administrative centre of the ancient Lycia, but not itself corresponding to any known ancient city.
During the American military occupation of the island in 1899-1902, of the total imports 45.9% were from the United States, 14 from other American countries, 15 from Spain, 14 from the United Kingdom, 6 from France and 4 from Germany; of the exports the corresponding percentages for the same countries were 70.7, 2, 3, To, 4 and 7.
The corresponding figures for Spain were $7,265,142 and $20,035,183; and for the United Kingdom, $714,837 and $11,971,129, the trade with other countries being of much less amount.
This position he founded on the law of wages formulated by Ricardo, and accepted by all the leading economists, that wages are controlled by the ordinary relations of supply and demand, that a rise in wages leads to an increase in the labouring population, which, by increasing the supply of labour, is followed by a corresponding fall of wages.
Its salts may be obtained in some cases by heating the corresponding nitrates, but the method does not give good results.
This relation-number is the ordinal number corresponding to n; let it be symbolized by it.
Thus, corresponding to the cardinal numbers 2, 3, 4.
The definitions of the finite ordinals can be expressed without use of the corresponding cardinals, so there is no essential priority of cardinals to ordinals.
Similarly, a class of serial relations, called well-ordered serial relations, can be defined, such that their corresponding relation-numbers include the ordinary finite ordinals, but also include relation-numbers which have many properties like those of the finite ordinals, though the fields of the relations belonging to them are not finite.
Similarly, the other rational integers must be distinguished from the corresponding cardinals.
Similarly, any rational real number is distinct from the corresponding rational number.
Each definition gives rise to a corresponding algebra of higher complex numbers.
This event illustrates the three dominant characteristics of Bosnian history: the strength of the aristocracy; the corresponding weakness of the central authority, enhanced by the lack of any definite rule of inheritance; and the supreme influence of religion.
In exchange for the subsistence of the French troops of occupation, a corresponding number of these new levies were moved to the south of France, where they commenced to arrive at.
On the morrow after the sabbath a wave offering and also a burnt offering of the he-lamb (with the corresponding meal and drink offering).
These were presented in the month Rajab, corresponding to Nisan (Smith, Religion of Semites, p. 210).
The first three form together a progressive introduction to Christianity corresponding to the stages through which the Aim7ns passed at Eleusis - purification, initiation, revelation.
The climate of the east coast is on the whole considerably more arctic than that of the west coast on corresponding latitudes; the land is much more completely snowcovered, and the snow-line goes considerably lower.
What Cardiff lacks is a corresponding import trade, for its imports in 1906 amounted to only 2,108,133 tons, of which the chief items were iron ore (8 9 5,610 tons), pit-wood (303,407), grain and flour (298,197).
They are separated from the minerals by converting them into oxalates, which by ignition give the corresponding oxides.
broad; so corresponding approximately to the Greek stage as described by Vitruvius.
The branchial bars which constitute the borders of the clefts are of two kinds: - (i) Septal bars between two contiguous clefts, corresponding to the primary bars in Amphioxus; (2) Tongue bars.
When they are arranged in uniserial or biserial rows the genital ducts open into or near the branchial grooves in the region of the pharynx and in a corresponding position in the post-branchial region.
18.14%, S=0.96%, O = 22.66%, which points to the formula C720H1134N218S50241, corresponding to the molecular weight 16,954.
Corresponding with this result we find that the freezing point of dilute solutions indicates that two pressure-producing particles per molecule are present.
can be calculated by adding together the corresponding properties of the parts.
In order that this should hold, we have seen that a considerable quantity of acetic acid must be present, so that a corresponding amount of the salt will be decomposed, the quantity being greater the less the acid is dissociated.
Now a well-known relation connects the available energy of a reversible system with the corresponding change in its total internal energy.
Thus, if L denote the heat corresponding with the chemical changes associated with unit electric transfer, Le will be the heat corresponding with an electric transfer e, and will also be equal to the change in internal energy of the cell.
In 1753 he was elected a corresponding member of the Paris Academy of Sciences, and shortly afterwards he became professor of philosophy in the Barnabite College of St Alexander at Milan.
An Orthodox bishop, vested for the holy liturgy, wears over his cassock - (i) the rnxcipcov, or alb (q.v.); the E7nrpay,Acov, or stole (q.v.); (3) the a narrow stuff girdle clasped behind, which holds together the two vestments above named; (4) the E7 n, uaviexa, liturgical cuffs, corresponding, possibly, to the pontifical gloves of the West;' (5) the i 7rtyovarcov, a stiff lozengeshaped piece of stuff hanging at the right side by a piece of riband from the girdle or attached to the o-AKKos, the equivalent of the Western maniple (q.v.); (6) the like the Western dalmatic (q.v.), worn instead of the 4acv6Acov, or chasuble; (7) the c?µocp6pcov, the equivalent of the Western pallium (q.v.).
In the Protestant Churches 2 the custom as to vestments differs widely, corresponding to a similar divergence in tradition and teaching.
Two such folds maybe distinguished, corresponding on a smaller scale to the belt of alpine tracts which fringe the plateau on the north-west.
Tschermak, in 1878, regarded them as isomorphous mixtures of the following fundamental molecules: H 2 KA1 3 (SiO 4) 3, corresponding with muscovite; Mg 6 Si 3 0 12, a hypothetical polymer of olivine; and H4S15012, a hypothetical silicic acid.
The ventral valve in many of the genera is provided with two curved hinge-teeth, which fit into corresponding sockets in the opposite valve, so that the valves cannot be separated without breaking one of the teeth.
members corresponding to the n!
Hence we have the development A = a11A11 +a12Al2 +a13A13+ï¿½ï¿½ï¿½ +ainAin, proceeding according to the elements of the first row and the corresponding minors.
This determinant and that associated with Aik are termed corresponding determinants.
From the theorem given above for the expansion of a determinant as a sum of products of pairs of corresponding determinants it will be plain that the product of A= (a ll, a22, ï¿½ï¿½ï¿½ ann) and D = (b21, b 22, b nn) may be written as a determinant of order 2n, viz.
The Adjoint or Reciprocal Determinant arises from A = (a11a22a33 ...a nn) by substituting for each element A ik the corresponding minor Aik so as to form D = (A 11 A 22 A 33 ï¿½ï¿½ï¿½ A nn).
Let the determinant of the b's be Ab and B rs, the minor corresponding to b rs .
7r corresponding to Thomas Waring's formula for the single system.
To obtain the corresponding theorem concerning the general form of even order we multiply throughout by (ab)2' 2c272 and obtain (ab)2m-1(ac)bxc2:^1=(ab)2mc2 Paying attention merely to the determinant factors there is no form with one factor since (ab) vanishes identically.
It will be a useful exercise for the reader to interpret the corresponding covariants of the general quantic, to show that some of them are simple powers or products of other covariants of lower degrees and order.
If m > n there are n +1 transvectants corresponding to the values o, t, 2,...
Putting n equal to co, in a generating function obtained above, we find that the function, which enumerates the asyzvgetic seminvariants of degree 0, is 1 1-z2.1-z3.1-z4....1-z0 that is to say, of the weight w, we have one form corresponding to each non-unitary partition of w into the parts 2, 3, 4,...0.
In General It Is A Seminvariant Of Degrees 0, 0', And Weight 0 0' S; To This There Is An Exception, Viz., When 0=O, Or When 0'=O, The Corresponding Partial Degrees Are 1 And 1.
The linear transformation replaces points on lines through the origin by corresponding points on projectively corresponding lines through the origin; it therefore replaces a pencil of lines by another pencil, which corresponds projectively, and harmonic and other properties of pencils which are unaltered by linear transformation we may expect to find indicated in the invariant system.
Or, instead of looking upon a linear substitution as replacing a pencil of lines by a projectively corresponding pencil retaining the same axes of co-ordinates, we may look upon the substitution as changing the axes of co-ordinates retaining the same pencil.
As new axes of co-ordinates we may take any other pair of lines through the origin, and for the X, Y corresponding to x, y any new constant multiples of the sines of the angles which the line makes with the new axes.
The uppermost lock is St John's, below Lechlade; the lowest is Richmond, but this is a half-tide lock, keeping the water above at a level corresponding to half that of flood tide.
The corresponding hydrate, Pb(OH)2, is obtained as a white crystalline precipitate by adding ammonia to a solution of lead nitrate or acetate.
This salt gives the corresponding chloride and fluoride with hydrochloric and hydrofluoric acids, and the phosphate, Pb(HP04)2, with phosphoric acid.
Sulphurous acid reduces it to the corresponding dihydroxy compound.
The corresponding value of the solar parallax is 8.782".
The sum of the corresponding numbers multiplied by 332600 gives Log.
du Bois has deduced the corresponding mean demagnetizing factors.
When either the magnetization I or the induction B corresponding to a given magnetizing force H is known, the other may be found by means of the formula B = 41rI + H.
From the former we deduce Ho, and from the latter the corresponding value of I, using the formulae Ho = 47rin/l and I - X s, (d (-- 11)2n7rr 2 i where s is the deflection in scale-divisions, n the distance in scaledivisions between the scale and the mirror, and r the radius of the wire.
In practice it is usual to standardize or " calibrate " the galvanometer by causing a known change of induction to take place within a standard coil connected with it, and noting the corresponding deflection on the galvanometer scale.
Let s be the area of a single turn of the standard coil, n the number of its turns, and r the resistance of the circuit of which the coil forms part; and let S, N and R be the corresponding constants for a coil which is to be used in an experiment.
Then if a known change of induction SB a inside the standard coil is found to cause a throw of d scale-divisions, any change of induction SB through the experimental coil will be numerically equal to the corresponding throw D multiplied by snRBa/SNrd.
12 shows the nature of the course taken by the curve when the magnetizing current, after having been raised to the value corresponding to the point a, is diminished by steps until it is nothing, and then gradually increased in the reverse direction.
The closed figure a c d e a is variously called a hysteresis curve or diagram or loop. The area f HdB enclosed by it represents the work done in carrying a cubic centimetre of the iron through the corresponding magnetic cycle; expressed in ergs this work is I HdB.
II, S is kept permanently closed, and corresponding values of H and B are determined by one of the two methods already described, the strength of the battery-current being varied by means of the adjustable resistance R.
When a hysteresis curve is to be obtained, the procedure is as follows: The current is first adjusted by means of R to such a strength as will fit it to produce the greatest + and - values of the magnetizing force which it is intended to apply in the course of the cycle; then it is reversed several times, and when the range of the galvanometer throws has become constant, half the extent of an excursion indicates the induction corresponding to the extreme value of H, and gives the point a in the curve fig.
Steinmetz's formula may be tested by taking a series of hysteresis curves between different limits of B,' measuring their areas by a pianimeter, and plotting the logarithms of these divided by 47r as ordinates against logarithms of the corresponding maximum values of B as abscissae.
The actual experiment to which it relates was carried only as the point marked X, corresponding to a magnetizing force of 65, and an induction of nearly 17,000.
Rowland, believing that the curve would continue to fall in a straight line meeting the horizontal axis, inferred that the induction corresponding to the point B-about 17,500-was the highest I Phil.
Below is given a selection from Bidwell's tables, showing corresponding values of magnetizing force, weight supported, magnetization, induction, susceptibility and permeability: - A few months later R.
The greatest weight supported in the experiments was 14,600 grammes per square cm., and the corresponding induction 18, Soo units.
1898, 27, 526), the value of the magnetic induction corresponding to a single stated magnetizing force is directly read off on a divided scale.
Thus any desired number of corresponding values of H and B can be easily and quickly found.
The corresponding intensity of the outside field was 24,500, but, owing to the wide angle of the cones used (about X63°), this was probably greater than the value of the magnetic force within the metal.
H(= B -47rI) was calculated from corresponding values of I and B.
But this " critical value " of the force is found to depend in an unexpected manner upon the hardness of the steel; the critical value diminishes as the hardness becomes greater up to a certain point, corresponding to a yellow temper, after which it increases and with the hardest steel becomes very high.
The following table shows the values of I and H corresponding to the Villari critical point in some of Ewing's experiments: The effects of pulling stress may be observed either when the wire is stretched by a constant load while the magnetizing force is varied, or when the magnetizing force is kept constant while the load is varied.
Heydweiller, 2 which appeared to indicate a reversal in weak fields (corresponding to I= 5, or thereabouts), have been shown by Honda and Shimizu to be vitiated by the fact that his specimen was not initially in a magnetically neutral state; they found that when the applied field had the same direction as that of the permanent magnetization, Heydweiller's fallacious results were easily obtained; but if the field were applied in the direction opposite to that of the permanent magnetization, or if, as should rightly be the case, there were no permanent magnetization at all, then there was no indication of any Villari reversal.
The anticipated reversal was duly found by Chree, the critical point corresponding, under the moderate stress employed, to a field of about 120 units.
- It has long been known that iron, when raised to a certain " critical temperature " corresponding to dull red heat, loses its susceptibility and becomes magnetically indifferent, or, more accurately, is transformed from a ferromagnetic into a paramagnetic body.
For nearly pure nickel the corresponding temperature-difference was about 100°.
The behaviour of cobalt is particularly noticeable; its permeability increased with rising temperature up to a maximum at 500°, when it was about twice as great as at ordinary temperatures, while at 1600°, corresponding to white heat, there was still some magnetization remaining.
When the curve after its steep descent has almost reached the axis, it bends aside sharply and becomes a nearly horizontal straight line; the authors suggest that the critical temperature should be defined as that corresponding to the point of maximum curvature.
After this operation had been repeated a few times the iron was found to have acquired a stable condition, and the curves corresponding to the two temperatures became perfectly definite.
The maximum permeability (for H = 2) was 3400 at 15° and only 2700 at - 186°, a reduction of more than 20%; but the percentage reduction became less as the magnetizing force departed from the value corresponding to maximum permeability.
The values of the permeability corresponding to the highest and lowest temperatures are given in the following table.
Hence in performing a cycle there is a waste of energy corresponding to what has been termed hysteresis-loss.
The corresponding appendages are marked with the same Roman numeral.
(After Lankester, loc. cit.) eyes, it is to be noted that no Crustacean has structures corresponding to the peculiar diplostichous central eyes, though these occur again (with differences in detail) in Hexapoda.
The entosternite was probably in origin part of the fibrous connective tissue lying close to the integument of the sternal surface - giving attachment to muscles corresponding more or less to those at present attached to it.
mets mets, The right and left metasternites (corresponding to the similarly placed pentagonal sternite of Scorpio).
c. Its four transverse lobes or outgrowths corresponding to the four coxae.
- Nomomeristic Arachnids, in which the somites corresponding to mesosoma and metasoma have entirely aborted.
In 1912 in the corresponding area there were 98 secondary schools with 22,600 pupils, one per 26,000 inhabitants (in Germany one per 54,000).
ORION (or OARION), in Greek mythology, son of Hyrieus (Eponymus of Hyria in Boeotia), or of Poseidon, a mighty hunter of great beauty and gigantic strength, perhaps corresponding to the "wild huntsman" of Teutonic mythology.
Darzens (Comptes Rendus, 1904, 139, p. 1214) prepares esters of disubstituted glycidic acids, by condensing the corresponding ketone with monochloracetic ester, in the presence of sodium ethylate.
They are easily oxidized to the corresponding fatty acid, in many cases simply by exposure to air.
Unsaturated aldehydes are also known, corresponding to the olefine alcohols; they show the characteristic properties of the saturated aldehydes and can form additive compounds in virtue of their unsaturated nature.
At the head of the pagus was the comes, corresponding to the German Graf (Gaugraf, cf.
The head of the divine hierarchy of Mithras was Infinite Time - Cronus, Saturn; Heaven and Earth were his offspring, and begat Ocean, who formed with them a trinity corresponding to Jupiter, Juno, and Neptune.
ryepovaia, Doric ^yfpwia), the ancient council of elders at Sparta, corresponding in some of its functions to the Athenian Boule.
The year is usually divided into a winter (inverno) and summer (verao), corresponding approximately to a dry and wet season.
The corresponding form for the ordination of a priest was " Receive thou the Holy Ghost: whose sins thou dost forgive," &c. These were the sole forms in use from 1552 to 1 562.
In 1852 the revenue was £27,158 and the expenditure £ 24,296, and in 1862 the corresponding figures were £98,799 and £85,928.
Its investigations pointed to the loosening of tribal ties and to the corresponding growth of a spirit of individual independence.
One of the first of these attacks was made by Berengarius of Tours (999-1088) upon the doctrine of transubstantiation; he denied the possibility of a change of substance in the bread and wine without some corresponding change in the accidents.
Nitrosohydrocarbons have been prepared in the aliphatic series by the oxidation of the corresponding hydroxylamino compounds.
Ruff (Ber., 18 9 8, 3 1, p. 457) from nitro-di-isobutyl by reducing it to the corresponding hydroxylamino compound with aluminium amalgam and oxidizing this with chromic acid mixture.
Five subdivisions may be recognised in the Miocene deposits, corresponding with five different stages in the evolution of southern Europe.
The corresponding figures for 1880 were as follows: passengers carried, 9,34 6, 00 0; goods carried, 11,225,000 tons; traffic receipts, £4,300,000.
The corolla is generally funnelshaped, more rarely bell-shaped or tubular; the outer face is often marked out in longitudinal areas, five well-defined areas tapering from base to apex, and marked with longitudinal striae corresponding to the middle of the petals, and alternating with five non-striated weaker triangular areas; in the bud the latter are folded inwards, the stronger areas being exposed and showing a twist to the right.
In each of these cases, however, the reasoning which enables us to replace one statement by another is of a different kind from the reasoning in the corresponding cases of ï¿½ 15.
We find that fractions follow certain laws corresponding exactly with those of integral multipliers, and we are therefore able to deal with the fractional numbers as if they were integers.
When, by practice with logarithms, we become familiar with the correspondence between additions of length on the logarithmic scale (on a slide-rule) and multiplication of numbers in the natural scale (including fractional numbers), A /5 acquires a definite meaning as the number corresponding to the extremity of a length x, on the logarithmic scale, such that 5 corresponds to the extremity of 2X.
We take a fixed line OX, usually drawn horizontally; for each value of X we measure a length or abscissa ON equal to x.L, and draw an ordinate NP at right angles to OX and equal to the corresponding value of y .
21 }- &c. } It will be seen that the expression in curled brackets in each line after the first is obtained from the corresponding expression in the preceding line by a definite process; viz.
(vi.) It follows that, if two multinomials of the nth degree in x have equal values for more than n values of x, the corresponding coefficients are equal, so that the multinomials are equal for all values of x.
a succession of numbers corresponding to the numbers I, 2, 3, ...) which possesses the property that, by starting far enough in the sequence, the range of variation of all subsequent terms can be made as small as we please, but (x+h) n always lies between the two values determining the range.
This insertion of irrational numbers (with corresponding negative numbers) requires for its exact treatment certain special methods, which form part of the algebraic theory of number, and are dealt with under Number.
These works possess considerable originality, and contain many new improvements in algebraic notation; the unknown (res) is denoted by a small circle, in which he places an integer corresponding to the power.
Special linguistic and other privileges were assured to the Italian minority in the Dalmatian towns, but no corresponding charter was granted to the four to five hundred thousand Slovenes and Croats annexed to Italy.
It is to be noted that, whilst the zoological system took the form of a genealogical tree, with main stem and numerous diverging branches, the actual form of that tree, its limitation to a certain number of branches corresponding to a limited number of divergences in structure, came to be regarded as the necessary consequence of the operation of the physico-chemical laws of the universe, and it was recognized that the ultimate explanation of that limitation is to be found only in the constitution of matter itself.
The component vibrations at P due to the successive zones are thus nearly equal in amplitude and opposite in phase (the phase of each corresponding to that of the infinitesimal circle midway between the boundaries), and the series which we have to sum is one in which the terms are alternately opposite in sign and, while at first nearly constant in numerical magnitude, gradually diminish to zero.
Now as to the phase of the secondary wave, it might appear natural to suppose that it starts from any point Q with the phase of the primary wave, so that on arrival at P, it is retarded by the amount corresponding to QP. But a little consideration will prove that in that case the series of secondary waves could not reconstitute the primary wave.
The first root after zero is thus in the third quadrant, corresponding to m =1.
The part corresponding to negative values of u is similar, OA being a line of symmetry.
The brightness (corresponding to B) midway between the two central points AA' is 8106 of the brightness at the central points themselves.
The obliquity, corresponding to u =7, is such that the phases of the secondary waves range over a complete period, i.e.
12 -7r2R4 x2 f 2 The roots of Jo(z) after the first may be found from We may compare this with the corresponding result for a rectangular aperture of width a, tlf = X/a; and it appears that in consequence of the preponderance of the central parts, the compensation in the case of the circle does not set in at so small an obliquity as when the circle is replaced by a rectangular aperture, whose side is equal to the diameter of the circle.
The accompanying table is given by Lommel, in which the first column gives the roots of J2(z) =o, and the second and third columns the corresponding values of the functions specified.
This 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.
At other parts of the field the effect is the same, in accordance with the principle known as Babinet's, whether the imaginary screen in front of the object-glass is generally transparent but studded with a number of opaque circular disks, or is generally opaque but perforated with corresponding apertures.
Let AoBo be a plane wave-surface of the light before it falls upon the prisms, AB the corresponding wave-surface for a particular part of the spectrum after the light has passed the prisms, or after it has passed the eye-piece of the observing telescope.
The directions of the lateral spectra are such that the passage from one element of the grating to the corresponding point of the next implies a retardation of an integral number of wave-lengths.
The vibrations corresponding to the two parts are precisely antagonistic, since if both were operative the resultant would be zero.
From (5) we see that, when the light falls perpendicularly upon a grating (0=o), there is no spectrum formed (the image corresponding to m=o not being counted as a spectrum), if the grating interval a or (a+d) is less than X.
Then the relative retardation of the extreme rays (corresponding to the edges A, B of the grating) is mnX.
nor diminishes the If we define as the " dispersion " in a particular part of the spectrum the ratio of the angular interval dB to the corresponding increment of wave-length dX, we may express it by a very simple formula.
According to the principle already laid down it can make but little difference in the principal direction corresponding to the first spectrum, provided each line lie within a quarter of an interval (a+d) from its theoretical position.
The latter found that certain gratings exercised a converging power upon the spectra formed upon one side, and a corresponding diverging power upon the spectra on the other side.
If x and y be co-ordinates in the plane of the wave-surface, the axis of y being parallel to the lines of the grating, and the origin corresponding to the centre of the beam, we may take as an approximate equation to the wave-surface -- -} z =+Bxy 2, +ax 3 13x2 2pp p y+-yxy2-?-Sy3+..
Previously to the introduction of the plate we have an effect corresponding to wave-lengths closely grouped around the principal wave-length, viz.
7rv 7rt 5 7r 5 v 9 The corresponding values of C and S were originally derived by A.
If V be the value of v corresponding to CA, viz.
The position of Q corresponding to a given value of V, that is, to a band of given order, is by (19) BQ= aa b AD=V?
The utility of the curve depends upon the fact that the elements of arc represent, in amplitude and phase, the component vibrations due to the corresponding portions of the primary wave-front.
" Let E = o,7 7 = o, =f (bt - x) be the displacements corresponding to the incident light; let O l be any point in the plane P (of the wave-front), dS an element of that plane adjacent to 01; and consider the disturbance due to that portion only of the incident disturbance which passes continually across dS.
The only assumption here involved is the evidently legitimate one that, when two systems of variously distributed motion at the lamina are superposed, the corresponding motions in front are superposed also.
If, instead of supposing the motion at dS to be that of the primary wave, and to be zero elsewhere, we suppose the force operative over the element dS of the lamina to be that corresponding to the primary wave, and to vanish elsewhere, we obtain a secondary wave following quite a different law.
(16), secondary disturbance corresponding to the element dS of the plane may be supposed to be that caused by a force of the above magnitude acting over dS and vanishing elsewhere; and it only remains to examine what the result of such a force would be.
In the north portico a square hole in the floor, with a corresponding hole in the roof above it, must have given access to another sacred object, the mark of Poseidon's trident in the rock.
59) gives a list of their gods, with the Greek deities corresponding, but we cannot tell what aspect of the Greek deity is in question.
21 - the my will be that part of the orchestra which played the melody to be sung, virtually corresponding, mutatis mutandis, to what we now call the choir organ, and we need not complicate the compilation of the Psalter by postulating an altogether unnecessary " Director's Psalter."
- (A) The oldest version, the LXX., follows a text generally closely corresponding to the Massoretic Hebrew, the main variations being in the titles and in the addition (lacking in some MSS.) of an apocryphal psalm ascribed to David when he fought with Goliath.
A papal diploma, still extant, shows that Count Borel and Bishop Octo or Otho of Ausona were at Rome in January 971, and, as all the other indications point to a corresponding year, enables us to fix the chronology of Gerbert's later life.
The Transvaal revenue (apart from railway receipts) in 1908-1909 was £5,735,000, the corresponding expenditure £4,524,000.
Taking the refractive index of water for the red rays as 0;, and for the violet rays as 1 r, we can calculate the following values for the minimum deviations corresponding to certain assigned values of n.
Details of the morphology of plants will be found in the articles relating to the chief groups of plants, those of animals in the corresponding articles on groups of animals, while the classification of animals adopted in this work will be found in the article ZOOLOGY.
Piperonal (q.v.) is the corresponding aldehyde.
member of the university of Kiev, and of the Prussian, Bavarian and Danish academies; he received the Prussian order Pour le Write, and was corresponding member of the Academie des sciences morales et politiques of the French Institute.
The male head-dress was the galerus, a hat of leather, said to have been worn by the Lucumos in early times, or the apex, a pointed hat corresponding to the tutulus worn by females.
In this period, however, the tunica, corresponding to the Greek chiton, was universally worn in ordinary life, and the toga gradually became a full-dress garment which was only worn over the tunica on important social occasions; Juvenal (iii.
In Annam the rainy season begins during September and lasts for three or four months, corresponding with the northeast monsoon and also with a period of typhoons.
(r) An ancient seaport of Illyria, corresponding with the modern Butrinto.
There are six species of monkey corresponding to those of Guiana and the Amazon valley, the sloth and ant-eater, 12 known genera of rodents, including many species of Mures, the cavy, the capybara, the paca, the nutria, the agouti, the tree porcupine, Loncheres cristata, Echimys cayen and the Brazilian hare.
The New English Dictionary points out that whereas the old Teutonic type of the word is neuter, corresponding to the Latin numen, in the Christian applications it becomes masculine, and that even where the earlier neuter form is still kept, as in Gothic and Old Norwegian, the construction is masculine.
at a period corresponding to the condensation of the fibrous laminae and the disappearance of the cellular character of the granulation tissue.
Hansemann's "anaplasia " hypothesis seeks to find an explanation of the formation of new growths in the absence of the histological differentiation of the cell associated with a corresponding increase in its proliferative power and a suspension, or loss, of its functional activity.
The ancient commote of Senghenydd (corresponding to the modern hundred of Caerphilly) comprised the mountainous district extending from the ridge of Cefn Onn on the south to Breconshire on the north, being bounded by the rivers Taff and Rumney on the west and east.
Every orbit must clearly have a hodograph, and, conversely, every hodograph a corresponding orbit; and, theoretically speaking, it is possible to deduce the one from the other, having given the other circumstances of the motion.
The number of students of medicine must at one time have been considerable, and in a corresponding degree the number of teachers.
Not that the spirit of the science, or of its corresponding practice, was at once changed.
These remedies were arcana - a word corresponding partly to what we now call specific remedies, but implying a mysterious connexion between the remedy and the "essence" of the disease.
Sometimes acid sometimes alkaline properties predominated in the juices and secretions of the body, and produced corresponding disturbances.
Haller occupied in the new university of Gottingen (founded 1737) a position corresponding to that of Boerhaave at Leiden, and in like manner influenced a very large circle of pupils, The appreciation of his work in physiology belongs to the history of that science; we are only concerned here with its influence on medicine.
In Italy, on the other hand, it received enthusiastic support, and, naturally, a corresponding degree of opposition.
The practical difference in the corresponding treatment was very great, as Rasori advocated a copious use of bleeding and of depressing remedies, such as antimony.
By chemical warnings the defensive processes seem to be awakened, or summoned; and when we think of the infinite variety of such possible phases, and of the multitude of corresponding defensive agents, we may form some dim notion of the complexity of the animal blood and tissues, and within them of the organic molecules.
Toxins may thus become so closely keyed into their corresponding atom groups, as for instance in tetanus, that they are no longer free to combine with the antitoxin; or, again, an antitoxin injected before a toxin may anticipate it and, preventing its mischievous adhesion, dismiss it for excretion.
With this broader and more accurate knowledge of the conditions of the health of the circulation a corresponding efficiency has been gained in the manipulation of certain remedies and new methods of treatment of heart diseases, especially by baths and exercises.
In acoustics he invented, about 1819, the improved siren which is known by his name, using it for ascertaining the number of vibrations corresponding to a sound of any particular pitch, and he also made experiments on the mechanism of voice-production.
The working out of each floor is conducted much as if it were a bed of corresponding thickness.
At the end of the stroke, when his platform comes opposite to a corresponding platform on the other rod, he steps over on to the latter during the instant of rest prior to the reversal of the stroke, descends with the second rod on this down stroke, steps again at the proper time to a platform of the first rod and so on to the bottom.
To decrease the velocity, when large volumes of air are required, the air passages are made larger, and the mine is divided into sections and the air current subdivided into a corresponding number of independent circuits.
Many sections, however, contained in the corresponding par