These discrepancies can be reconciled on reference to yet another record bound up with the narratives of the four Italians aforesaid, and of much the same period.
Since the limitation of the width of the central band in the image of a luminous line depends upon discrepancies of phase among the secondary waves, and since the discrepancy is greatest for the waves which come from the edges of the aperture, the question arises how far the operation of the central parts of the aperture is advantageous.
Considerable discrepancies occur in the lists given by different authorities.
This is shown in the following table (the values are for Ha) Additive relations undoubtedly exist, but many discrepancies occur which may be assigned, as in the case of molecular volumes, to differences in constitution.
Many discrepancies have been observed among critics in the different portions of this series of enactments.
These discrepancies however are chiefly of interest in their bearing upon the problem of the Pentateuch, and really throw little light upon the origin of the two feasts connected together under the name of the Passover, to which the present remarks must be mainly confined.
This is a highly ingenious hypothesis to explain the discrepancies of the text, but is, after all, nothing but hypothesis.
It is stated in the gospels that the Last Supper was the Passover meal, though certain discrepancies between the accounts given in the Synoptics and in John render this doubtful.
Discrepancies difficult to account for were found among the estimates of even the best observers.
The phase of the resultant amplitude is the same as that due to the central secondary wave, and the discrepancies of phase among the components reduce the amplitude in the proportion l ` dri): 3?
The larger the aperture the smaller are the angles through which it is necessary to deviate from the principal direction in order to bring in specified discrepancies of phase - the more concentrated is the image.
At neighbouring points the A illumination is less, in conse quence of the discrepancies of phase which there enter.
That neither this, nor any other, companion of Paul can have been the author of the whole work is supposed to follow both from its theological temper and from discrepancies between its statements and those of the Pauline Epistles on matters of fact.
A second group of systems may be said to consist of those proposed by Lehmann-Haupt, Marquart, Peiser, and Rost, for these writers attempted to get over the discrepancies in the data by emending some of the figures furnished by the inscriptions.
The balance of opinion was in favour of those of the first group of writers, who avoided emendations of the figures and were content to follow the Kings' List and to ignore its apparent discrepancies with other chronological data; but it is now admitted that the general principle underlying the third group of theories was actually nearer the truth.
Of 8th-century Ionians describing 12th-century events) with that of historic Greece, by explaining discrepancies (due to Homeric ignorance) as the result of " migrations " in the interval.
It is held, however, that the startling discrepancies are not so difficult to explain as may appear at first sight.
These discrepancies render it extremely difficult to determine the exact correspondence of Macedonian dates with those of other eras; and the difficulty is rendered still greater by the want of uniformity in respect of the length of the year.
Philip had also reported the king's anxiety for instruction in Catholic discipline and for reconciliation with the apostolic see in regard to all discrepancies, and his desire to have a church in Rome and an altar at Jerusalem.
It was not only significant that in the Concordia discordantium canonum ecclesiastical laws, whether from authentic or forged sources, were gathered together without regard to the existing civil law; of even greater eventual importance was the fact that Gratian taught that the contradictions of the canon law were to be reconciled by the same method as that used by theology to reconcile the discrepancies of doctrinal tradition.
The modern arrangement is somewhat arbitrary and there are several marked discrepancies between it and the account given xxv.
As regards the effects of his subsequent remorse and the use to which his ill-gotten gains were put, the strikingly apparent discrepancies between the narratives of Matt.
Isolated discrepancies of this kind may be due to some accident to our text at a period now beyond our power to trace.
Numerous and striking discrepancies may be due to the fact that there was more than one edition or recension of it in early times, or to the author leaving his work in such a condition that such discrepancies must inevitably gain currency.
He thought that a basis for reconciliation of Protestant and Catholic might be found in a common piety, combined with reticence upon discrepancies of doctrinal statement.
The fact that there are discrepancies between the two versions as they appear in the Hank's Book and in the Flatey Book does not justify the overthrow of both as historical evidence.
Papyrifera of many botanists), the discrepancies in geography, ethnology and zoology, which have been so troublesome in the past, will disappear; other features, usually considered obscure, will become luminous; and the older and less distorted sagas, at least in their main incidents, will become vivid records of actual geographic exploration."
The discrepancies are chiefly due to the error of the fundamental assumption that the rate of cooling is the same at the same temperature under the very different conditions existing in the two parts of the experiment.
When such discrepancies came to the cognizance of Mahomet it was doubtless his desire that only one of the conflicting texts should be considered authentic; only he never gave h i mself much trouble to have his wish carried into effect.
It was inevitable, however, that discrepancies should emerge between the texts of professed scholars, and as these men in their several localities were authorities on the reading of the Koran, quarrels began to break out between the levies from different districts about the true form that these initials did not belong to Mahomet's text, but might be the monograms of possessors of codices, which, through negligence on the part of the editors, were incorporated in the final form of the Koran; he now deems it more probable that they are to be traced to the Prophet himself, as Sprenger, Loth and others suppose.
Moreover, as they proceeded from a large number of independent authors, who wrote expressing their own opinions, they contained many discrepancies and contradictions, the dicta of one writer being controverted by another, while yet both writers might enjoy the same formal authority.
By this means the bulk of the statute law was immensely reduced, its obscurities and internal discrepancies in great measure removed, its provisions adapted, by the abrogation of what was obsolete, to the circumstances of Justinian's own time.
The explanation of these discrepancies in the fundamental constant is not at all clear, but they may be taken as an illustration of the difficulties of manipulation attending the use of this instrument, to which reference has already been made.
These discrepancies might, no doubt, be partly explained by differences in the units employed, which are somewhat uncertain, as the specific heat of water changes rapidly in the neighbourhood of o° C; but making all due allowance for this, it remains evident that the method of ice-calorimetry, in spite of its theoretical simplicity, presents grave difficulties in its practical application.
If such variations of density exist, they may introduce some uncertainty in the absolute values of results obtained with the ice calorimeter, and may account for some of the discrepancies above enumerated.
The First Experiments Of Any Value Were Those Of Regnault In 1847 On The Specific Heat Of Water Between 110° C. And 192° C. They Were Conducted On A Very Large Scale By The Method Of Mixture, But Showed Discrepancies Of The Order Of 0.5%, And The Calculated Results In Many Cases Do Not Agree With The Data.
J Amin And Amaury, And Of Many Other Experimentalists Who Succeeded Regnault, Appeared To Indicate Much Larger Rates Of Increase Than He Had Found, But There Can Be Little Doubt That The Discrepancies Of Their Results, Which Often Exceeded 5%, Were Due To Lack Of Appreciation Of The Difficulties Of Calorimetric Measurements.
6, Show A Minimum At 25° C., And A Maximum At 87° C., The Values Being 9935 And 1.0075 Respectively In Terms Of The Mean Specific Heat Between O° And 100° C. He Paid Great Attention To The Thermometry, And The Discrepancies Of Individual Measurements At Any One Point Nowhere Exceed O 3%, But He Did Not Vary The Conditions Of The Experiments Materially, And It Does Not Appear That The Well Known Constant Errors Of The Method Could Have Been Completely Eliminated By The Devices Which He Adopted.
For strong solutions the discrepancies from Raoult's law often become very large, even if dissociation is allowed for.
Thus for calcium chloride the depression of the freezing-point, when n =7, N= l oo, is nearly 60° C. At this point n" = Jo nearly, and the depression should be only 10 4° C. These and similar discrepancies have been very generally attributed to a loose and variable association of the molecules of the dissolved substance with molecules of the solvent, which, according to H.
Even at the boiling-points the discrepancies between different observers are frequently considerable.
The general improbability of the story was so manifest, and the discrepancies were so glaring, that neither then nor at any subsequent time did Charles express anything but amused, FIG.
The custom of dividing receipts and expenditures into ordinary and extraordinary, of treating the receipts from loans as revenue, of adding six months to the fiscal year for closing up accounts, and of dividing receipts and expenditures into separate gold and currency accounts, leads to much confusion and complication in the returns, and is the cause of unavoidable discrepancies and contradictions.
The most probable explanation of these discrepancies is that in their present form the satires are the work of the last thirty years of the poet's life, while the first nine at least may have preserved with little change passages written during his earlier manhood.
126, 1860), who suggests that its presence may perhaps account for the discrepancies in the analyses of aesculin given by different authors.
Moreover, even in the passages where the agreement with Polybius is most apparent, there are so many discrepancies and divergencies in detail, and so many unaccountable omissions and additions, as to render it inconceivable that he had the text of Polybius before him.
46) though often on no adequate grounds, or attempting to reconcile and explain discrepancies (vi.
The equation of light is the time taken by light to traverse the sun's mean distance from the earth; it can be found by the acceleration or retardation of the eclipses of Jupiter's satellites according as Jupiter is approaching opposition or conjunction with the sun; a recent analysis shows that its value is 498.6", which leads to the same value of the parallax as above, but the internal discrepancies of the material put its authority upon a much lower level.
The small discrepancies found are so easily accounted for by attributing them to experimental errors that, until recently, every chemist would have regarded the law as sufficiently verified.
The discrepancies produced in this way are, however, very small, if care is taken to minimize the distance between the silver film and the photographic plate and to select a reasonably good piece of glass for the reseau.
His divergencies from the Pentateuchal code gave rise to serious doubts, but, after prolonged study, the discrepancies were explained, and the book was finally canonized (Shah.
Certain discrepancies must also be noted.
This story is open to grave suspicion, as, apart from the miracles recorded, there are wide discrepancies between the secular Portuguese histories and the narratives written or inspired by Jesuit chroniclers of the 17th century.
Where the material is fuller, serious discrepancies are found; and where external evidence is fortunately available, the independent character of the biblical history is vividly illustrated.
Josephus says nothing of his being "eaten of worms," but the discrepancies between the two stories are of slight moment.
This conception of him is largely true, as is pointed out above, but it does not harmonize the contradictions of the book, the discrepancies between the piety of some passages and the emotional indifference toward God shown in others.
These values, however, require modification in certain cases, for discrepancies occur which can be reconciled in some cases by assuming that the atomic value of a polyvalent element varies according to the distribution of its valencies.
P. Dale; the more simple formula (n - i)/d, which remained constant for gases and vapours, but exhibited slight discrepancies when liquids were examined over a wide range of temperature, being adopted.
We cannot regard the appearance at Rome of the personage who related these marvels in presence of the pope as a mere popular fiction: it rests on two authorities apparently independent (one of them a letter from Odo of Reims, abbot of St Remy from 1118 to 1151), for their discrepancies show that one was not copied from the other, though in the principal facts they agree.