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Page "Jacobi symbol" ¶ 37
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difference and between
I think it is essential, however, to pinpoint here the difference between the two concepts of sovereignty that went to war in 1861 -- if only to see better how imperative is our need today to clarify completely our far worse confusion on this subject.
The difference between confederacy and federal union in 1861
Many believe -- and understandably -- that the great difference between the Constitution of the Southern Confederacy and the Federal Constitution was that the former recognized the right of each state to secede.
'' The other important difference between the two Constitutions was that the President of the Confederacy held office for six ( instead of four ) years, and was limited to one term.
One is tempted to say that, on the difference between the concepts of sovereignty in these two preambles, the worst war of the Nineteenth century was fought.
I murmured something about a possible difference between New Mexico's history and Mississippi's.
If we examine the three types of change from the point of view of their internal structure we find an additional profound difference between the third and the first two, one that accounts for the notable difference between the responses they evoke.
Now we can argue that the irresistible fate of Oedipus Rex was nothing more than the irresistible unconscious longings of Oedipus projected outward, but this externalization of unconscious conflict makes all the difference between a story and a clinical case history.
Free world decisions in this matter may spell the difference between world disaster and world progress in freedom.
The second timely part of this sketch of literature and the search for identity has to do with the difference between good and enduring literary works and the ephemeral mass culture products of today.
he was given the difference between that amount and $5000.
Banks the Butcher was a hard master and a hard father, a man who didn't seem to know the difference between the living flesh of his family and the hanging carcasses of his stock in trade.
Democratic Speaker Champ Clark saw little difference between a conscript and a convict.
The other reason ( and the one with which I am here concerned ) is that one thus becomes inclined to inquire of any opinion, or change of opinion, whether it represents the wisdom of experience or is only the result of the difference between youth and age which is as inevitable as the all too obvious physical differences.
Although the false glamour surrounding bourbon or other whisky commercials is possibly no more fatuous than the pseudo-sophistication with which TV soft-drinks are downed or toothpaste applied, there is a sad difference between enticing a viewer into sipping Oopsie-Cola and gulling him into downing bourbon.
This matter is of great importance, and the outcome may mean the difference between life or death, or at least serious injuries, for many veterans.
Such payments shall be made to small domestic producers of lead as long as the market price for common lead at New York, New York, as determined by the Secretary, is below 14-1/2 cents per pound, and such payments shall be 75 per centum of the difference between 14-1/2 cents per pound and the average market price for the month in which the sale occurred as determined by the Secretary.
Such payments shall be made to small domestic producers of zinc as long as the market price for prime western zinc at East Saint Louis, Illinois, as determined by the Secretary, is below 14-1/2 cents per pound, and such payments shall be 55 per centum of the difference between 14-1/2 cents per pound and the average market price for the month in which the sale occurred as determined by the Secretary.
A second fundamental principle is that involved particularly in the present proceeding -- the difference between nighttime and daytime propagation conditions with respect to the standard broadcast frequencies.
Because of the difference between daytime and nighttime propagation conditions, it has been necessary to evolve different allocation structures for daytime and nighttime broadcasting in the AM band, with many more stations operating during the day than at night.
Compare the vast difference in scope and beauty between his neat and witty little Classical Symphony and his big, muscular, passionate, and eloquent Fifth Symphony ; ;
We may then dismiss the time difference between these courses and the usual four year course of the interior design student as not having serious bearing on the subject.

difference and two
It overcomes our emphatic awareness of the vast difference in the shape and fabric of the two languages and styles of dramatic presentation.
If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.
There appeared to be no difference in the distribution of anti-A and anti-B activity in group O serum, though in two group O donors ( J. F. and E. M. ) only one type of agglutinin was found in the regions of low anionic binding capacity ( Figs. 1 and 2 ).
Thus it is reasonable to believe that there is a significant difference between the two groups in their performance on this task after a brief `` structuring '' experience.
The greatest difference in the two sets of figures is due to differences in the two sets of lists used.
And there is less rhythmic difference between progressive jazz, no matter how progressive, and Dixieland, than there is between two movements of many conventional symphonies.
A further example of the incompatible difference in personalities was when two policemen held up a Torrio beer convoy on a West Side street and demanded $300 to let it through.
However, there is a crucial difference between the two histories.
But in the Chinese mind, there was little difference between the two -- the bonzes were no more metaphysical than a magician has to be.
This distinction accounts for the difference in mass and charge between the two particles.
The sum, difference, product and quotient of two algebraic numbers is again algebraic ( this fact can be demonstrated using the resultant ), and the algebraic numbers therefore form a field, sometimes denoted by A ( which may also denote the adele ring ) or < span style =" text-decoration: overline ;"> Q </ span >.
Others have discredited the theory about the Galilean Tekoa, citing that the difference in elevation between the two locations is not significant.
According to Hume, the difference between the two is that ideas are less vivacious than impressions.
In this way he discovered the electrochemical series, and the law that the electromotive force ( emf ) of a galvanic cell, consisting of a pair of metal electrodes separated by electrolyte, is the difference between their two electrode potentials ( thus, two identical electrodes and a common electrolyte give zero net emf ).
The real difference between the two is the limiting height.
Charpak and Broch noted that " there is a difference of about twenty-two thousand miles between Earth's location on any specific date in two successive years " and that thus they should not be under the same influence according to astrology.
In LS AAS background absorption can only be corrected using instrumental techniques, and all of them are based on two sequential measurements, firstly, total absorption ( atomic plus background ), secondly, background absorption only, and the difference of the two measurements gives the net atomic absorption.

difference and calculations
The covalent energy of a bond is approximately, by quantum mechanical calculations, the geometric mean of the two energies of covalent bonds of the same molecules ( which is approximately equal to the arithmetic mean-which is applied in the first formula above-as the energies are of the similar value, except for the highly electropositive elements i. e. when there is a larger difference of two dissociation energies, but the geometric mean is more accurate and almost always gives a positive excess energy, due to ionic bonding ), and there is an additional energy that comes from ionic factors, i. e. polar character of the bond.
In 1833, Charles Babbage moved on from developing his difference engine ( for navigational calculations ) to a general purpose design, the Analytical Engine, which drew directly on Jacquard's punched cards for its program storage.
The actual numerical difference can be very small when considering small molecules and the molecular mass of the most common isotopomer in which case the error only matters to physicists and a small subset of highly specialized chemists ; however it is always more correct, accurate and consistent to use molar mass in any bulk stoichiometric calculations.
Although this difference is trivial in bulk chemistry calculations, it can result in complete failure in situations where the behavior of individual molecules matters, such as in mass spectrometry and particle physics ( where the mixture of isotopes does not act as an average ).
When the actual transmitted ( incident ) power and the reflected power are known ( i. e., through measurements and / or calculations ), then the return loss in dB can be calculated as the difference between the incident power P < sub > i </ sub > ( in dBm ) and the reflected power P < sub > r </ sub > ( in dBm ),
The Rate of Return on investment should be the dominant factor in evaluating the market's assessment of the difference between the " Future Value " and the " Present Value " of a payment ; and it is the Market's assessment that counts the most .< Ref Name =" Economics_Competition "/> Therefore, the " Discount Yield ", which is predetermined by a related Return on Investment that is found in the financial markets, is what is used within the " Time Value of Money " calculations to determine the " Discount " required to delay payment of a financial liability for a given period of time.
This mass difference appears once evolved heat and radiation have been removed, which is a given requirement for measuring the ( rest ) masses of the ( non-excited ) nuclides involved in such calculations.
The most notable difference was the addition of the SSE instruction set ( to accelerate floating point and parallel calculations ), and the introduction of a controversial serial number embedded in the chip during the manufacturing process.
The chief difference between the 19th century Millerite and Adventist movements and contemporary prophecy belief is that William Miller and his followers fixed the time for the Second Coming by calendar calculations based on interpretations of the Biblical apocalypses ; they originally set a date for the Second Coming in 1844.
Model calculations show that the air pressure difference with decreased sea ice cover in the Arctic summer is weakened in the following winter, enabling Arctic cold to push down to mid-latitudes.
Typical membrane potentials in animal cells are on the order of 100 millivolts ( that is, one tenth of a volt ), but calculations show that this generates an electric field close to the maximum that the membrane can sustain — it has been calculated that a voltage difference much larger than 200 millivolts could cause dielectric breakdown, that is, arcing across the membrane.
Hence OpenAL cannot be used for Time difference of arrival calculations unless you write that functionality yourself.
The following calculations demonstrate the quantitative difference between the quantity of oxygen dissolved in the blood and that carried by oxygen.

0.407 seconds.