By the principle of energy the illumination over the entire focal plane must be equal to that over the diffracting area; and thus, in accordance with the suppositions by which (3) was obtained, its value when integrated from E= co to = -1-x, and from n = - oo to n = -1-oo should be equal to ab.
If we make the extreme suppositions of an infinitely small source and absolutely homogeneous light, there is no escape from the conclusion that the light in a definite direction is arbitrary, that is, dependent upon the chance distribution of apertures.
There have been three suppositions about Alfric. (I) He was identified with Alfric (995-1005), archbishop of Canterbury.
If these suppositions have a basis of reality, the proper motion of Algol should be disturbed by a small, but measurable undulation, corresponding to the projection of its orbit upon the sky; and although certainty on the point cannot be attained for some years to come, Lewis Boss regarded the evidence available in 1895 as tending to confirm Dr Chandler's theory.6 Proceedings Amer.
This Method Of Forming The Epacts Might Have Been Continued Indefinitely If The Julian Intercalation Had Been Followed Without Correction, And The Cycle Been Perfectly Exact; But As Neither Of These Suppositions Is True, Two Equations Or Corrections Must Be Applied, One Depending On The Error Of The Julian Year, Which Is Called The Solar Equation; The Other On The Error Of The Lunar Cycle, Which Is Called The Lunar Equation.
Error can arise only because we mix up our opinions and suppositions with what we actually feel.
These authors proved, however, that no optical system can justify these suppositions, since they are contradictory to the fundamental laws of reflexion and refraction.
One of the simplest suppositions open to us is that From this we obtain II(z) = 1 31 e-1 3z, '(z) =133 ((3z+I)e ?
The suppositions that he was the son of Clarence or of Richard III.
There is, however, one writer who sets forth so clearly the alternative suppositions respecting the origin of the world that he claims a brief notice.
Tobacco is most generally cultivated on loose red soils, which are rich in clays and silicates; and sugar-cane preferably on the black and mulatto soils; but in general, contrary to prevalent suppositions, colour is no test of quality and not a very valuable guide in the setting of crops.
He made use of the same suppositions as Daniel Bernoulli, though his calculus was established in a very different manner.
This view rests upon a series of suppositions, and is entirely unhistorical.
It is above all the substance of religious feeling, which is the immediate consciousness of the unity of the world, of the absolute oneness behind the infinite multiplicity of contrasts; indeed, it is the religious conviction of the unity which is the best guarantee of the truth of the suppositions of philosophy.
The Ancient Church Calendar Was Founded On Two Suppositions, Both Erroneous, Namely, That The Year Contains 3654 Days, And That 235 Lunations Are Exactly Equal To Nineteen Solar Years.
But these were only suppositions, which seemed important to the younger men but not to Kutuzov.