| OSWALD VEBLEN - 1910
...into lines by equations of the form (1) B = a 3l x 1 where the determinant A of the coefficients a {j **is different from zero. Conversely, every transformation...corollary we have COROLLARY 1. The transformation** pu[~x^ pu! 2 ~ x 2 , pu^== x 3 in a plane represents a polarity in which to every side of the triangle... | |
| Algebra - 1965 - 396 pages
...elements xv . . . , Xrt, satisfying the conditions p^j-...-p^.o, *&-..*n *0. Then g(E, B, F, p) > o + 1. **The proof of this theorem is completely analogous to the proof of Theorem** 4 of the note [1]. 5. Universal principal fiber spaces of genus n. Suppose that G is a topological... | |
| Mathematics - 1969 - 258 pages
...then (1 - \A) 1 is an integral operator- function of order not greater than r and of minimal type. **The proof of this theorem is completely analogous to the proof of Theorem** 2.1. In this connection it is necessary to consider only that for the conditions of the theorem det(l... | |
| Phan Dình Diêu - Mathematics - 1974 - 228 pages
...and T'separated. 4.2.1. If a locally convex space 3DÎ is enumerably normable, then it is metrizable. **The proof of this theorem is completely analogous to the proof of** the corresponding theorem in classical functional analysis (see, for example, [7], Chapter XI). Now... | |
| Patrizia Gianni - Computers - 1989 - 543 pages
...Euler product. Theorem 4 Co, = flp(1 _ ¿)1, where the product is taken over all prime ideals P in O¿. **The proof of this theorem is completely analogous to the proof of Theorem** 2. Finally if we define ¿t for O¿ as we did for Z, we get the following inversion theorem. Theorem... | |
| Differential equations - 1966 - 295 pages
...or 6* ; f. Im A, (a) = 0 only for a = a. or only for a = h., and at that point A'Дff) = -tan1¿°. **The proof of this theorem is completely analogous to the proof of Theorem** 5. After this the prohlem of ohtaining asymptotics for E(x, y) in a neighhorhood of a special direction... | |
| American Mathematical Society - 1992 - 373 pages
...Incapacity (a> n - 2m) is as small as we please, so that u turns out to be continuous on the remaining set. **The proof of this theorem is completely analogous to the proof of** Luzin's Theorem and proceeds by means of Lemma 1.8. (3.1) (G)' where C does not depend on u. This inequality... | |
| Mathematical analysis - 1966 - 284 pages
...the classes KR or К(ш). Then the operator Jc0 is bounded from below in ij^m^ and s(£0)=[0, т). **The proof of this theorem is completely analogous to the proof of** Theorems 3.1 and 3.3 and teduces to a reference to Theorems 1.1, 1.2, 2.2 and 2.3. We now have an analog... | |
| Guan-hou Zhang - Mathematics - 1993 - 375 pages
...the above hypothesis, there exists a curve L tending continuously to oo in region Dp , such that lim **The proof of this theorem is completely analogous to the proof of Theorem** 4. 14 in the sequel. §4.2. The Denjoy Conjecture 4.2.1. The Denjoy Conjecture. In 1907, A Denjoy made... | |
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