aWhen to Use: The most appropriate time for this is after discussing the statement of the theorem, but before a formal proof is covered. This is also an ideal time for the student to use geometry software to explore the theorem as well. 何时使用: 最适当的时期为此是在谈论定理的声明以后,...
Or one could replace xdiff with the length of s, as in scD. The following theorem shows that the versions turn out to be equivalent to scℓ and to each other. The proof is a straightforward algebraic manipulation and is left for the appendix. Theorem 2 The score functions scℓ, scA...
aderive the minimum value of the expression()in the interval(),which was used in the proof of Theorem 获得表示的最小值()在间隔时间(),用于定理证明[translate] a我非常喜欢这张照片 正在翻译,请等待... [translate] a迷路了不想回来 Became lost has not wanted to come back[translate] ...
Generally, proving the known result and finding out a new unknown result are vastly different things. A lot of textbooks just give you the theorem and provide with the simplest or shortest proof available. While such proofs may be shorter and easier to comprehend, they throw away what I think...
for f and :f is clear (cf. the proof of the previous theorem). For the lower bound on the size of 1-b.p., note that essentially the same argument as in the proof of Theorem 3.3 shows that f is s ? 1 -mixed. Indeed, if jI j < s =4 then for every particular j , there ...
Kleinberg [3] showed that every proof of Ramsey's theorem must use the axiom of choice, although rather weak forms of this axiom suffice. J. Dawson has raised the question of the position of Ramsey's theorem in the hierarchy of weak axioms of choice. In this paper, we prove or refute...
摘要原文 Recently, it has been shown that a connected graph $\Gamma$ with $d+1$distinct eigenvalues and odd-girth $2d+1$ is distance-regular. The proof ofthis result was based on the spectral excess theorem. In this note we presentan alternative and more direct proof which does not rely...
This article first was brief analyzes has rolled the theorem of mean in the differential calculus status, then in analyzed the Lagrange theorem of mean in the proof mentality foundation, has given the Lagrange theorem of mean another extremely useful proof, then drew out this article the c [tra...
Theoretical Models and the Analyst's Neutrality1 This is a slightly revised version of a paper read as Invited Address, Division of Psychoanalysis, American Psychological Association, Los Angeles, California, August 25, 1985.* I am most grateful for the insightful comments, suggestions, and ...
The proof of this fact is constructive; given any k -tape machine, it is shown how to design an equivalent two-tape machine that operates within the stated time bounds. In addition to being interesting in its own right, the trade-off relation between number of tapes and speed of ...