Search

4 Oct 2001: 1. /b. 1. rather than some other a. i. /b. i. , ... i. are equal. This still leaves a minor problem that some of the b.

11 May 2001: If, however, I can construct some other mathematical object (the model) with those properties for which the theorem is false, then it is clear that my proof cannot work. ... However, in any context in which the lemma applies there has to be some notion

24 Oct 2001: If α B, then α A for some (A, θ) C,and so we let ψ(α) = θ(α). ... 1 2, 3. Suppose now that K = LG for some finite group G.

12 Oct 2001: We discuss descent bym-isogeny for some elliptic curves parametrised by X1(m) and X(m). ... im δm = Hom(Gv,〈rP sQ〉) (34). for some (r : s) P1(Z/mZ).

20 Sep 2001: We know that some numbers are irrational, but we can still describe them, by means of their decimal expansions. ... 2. in some way, consistent with the principle that 0 < a < b implies that a.

24 Nov 2001: In the end, in order to do this one is forced to come up with some non-canonical construction that satisfies the axiom. ... four times, being periodic with period some number (defined to be 2 pi), satisfying the addition law

13 Dec 2001: Then there is some point c in (a,b) such that f'(c) equals (f(b)-f(a))/(b-a). ... Here, I take f to be real valued and defined on some interval of real numbers.