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17 Nov 2002: It means that every element of A is an element of B. ... To prove that, we need to establish the following:. every element of the empty set is an element of A. ().

8 May 2002: Show that at every turning point on theaverage cost function, average cost and marginal cost are equal. ... b) Solve equations (1)-(8) for the equilibrium values of Y and r.

10 May 2002: The only restriction would be that every a in A must have at least one arrow from it to an element of B. ... to B, when you continue your journey to C you end up at the same point.

12 Aug 2002: Making use of every B-scan ensures the maximum possibleacquisition rate, though this is not always desirable. ... Thesemeasurements are at different rates: approximately every 40ms for the images, and 30ms forthe positions.

12 Mar 2002: S t B t t T( ) = ( ) ( ) ( )exp exp expi i Φ 2where Φ is the overall phase (= φ φsig rx ) and B is the amplitude. ... Re cos sinS B A Dω ω ω( )[ ] = ( ) ( )[ ]Φ ΦIn general this is a mixture of the absorption and dispersion lineshape.

10 Sep 2002: Next, I claim that [b] is at least as big as every [a. ... Finally, if [b] is at least as big as every [a.

13 Nov 2002: ii) Every x A is also an element of B C.(iii) If it is not raining today then no pigs can fly. ... a1,b1) (a2,b2). (ak,bk). 12. Let A1,A2,. be sets such that for every positive integer n we have A1.

25 Apr 2002: bx c = 0. But this means that every time we write down a polynomial in x, we can replace x. ... 2. -cx and so on. That is, every polynomial expression in x is equal to some quadratic function of x.

23 Jul 2002: Fouriertransformation of S(t) gives the spectrum S(ω):. S B A Dω ω ω( ) = ( ) ( )[ ] ( )i iexp Φ [1]. ... Re cos sinS B A Dω ω ω( )[ ] = ( ) ( )[ ]Φ ΦIn general this is a mixture of the absorption and dispersion lineshape.

12 Sep 2002: as a sum of two numbers in B. However, every time a number m can be written both as. ... asserts that every reasonably large set of numbers (for the mathematician, this means.