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5 Jun 2020: The Markovprocess is called f-regular if there exists r0 > 0 such that GB(x,f; r0) < for every xand every B B satisfying ψ(B) > 0. ... x X and every B B satisfying ψ(B) > 0, there is a constantcB < such that,.

4 Nov 2020: Plasma cells are derived from a particular type of immune cell known as a B cell. ... Every B cell has an antibody on its surface that is unique to that cell.

4 Feb 2020: a) If f is increasing, then f ′(x) 0 for every x (a,b).(b) If f ′(x) 0 for every x (a,b), then f is increasing.(c) If f ... is strictly increasing, then f ′(x) > 0 for every x (a,b).(d) If f ′(x) > 0 for every x (a,b), then f is strictly

6 May 2020: The simplex algorithm in theory. Theorem (b.f.s. are extreme points). Suppose that every set of m columns of A is linearly independent.Let x be a b.f.s. ... where c Rn, b Rm and A is a m n matrix.I Assume assume that n > m and that every set of m columns.

13 Oct 2020: 13) a boy trains every dog. vv ((λP.some′(boy′,P) :. (B ( C) ( Cλz.λv.train′(v,z) :A ( (B ( C). ... that. (53) Premises from the TP in (52):a. λF.every′(boy′,F) : X((e1 ( tX) ( tX)b.

2 Oct 2020: Eh. Or starting with a is zero and every time it goes around then a increases by one. ... But before that happens, b is set to a plus eleven and then comes the next for-loop which then tests every age between a and b, which is then the

16 Nov 2020: Show that if λ is an eigenvalue, then |λ| 1. (b) Suppose that P is irreducible and for every x consider the set T(x) = {t : P t(x, x) > 0}. ... π(x)Ea[τ]. (b) Consider a finite, irreducible and aperiodic Markov chain.

8 Jun 2020: every G 3 G h B factors uniquelythrough f, f is an isomorphism. ... iI of objects of (A G) indexed by a set I, such that every B ob (A G) has amorphism Bi B in (A G) for some i I.

8 Jan 2020: b) A subset X of G is called separable in G if for every g G r X there exists afinite group Q and a group homomorphism f : G Q such ... c) Let F be a free group on two generators a and b.

22 Oct 2020: One major difficulty in verifying the axioms is to show that for Shimura varieties with Iwahorilevel structure, the minimal Kottwitz-Rapoport stratum intersects every connected componentof it. ... Our first major step is to show that every point in X({µ}