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4 Apr 2018: Some initial definitions 41.3. Further geometric examples 61.4. Subgroups and homomorphisms 71.5. ... z C | aRe(z) bIm(z) = c}{}for some a,b,c R with (a,b) 6= (0, 0)16.

20 Dec 2018: Here are some typical examples. A 7 • B 7 • • • C 7 • • D 7 • • E 7 • F 7 • • • O 7 S 7 • • • 7 7 • • •. The symbols of the original message would be ... Here are some typical examples. A 7 1000001 B 7 1000010 C 7

28 Nov 2018: inverse). One can think of G as the collection of symmetries of some object, e G as thespecial “do nothing” symmetry, and a b as the symmetry given by first doing ... Let us discuss some basic properties of this definition. Axiom (G1) says that if

8 Jan 2018: We have an, bn α for some α [a,b]. We claim that α K for each K K. ... 2!for some c (a,b). (ii) Thus. f ′(a)h = f(b) f(a) f ′′(c)h2.

16 Jul 2018: and poorly behaved. We give results showing that some of these issues may. ... A property P of some class F of finitely generated groups is said.

30 Dec 2018: and in L1 to some limit X L1 (,F,P). Weeasily check that A nN Fn, E [X1A] = E [Z1A]. ... If (Yn)nN is s.t. P (Y0 = x) = 1 for some x S (i.e.

11 Feb 2018: 4.2 Some leftovers from old versions of the file of Larry’s questions. ... The resolution proof starts by translating A, B, C and (AB C) into NNF, skolemizing, renaming some of the variables and removing the universal quantifiers.