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  2. Holly Krieger — Cambridge

    https://www.dpmms.cam.ac.uk/~hk439/research.html
    9 May 2023: Juul, N. Looper, M. Manes, B. Thompson, L. Walton), Research Directions in Number Theory, Association for Women in Mathematics Series, Vol. ... Some consequences of Schanuel's conjecture (with C. Cheng, B. Dietel, M.
  3. The Cauchy-Schwarz inequality

    https://www.dpmms.cam.ac.uk/~wtg10/csineq.html
    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.
  4. Recent papers and preprints

    https://www.dpmms.cam.ac.uk/~ik355/pubs.html
    17 May 2024: pdf]. I. Kontoyiannis. "Some information-theoretic computations related to the distribution of prime numbers." In Festschrift in Honor of Jorma Rissanen, (P. ... Mutual information, synergy, and some curious phenomena for simple channels." 2005 IEEE
  5. Lent 2024 LOGIC AND SET THEORY – EXAMPLES 4 ...

    https://www.dpmms.cam.ac.uk/study/II/Logic/2023-2024/sheet4.pdf
    3 Apr 2024: Show further that if f : X Y is a continuous function between Polish spacesand f is injective on a Borel set B X, then f(B) is Borel. ... 14. Prove that a set A (in some Polish space) is analytic if and only if there exist closedsets An1,.,nk (indexed by
  6. 8 Jan 2021: After allT might prove φ(a) for every a in Γ and yet prove φ(b) for some constant bnot in Γ. ... We need some definitions. DEFINITION 4. A theory T is Γn-complete iff whenever φ(x1,.
  7. slide 0 Modular formsand motivesA J Scholl slide 1 ...

    https://www.dpmms.cam.ac.uk/~ajs1005/preprints/banff.pdf
    29 Jan 2010: slide 12. Lemma j = isomn on HM(;)(") Z[ 12k!].(each component of complement is xedby some with "( ) = 1.)[D]ix(pr0#D [ [prk#D)(") 7!y2 2Hk1M (Uky ;k 1)(")'Hk1M ... E fyg)k;k 1)(")Eisenstein symbol (B)ny = 0, some n > 1[n]y 2 Hk1M ((E 0)k;k 1)(")?yoHk1M
  8. Publications | Department of Pure Mathematics and Mathematical…

    https://www.dpmms.cam.ac.uk/publications?page=167
    26 Jun 2024: B Bollobás, I Leader. – Acta Universitatis Carolinae. Mathematica et Physica. ... 1992). 33,. 37. Some (almost) multiplicity-free coset actions. R Lawther. (1992).
  9. The existence of root two

    https://www.dpmms.cam.ac.uk/~wtg10/roottwo.html
    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.
  10. Mich. 2023 ANALYSIS AND TOPOLOGY—EXAMPLES 4 PAR 1. Let ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisandTopology/2023-2024/4.pdf
    24 Nov 2023: 10. Let f: R2 R and (a,b) R2. (a) Suppose that D1f exists and is continuous in some open ball around (a,b), and that. ... b) Suppose instead that D1f exists and is bounded on some open ball around (a,b), and.
  11. Holly Krieger - vita

    https://www.dpmms.cam.ac.uk/~hk439/CV.pdf
    19 Apr 2023: Juul, N. Looper, M. Manes, B. Thompson, L. WaltonTo appear in Research Directions in Number Theory - Women in Numbers 4. ... 23, 5498-5525. 2. 2009 Some Consequences of Schanuel’s Conjecture,with C. Cheng, B.

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