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Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/previous.html16 Oct 2023: Linear Algebra. Linear Algebra. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. Lecture Notes. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. 2014 - 2015. 2013 - 2014. 2012 - 2013. 2010 - 2011. 2009 - 2010. 2008 - -
Department of Pure Mathematics and Mathematical Statistics
https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/previous.html25 Oct 2023: Example sheet 1 (updated 24 Jan, 2013). -
Mich. 2023 SJW Representation Theory — Examples Sheet 2 ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2023-2024/2023ex2.pdf25 Oct 2023: g]| 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2. -
Zimmerman_ModifiedTeukolsky
https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_03_Zimmerman.pdf9 Nov 2023: Leading order in metric evaluate on. Perturbations of quasinormal modes. 24. -
COMPUTING THE CASSELS-TATE PAIRINGON THE 2-SELMER GROUP OF A ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/genus2ctp.pdf14 Sep 2023: Consider the quadraticforms Qj k[u0,. ,un1] defined by. (24) ξ(u0 u1θ. ... 26) NL/k(a) = det. (TrL/k. (aθiβjf ′(θ). )i,j=0,.,n1. )and (24) is satisfied with. -
The Stallings–Swan Theorem
https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2023-StallingsSwanTheorem1 Dec 2023: October 24, 2023. The goal of these notes is to explain the statement and give a proof of thefollowing:. -
MAT 449: Representation theory These lecture notes are in ...
https://www.dpmms.cam.ac.uk/~jcsl5/notes.pdf24 Oct 2023: The following lemma is immediate from the definition. Lemma 6.24. Let V,W be G-representations. ... By Lemma 6.24, UG = HomG(V,W). By Lemma 6.25, 〈χV ,χW〉 = 〈1,χU〉. -
MATHEMATICAL TRIPOS PART II (2022–2023)CODING AND CRYPTOGRAPHY…
https://www.dpmms.cam.ac.uk/study/II/Coding/2022-2023/CC3-20.pdf11 Jan 2023: Colourtransmission requires three times the amount of data than Mariner 9 needed, so a Golay (24,12,8) code wasused. -
Weak Systems of Set Theory related to HOL Thomas ...
https://www.dpmms.cam.ac.uk/~tf/maltapaperredux.pdf4 Jul 2023: Another standard result with the same flavour was provedby Shoenfield [24] and by Novak [17]. ... 1026. [24] Shoenfield, J. R. “A relative consistency proof” Journal of Symbolic Logic 19[1954] pp 21-28. -
Michaelmas Term 2023 T.A. Fisher Galois Theory: Example Sheet ...
https://www.dpmms.cam.ac.uk/study/II/Galois/2023-2024/galois_theory-23-3.pdf7 Nov 2023: Find a monic polynomial over Z ofdegree 4 whose Galois group is V = {id, (12)(34), (13)(24), (14)(23)}.(ii) Let f Z[X] be monic and separable of degree
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