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4 Jun 2021: For example, the entry with m = 18shows that Z(17, 1) contains a curve isomorphic to y2 = t2 10t 1. ... is only needed for the first entry, where the relevant ellipticcurves are the ones defined in the introduction.

5 Jun 2020: To encode each sub-block, the encodersearches all 2R(D) entries of the codebook, in order to find the one which has the smallestdistortion with respect to that sub-block. ... Nevertheless, because of the vastly different memory requirements, in

15 Oct 2021: We can define the dual basisB := {ei}i=1,.n uniquely by the requirement. ... V. If we have one negative entry and the rest positive, or one positive and the rest negative,we say the metric has Lorentzian signature.

6 Jul 2004: The several requirements added are natural simplifying assumptions.They do not really have much proof theoretic justification as things stand. ... For the moment it is best to regard these requirements as being justified by themodels which we are able to

16 Oct 2011: However for n > 3 their entries are only determined up to the addition ofquadrics vanishing on C. ... We checked by direct calculation that all the entries of J5belong to the homogeneous ideal I(Cφ) = (p0,.

26 Mar 2021: t2). This last requirement is needed, since otherwise we could replace Ad and Bd by λdAd andλdBd where λ is a constant. ... Sincecmn = bn, the last row consists of 0’s except for the final entry which is 1.

31 Jan 2024: the set of invertible nn matrices with entries in Z/p,the integers modulo p, a prime number.

5 Jun 2020: E(t) := E[ log CQbp(Wt)],. where p denotes the parameter vector with all entries equal to λ/n. ... Observe that log-concavity of Q# is a weaker requirement thanlog-concavity of Q.

1 Oct 2009: Its use is simple: just read it. It is complemented by more formal booklets produced by theBoard of Graduate Studies (“Code of Practice - Graduate research degrees and certificatesof postgraduate studies”), The ... Having a mentor (in other

20 Feb 2013: In this case, defineai = (aiτ )τHom(E,C) by the requirement that (a. ... q(n1)/2(i1)v. τ. ι1τ($v)λτ,n1iαw(i)($v). ])nj=1. ,. the jth entry having valuationji=1. (val(αw(i)($v)) 1/ev.