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7 Oct 2011: Matrixes and vectorsA Matrixai =[A]i Row i of Aaij =[A]ij Element (i, j) of Ab Vectorbi Element i of bI Identity matrix0 Vector/matrix with all entries 01 ... matrix with all entries 1|| Determinant‖‖ NormTr() TraceA1 InverseAT TransposeAT Inverse

16 Feb 2008: This example presents the target sentence as asequence of phrases, but there is no requirement that the target wordsgenerated by a source word should appear as neighbors in the targetsentence. ... The precisionof each of these is plotted versus its

22 Nov 2006: Although, for many tasks, enu-merating all possible sub-strings yields a very high di-mensional feature-space, this feature-space is sparse withnon-zero entries being calculated using efficient dynamic. ... Viterbi de-coding yields a single sequence (the

17 Nov 2021: D(can)w Dictionary entry containing canonical pronunciations (i.e. phone sequences) for a.

16 Aug 2007: In thepresent work, we avoid this requirement while producingdetailed results. Pilet et al. ... The main difficultywith applying photometric stereo to deforming objects liesin the requirement of changing the light source direction foreach captured frame,

22 May 2001: plane. Degrees of Freedom of". A generic matrix has nine degrees of freedom(dof), one for each of its entries. ... cameras$. and$. , denoted as and , respectively, each correspondence provides, when substituted in (3.5), one equation on the entries of. ".

20 Feb 2018: generalisation properties for generating unseen inputs. Section 3 describes BAGEL’s. meaning representation, which satisfies both requirements. ... intractable for non-trivial domains. Since a key requirement of this work was to develop.

13 Mar 2018: Existing video models [7, 10, 21, 9] donot satisfy one or more of these requirements as discussedin Sec.2. ... 0.9 along the diagonals and equalvalues along the non-diagonal elements such that the sum ofall entries is unity.

20 Feb 2018: the dialogue and the attribute values (often called slots) thatdetermine the user’s requirements. ... eachdiscrete codebook entry b̂i.

9 Aug 2005: Both their large size (and consequent memory requirements),and the training set sparseness associated with large numbers of parameters, limits n to 2, 3 or perhaps4. ... from the symmetry requirement, we may write:. Probability in of any event occurring