5. A line drawn by a recording instrument, such as a cardiograph. 6. Mathematics a. The point at which a line, or the curve in which a surface, intersects a coordinate plane. b. The sum of the elements of the principal diagonal of a matrix. 7. An engram. v. traced, trac·ing...
the intersection of two planes, or of a plane and a surface. the sum of the elements along the principal diagonal of a square matrix. the geometric locus of an equation. the visible line or lines produced on the screen of a cathode-ray tube by the deflection of the electron beam. ...
the intersection of two planes, or of a plane and a surface. the sum of the elements along the principal diagonal of a square matrix. the geometric locus of an equation. the visible line or lines produced on the screen of a cathode-ray tube by the deflection of the electron beam. Lingu...
The differential of the trace of a scalar function (ff) with derivative (f′f′) applied to a square matrix argument (YY) is dtr(f(Y))=f′(YT):dYdtr(f(Y))=f′(YT):dY The exponential function is its own derivative, so f′=ff′=f and dtr(exp(Y))=exp(YT):dYdtr(exp(...
Let R be a finite ring. The system of linear equations a11x1+⋯+a1nxn=0⋮⋮⋮an1x1+⋯+annxn=0with coefficients aij∈R for i,j≤n, has a nontrivial solution if and only if the columns of the matrix (aij)i,j≤n are right linearly dependent elements of RRn. 3. Trace fun...
What does a smooth embedding mean? What is the purpose of the subspace? Define the term Ordered pair. Let a_1 = \begin{bmatrix} 1\\ 3\\ -1 \end{bmatrix}, a_2 = \begin{bmatrix} 5\\ -8\\ 2 \end{bmatrix},\ and\ b = \begin{bmatrix} 3\\ -5\\ 3 \end{bmatrix}. a...
The result proved there is that a spectral matrix function (of Hermitian or real symmetric argument) (gλgλ is spectral, meaning that it depends only on the eigenvalues of the matrix argument): convex spectral functions can be characterized as symmetric convex functions of the eigenvalues. g...
# 需要导入模块: import numpy [as 别名]# 或者: from numpy importtrace[as 别名]deftracenorm(A):""" Compute thetracenorm of matrix A given by: Tr( sqrt{ A^dagger * A } ) Parameters --- A : numpy array The matrix to compute thetracenorm of. """if_np...
monkey god. At the dead centre of the book there is a reflective foil page. The third section of the book reintroduces the voices of the first section in reverse order. It gradually becomes clear, in spite of this neat symmetry, that the stories are a ‘swampy matrix’ (Patteson 1998,...
Also, this strategy could be used to replace an indefinite matrix A by a symmetric positive definite (A−νB), where ν<λ1<0. 3.2. Solving the saddle point problem Since s≪n, the solution Vk+1 of the saddle point problem (6) can be obtained using the Schur complement via the ...