Purpose ‐ This paper attempts to establish the general formula for computing the inverse of grey matrix, and the results are applied to solve grey linear programming. The inverse of a grey matrix and grey linear programming plays an important role in establishing a grey computational system. ...
Of course, it is advantageous to prove the nonsingularity of the matrix T of form (1.1) before considering the problem of finding its inverse. A very efficient and reliable algorithm for this purpose is the DETGTRI algorithm given in [3]. To the best of our knowledge, the first complete...
A general approach for constructing a recovery matrix from arbitrary perturbation matrix is proposed, which can minimize the variance of unbiased estimate answers. • Perturbation and reconstruction algorithms for boolean and categorical attributes are developed, which can be extended to numerical attribute...
the gravity anomaly, the deflection of the vertical are defined based on the relations among the gravity potential, the normal gravity potential and the disturbing potential. With the sphere as the boundary surface, based on the solution of the external boundary value problem for the disturbing pot...
Library of General Functions (LGF) for SIMATIC S7-1200/S7-1500 STEP 7 Basic/Professional V16 (TIA PORTAL) https://support.industry.siemens.com/cs/ww/en/view/109479728 Siemens Industry Online Support Legal information Legal information Use of application examples Application examples illustr...
For inversed polarity, either the channel output polarity should be inversed or the PWM1 output mode should be used. The first scenario with a default channel-output polarity is taken as example below in Figure 19. The outputted waveform is characterized by two parameters: the pulse and the...
via definition, wherein \(\text {Var}(x_2y)\) is the scalar variance of \(x_2\) times y. Using the notation of Table 2, the explicit inversion formula for (\(2 \times 2\))-matrices implies $$\begin{aligned} {{\textbf {D}}}&=\frac{1}{n}\left[ E\left( {{\textbf {x}...
Variations The Card of a Thousand & One Faces (Randy Wakeman, 1989)The Wild Card (John Hostler, 2000)Royally Wild (John Hostler, 2016)Also published here The Card of a Thousand Faces (Randy Wakeman, 1989)1985 Formula One Close-Up 62 ...
For inverse kinematic problems, there are three main categories of algorithms: iterative algorithm, numerical and geometric methods, and soft computing methods. The Jacobian matrix pseudoinverse method is proposed in [1], and it is the most commonly used method of robot inverse kinematics. The ...
If ϕ∈SL(n)ϕ∈SL(n) , then we write ϕtϕt for the transpose of ϕϕ , ϕ−1ϕ−1 for the inverse of ϕϕ and ϕ−tϕ−t for the inverse of the transpose of ϕϕ . From the definitions of the support function, radial function and polar body, ...