法國cromda編寫的新版本MATRICE 2（矩陣和矢量運算單元）。
// ----------------------------------------------------------
// 12-01-02 : MODIFIED Matrice to Matrice2 (Delphi 6)
// All routines now operate on rectangular matrix, except (InvMat and SysLin)
// No more need to use the InitMat procedure (suppressed) :
// - the routines detect automaticaly the DIMENSIONS of matrix and vector
// - error code MatDimNul is generated if zero lines or column in matrix and vector (See DimensionMatrice and DimensionVecteur)
// - error code MatMauvDim is generated if the DIMENSIONS of matrix/vector don t allow valid result
// -
// The result matrix is dimensioned automaticaly
FFTW, a collection of fast C routines to compute the Discrete
Fourier Transform in one or more DIMENSIONS.The fftw/ directory contains the source code for the complex transforms,
and the rfftw/ directory contains the source code for the real transforms.
The inverse of the gradient function. I ve provided versions that work on 1-d vectors, or 2-d or 3-d arrays. In the 1-d case I offer 5 different methods, from cumtrapz, and an integrated cubic spline, plus several finite difference methods.
In higher DIMENSIONS, only a finite difference/linear algebra solution is provided, but it is fully vectorized and fully sparse in its approach. In 2-d and 3-d, if the gradients are inconsistent, then a least squares solution is generated
PRINCIPLE: The UVE algorithm detects and eliminates from a PLS model (including from 1 to A components) those variables that do not carry any relevant information to model Y. The criterion used to trace the un-informative variables is the reliability of the regression coefficients: c_j=mean(b_j)/std(b_j), obtained by jackknifing. The cutoff level, below which c_j is considered to be too small, indicating that the variable j should be removed, is estimated using a matrix of random variables.The predictive power of PLS models built on the retained variables only is evaluated over all 1-a DIMENSIONS =(yielding RMSECVnew).
Quaternions are hypercomplex numbers (that is generalizations of the complex numbers to higher DIMENSIONS than two). For an introduction, refer to the Wikipedia article on Quaternions.
Quaternion toolbox for Matlab® extends Matlab® to allow calculation with matrices of quaternions in almost the same way that one calculates with matrices of complex numbers. This is achieved by defining a private type to represent quaternion matrices and overloadings of many standard Matlab® functions. The toolbox supports real and complex quaternions (that is quaternions with four real or complex components).
We analyze, both analytically and numerically, the effectiveness
of cloaking an infinite cylinder from observations by electromagnetic
waves in three DIMENSIONS. We show that, as truncated approximations
of the ideal permittivity and permeability tensors tend towards
the singular ideal cloaking fields, so that the anisotropy ratio tends to
infinity, the D and B fields blow up near the cloaking surface. Since
the metamaterials used to implement cloaking are based on effective
medium theory, the resulting large variation in D and B will pose a
challenge to the suitability of the field averaged characterization of "
and 碌. We also consider cloaking with and without the SHS (softand-
hard surface) lining, shown in [6] to be theoretically necessary
for cloaking in the cylindrical geometry. We demonstrate numerically
that cloaking is significantly improved by the SHS lining, with both
the far field of the scattered wave significantly reduced and the blow
up of D and B prevented.
The double-density DWT is an improvement upon the critically sampled DWT with important additional properties: (1) It employs one scaling function and two distinct wavelets, which are designed to be offset from one another by one half, (2) The double-density DWT is overcomplete by a factor of two, and (3) It is nearly shift-invariant. In two DIMENSIONS, this transform outperforms the standard DWT in terms of denoising however, there is room for improvement because not all of the wavelets are directional. That is, although the double-density DWT utilizes more wavelets, some lack a dominant spatial orientation, which prevents them from being able to isolate those directions.
WSNs being energy constrained systems, one major problem is to employ the sensor nodes in such a manner so as to ensure maximum coverage and connectivity with minimal or optimal number of nodes and furthermore elongate network lifetime with maximum energy utilization.
The problem addressed has been tackled for 1-D linear array and further extended to 2-DIMENSIONS as stated in the next slides.
