s - the scalar valuescaleAddpublic final void scaleAdd(double s, GVector v1, GVector v2)Sets the value of this vector to the scalar multiplication by s of vector v1 plus vector v2 (this = s*v1 + v2). Parameters: s - the scalar value v1 - the vector to be multiplied v2 - th...
Summary of Chapter 6 The system (u1, u2, u3) is orthogonal if ei * ej = δij. --- 7. Cartesian Tensors 7.1 Coordinate transformations A matrix with this property, that its inverse is equal to its transpose, is said to be orthogonal。 So far we have only considered a two-dimensional...
The work done in any given direction will be given by the component of the force in that direction multiplied by the distance moved. Hence we find: W=∫CF⋅dr where C is the path along which the object moves and r describes its position vector. To calculate this value we need to be...
that can be added and subtracted as well as multiplied by constants. Vectors are often represented geometrically by arrows. These arrows are added and subtracted by the familiar triangle rules; multiplication by constants is represented by stretching or shrinking the arrows, reversing the orientation ...
the transpose of a Hadamard matrix is its inverse. The codeword received over the wires can thus be multiplied by the transpose of the Hadamard matrix used to perform the encoding to recover the original input bits. Note that the pre-scalers are not present in the decoding matrix—this is...
An orthogonal matrix multiplied with its transpose is equal to the identity matrix. Also The determinant of an orthogonal matrix has value +1 or -1. 1 or -1 Solving linear equation containing orthogonal matrix in other words Hadamard Matrix ...
(x,y) given the spike data of the cell. This is given by the likelihood that the cell’s spikes were produced by a field lying at this location (the term\(P(D|{\mathrm {field}}_{x,y})\), multiplied by the prior probability that the field lies at this location (the term\(P(...
A coefficient by which the state function is multiplied. Return type Union[complex,ParameterExpression] Return the unique instance id. Return type int is_measurement Whether the StateFn object is a measurement Operator. Return type bool parameters ...
(2)0v=0The scalar zero multiplied by any vector yields the zero vector.(3)−1v=−vThe scalar -1 multiplied by any vector yields the additive inverse of that vector.(4)Ifav=0,thenIf a scalar multiplication yields the zero vector,a=0orv=0then either the scalar is zero, or the ...
What this means is that linear combinations of vectors can be added together (such as v1 + v2) or can be multiplied by a scalar (such as cv1), resulting in new vectors that bear simple relationships to the old. To illustrate, let a1=[123];a2=[032];a3=[142]k1=2;k2=3;k3=1;...