Sentence examples for rules of vector from inspiring English sources

The other rules of vector manipulation are subtraction, multiplication by a scalar, scalar multiplication (also known as the dot product or inner product), vector multiplication (also known as the cross product), and differentiation.

Through combining the definition of electric current as the time rate of change of electric charge, a rule of vector multiplication called Lorentz's Law describes the force on a charge moving in a magnetic field.

When two forces act on a point particle, the resulting force, the resultant (also called the net force), can be determined by following the parallelogram rule of vector addition: the addition of two vectors represented by sides of a parallelogram, gives an equivalent resultant vector which is equal in magnitude and direction to the transversal of the parallelogram.

Relative to two different sets of the basis tensors, the constitutive equations are transformed according to the transformation rule of vectors.

Just as in the case of Log rule, magnitude of vector sets the width of partition about the axis.

Of course, mathematical models also used to discuss the transmission rules of other vector-borne disease [13 15] and the references therein.

The design methods of the activation function and readout function, the variation rule of initial vector which is changed by reservoir weight, and complexity of the proposed algorithm are described, respectively.

Then equations for the moments of the response are obtained by extending the classical Itô's rule to vectors of random processes.

Let us expand the local gradient δ i (m) by means of the chain rule for vectors as follows δ i ( m ) = ∂ E ( m ) ∂ v i ( m ) = ∂ z i ( m ) ∂ v i ( m ) ⋅ ∂ v i + 1 ( m ) ∂ z i ( m ) ⋅ ∂ E ( m ) ∂ v i + 1 ( m ) (37).

We describe only the variation of vector annotations in the following rules.

[3] The recursion coefficients ({H_k}) of a matrix refinement equation with dilation factor m satisfy the sum rules of order p if there exist vectors (y_0), (y_1)... y_{p-1}) with (y_0ne 0) such that begin{aligned} sum _{t=0}^{n} left( {begin{array}{c}n tend{array}}right) m^t (-i)^{n-t} y_t D^{n-t}H(frac{2pi s}{m})= delta _{0s}y_n, s=0,1,2ldots m-1, end{aligned} (4... y_{p-1}0...p−1.