right-hand rule

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4 matching pages

1: 1.6 Vectors and Vector-Valued Functions

… ►where

\mathbf{n}

is the unit vector normal to

\mathbf{a}

and

\mathbf{b}

whose direction is determined by the right-hand rule; see Figure 1.6.1. ►

See accompanying text — Figure 1.6.1: Vector notation. Right-hand rule for cross products. Magnify

…

2: 3.4 Differentiation

… ►The integral on the right-hand side can be approximated by the composite trapezoidal rule (3.5.2). …

3: 3.8 Nonlinear Equations

… ►

§3.8(ii) Newton’s Rule

… ► … ►Newton’s rule is given by … ►Another iterative method is Halley’s rule: … ►For moderate or large values of

n

it is not uncommon for the magnitude of the right-hand side of (3.8.14) to be very large compared with unity, signifying that the computation of zeros of polynomials is often an ill-posed problem. …

4: 3.7 Ordinary Differential Equations

… ►If, for example,

\beta_{0}=\beta_{1}=0

, then on moving the contributions of

w(z_{0})

and

w(z_{P})

to the right-hand side of (3.7.13) the resulting system of equations is not tridiagonal, but can readily be made tridiagonal by annihilating the elements of

\mathbf{A}_{P}

that lie below the main diagonal and its two adjacent diagonals. … ►The method consists of a set of rules each of which is equivalent to a truncated Taylor-series expansion, but the rules avoid the need for analytic differentiations of the differential equation. … ►For

w^{\prime}=f(z,w)

the standard fourth-order rule reads … ►For

w^{\prime\prime}=f(z,w,w^{\prime})

the standard fourth-order rule reads …