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10 results for “direction”

Formulae (8)

\hat{\mathbf{v}} = \frac{\mathbf{v}}{\|\mathbf{v}\|}

Vector of length one in the same direction.

P = \frac{F_1}{A_1} = \frac{F_2}{A_2}

Pressure applied to a confined fluid transmits equally in all directions.

\theta := \theta - \alpha\,\nabla_\theta J(\theta)

Iteratively moves parameters in the direction that most reduces the loss.

\cos\theta = \dfrac{\mathbf{a}\cdot\mathbf{b}}{\lVert\mathbf{a}\rVert\,\lVert\mathbf{b}\rVert}

Measures the angle between two vectors; 1 means identical direction.

\mathbf{C} = \tfrac{1}{n}\mathbf{X}^\top\mathbf{X},\;\; \mathbf{C}\mathbf{v}=\lambda\mathbf{v}

Finds directions of maximum variance via eigenvectors of the covariance matrix.

EIRP_{dBW} = P_t + G_t - L_c

Apparent power a transmitter would need if it radiated equally in all directions; combines transmit power, antenna gain and cable loss.

\alpha = \arctan\frac{\Delta E}{\Delta N}

Direction of a line from the change in easting and northing.

G_{dBi} = 10\log_{10} G

Directional gain of an antenna relative to an isotropic radiator, in decibels.

x% of y = y% of x. When one direction is hard, flip it! This works because (x/100)×y = (y/100)×x.

Round each number to a friendly value, compute, then note the direction of error for a quick sanity check.