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12 results for “Momentum”

Formulae (12)

p = mv

Quantity of motion of an object.

J = F\Delta t = \Delta p

Change in momentum from a force over time.

J = F\Delta t = \Delta p

Change in momentum from a force over time.

L = I\omega

Rotational analog of linear momentum.

F = ma = \frac{dp}{dt}

Net force equals mass times acceleration (rate of change of momentum).

\sum p_i = \sum p_f

Total momentum of an isolated system stays constant.

\Delta x \, \Delta p \ge \frac{\hbar}{2}

Position and momentum cannot both be known with unlimited precision.

\sum p_i = \sum p_f

Total momentum is conserved without external forces.

p = \frac{mv}{\sqrt{1 - v^2/c^2}}

Momentum at speeds near light.

\Delta x\,\Delta p \geq \frac{\hbar}{2}

Limit on knowing position and momentum together.

v := \beta v + (1-\beta)\nabla J;\;\; \theta := \theta - \alpha v

Accelerates gradient descent by accumulating a velocity of past gradients.

\theta := \theta - \alpha\,\dfrac{\hat{m}_t}{\sqrt{\hat{v}_t}+\epsilon}

Adaptive optimizer combining momentum and per-parameter learning rates.