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12 results for “limit”

Formulae (12)

f'(x) = \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}

Formal definition of the derivative.

\lim_{x\to c}\frac{f(x)}{g(x)} = \lim_{x\to c}\frac{f'(x)}{g'(x)}

Evaluates indeterminate limits 0/0 or ∞/∞.

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

Position and momentum cannot both be known with unlimited precision.

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

Limit on knowing position and momentum together.

R = \frac{V_s - V_f}{I}

Resistor to safely drive an LED.

N_t = N_0 e^{rt}

Unlimited growth of a population over time.

\frac{dN}{dt} = rN\left(1 - \frac{N}{K}\right)

Population growth limited by carrying capacity.

BMI\ prime = \frac{BMI}{25}

Your BMI relative to the upper healthy limit.

L_{Edd} = \frac{4\pi G M m_p c}{\sigma_T}

The maximum steady luminosity before radiation blows a star apart.

M_{Ch} \approx 1.44\,M_\odot

The maximum mass of a stable white dwarf.

XW = V_w\sin\theta

Crosswind component determines whether landing is within aircraft limits.

C_{p,max} = 0.593

Maximum fraction of wind energy a turbine can capture.