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searching for Transcendental equation 11 found (21 total)

Finite potential well (4,114 words) [view diff] exact match in snippet view article find links to article

once k {\displaystyle k} is solved as a root of the following transcendental equation k a = n π − sin − 1 ⁡ ( k ℏ 2 m V 1 ) − sin − 1 ⁡ ( k ℏ 2 m V 2

Goat grazing problem (4,579 words) [view diff] exact match in snippet view article find links to article

r=x\cdot \tan {({\tfrac {3}{2}}\pi -{\tfrac {x}{r}})}} . That is a transcendental equation that can only be solved by trial-and-error, polynomial expansion

Efimov state (1,371 words) [view diff] exact match in snippet view article find links to article

the unique positive value of s {\displaystyle s} satisfying the transcendental equation − s cosh ⁡ π s 2 + 8 3 sinh ⁡ π s 6 = 0 {\displaystyle -s\cosh

Modified lognormal power-law distribution (986 words) [view diff] exact match in snippet view article find links to article

{\sqrt {\pi }}{2}}.} Numerical methods are required to solve this transcendental equation. However, noting that if K {\displaystyle K} ≈1 then u = 0 gives

Lambert W function (11,591 words) [view diff] case mismatch in snippet view article find links to article

equal to W0(1). Lambert first considered the related Lambert's Transcendental Equation in 1758, which led to an article by Leonhard Euler in 1783 that

Kibble–Zurek mechanism (2,250 words) [view diff] exact match in snippet view article find links to article

correlation times and length (instead of algebraic ones). This serves a transcendental equation which can be solved numerically. The figure shows a comparison

Catenary (6,927 words) [view diff] exact match in snippet view article find links to article

{L^{2}-v^{2}}}={\frac {2a}{H}}\sinh \left({\frac {H}{2a}}\right)\,.} This is a transcendental equation in a and must be solved numerically. Since sinh ⁡ ( x ) / x {\displaystyle

Power law (7,906 words) [view diff] exact match in snippet view article find links to article

x_{\min }} , the maximum likelihood exponent is the solution to the transcendental equation ζ ′ ( α ^ , x min ) ζ ( α ^ , x min ) = − 1 n ∑ i = 1 n ln ⁡ x

Kepler's laws of planetary motion (8,352 words) [view diff] exact match in snippet view article find links to article

planet as a function of time. His method involves the solution of a transcendental equation called Kepler's equation. The procedure for calculating the heliocentric

Langmuir probe (6,618 words) [view diff] exact match in snippet view article find links to article

)}\right)/\left(1-e^{-q_{e}(V_{-}-V_{+})/(kT_{e})}\right)} , a transcendental equation in terms of applied and measured voltages and the unknown Te that

Physics of whistles (12,475 words) [view diff] exact match in snippet view article find links to article

{\frac {fL}{c_{0}}}=2\pi {\text{St}}\end{aligned}}} It is a transcendental equation, where Ac is the cross-sectional area of a cylindrical cavity of