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The product logarithm Lambert W function plotted in the complex plane from −2 − 2i to 2 + 2i The graph of y = W(x) for real x < 6 and y > −4.The upper branch (blue) with y ≥ −1 is the graph of the function W 0 (principal branch), the lower branch (magenta) with y ≤ −1 is the graph of the function W −1.
Lambert (grape), another name for the German/Italian wine grape Trollinger; Lambert v. California, court case regarding legal notice; Lambert W function, mathematical definition of a product log named after Johann Heinrich Lambert; Lambert the Sheepish Lion, a 1952 Disney animated short film directed by Jack Hannah
The standard Lambert W function expresses exact solutions to what is called ``transcendental algebraic equations of the form:. exp(-c*x) = a_o*(x-r) where a_o, c, and r are real constants.
The range of the Lambert W function, showing all branches. The orange curves are images of either the positive or the negative imaginary axis. The black curves are images of the positive or negative real axis (except for the one that intersects −1, which is the image of part of the negative real axis).
In optics, Lambert's cosine law says that the observed radiant intensity or luminous intensity from an ideal diffusely reflecting surface or ideal diffuse radiator is directly proportional to the cosine of the angle θ between the observer's line of sight and the surface normal; I = I 0 cos θ.
John William Lambert (January 29, 1860 – May 20, 1952) was an American automobile manufacturer pioneer and inventor. He is the inventor of the first practical American gasoline automobile. He is the inventor of the first practical American gasoline automobile.
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Saturable absorption is a property of materials where the absorption of light decreases with increasing light intensity.Most materials show some saturable absorption, but often only at very high optical intensities (close to the optical damage).