Equation 83 · Part 1 · No Particle Without a Cosigner
Symbol u
What this part means
exactly twice that maximum.
Its job in the formula
u is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol u→Article meaning
Where the article explains it
This is the same trick used to derive Wien’s displacement law: because u\,g(u) rises from zero, passes through a single interior maximum, and falls back to zero, the integral of the absolute value of its derivative over all u is exactly twice that maximum, with no need to evaluate the integral directly.
The passage around this formula
…is the same trick used to derive Wien’s displacement law: because u\,g(u) rises from zero, passes through a single interior maximum, and falls back to zero, the integral of the absolute value of its derivative over all u is exactly twice that maximum, with no need to evaluate the integral directly. Finding the maximum of u\,g(u) = 24\,/(-1) means solving =1 , the same class of transcendental equation that fixes the peak of a Planck spectrum weighted by an extra power of frequency.…
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Sources cited in the article section
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