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Formula Library

Searchable knowledge base of formulas — each with its own page, linked tools, and related formulas.

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Arithmetic and weighted meanmean = sum / count · weighted = Σ(x w) / ΣwFind the central value of a list, with optional weights.Math

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Percentage proportionamount = (percent / 100) × whole
Exponentiationbase^exponent = result
Fraction arithmetica/b ± × ÷ c/d → reduced form
Number base conversionRead digits in the source base, then rewrite the same integer in the target base
Wavelength and frequencyf = c / λ, with c ≈ 299,792,458 m/s (speed of light in vacuum)
Percent errorpercent error = |observed − true| / |true| × 100%

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Percentage proportionamount = (percent / 100) × whole
Arithmetic and weighted meanmean = sum / count · weighted = Σ(x w) / Σw
Exponentiationbase^exponent = result
Fraction arithmetica/b ± × ÷ c/d → reduced form
Number base conversionRead digits in the source base, then rewrite the same integer in the target base
Wavelength and frequencyf = c / λ, with c ≈ 299,792,458 m/s (speed of light in vacuum)

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