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This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value
When a variable with an exponent or in a function is covered, the corresponding inverse is applied to the remainder, i.e. = and = . More Magic Triangle image mnemonics in the style of a cheat-sheet for high-school physics – in the SVG file, hover over a symbol for its meaning and formula.
This definition of exponentiation with negative exponents is the only one that allows extending the identity + = to negative exponents (consider the case =). The same definition applies to invertible elements in a multiplicative monoid , that is, an algebraic structure , with an associative multiplication and a multiplicative identity denoted 1 ...
It can be adapted to similar equations e.g. F = ma, v = fλ, E = mcΔT, V = π r 2 h and τ = rF sinθ / - for more examples, see this SVG cheat sheet on Wikimedia Commons. When a variable with an exponent or in a function is covered, the corresponding inverse is applied to the remainder, i.e. r = √ V / π h and θ = arcsin τ ...
Approximating natural exponents (log base e) Artin–Hasse exponential; Bacterial growth; Baker–Campbell–Hausdorff formula; Cell growth; Barometric formula; Beer–Lambert law; Characterizations of the exponential function; Catenary; Compound interest; De Moivre's formula; Derivative of the exponential map; Doléans-Dade exponential ...
3. In computer science, denotes the (unknown) greatest lower bound for the exponent of the computational complexity of matrix multiplication. 4. Written as a function of another function, it is used for comparing the asymptotic growth of two functions. See Big O notation § Related asymptotic notations. 5.
Logarithms and exponentials with the same base cancel each other. This is true because logarithms and exponentials are inverse operations—much like the same way multiplication and division are inverse operations, and addition and subtraction are inverse operations.
To see PDF and PNG files, please see Category:Wikimedia promotion. Work derivate and translated from Image:Cheatsheet-en.pdf or Image:Cheatsheet-en.png. Note. PNG files are just for preview, and should soon be deleted. PDF files were the former ones (what do we do with them now ?) SVG files are the new ones.