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  2. Ramanujan's master theorem - Wikipedia

    en.wikipedia.org/wiki/Ramanujan's_master_theorem

    If the complexity index is positive, select the formula from table 2 for positive complexity index, and compute the integral value as a series expansion with this formula for all possible choices of the free summation indices. Select the lowest complexity index, convergent series expansion, adding series that converge in the same region.

  3. Integral transform - Wikipedia

    en.wikipedia.org/wiki/Integral_transform

    In mathematics, an integral transform is a type of transform that maps a function from its original function space into another function space via integration, where some of the properties of the original function might be more easily characterized and manipulated than in the original function space.

  4. Simpson's rule - Wikipedia

    en.wikipedia.org/wiki/Simpson's_rule

    The formula above is obtained by combining the composite Simpson's 1/3 rule with the one consisting of using Simpson's 3/8 rule in the extreme subintervals and Simpson's 1/3 rule in the remaining subintervals. The result is then obtained by taking the mean of the two formulas.

  5. Transformation (function) - Wikipedia

    en.wikipedia.org/wiki/Transformation_(function)

    In mathematics, a transformation, transform, or self-map [1] is a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X. [ 2 ] [ 3 ] [ 4 ] Examples include linear transformations of vector spaces and geometric transformations , which include projective transformations , affine transformations , and ...

  6. Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Fourier_transform

    By applying the Fourier transform and using these formulas, some ordinary differential equations can be transformed into algebraic equations, which are much easier to solve. These formulas also give rise to the rule of thumb "f(x) is smooth if and only if f̂(ξ) quickly falls to 0 for | ξ | → ∞."

  7. Keyboard shortcut - Wikipedia

    en.wikipedia.org/wiki/Keyboard_shortcut

    Composite of two Macintosh Finder menus with keyboard shortcuts specified in the right column In computing , a keyboard shortcut (also hotkey / hot key or key binding ) [ 1 ] is a software -based assignment of an action to one or more keys on a computer keyboard.

  8. Primitive recursive function - Wikipedia

    en.wikipedia.org/wiki/Primitive_recursive_function

    An example of a primitive recursive programming language is one that contains basic arithmetic operators (e.g. + and −, or ADD and SUBTRACT), conditionals and comparison (IF-THEN, EQUALS, LESS-THAN), and bounded loops, such as the basic for loop, where there is a known or calculable upper bound to all loops (FOR i FROM 1 TO n, with neither i ...

  9. Iterator - Wikipedia

    en.wikipedia.org/wiki/Iterator

    Specifically, the for loop will call a value's into_iter() method, which returns an iterator that in turn yields the elements to the loop. The for loop (or indeed, any method that consumes the iterator), proceeds until the next() method returns a None value (iterations yielding elements return a Some(T) value, where T is the element type).