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The slope field of () = +, showing three of the infinitely many solutions that can be produced by varying the arbitrary constant c.. In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral [Note 1] of a function f is a differentiable function F whose derivative is equal to the original function f.
Sacred Space is a prayer website that was founded in 1999. It was created by two members of the Jesuit order, Alan McGuckian and Peter Scally, and was managed by the Jesuit Communication Centre, Dublin, Ireland, until June 2008. The site is updated daily, guiding users through a ten-minute session of prayer centered on a passage of scripture .
Nonelementary integral. In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary function (i.e. a function constructed from a finite number of quotients of constant, algebraic, exponential, trigonometric, and logarithmic functions using field ...
Product integral. A product integral is any product -based counterpart of the usual sum -based integral of calculus. The product integral was developed by the mathematician Vito Volterra in 1887 to solve systems of linear differential equations. [1] [2]
The "Magnificent Seven" is a term used to collectively describe the world's largest tech companies -- and unsurprisingly, all of them are disrupting AI in some form. Perhaps the most intriguing ...
Morrey–Campanato space. In mathematics, the Morrey–Campanato spaces (named after Charles B. Morrey, Jr. and Sergio Campanato) are Banach spaces which extend the notion of functions of bounded mean oscillation, describing situations where the oscillation of the function in a ball is proportional to some power of the radius other than the ...
Radon–Nikodym theorem. In mathematics, the Radon–Nikodym theorem is a result in measure theory that expresses the relationship between two measures defined on the same measurable space. A measure is a set function that assigns a consistent magnitude to the measurable subsets of a measurable space. Examples of a measure include area and ...
(Note that the value of the expression is independent of the value of n, which is why it does not appear in the integral.) ∫ x x ⋅ ⋅ x ⏟ m d x = ∑ n = 0 m ( − 1 ) n ( n + 1 ) n − 1 n !