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In computational complexity theory, the complexity class EXPTIME (sometimes called EXP or DEXPTIME) is the set of all decision problems that are solvable by a deterministic Turing machine in exponential time, i.e., in O(2 p(n)) time, where p(n) is a polynomial function of n.
The following tables list the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations on a multitape Turing machine. [1] See big O notation for an explanation of the notation used.
The mathematical constant e can be represented in a variety of ways as a real number.Since e is an irrational number (see proof that e is irrational), it cannot be represented as the quotient of two integers, but it can be represented as a continued fraction.
The particular generating function, if any, that is most useful in a given context will depend upon the nature of the sequence and the details of the problem being addressed. Generating functions are sometimes called generating series, [1] in that a series of terms can be said to be the generator of its sequence of term coefficients.
In computational complexity theory, the complexity class 2-EXPTIME (sometimes called 2-EXP) is the set of all decision problems solvable by a deterministic Turing machine in O(2 2 p(n)) time, where p(n) is a polynomial function of n.
exp is a fixed point of derivative as a linear operator on function space. If a variable's growth or decay rate is proportional to its size—as is the case in unlimited population growth (see Malthusian catastrophe ), continuously compounded interest , or radioactive decay —then the variable can be written as a constant times an exponential ...
This is a list of open-source software to be used for high-order mathematical calculations. This software has played an important role in the field of mathematics. [1] Open-source software in mathematics has become pivotal in education because of the high cost of textbooks. [2]
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. It can be used in conjunction with other tools for evaluating sums.