WOW.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Word problem (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Word_problem_(mathematics)

   Word problem (mathematics) In computational mathematics, a word problem is the problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

3. Lie product formula - Wikipedia

   en.wikipedia.org/wiki/Lie_product_formula

   In mathematics, the Lie product formula, named for Sophus Lie (1875), but also widely called the Trotter product formula, [1] named after Hale Trotter, states that for arbitrary m × m real or complex matrices A and B, [2] where eA denotes the matrix exponential of A. The Lie–Trotter product formula [3] and the Trotter–Kato theorem [4 ...

4. Hyperbolic functions - Wikipedia

   en.wikipedia.org/wiki/Hyperbolic_functions

   Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. They also occur in the solutions of many linear differential equations (such as the equation defining a catenary ), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's equations are important in many areas of physics, including ...

5. Generic-case complexity - Wikipedia

   en.wikipedia.org/wiki/Generic-case_complexity

   Generic-case complexity is a subfield of computational complexity theory that studies the complexity of computational problems on "most inputs".. Generic-case complexity is a way of measuring the complexity of a computational problem by neglecting a small set of unrepresentative inputs and considering worst-case complexity on the rest.

6. Exponential field - Wikipedia

   en.wikipedia.org/wiki/Exponential_field

   In mathematics, an exponential field is a field with a further unary operation that is a homomorphism from the field's additive group to its multiplicative group. This generalizes the usual idea of exponentiation on the real numbers, where the base is a chosen positive real number.

7. Hamiltonian path problem - Wikipedia

   en.wikipedia.org/wiki/Hamiltonian_path_problem

   The Hamiltonian path problem is a topic discussed in the fields of complexity theory and graph theory. It decides if a directed or undirected graph, G, contains a Hamiltonian path, a path that visits every vertex in the graph exactly once. The problem may specify the start and end of the path, in which case the starting vertex s and ending ...

8. Halting problem - Wikipedia

   en.wikipedia.org/wiki/Halting_problem

   The halting problem is a decision problem about properties of computer programs on a fixed Turing-complete model of computation, i.e., all programs that can be written in some given programming language that is general enough to be equivalent to a Turing machine. The problem is to determine, given a program and an input to the program, whether ...

9. Simon's problem - Wikipedia

   en.wikipedia.org/wiki/Simon's_problem

   Simon's problem. In computational complexity theory and quantum computing, Simon's problem is a computational problem that is proven to be solved exponentially faster on a quantum computer than on a classical (that is, traditional) computer. The quantum algorithm solving Simon's problem, usually called Simon's algorithm, served as the ...