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COMPUTE
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- Some of the most common mathematical functions used in engineering, science and navigation are built from logarithmic and trigonometric functions, which can be approximated by polynomials, so a difference engine can compute many useful tables.
- This generalized Euclidean algorithm can be put to many of the same uses as Euclid's original algorithm in the ring of integers: in any Euclidean domain, one can apply the Euclidean algorithm to compute the greatest common divisor of any two elements.
- A hash table uses a hash function to compute an index, also called a hash code, into an array of buckets or slots, from which the desired value can be found.
- The idea is to start with an initial guess, then to approximate the function by its tangent line, and finally to compute the -intercept of this tangent line.
- There is not one single accepted way of doing this, and different partitions may be easier to compute but less useful for approximation, or better for approximation but more difficult to compute.
- Private set intersection, a cryptographic technique to compute the intersection of two encrypted sets.
- The data must be ordered from smallest to largest to compute quartiles; as such, quartiles are a form of order statistic.
- More formally, #P is the class of function problems of the form "compute f(x)", where f is the number of accepting paths of a nondeterministic Turing machine running in polynomial time.
- Some FPUs can also perform various transcendental functions such as exponential or trigonometric calculations, but the accuracy can be low, so some systems prefer to compute these functions in software.
- In optics, the law is used in ray tracing to compute the angles of incidence or refraction, and in experimental optics to find the refractive index of a material.
- Load balancing can optimize response time and avoid unevenly overloading some compute nodes while other compute nodes are left idle.
- Growth accounting is a procedure used in economics to measure the contribution of different factors to economic growth and to indirectly compute the rate of technological progress, measured as a residual, in an economy.
- In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions over closed curves; it can often be used to compute real integrals and infinite series as well.
- It allows one to compute also, with almost no extra cost, the quotients of a and b by their greatest common divisor.
- The law of sines can be used to compute the remaining sides of a triangle when two angles and a side are known—a technique known as triangulation.
- The Golomb code for this distribution is equivalent to the Huffman code for the same probabilities, if it were possible to compute the Huffman code for the infinite set of source values.
- Examples include iterative numerical methods, such as Newton's method, iterative solutions to the three-body problem, and most of the available algorithms to compute pi (π).
- Based on the work of the German aerodynamics engineer Hans Georg Küssner (known for the Küssner effect), a "Program to Compute a Complex Matrix" was written and used to solve wing flutter problems.
- For example, knot genus is particularly tricky to compute, but can be effective (for instance, in distinguishing mutants).
- Distributed Disaggregated Chassis, an open networking design for a router chassis submitted by AT&T to the Open Compute Project.
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