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1984: Frank S. Budnick, Finite Mathematics with Applications in Management and the Social Sciences, McGraw Hill 2011: Rupinder Sekhon, Applied Finite Mathematics , Open Textbook Library 2015: Chris P. Tsokos & Rebecca D. Wooten, The Joy of Finite Mathematics , Academic Press
Finite Mathematics and Its Applications (with Gary M. Haggard, Random House, 1988; 2nd ed., McGraw Hill, 1994) Introduction to Calculus with Applications (with Gary M. Haggard, McGraw Hill, 1990) An Introduction to Differential Equations and Their Applications (McGraw Hill, 1994; Dover, 2006)
The practical application of FEM is known as finite element analysis (FEA). FEA, as applied in engineering , is a computational tool for performing engineering analysis . It includes the use of mesh generation techniques for dividing a complex problem into smaller elements, as well as the use of software coded with a FEM algorithm.
Finite-state machines are a class of automata studied in automata theory and the theory of computation. In computer science, finite-state machines are widely used in modeling of application behavior (control theory), design of hardware digital systems, software engineering, compilers, network protocols, and computational linguistics.
Set theory is the branch of mathematics that studies sets, which are collections of objects, such as {blue, white, red} or the (infinite) set of all prime numbers. Partially ordered sets and sets with other relations have applications in several areas. In discrete mathematics, countable sets (including finite sets) are the main focus
For example, consider the ordinary differential equation ′ = + The Euler method for solving this equation uses the finite difference quotient (+) ′ to approximate the differential equation by first substituting it for u'(x) then applying a little algebra (multiplying both sides by h, and then adding u(x) to both sides) to get (+) + (() +).
Calculus on finite weighted graphs is used in a wide range of applications from different fields such as image processing, machine learning, and network analysis. A non-exhaustive list of tasks in which finite weighted graphs have been employed is: image denoising [2] [3] image segmentation [4] image inpainting [2] [5] tomographic ...
Construct a finite nilpotent loop with no finite basis for its laws. Proposed: by M. R. Vaughan-Lee in the Kourovka Notebook of Unsolved Problems in Group Theory; Comment: There is a finite loop with no finite basis for its laws (Vaughan-Lee, 1979) but it is not nilpotent.
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