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An early success was Daniel Bobrow's program STUDENT, which could solve high school algebra word problems. A semantic net represents concepts (e.g. "house", "door") as nodes and relations among concepts (e.g. "has-a") as links between the nodes.
Archimedes's cattle problem. Archimedes's cattle problem (or the problema bovinum or problema Archimedis) is a problem in Diophantine analysis, the study of polynomial equations with integer solutions. Attributed to Archimedes, the problem involves computing the number of cattle in a herd of the sun god from a given set of restrictions.
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, [1] algebra, [2] geometry, [1] and analysis, [3 ...
A bar model used to solve an addition problem. This pictorial approach is typically used as a problem-solving tool in Singapore math. Singapore math teaches students mathematical concepts in a three-step learning process: concrete, pictorial, and abstract. This learning process was based on the work of an American psychologist, Jerome Bruner.
MIDACO – a software package for numerical optimization based on evolutionary computing. MINTO – integer programming solver using branch and bound algorithm; freeware for personal use. MOSEK – a large scale optimization software. Solves linear, quadratic, conic and convex nonlinear, continuous and integer optimization.
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
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