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  1. Wolfram MathWorld: The Web's Most Extensive Mathematics Resource

    Dec 3, 2025 · Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.

  2. Mathematics - from Wolfram MathWorld

    Dec 3, 2025 · Mathematics is a broad-ranging field of study in which the properties and interactions of idealized objects are examined.

  3. About MathWorld

    Dec 3, 2025 · MathWorld is the web's most extensive mathematical resource, provided as a free service to the world's mathematics and internet communities as part of Wolfram Research's commitment to …

  4. Applied Mathematics -- from Wolfram MathWorld

    Dec 3, 2025 · Applied mathematics can be regarded as the use of mathematics combined with specialized field-specific knowledge and tehcniques to solve problems in diverse areas such as …

  5. Gradient -- from Wolfram MathWorld

    Dec 3, 2025 · The term "gradient" has several meanings in mathematics. The simplest is as a synonym for slope. The more general gradient, called simply "the" gradient in vector analysis, is a vector …

  6. Limit -- from Wolfram MathWorld

    The term limit comes about relative to a number of topics from several different branches of mathematics. A sequence x_1,x_2,... of elements in a topological space X is said to have limit x …

  7. Mean -- from Wolfram MathWorld

    Dec 3, 2025 · There are several statistical quantities called means, e.g., harmonic mean, geometric mean, arithmetic-geometric mean, and root-mean-square. When applied to two elements a and b …

  8. Optimization Theory -- from Wolfram MathWorld

    Dec 3, 2025 · A branch of mathematics which encompasses many diverse areas of minimization and optimization. Optimization theory is the more modern term for operations research.

  9. Infinity -- from Wolfram MathWorld

    Dec 3, 2025 · Foundations of Mathematics Set Theory Cardinal Numbers History and Terminology Wolfram Language Commands Infinity Infinity, most often denoted as , is an unbounded quantity that …

  10. Mathematics Prizes -- from Wolfram MathWorld

    Dec 3, 2025 · Several prizes are awarded periodically for outstanding mathematical achievement. There is no Nobel Prize in mathematics, and the most prestigious mathematical award is known as the …