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  2. Mathematical psychology - Wikipedia

    en.wikipedia.org/wiki/Mathematical_psychology

    Mathematical psychology is an approach to psychological research that is based on mathematical modeling of perceptual, thought, cognitive and motor processes, and on the establishment of law-like rules that relate quantifiable stimulus characteristics with quantifiable behavior (in practice often constituted by task performance).

  3. Property (mathematics) - Wikipedia

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

    In mathematics, a property is any characteristic that applies to a given set. [1] Rigorously, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or, equivalently, as the subset of X for which p holds; i.e. the set { x | p ( x ) = true}; p is its ...

  4. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics that include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...

  5. Deductive reasoning - Wikipedia

    en.wikipedia.org/wiki/Deductive_reasoning

    Deductive reasoning is studied in logic, psychology, and the cognitive sciences. [3] [1] Some theorists emphasize in their definition the difference between these fields. On this view, psychology studies deductive reasoning as an empirical mental process, i.e. what happens when humans engage in reasoning.

  6. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 103, the logarithm base of 1000 is 3, or log10(1000) = 3.

  7. Ergodicity - Wikipedia

    en.wikipedia.org/wiki/Ergodicity

    Ergodicity is a property of the system; it is a statement that the system cannot be reduced or factored into smaller components. Ergodic theory is the study of systems possessing ergodicity. Ergodic systems occur in a broad range of systems in physics and in geometry.

  8. Conservation (psychology) - Wikipedia

    en.wikipedia.org/wiki/Conservation_(psychology)

    Conservation refers to a logical thinking ability that allows a person to determine that a certain quantity will remain the same despite adjustment of the container, shape, or apparent size, according to the psychologist Jean Piaget.

  9. Mental calculation - Wikipedia

    en.wikipedia.org/wiki/Mental_calculation

    Mental calculation has long been a component of mathematical education. Mental calculation consists of arithmetical calculations using only the human brain, with no help from any supplies (such as pencil and paper) or devices such as a calculator. People may use mental calculation when computing tools are not available, when it is faster than ...