enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. List of axioms - Wikipedia

    en.wikipedia.org/wiki/List_of_axioms

    This is a list of axioms as that term is understood in mathematics. In epistemology, the word axiom is understood differently; see axiom and self-evidence. Individual axioms are almost always part of a larger axiomatic system.

  3. Foundations of mathematics - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_mathematics

    At this point, the program of arithmetization of analysis (reduction of mathematical analysis to arithmetic and algebraic operations) advocated by Weierstrass was essentially completed, except for two points. Firstly, a formal definition of real numbers was still lacking.

  4. Occam's razor - Wikipedia

    en.wikipedia.org/wiki/Occam's_razor

    The only assumption is that the environment follows some unknown but computable probability distribution. This theory is a mathematical formalization of Occam's razor. [23] [24] [25] Another technical approach to Occam's razor is ontological parsimony. [26] Parsimony means spareness and is also referred to as the Rule of Simplicity.

  5. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems ; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms ...

  6. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear operators acting upon these spaces and respecting these structures in a suitable sense.

  7. Numerical analysis - Wikipedia

    en.wikipedia.org/wiki/Numerical_analysis

    Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones.

  8. Philosophy of mathematics - Wikipedia

    en.wikipedia.org/wiki/Philosophy_of_mathematics

    Philosophy of mathematics today proceeds along several different lines of inquiry, by philosophers of mathematics, logicians, and mathematicians, and there are many schools of thought on the subject. The schools are addressed separately in the next section, and their assumptions explained.

  9. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in applied mathematics and in the natural sciences (such as physics , biology , earth science , chemistry ) and engineering disciplines (such as computer science , electrical engineering ), as well as in non-physical systems such as the ...