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2. Measure (mathematics) - Wikipedia

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

   Measure (mathematics) Informally, a measure has the property of being monotone in the sense that if is a subset of the measure of is less than or equal to the measure of Furthermore, the measure of the empty set is required to be 0. A simple example is a volume (how big an object occupies a space) as a measure.

3. Model theory - Wikipedia

   en.wikipedia.org/wiki/Model_theory

   Model theory. In mathematical logic, model theory is the study of the relationship between formal theories (a collection of sentences in a formal language expressing statements about a mathematical structure ), and their models (those structures in which the statements of the theory hold). [1] The aspects investigated include the number and ...

4. Mathematical model - Wikipedia

   en.wikipedia.org/wiki/Mathematical_model

   A mathematical model is an abstract description of a concrete system using mathematical concepts and language. 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 ...

5. Manipulative (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Manipulative_(mathematics...

   Manipulative (mathematics education) In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts through developmentally appropriate hands-on experience.

6. Mathematics - Wikipedia

   en.wikipedia.org/wiki/Mathematics

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

7. Line (geometry) - Wikipedia

   en.wikipedia.org/wiki/Line_(geometry)

   e. In geometry, a straight line, usually abbreviated line, is an infinitely long object with no width, depth, or curvature, an idealization of such physical objects as a straightedge, a taut string, or a ray of light. Lines are spaces of dimension one, which may be embedded in spaces of dimension two, three, or higher.

8. Mathematical structure - Wikipedia

   en.wikipedia.org/wiki/Mathematical_structure

   Mathematical structure. In mathematics, a structure is a set provided with some additional features on the set (e.g. an operation, relation, metric, or topology ). Often, the additional features are attached or related to the set, so as to provide it with some additional meaning or significance. A partial list of possible structures are ...

9. Natural number - Wikipedia

   en.wikipedia.org/wiki/Natural_number

   A natural number can be used to express the size of a finite set; more precisely, a cardinal number is a measure for the size of a set, which is even suitable for infinite sets. The numbering of cardinals usually begins at zero, to accommodate the empty set. ∅ {\displaystyle \emptyset }