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2. Cheat sheet - Wikipedia

   en.wikipedia.org/wiki/Cheat_sheet

   A cheat sheet (also cheatsheet) or crib sheet is a concise set of notes used for quick reference. Cheat sheets were historically used by students without an instructor or teacher's knowledge to cheat on a test or exam. [1] In the context of higher education or vocational training, where rote memorization is not as important, students may be ...

3. Identity (mathematics) - Wikipedia

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

   In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables within a certain range of validity. [1] In other words, A = B is an identity if A and B define the same functions ...

4. Representation (mathematics) - Wikipedia

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

   Representation (mathematics) In mathematics, a representation is a very general relationship that expresses similarities (or equivalences) between mathematical objects or structures. Roughly speaking, a collection Y of mathematical objects may be said to represent another collection X of objects, provided that the properties and relationships ...

5. Middle-square method - Wikipedia

   en.wikipedia.org/wiki/Middle-square_method

   One iteration of the middle-square method, showing a 6-digit seed, which is then squared, and the resulting value has its middle 6 digits as the output value (and also as the next seed for the sequence). Directed graph of all 100 2-digit pseudorandom numbers obtained using the middle-square method with n = 2.

6. Mathematical beauty - Wikipedia

   en.wikipedia.org/wiki/Mathematical_beauty

   An example of "beauty in method"—a simple and elegant visual descriptor of the Pythagorean theorem. Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may express this pleasure by describing mathematics (or, at least, some aspect of mathematics ...

7. Uniqueness quantification - Wikipedia

   en.wikipedia.org/wiki/Uniqueness_quantification

   In mathematics and logic, the term "uniqueness" refers to the property of being the one and only object satisfying a certain condition. [1] This sort of quantification is known as uniqueness quantification or unique existential quantification, and is often denoted with the symbols " ∃ !" [2] or "∃ =1 ". For example, the formal statement.