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2. Glossary of mathematical symbols - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   For example: "All humans are mortal, and Socrates is a human. ∴ Socrates is mortal." ∵ Abbreviation of "because" or "since". Placed between two assertions, it means that the first one is implied by the second one. For example: "11 is prime ∵ it has no positive integer factors other than itself and one." ∋ 1. Abbreviation of "such that".

3. Manifold - Wikipedia

   en.wikipedia.org/wiki/Manifold

   These two charts provide a second atlas for the circle, with the transition map = (that is, one has this relation between s and t for every point where s and t are both nonzero). Each chart omits a single point, either (−1, 0) for s or (+1, 0) for t, so neither chart alone is sufficient to cover the whole circle. It can be proved that it is ...

4. Atlas (topology) - Wikipedia

   en.wikipedia.org/wiki/Atlas_(topology)

   A transition map provides a way of comparing two charts of an atlas. To make this comparison, we consider the composition of one chart with the inverse of the other. This composition is not well-defined unless we restrict both charts to the intersection of their domains of definition. (For example, if we have a chart of Europe and a chart of ...

5. List of mathematical abbreviations - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical...

   s.t. – such that or so that or subject to. st – standard part function. STP – [it is] sufficient to prove. SU – special unitary group. sup – supremum of a set. [1] (Also written as lub, which stands for least upper bound.) supp – support of a function. swish – swish function, an activation function in data analysis.

6. Tchart (disambiguation) - Wikipedia

   en.wikipedia.org/wiki/Tchart_(disambiguation)

   T-chart, a chart of probability distributions; See also. T Chartran (1849–1907), French propaganda painter and portrait artist This page was last edited on 19 April ...

7. Student's t-distribution - Wikipedia

   en.wikipedia.org/wiki/Student's_t-distribution

   The Student's t distribution plays a role in a number of widely used statistical analyses, including Student's t test for assessing the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and in linear regression analysis.

8. Differentiable manifold - Wikipedia

   en.wikipedia.org/wiki/Differentiable_manifold

   Let M be a topological space.A chart (U, φ) on M consists of an open subset U of M, and a homeomorphism φ from U to an open subset of some Euclidean space R n.Somewhat informally, one may refer to a chart φ : U → R n, meaning that the image of φ is an open subset of R n, and that φ is a homeomorphism onto its image; in the usage of some authors, this may instead mean that φ : U → R n ...

9. Mathematical diagram - Wikipedia

   en.wikipedia.org/wiki/Mathematical_diagram

   In mathematics, and especially in category theory, a commutative diagram is a diagram of objects, also known as vertices, and morphisms, also known as arrows or edges, such that when selecting two objects any directed path through the diagram leads to the same result by composition.