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  2. Automorphism of a Lie algebra - Wikipedia

    en.wikipedia.org/wiki/Automorphism_of_a_Lie_algebra

    The set of derivations on a Lie algebra is denoted ⁡ (), and is a subalgebra of the endomorphisms on , that is ⁡ < ⁡ (). They inherit a Lie algebra structure from the Lie algebra structure on the endomorphism algebra, and closure of the bracket follows from the Leibniz rule.

  3. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  4. Mathematical diagram - Wikipedia

    en.wikipedia.org/wiki/Mathematical_diagram

    Mathematical diagrams, such as charts and graphs, are mainly designed to convey mathematical relationships—for example, comparisons over time. [ 1 ] Specific types of mathematical diagrams

  5. Euler diagram - Wikipedia

    en.wikipedia.org/wiki/Euler_diagram

    They give examples of Venn diagrams to solve example switching-circuit problems, but end up with this statement: "For more than three variables, the basic illustrative form of the Venn diagram is inadequate. Extensions are possible, however, the most convenient of which is the Karnaugh map, to be discussed in Chapter 6." [13] (p 64)

  6. Category:Diagram algebras - Wikipedia

    en.wikipedia.org/wiki/Category:Diagram_algebras

    In mathematics, a diagram algebra is an algebraic structure in which operations are performed using diagrams rather than traditional techniques. In particular ...

  7. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    For example, Newton's classical mechanics is an approximated model of the real world. Still, Newton's model is quite sufficient for most ordinary-life situations, that is, as long as particle speeds are well below the speed of light, and we study macro-particles only. Note that better accuracy does not necessarily mean a better model.

  8. Five lemma - Wikipedia

    en.wikipedia.org/wiki/Five_lemma

    The method of proof we shall use is commonly referred to as diagram chasing. [1] We shall prove the five lemma by individually proving each of the two four lemmas. To perform diagram chasing, we assume that we are in a category of modules over some ring , so that we may speak of elements of the objects in the diagram and think of the morphisms ...

  9. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    For example, if the temperature of the current day, C, is 20 degrees higher than the temperature of the previous day, P, then the problem can be described algebraically as = +. [ 27 ] Variables allow one to describe general problems, [ 5 ] without specifying the values of the quantities that are involved.

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