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  2. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Solving an equation corresponds to adding and removing objects on both sides in such a way that the sides stay in balance until the only object remaining on one side is the object of unknown mass. [145] Word problems are another tool to show how algebra is applied to real-life situations. For example, students may be presented with a situation ...

  3. Literal (mathematical logic) - Wikipedia

    en.wikipedia.org/wiki/Literal_(mathematical_logic)

    In mathematical logic, a literal is an atomic formula (also known as an atom or prime formula) or its negation. [1] [2] The definition mostly appears in proof theory (of classical logic), e.g. in conjunctive normal form and the method of resolution. Literals can be divided into two types: [2] A positive literal is just an atom (e.g., ).

  4. Wikipedia : Contents/Mathematics and logic

    en.wikipedia.org/wiki/Wikipedia:Contents/...

    Unlike other sciences, the formal sciences are not concerned with the validity of theories based on observations in the real world, but instead with the properties of formal systems based on definitions and rules. Mathematics – study of quantity, structure, space, and change. Mathematicians seek out patterns, and formulate new conjectures.

  5. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    A difference equation is an equation where the unknown is a function f that occurs in the equation through f(x), f(x−1), ..., f(x−k), for some whole integer k called the order of the equation. If x is restricted to be an integer, a difference equation is the same as a recurrence relation

  6. List of equations - Wikipedia

    en.wikipedia.org/wiki/List_of_equations

    This is a list of equations, by Wikipedia page under appropriate bands of their field. Eponymous equations The following equations are named after researchers who ...

  7. Distributive property - Wikipedia

    en.wikipedia.org/wiki/Distributive_property

    In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality (+) = + is always true in elementary algebra.

  8. One small thing can add years to your life, experts say - AOL

    www.aol.com/one-small-thing-add-years-162937570.html

    Editor’s note: One Small Thing is a new series to help you take a simple step toward a healthy, impactful goal. Try this one thing, and you’ll be heading in the right direction.

  9. Mathematical logic - Wikipedia

    en.wikipedia.org/wiki/Mathematical_logic

    Tarski established quantifier elimination for real-closed fields, a result which also shows the theory of the field of real numbers is decidable. [43] He also noted that his methods were equally applicable to algebraically closed fields of arbitrary characteristic. A modern subfield developing from this is concerned with o-minimal structures.