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  2. Sentence (mathematical logic) - Wikipedia

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

    A sentence can be viewed as expressing a proposition, something that must be true or false. The restriction of having no free variables is needed to make sure that sentences can have concrete, fixed truth values: as the free variables of a (general) formula can range over several values, the truth value of such a formula may vary.

  3. Indeterminate equation - Wikipedia

    en.wikipedia.org/wiki/Indeterminate_equation

    In mathematics, particularly in algebra, an indeterminate equation is an equation for which there is more than one solution. [1] For example, the equation a x + b y = c {\displaystyle ax+by=c} is a simple indeterminate equation, as is x 2 = 1 {\displaystyle x^{2}=1} .

  4. Expression (mathematics) - Wikipedia

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

    For a given combination of values for the free variables, an expression may be evaluated, although for some combinations of values of the free variables, the value of the expression may be undefined. Thus an expression represents an operation over constants and free variables and whose output is the resulting value of the expression.

  5. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    In contrast, no renaming of (x 1 ∨ ¬x 2 ∨ ¬x 3) ∧ (¬x 1 ∨ x 2 ∨ x 3) ∧ ¬x 1 leads to a Horn formula. Checking the existence of such a replacement can be done in linear time; therefore, the satisfiability of such formulae is in P as it can be solved by first performing this replacement and then checking the satisfiability of the ...

  6. 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

  7. Musk v Altman judge says it is a 'stretch' for Musk to claim ...

    www.aol.com/news/musk-v-altman-judge-says...

    Attorneys for Elon Musk and OpenAI's Sam Altman went head to head in a California courtroom Tuesday.. A judge considered Musk's bid to block OpenAI's transition to a for-profit entity. The judge ...

  8. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    To do so, the different variables in the equation are understood as coordinates and the values that solve the equation are interpreted as points of a graph. For example, if x {\displaystyle x} is set to zero in the equation y = 0.5 x − 1 {\displaystyle y=0.5x-1} , then y {\displaystyle y} must be −1 for the equation to be true.

  9. Yellen warns of 'irreparable harm' if debt ceiling not raised ...

    www.aol.com/finance/yellen-warns-irreparable...

    The Treasury Secretary pushed lawmakers to increase or suspend the limit in a "timely manner."