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  2. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations.

  3. Language of mathematics - Wikipedia

    en.wikipedia.org/wiki/Language_of_mathematics

    The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.

  4. Principia Mathematica - Wikipedia

    en.wikipedia.org/wiki/Principia_Mathematica

    Sections 10, 11, 12: Properties of a variable extended to all individuals: section 10 introduces the notion of "a property" of a "variable". PM gives the example: φ is a function that indicates "is a Greek", and ψ indicates "is a man", and χ indicates "is a mortal" these functions then apply to a variable x .

  5. Formal proof - Wikipedia

    en.wikipedia.org/wiki/Formal_proof

    In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (known as well-formed formulas when relating to formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence, according to the rule of inference.

  6. Exercise (mathematics) - Wikipedia

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

    An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [1] The student of arithmetic who has mastered the first four rules of his art and successfully striven with sums and fractions finds himself confronted by an unbroken expanse of questions known as problems ...

  7. Rewriting - Wikipedia

    en.wikipedia.org/wiki/Rewriting

    Pic.1: Schematic triangle diagram of application of a rewrite rule at position in a term, with matching substitution Pic.2: Rule lhs term () matching in term ((+) (+)) () A term rewriting system ( TRS ) is a rewriting system whose objects are terms , which are expressions with nested sub-expressions.

  8. 10 Strength Training 'Rules' to Follow for the Best Results

    www.aol.com/lifestyle/10-strength-training-rules...

    ShutterstockA solid strength training regimen is essential to build a stronger, healthier body. However, it's also important to make sure you're doing the right things correctly. Eat This, Not ...

  9. Syntax (logic) - Wikipedia

    en.wikipedia.org/wiki/Syntax_(logic)

    Syntax is usually associated with the rules (or grammar) governing the composition of texts in a formal language that constitute the well-formed formulas of a formal system. In computer science, the term syntax refers to the rules governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is ...