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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. 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.

  5. 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 ...

  6. 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.

  7. 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 ...

  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. Formal system - Wikipedia

    en.wikipedia.org/wiki/Formal_system

    Formal language, which is a set of well-formed formulas, which are strings of symbols from an alphabet, formed by a formal grammar (consisting of production rules or formation rules). Deductive system, deductive apparatus, or proof system, which has rules of inference that take axioms and infers theorems, both of which are part of the formal ...

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