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  2. Substitution (logic) - Wikipedia

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

    A substitution is called a ground substitution if it maps all variables of its domain to ground, i.e. variable-free, terms. The substitution instance tσ of a ground substitution is a ground term if all of t ' s variables are in σ ' s domain, i.e. if vars(t) ⊆ dom(σ).

  3. Integration by reduction formulae - Wikipedia

    en.wikipedia.org/wiki/Integration_by_reduction...

    In integral calculus, integration by reduction formulae is a method relying on recurrence relations.It is used when an expression containing an integer parameter, usually in the form of powers of elementary functions, or products of transcendental functions and polynomials of arbitrary degree, can't be integrated directly.

  4. Substitution table - Wikipedia

    en.wikipedia.org/wiki/Substitution_table

    A substitution table is used while teaching structures of English. [1] [2] Substitution tables were invented by Harold E. Palmer, [3] who defines substitution as "the process by which any authentic sentence may be multiplied indefinitely by substituting for any of its words or word-groups others of the same grammatical family and within certain semantic limits".

  5. Lambda calculus - Wikipedia

    en.wikipedia.org/wiki/Lambda_calculus

    Substitution, written M[x := N], is the process of replacing all free occurrences of the variable x in the expression M with expression N. Substitution on terms of the lambda calculus is defined by recursion on the structure of terms, as follows (note: x and y are only variables while M and N are any lambda expression): x[x := N] = N

  6. Lesson plan - Wikipedia

    en.wikipedia.org/wiki/Lesson_plan

    A lesson plan is envisaged as a blue print, guide map for action, a comprehensive chart of classroom teaching-learning activities, an elastic but systematic approach for the teaching of concepts, skills and attitudes. The first thing for setting a lesson plan is to create an objective, that is, a statement of purpose for the whole lesson.

  7. String interpolation - Wikipedia

    en.wikipedia.org/wiki/String_interpolation

    The placeholder may be a variable name, or in some languages an arbitrary expression, in either case evaluated in the current context. String interpolation is an alternative to building string via concatenation , which requires repeat quoting and unquoting; [ 2 ] or substituting into a printf format string , where the variable is far from where ...

  8. Mathematical notation - Wikipedia

    en.wikipedia.org/wiki/Mathematical_notation

    Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics , science , and engineering for representing complex concepts and properties in a concise ...

  9. Tschirnhaus transformation - Wikipedia

    en.wikipedia.org/wiki/Tschirnhaus_transformation

    For example, finding a substitution = + + for a cubic equation of degree =, = + + + such that substituting = yields a new equation ′ = + ′ + ′ + ′ such that ′ =, ′ =, or both. More generally, it may be defined conveniently by means of field theory , as the transformation on minimal polynomials implied by a different choice of ...

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