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  2. Three-fifths Compromise - Wikipedia

    en.wikipedia.org/wiki/Three-Fifths_Compromise

    In the U.S. Constitution, the Three-fifths Compromise is part of Article 1, Section 2, Clause 3: . Representatives and direct Taxes shall be apportioned among the several States which may be included within this Union, according to their respective Numbers, which shall be determined by adding to the whole Number of free Persons, including those bound to Service for a Term of Years, and ...

  3. Polynomial expansion - Wikipedia

    en.wikipedia.org/wiki/Polynomial_expansion

    In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...

  4. Divided differences - Wikipedia

    en.wikipedia.org/wiki/Divided_differences

    5.1 Expanded form. 5.2 Peano form. 5.3 Forward and backward differences. 6 See also. 7 References. 8 External links. Toggle the table of contents. Divided differences ...

  5. Trinomial expansion - Wikipedia

    en.wikipedia.org/wiki/Trinomial_expansion

    The number of terms of an expanded trinomial is the triangular number + = (+) (+), where n is the exponent to which the trinomial is ... [3] Example An example of a ...

  6. Synthetic division - Wikipedia

    en.wikipedia.org/wiki/Synthetic_division

    The above form of synthetic division is useful in the context ... the expanded technique may be ... x**2 + 3*x + 5 will be represented as [1, 3, 5 ...

  7. Series expansion - Wikipedia

    en.wikipedia.org/wiki/Series_expansion

    A Laurent series is a generalization of the Taylor series, allowing terms with negative exponents; it takes the form = and converges in an annulus. [6] In particular, a Laurent series can be used to examine the behavior of a complex function near a singularity by considering the series expansion on an annulus centered at the singularity.

  8. Hypercubic honeycomb - Wikipedia

    en.wikipedia.org/wiki/Hypercubic_honeycomb

    A third form is generated by an expansion operation applied to the regular form, creating facets in place of all lower-dimensional elements. For example, an expanded cubic honeycomb has cubic cells centered on the original cubes, on the original faces, on the original edges, on the original vertices, creating 4 colors of cells around in vertex ...

  9. Value-form - Wikipedia

    en.wikipedia.org/wiki/Value-form

    2. The expanded or total form of value, a quantitative "chaining together" of the simple forms of expressing value. 3. The general form of value, i.e., the expression of the worth of all products reckoned in a general equivalent which functions as a standard of value. 4.