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  2. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    In the base ten number system, integer powers of 10 are written as the digit 1 followed or preceded by a number of zeroes determined by the sign and magnitude of the exponent. For example, 10 3 = 1000 and 10 −4 = 0.0001. Exponentiation with base 10 is used in scientific notation to denote large or small numbers.

  3. Proof of Fermat's Last Theorem for specific exponents

    en.wikipedia.org/wiki/Proof_of_Fermat's_Last...

    Since u = 2m 2 = 2de, and since d and e are coprime, they must be squares themselves, d = g 2 and e = h 2. This gives the equation v = d 2 − e 2 = g 4 − h 4 = k 2. The solution (g, h, k) is another solution to the original equation, but smaller (0 < g < d < x). Applying the same procedure to (g, h, k) would produce another solution, still ...

  4. Degree of a polynomial - Wikipedia

    en.wikipedia.org/wiki/Degree_of_a_polynomial

    For polynomials in two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree (sometimes called the total degree) of the polynomial is again the maximum of the degrees of all terms in the polynomial. For example, the polynomial x 2 y 2 + 3x 3 + 4y has degree 4, the same degree as the term x ...

  5. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    In mathematics, an algebraic expression is an expression built up from constants (usually, algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).

  6. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Constant function: polynomial of degree zero, graph is a horizontal straight line; Linear function: First degree polynomial, graph is a straight line. Quadratic function: Second degree polynomial, graph is a parabola. Cubic function: Third degree polynomial. Quartic function: Fourth degree polynomial. Quintic function: Fifth degree polynomial.

  7. Tetration - Wikipedia

    en.wikipedia.org/wiki/Tetration

    An example is 3 tetrated to 4 is 3^3^3^3. ... The problem lies in the meaning of hyper with ... One of the simpler and faster formulas for a third-degree super-root ...

  8. Mortgage and refinance rates for Dec. 18, 2024: Average ... - AOL

    www.aol.com/finance/mortgage-and-refinance-rates...

    Average mortgage rates edge higher for 30-year and 15-year terms as of Wednesday, December 18, 2024, as the Federal Reserve is set to conclude its final policy session of the year.

  9. Exponential field - Wikipedia

    en.wikipedia.org/wiki/Exponential_field

    A field is an algebraic structure composed of a set of elements, F, two binary operations, addition (+) such that F forms an abelian group with identity 0 F and multiplication (·), such that F excluding 0 F forms an abelian group under multiplication with identity 1 F, and such that multiplication is distributive over addition, that is for any elements a, b, c in F, one has a · (b + c) = (a ...

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