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  2. Degree of a polynomial - Wikipedia

    en.wikipedia.org/wiki/Degree_of_a_polynomial

    For example, the polynomial +, which can also be written as +, has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

  3. First-order - Wikipedia

    en.wikipedia.org/wiki/First-order

    In mathematics and other formal sciences, first-order or first order most often means either: " linear " (a polynomial of degree at most one), as in first-order approximation and other calculus uses, where it is contrasted with "polynomials of higher degree", or

  4. Order of a polynomial - Wikipedia

    en.wikipedia.org/wiki/Order_of_a_polynomial

    the multiplicative order, that is, the number of times the polynomial is divisible by some value; the order of the polynomial considered as a power series, that is, the degree of its non-zero term of lowest degree; or; the order of a spline, either the degree+1 of the polynomials defining the spline or the number of knot points used to ...

  5. Taylor's theorem - Wikipedia

    en.wikipedia.org/wiki/Taylor's_theorem

    For a smooth function, the Taylor polynomial is the truncation at the order of the Taylor series of the function. The first-order Taylor polynomial is the linear approximation of the function, and the second-order Taylor polynomial is often referred to as the quadratic approximation. [1]

  6. Order of approximation - Wikipedia

    en.wikipedia.org/wiki/Order_of_approximation

    In the zeroth-order example above, the quantity "a few" was given, but in the first-order example, the number "4" is given. A first-order approximation of a function (that is, mathematically determining a formula to fit multiple data points) will be a linear approximation, straight line with a slope: a polynomial of degree 1. For example:

  7. Recurrence relation - Wikipedia

    en.wikipedia.org/wiki/Recurrence_relation

    This defines recurrence relation of first order. ... This is an example of a linear recurrence with polynomial coefficients of order 1, with the simple polynomial ...

  8. Curve fitting - Wikipedia

    en.wikipedia.org/wiki/Curve_fitting

    The first degree polynomial equation could also be an exact fit for a single point and an angle while the third degree polynomial equation could also be an exact fit for two points, an angle constraint, and a curvature constraint. Many other combinations of constraints are possible for these and for higher order polynomial equations.

  9. Polynomial - Wikipedia

    en.wikipedia.org/wiki/Polynomial

    The word polynomial joins two diverse roots: the Greek poly, meaning "many", and the Latin nomen, or "name". It was derived from the term binomial by replacing the Latin root bi-with the Greek poly-. That is, it means a sum of many terms (many monomials). The word polynomial was first used in the 17th century. [6]

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