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is a horizontal line with y-intercept a0. The graph of a degree 1 polynomial (or linear function) f(x) = a0 + a1x, where a1 ≠ 0, is an oblique line with y-intercept a0 and slope a1. The graph of a degree 2 polynomial. f(x) = a0 + a1x + a2x2, where a2 ≠ 0. is a parabola. The graph of a degree 3 polynomial.
The ii–V–I progression ("two–five–one progression") (occasionally referred to as ii–V–I turnaround, and ii–V–I) is a common cadential chord progression used in a wide variety of music genres, including jazz harmony. It is a succession of chords whose roots descend in fifths from the second degree (supertonic) to the fifth degree ...
Backdoor compared with the dominant (front door) in the chromatic circle: they share two tones and are transpositionally equivalent. In jazz and jazz harmony, the chord progression from iv 7 to ♭ VII 7 to I (the tonic or "home" chord) has been nicknamed the backdoor progression [1] [2] or the backdoor ii-V, as described by jazz theorist and author Jerry Coker.
Multilinear polynomial. In algebra, a multilinear polynomial[1] is a multivariate polynomial that is linear (meaning affine) in each of its variables separately, but not necessarily simultaneously. It is a polynomial in which no variable occurs to a power of 2 or higher; that is, each monomial is a constant times a product of distinct variables.
In mathematics, a quadratic polynomial is a polynomial of degree two in one or more variables. A quadratic function is the polynomial function defined by a quadratic polynomial. Before the 20th century, the distinction was unclear between a polynomial and its associated polynomial function; so "quadratic polynomial" and "quadratic function ...
In mathematics, Descartes' rule of signs, described by René Descartes in his La Géométrie, counts the roots of a polynomial by examining sign changes in its coefficients. The number of positive real roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting zero coefficients), and the difference ...
A jazz term that instructs a lead player or rhythm section member to play an improvised solo cadenza for one or two measures (sometimes abbreviated as "break"), without any accompaniment. The solo part is often played in a rhythmically free manner, until the player performs a pickup or lead-in line, at which time the band recommences playing in ...
The term "stride" comes from the idea of the pianist's left hand leaping, or "striding", across the piano. [2] The left hand characteristically plays a four-beat pulse with a single bass note (or an octave , major seventh , minor seventh or major tenth interval ) on the first and third beats , and a chord on the second and fourth beats.