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Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
An early two-subproblem D&C algorithm that was specifically developed for computers and properly analyzed is the merge sort algorithm, invented by John von Neumann in 1945. [ 7 ] Another notable example is the algorithm invented by Anatolii A. Karatsuba in 1960 [ 8 ] that could multiply two n - digit numbers in O ( n log 2 3 ...
The metonic series repeats eclipses every 19 years (6939.69 days), lasting about 5 cycles. Eclipses occur in nearly the same calendar date. In addition, the octon subseries repeats 1/5 of that or every 3.8 years (1387.94 days). All eclipses in this table occur at the Moon's ascending node.
Tetracyanoquinodimethane (TCNQ) is an organic compound with the chemical formula (N≡C−) 2 C=C 6 H 4 =C(−C≡N) 2. It is an orange crystalline solid. This cyanocarbon, a relative of para-quinone, is an electron acceptor that is used to prepare charge transfer salts, which are of interest in molecular electronics.
The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
The first four partial sums of the series 1 + 2 + 3 + 4 + ... The parabola is their smoothed asymptote; its y-intercept is −1/12. [1]The infinite series whose terms ...
Alternative notations include C(n, k), n C k, n C k, C k n, [3] C n k, and C n,k, in all of which the C stands for combinations or choices; the C notation means the number of ways to choose k out of n objects. Many calculators use variants of the C notation because they can represent it on a single-line display.
For π-electron ligands such as the cyclopentadienide ion [C 5 H 5] −, alkenes and the cyclooctatetraenide ion [C 8 H 8] 2−, the number of adjacent atoms in the π-electron system that bind to the central atom is termed the hapticity. [7] In ferrocene the hapticity, η, of each cyclopentadienide anion is five, Fe(η 5-C 5 H 5) 2. Various ...