In mathematics, the nth-term test for divergence is a simple test for the divergence of an infinite series: If lim n → ∞ a n ≠ 0 {\displaystyle \lim _{n\to...
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The test is inconclusive if the limit of the summand is zero. This is also known as the nth-term test, test for divergence, or the divergence test. This...
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In mathematics, an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x: r n = r × r ×...
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question either mechanically (every nth word) or selectively, depending on exactly what aspect it is intended to test for. The methodology is the subject...
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Rational root theorem (redirect from Rational zeroes test)
PlanetMath Another proof that nth roots of integers are irrational, except for perfect nth powers by Scott E. Brodie The Rational Roots Test at purplemath.com...
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making his case for a test ban, Kennedy drew a direct link between continued testing and nuclear proliferation, calling it the "'Nth-country' problem." While...
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Triangular number (redirect from Termial)
figurate number, other examples being square numbers and cube numbers. The nth triangular number is the number of dots in the triangular arrangement with...
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and then cuts off the series after the T N {\displaystyle T_{N}} term, one gets an Nth-degree polynomial approximating f(x). The reason this polynomial...
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construction of pentagonal numbers are not rotationally symmetrical. The nth pentagonal number pn is the number of distinct dots in a pattern of dots...
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Pentatope number (section Test for pentatope numbers)
83 and 461. We can derive this test from the formula for the nth pentatope number. Given a positive integer x, to test whether it is a pentatope number...
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Graduate Record Examinations (redirect from GRE test)
The Graduate Record Examinations (GRE) is a standardized test that is part of the admissions process for many graduate schools in the United States and...
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be seen by examining the prime factors of the binomial coefficients: the nth binomial coefficient is ( p n ) = p ! n ! ( p − n ) ! . {\displaystyle {\binom...
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Six degrees of separation (redirect from Nth degrees of separation)
average, without speculating on global linkages; he never actually used the term "six degrees of separation". Since the Psychology Today article gave the...
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Series (mathematics) (redirect from Remainder term)
the finite sums of the n first terms of the series, which are called the nth partial sums of the series. That is, ∑ i = 1 ∞ a i = lim n → ∞ ∑ i = 1 n...
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Exponentiation (category CS1 location test)
case, bn is called "b raised to the nth power", "b (raised) to the power of n", "the nth power of b", "b to the nth power", or most briefly as "b to the...
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terms are the natural numbers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number ∑ k = 1 n k = n ( n +...
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terms of a Taylor series is a polynomial of degree n that is called the nth Taylor polynomial of the function. Taylor polynomials are approximations...
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pre-eminent engineering university, the Norwegian Institute of Technology (NTH) which was established by Parliament in 1910 as Norway's national engineering...
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Nuclear weapon (section Testing and deployment)
global issues List of nuclear weapons List of states with nuclear weapons Nth Country Experiment Nuclear blackout Nuclear bunker buster Nuclear weapons...
116 KB (13,243 words) - 08:59, 15 August 2024
61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817, 919. The nth centered hexagonal number is given by the formula H ( n ) = n 3 − ( n − 1...
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the table below, "na" is shorthand for the "nth rank, primary" (正n品), which is a higher sub-rank than "nth rank, secondary" (從n品), denoted as "nb" in the...
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arrange the elements of the columns so that the nth column corresponds to the inverse of the element in the nth row. In our example of D3, we need only switch...
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discussion of doomsday machines, Kahn raises the problem of a nuclear-armed Nth country triggering a doomsday machine, and states that he didn't advocate...
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Geometric series (section Initial term a)
S} and its partial sums (the sums of the series going up to only the nth power term) will be denoted S n . {\displaystyle S_{n}.} The convergence of the...
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said to have double exponential rate of growth if the function giving the nth term of the sequence is bounded above and below by double exponential functions...
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Derivative (redirect from Nth derivative)
{1}{x}}e^{x}-\ln(x)e^{x}.\end{aligned}}} Here the second term was computed using the chain rule and the third term using the product rule. The known derivatives...
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revealed to Duke Thomas that the term "meta" originated from a rudimentary hospital program used to automatically flag Nth metal toxicity found in a person's...
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algebraic operations: addition, multiplication, division, and taking an nth root. This is something of an oversimplification; because of the fundamental...
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f^{(6)}(x),\ldots .} This notation also makes it possible to describe the nth derivative, where n is a variable. This is written f ( n ) ( x ) . {\displaystyle...
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arithmetico-geometric sequence is the product of the nth term of an arithmetic sequence and the nth term of a geometric sequence. Arithmetico-geometric sequences...
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