Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy) often referred to as simply the Principia (/prɪnˈsɪpiə...
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Bisection method (redirect from Interval halving)
values with opposite signs. The method consists of repeatedly bisecting the interval defined by these values and then selecting the subinterval in which the...
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Interval arithmetic (also known as interval mathematics; interval analysis or interval computation) is a mathematical technique used to mitigate rounding...
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Partially ordered set (redirect from Interval (partial order))
"Transitive Closures of Binary Relations I". Acta Universitatis Carolinae. Mathematica et Physica. 48 (1). Prague: School of Mathematics – Physics Charles University:...
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two prevailing definitions, denoted here as rounding machine epsilon and interval machine epsilon. The machine epsilon is dependent on the type of rounding...
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primes". Acta Mathematica. 44: 1–70. doi:10.1007/BF02403921. Gallagher, Patrick X. (1976). "On the distribution of primes in short intervals". Mathematika...
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point within the interval. This has two important corollaries: If a continuous function has values of opposite sign inside an interval, then it has a root...
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symbolic answer whenever it exists. The Risch algorithm, implemented in Mathematica, Maple and other computer algebra systems, does just that for functions...
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systems. Significant systems include Axiom, GAP, Maxima, Magma, Maple, Mathematica, and SageMath. Computer algebra systems began to appear in the 1960s...
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Mathematica with MathLink". Wolfram Research. Wolfram Library Archive. rsmenon; szhorvat (2013). "MATLink: Communicate with MATLAB from Mathematica"...
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inverse transforms in Mathematica Numerical Inversion of Laplace Transform with Multiple Precision Using the Complex Domain in Mathematica gives numerical solutions...
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Statistics (section Interval estimation)
capable of complex statistical computation include programs such as Mathematica, SAS, SPSS, and R. In business, "statistics" is a widely used management-...
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distribution. The difference between the bounds defines the interval length; all intervals of the same length on the distribution's support are equally...
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first stated by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), originally published...
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Bootstrapping assigns measures of accuracy (bias, variance, confidence intervals, prediction error, etc.) to sample estimates. This technique allows estimation...
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calculation as the default option for the method pandas.DataFrame.corr Wolfram Mathematica via the Correlation function, or (with the P value) with CorrelationTest...
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sliding on a cycloid, and many other problems discussed in his Principia Mathematica (1687). In other work, he developed series expansions for functions,...
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Hebrew calendar (section Molad interval)
Resnikoff, Louis A. (1943). "Jewish Calendar Calculations". Scripta Mathematica. 9: 276. Schram, Robert (1908). "Kalendariographische und Chronologische...
109 KB (13,377 words) - 02:46, 29 July 2024
Pythagorean comma (category 3-limit tuning and intervals)
after the ancient mathematician and philosopher Pythagoras, is the small interval (or comma) existing in Pythagorean tuning between two enharmonically equivalent...
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Gaussian quadrature (section Change of interval)
quadrature weights and abscissas, for n=2 through n=64, with Mathematica source code. Mathematica source code distributed under the GNU LGPL for abscissas...
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points dividing the range of a probability distribution into continuous intervals with equal probabilities, or dividing the observations in a sample in...
28 KB (2,928 words) - 17:26, 17 May 2024
Javascript applet using JSXGraph Animated Lissajous figures [1] Wolfram Mathematica - Lissajous figures with interactive sliders in Wolfram mathematica...
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typically chosen to be the unique value of the argument that lies within the interval (−π, π]. In this article the multi-valued function will be denoted arg(z)...
13 KB (1,987 words) - 04:44, 19 July 2024
"Generalized Szász operators for the approximation in the finite interval". Mathematica (Cluj). 11 (34): 97–103. Dany Leviatan at the Mathematics Genealogy...
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sequence is equidistributed in [0, 2], since the interval [0.5, 0.9] occupies 1/5 of the length of the interval [0, 2], as n becomes large, the proportion of...
21 KB (2,394 words) - 18:48, 9 November 2022
real-valued function f {\displaystyle f} is continuous on the closed and bounded interval [ a , b ] {\displaystyle [a,b]} , then f {\displaystyle f} must attain...
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noncommutative geometry and the zeros of the Riemann zeta function", Selecta Mathematica, New Series, 5 (1): 29–106, arXiv:math/9811068, doi:10.1007/s000290050042...
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characterization states that the functions of bounded variation on a compact interval are exactly those f which can be written as a difference g − h, where both...
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advent of computer graphics, Bernstein polynomials, restricted to the interval [0, 1], became important in the form of Bézier curves. A numerically stable...
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Ptolemy's intense diatonic scale (category 5-limit tuning and intervals)
Pythagorean interval, at the cost of replacing one fifth (and one fourth) with a wolf interval. Intervals between notes (wolf intervals bolded): Note...
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