Philosophiæ Naturalis Principia Mathematica (English: The Mathematical Principles of Natural Philosophy) often referred to as simply the Principia (/prɪnˈsɪpiə...

Interval arithmetic (also known as interval mathematics; interval analysis or interval computation) is a mathematical technique used to mitigate rounding...

values with opposite signs. The method consists of repeatedly bisecting the interval defined by these values and then selecting the subinterval in which the...

"Transitive Closures of Binary Relations I". Acta Universitatis Carolinae. Mathematica et Physica. 48 (1). Prague: School of Mathematics – Physics Charles University:...

two prevailing definitions, denoted here as rounding machine epsilon and interval machine epsilon. The machine epsilon is dependent on the type of rounding...

primes". Acta Mathematica. 44: 1–70. doi:10.1007/BF02403921. Gallagher, Patrick X. (1976). "On the distribution of primes in short intervals". Mathematika...

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...

symbolic answer whenever it exists. The Risch algorithm, implemented in Mathematica, Maple and other computer algebra systems, does just that for functions...

systems. Significant systems include Axiom, GAP, Maxima, Magma, Maple, Mathematica, and SageMath. Computer algebra systems began to appear in the 1960s...

inverse transforms in Mathematica Numerical Inversion of Laplace Transform with Multiple Precision Using the Complex Domain in Mathematica gives numerical solutions...

capable of complex statistical computation include programs such as Mathematica, SAS, SPSS, and R. In business, "statistics" is a widely used management-...

distribution. The difference between the bounds defines the interval length; all intervals of the same length on the distribution's support are equally...

first stated by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), originally published...

Mathematica with MathLink". Wolfram Research. Wolfram Library Archive. rsmenon; szhorvat (2013). "MATLink: Communicate with MATLAB from Mathematica"...

Bootstrapping assigns measures of accuracy (bias, variance, confidence intervals, prediction error, etc.) to sample estimates. This technique allows estimation...

calculation as the default option for the method pandas.DataFrame.corr Wolfram Mathematica via the Correlation function, or (with the P value) with CorrelationTest...

sliding on a cycloid, and many other problems discussed in his Principia Mathematica (1687). In other work, he developed series expansions for functions,...

Resnikoff, Louis A. (1943). "Jewish Calendar Calculations". Scripta Mathematica. 9: 276. Schram, Robert (1908). "Kalendariographische und Chronologische...

after the ancient mathematician and philosopher Pythagoras, is the small interval (or comma) existing in Pythagorean tuning between two enharmonically equivalent...

points dividing the range of a probability distribution into continuous intervals with equal probabilities, or dividing the observations in a sample in...

Javascript applet using JSXGraph Animated Lissajous figures [1] Wolfram Mathematica - Lissajous figures with interactive sliders in Wolfram mathematica...

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...

"Generalized Szász operators for the approximation in the finite interval". Mathematica (Cluj). 11 (34): 97–103. Dany Leviatan at the Mathematics Genealogy...

quadrature weights and abscissas, for n=2 through n=64, with Mathematica source code. Mathematica source code distributed under the GNU LGPL for abscissas...

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...

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...

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...

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)...

advent of computer graphics, Bernstein polynomials, restricted to the interval [0, 1], became important in the form of Bézier curves. A numerically stable...

Pythagorean interval, at the cost of replacing one fifth (and one fourth) with a wolf interval. Intervals between notes (wolf intervals bolded): Note...