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Elementary Calculus: An Infinitesimal Approach; Nonstandard calculus; Infinitesimal; Archimedes' use of infinitesimals; For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics
Thomae's function: is a function that is continuous at all irrational numbers and discontinuous at all rational numbers. It is also a modification of Dirichlet function and sometimes called Riemann function. Kronecker delta function: is a function of two variables, usually integers, which is 1 if they are equal, and 0 otherwise.
If the function is called f, this relation is denoted y = f (x) (read f of x), the element x is the argument or input of the function, and y is the value of the function, the output, or the image of x by f. [43] The symbol that is used for representing the input is the variable of the function (one often says that f is a function of the ...
1673 - Gottfried Leibniz also develops his version of infinitesimal calculus, 1675 - Isaac Newton invents a Newton's method for the computation of roots of a function, 1675 - Leibniz uses the modern notation for an integral for the first time, 1677 - Leibniz discovers the rules for differentiating products, quotients, and the function of a ...
Cydalima perspectalis or the box tree moth is a species of moth of the family Crambidae, first described by Francis Walker, the English entomologist, in 1859.Native to Japan, China, Taiwan, Korea, far-east Russia and India, [1] it has invaded Europe; first recorded in Germany in 2006, then Switzerland and the Netherlands in 2007, Great Britain in 2008, France and Austria in 2009, [2] [3] [4 ...
Lepidopterans undergo complete metamorphosis, going through a four-stage life cycle: egg, larva or caterpillar, pupa or chrysalis, and imago (plural: imagines) / adult. The larvae – caterpillars – have a toughened ( sclerotised ) head capsule, chewing mouthparts , and a soft body, that may have hair-like or other projections, three pairs of ...
In geometry and algebra, the triple product is a product of three 3-dimensional vectors, usually Euclidean vectors.The name "triple product" is used for two different products, the scalar-valued scalar triple product and, less often, the vector-valued vector triple product.
Nowhere continuous function: is not continuous at any point of its domain; for example, the Dirichlet function. Homeomorphism: is a bijective function that is also continuous, and whose inverse is continuous. Open function: maps open sets to open sets. Closed function: maps closed sets to closed sets.