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1. Infinitesimal: Infinitesimal means infinitely small, approach zero in the limit. It is a modern concept that is a byproduct of the acceptance of the concept of infinity itself, which the Ancient Greeks and Ancient Romans mistakenly refused to recognize. [100%] 2023-02-27 [Logic] [Mathematics]...
2. Infinitesimal: In mathematics, an infinitesimal number is a quantity that is closer to zero than any standard real number, but that is not zero. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the ... (Extremely small quantity in calculus) [100%] 2023-12-30 [Calculus] [Infinity]...
3. Infinitesimal: An infinitesimal is a quantity that is so small that it cannot be seen or measured. In mathematics, it is a non-zero quantity that approaches zero as a limit. When used as an adjective in the vernacular, infinitesimal means ... [100%] 2023-02-04
4. Infinitesimal operator: The name for linear operators that are differentials of mappings of certain classes (cf. Differential). (Mathematics) [70%] 2023-10-17
5. Cálculo infinitesimal: El cálculo infinitesimal o simplemente cálculo constituye una rama muy importante de las matemáticas. En la misma manera que la geometría estudia el espacio y el álgebra estudia las estructuras abstractas, el cálculo es el estudio del cambio y la ... [70%] 2024-02-02
6. Infinitesimal deformation: infinitesimally-small deformation A concept which first appeared in the description of the deformation of a surface $ F $ in three-dimensional Euclidean space, in which the variation of the lengths of curves on $ F $ is of a lower order of ... (Mathematics) [70%] 2023-10-19
7. Calculo Infinitesimal: Para otros usos de este término, véase Cálculo (desambiguación). Para cálculo infinitesimal (diferencial o integral), véase Cálculo infinitesimal. Para el estudio de los números reales, los complejos, los vectores y sus funciones, véase Análisis matemático. [70%] 2023-06-01
8. Infinitesimal transformation: In mathematics, an infinitesimal transformation is a limiting form of small transformation. For example one may talk about an infinitesimal rotation of a rigid body, in three-dimensional space. (Limiting form of small transformation) [70%] 2023-12-30 [Lie groups] [Transformation (function)]...
9. Infinitesimal structure: A structure on an $n$-dimensional differentiable manifold $M^n$ that is determined by a reduction of the differentiable structure group $D_n^r$ of the principal bundle of frames of order $r$ on $M^n$, i.e. of invertible $r ... (Mathematics) [70%] 2023-10-27
10. Infinitesimal calculus: A term which formerly included various branches of mathematical analysis connected with the concept of an infinitely-small function. Even though the method of "infinitely smalls" had been successfully employed in various forms by the scientists of Ancient Greece and ... (Mathematics) [70%] 2023-10-18
11. Infinitesimal character: In mathematics, the infinitesimal character of an irreducible representation ρ of a semisimple Lie group G on a vector space V is, roughly speaking, a mapping to scalars that encodes the process of first differentiating and then diagonalizing the representation. It ... [70%] 2023-11-20 [Representation theory of Lie groups]
12. Infinitesimal Calculus: The infinitesimal calculus is the body of rules and processes by means of which continuously varying magnitudes are dealt with in mathematical analysis. The name “infinitesimal” has been applied to the calculus because most of the leading results were first ... [70%] 2022-09-02
13. Infinitesimal generator (stochastic processes): In mathematics — specifically, in stochastic analysis — the infinitesimal generator of a Feller process (i.e. a continuous-time Markov process satisfying certain regularity conditions) is a Fourier multiplier operator that encodes a great deal of information about the process. (Stochastic processes) [70%] 2023-12-29 [Stochastic differential equations]
14. Continuity and Infinitesimals: The usual meaning of the word continuous is “unbroken” or “uninterrupted”: thus a continuous entity—a continuum—has no “gaps.” We commonly suppose that space and time are continuous, and certain philosophers have maintained that all natural processes occur continuously ... (Philosophy) [62%] 2021-12-24
15. Infinitesimal strain theory: In continuum mechanics, the infinitesimal strain theory is a mathematical approach to the description of the deformation of a solid body in which the displacements of the material particles are assumed to be much smaller (indeed, infinitesimally smaller) than any ... (Physics) [57%] 2023-12-30 [Physical quantities] [Elasticity (physics)]...