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The non-orientable genus, demigenus, or Euler genus of a connected, non-orientable closed surface is a positive integer representing the number of cross-caps attached to a sphere. Alternatively, it can be defined for a closed surface in terms of the Euler characteristic χ, via the relationship χ = 2 − k , where k is the non-orientable genus.
File:Lagrangian vs Eulerian [further explanation needed] Eulerian perspective of fluid velocity versus Lagrangian depiction of strain. In classical field theories , the Lagrangian specification of the flow field is a way of looking at fluid motion where the observer follows an individual fluid parcel as it moves through space and time.
LexSite non-collaborative English-Russian dictionary with contextual phrases; Linguee collaborative dictionary and contextual sentences; Madura English-Sinhala Dictionary free English to Sinhala and vice versa; Multitran multilingual online dictionary centered on Russian, and provides an opportunity of adding own translation
An example of a set of equations written in conservation form are the Euler equations of fluid flow: + = + (+) = + ((+)) = Each of these represents the conservation of mass , momentum and energy , respectively.
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A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...
The ring of Eisenstein integers forms a Euclidean domain whose norm N is given by the square modulus, as above: (+) = +.A division algorithm, applied to any dividend α and divisor β ≠ 0, gives a quotient κ and a remainder ρ smaller than the divisor, satisfying:
Euler's laws of motion expressed scientific laws of Galileo and Newton in terms of points in reference frames and coordinate systems making them useful for calculation when the statement of a problem or example is slightly changed from the original. [3] Newton–Euler equations express the dynamics of a rigid body. Euler has been credited with ...