integrate multiply - translation to ρωσικά
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integrate multiply - translation to ρωσικά

LORENTZIAN MANIFOLD THAT DOES NOT CONTAIN A CLOSED TIMELIKE CURVE
Timelike multiply connected

integrate multiply      

общая лексика

интегрировать многократно

multiple integration         
  • Integral as area between two curves.
  • Cylindrical coordinates.
  • Example of domain in '''R'''<sup>3</sup> that is normal with respect to the ''xy''-plane.
  • Example of an improper domain.
  • Example: double integral over the normal region ''D''
  • Example of a domain transformation from cartesian to polar.
  • Transformation from cartesian to polar coordinates.
  • Spherical coordinates.
  •  domain]]'' of integration, while the '''surface''' is the graph of the two-variable function to be integrated.
INTEGRAL OVER A MULTI-DIMENSIONAL REGION OF A FUNCTION OF SEVERAL VARIABLES
Double integral; Triple integral; Multiple integrals; Triple integrals; Formulas of reduction; Reduction's formulas; Double integration; Double Integral; Double Integration; Area integral; Riemann multiple integral; ∬; ∭; Double integrals; Multiple integration; Quadruple integral; ⨌; ∫∫f(x,y)dxdy

общая лексика

многократное интегрирование

multiplication sign         
MATHEMATICAL SYMBOL
Multiplication symbol; ✖; ×; Multiply sign; Times sign; Times symbol; Times (glyph); Multiplication x; ⊠; ⨉; U+00D7; Times (symbol)

математика

знак умножения

Ορισμός

Integration
·noun The act or process of making whole or entire.
II. Integration ·noun The operation of finding the primitive function which has a given function for its differential coefficient. ·see Integral.
III. Integration ·noun In the theory of evolution: The process by which the manifold is compacted into the relatively simple and permanent. It is supposed to alternate with differentiation as an agent in development.

Βικιπαίδεια

Timelike simply connected

Suppose a Lorentzian manifold contains a closed timelike curve (CTC). No CTC can be continuously deformed as a CTC (is timelike homotopic) to a point, as that point would not be causally well behaved. Therefore, any Lorentzian manifold containing a CTC is said to be timelike multiply connected. A Lorentzian manifold that does not contain a CTC is said to be timelike simply connected.

Any Lorentzian manifold which is timelike multiply connected has a diffeomorphic universal covering space which is timelike simply connected. For instance, a three-sphere with a Lorentzian metric is timelike multiply connected, (because any compact Lorentzian manifold contains a CTC), but has a diffeomorphic universal covering space which contains no CTC (and is therefore not compact). By contrast, a three-sphere with the standard metric is simply connected, and is therefore its own universal cover.

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