$#C+1 = 43 : ~/encyclopedia/old_files/data/F040/F.0400660 Flow in a network
...aph]] (directed graph). Each number is interpreted as the intensity of the flow along the given arc. Flows in a network form a convenient model in the stud
7 KB (1,074 words) - 20:15, 15 March 2023
...erentiation along the flow of a dynamical system|Differentiation along the flow of a dynamical system]]) at each point of the smooth curve does not vanish,
2 KB (281 words) - 18:48, 5 April 2020
...ction of the flow $\{S_t\}$ to $W^{2n-1}$. In local coordinates a geodesic flow is described by a system of ordinary second-order differential equations, w
...ance with the [[Maupertuis principle|Maupertuis principle]], to a geodesic flow.
3 KB (493 words) - 16:13, 20 September 2014
...nt character, which leads to the concept of a [[Continuous flow|continuous flow]]. Measurable flows are used in [[Ergodic theory|ergodic theory]].
956 bytes (174 words) - 16:21, 19 August 2014
...e continuity equation gives the law $\rho S\mathbf v=\text{const}$ for the flow.
1 KB (175 words) - 12:28, 30 December 2018
...quanta) transport. It is based on the concept of the density of a neutron flow (an unknown function of the coordinates of the inspected point and of the c
See also [[Neutron flow theory|Neutron flow theory]]; [[Transport equations, numerical methods|Transport equations, num
2 KB (336 words) - 17:10, 7 February 2011
...erentiation along the flow of a dynamical system|Differentiation along the flow of a dynamical system]]) satisfies $\dot v>0$.
2 KB (299 words) - 15:31, 14 February 2020
...an be calculated in terms of the fixed points of the classical Hamiltonian flow associated to $H$ (provided that it has only isolated fixed points, see bel
...mula above is proved under the assumption that, on the support of $A$, the flow $f _ { t }$ has only isolated fixed points, denoted by $x _ { 1 } , \ldots
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...lly closed) for which the concept of a horocycle is defined; the horocycle flow describes the movement of the bihedra along the horocycles which they defin
...the horocycle obtained there into $M^n$). Under the action of a horocycle flow, the bihedron $(x,e_1,e_2)$ during time $t$ passes to
5 KB (757 words) - 14:32, 17 July 2014
Cf. also [[Nil flow|Nil flow]] and the references quoted there.
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A term from [[Scheduling theory|scheduling theory]] (flow shop problems). The makespan is the completion time of the last job. For ge
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be a [[Measurable flow|measurable flow]] on a measure space $ ( E , \mu ) $.
associated with the flow $ \Phi $
6 KB (838 words) - 14:32, 7 June 2020
A [[Flow (continuous-time dynamical system)|flow (continuous-time dynamical system)]] given by the gradient of a smooth func
2 KB (250 words) - 10:12, 24 August 2014
...ce of this decrease has been studied in mathematical models of equilibrium flow in road/rail traffic, computer networks, telephone networks, water supply s
...rence of Braess's paradox in a classical model of user equilibrium traffic flow is given.
6 KB (983 words) - 17:44, 1 July 2020
$#C+1 = 44 : ~/encyclopedia/old_files/data/G043/G.0403350 Gas flow theory,
...the obstacle while forming a zone of stagnation behind it. Problems in gas flow theory are solved on the assumption that the gas is barotropic and that its
8 KB (1,194 words) - 19:41, 5 June 2020
...ystems (cf. (measurable) [[Cascade|Cascade]]; [[Measurable flow|Measurable flow]]). In that case the transformation is first obtained as a continuous (or s
2 KB (260 words) - 08:00, 6 June 2020
...Cascade|cascade]] $\{T^k\}$ or a [[Flow (continuous-time dynamical system)|flow (continuous-time dynamical system)]] $\{T_t\}$ with a finite [[Invariant me
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is a given function (the profile of the velocity of the undisturbed flow) which is usually taken to be holomorphic in a neighbourhood of the segment
...ing the stability in a linear approximation of a plane Poiseuille flow — a flow of a viscous incompressible liquid in a tube $ - \infty < x < \infty $,
6 KB (863 words) - 20:36, 16 January 2024
The assertions in the last section can be derived from the maximum-flow-minimum-cut theorem of L. Ford and D. Fulkerson (see [[#References|[2]]]).
The maximum-flow-minimum-cut theorem, or the Ford–Fulkerson theorem, deals with a directed
7 KB (1,143 words) - 07:00, 6 July 2023
...condition for the local structural stability of a periodic trajectory of a flow: Only one multiplier (cf. [[Multipliers|Multipliers]]) of the variational e
3 KB (433 words) - 12:20, 26 July 2014