[permalink] [id link]
For example, symplectic topology — a subbranch of differential topology — studies global properties of symplectic manifolds.
from
Wikipedia
Some Related Sentences
For and example
For the family is the simplest example of just such a unit, composed of people, which gives us both some immunity from, and a way of dealing with, other people.
For example, suppose a man wearing a $200 watch, driving a 1959 Rolls Royce, stops to ask a man on the sidewalk, `` What time is it ''??
For example, there are persons who are in physical science, in the field of mineralogy, trained in crystallography, who use only X-rays, applying only the powder technique of X-ray diffraction, to clay minerals only, and who have spent the last fifteen years concentrating on the montmorillonites ; ;
For example, No. 56 printed the patent giving the Electoral Prince the title of Duke of Cambridge.
For example, he captured some persons from York County, who with teams were taking to Philadelphia the furniture of a man who had just been released from prison through the efforts of his wife, and who apparently was helpless to prevent the theft of his household goods.
For example, even the most successful executive lives in a two-room apartment while ordinary people rent space in the stairwells of office buildings in which to sleep at night ; ;
For example, in the third chapter of Matthew, verses 13-16, describing the baptism of Jesus, the 1611 version reads:
For example: 1.
For example, it probably will be necessary for the Corps to have authority to pay medical expenses of volunteers.
For example, the importance of the Regulus 2, a very promising aerodynamic ship-to-surface missile designed to be launched by surfaced submarines, was greatly diminished by the successful acceleration of the much more advanced Polaris ballistic missile launched by submerged submarines.
For example, the interest of past members of the Foundation's Advisory Board remains such that they place their knowledge and judgments at our disposal much as they had done when they were, formally, members of that Board.
For example, out of the social evils of the English industrial revolution came the novels of Charles Dickens ; ;
For example, a 12-to-one engine would power a supersonic VTOL fighter.
For example: Af.
For example: Af.
For example, for the problem Af, 10 from 25 equals 15, then 6 from 15 equals 9.
For example: Af.
For example, let's consider a standard 283 cubic inch Chevy Aj.
For an example let's dream up an engine that has a final combustion chamber volume of 5 cubic inches and a cylinder volume of 45 cubic inches.
For example, a Browning trap version of the Superposed over/under, the Broadway ( from $350 up, depending on grade ), differs from standard models in that it is equipped with a full beavertail fore end, a cushion recoil pad and a barrel-wide ventilated rib for fast sighting.
For example, the Chamber of Commerce of Gatlinburg, Tennessee, sponsors special camera tours into the Great Smoky Mountains to get pictures of the profusion of wild flowers flourishing in these wooded regions.
For example, the Friday after Thanksgiving can be substituted for Washington's birthday.
For example, the officials of Poughkeepsie town ( township ) where the project is located think highly of it because it simplifies their snow clearing problem.
For example, don't pay in a truck policy for medical coverage that you may be paying for in a health and accident policy.
For example: If your bodily injury claims start payment after the first $250, a 25% premium saving is often made.
For and symplectic
For example, ordinary differential equations and symplectic geometry are generally viewed as purely mathematical disciplines, whereas dynamical systems and Hamiltonian mechanics belong to mathematical physics.
For Sp ( 2 ), the group of 2 x 2 matrices with determinant 1, the three symplectic ( 0, 1 )- matrices are:
For every timestep, each particle's position and velocity may be integrated with a symplectic method such as Verlet.
For example, every symplectic manifold is even-dimensional and orientable.
For this reason, in this context, the symplectic structure is also called Poincaré invariant.
For example, let ( V, ω ) be a finite dimensional real symplectic vector space ( so ω is a nondegenerate skew symmetric bilinear form on V ).
For such applications one often uses the more elaborate relative GW invariants, which count curves with prescribed tangency conditions along a symplectic submanifold of X of real codimension two.
For compact symplectic four-manifolds, Clifford Taubes showed that a variant of the GW invariants ( see Taubes's Gromov invariant ) are equivalent to the Seiberg – Witten invariants.
For and topology
For instance, any continuous function defined on a compact space into an ordered set ( with the order topology ) such as the real line is bounded.
For example, the real line equipped with the discrete topology is closed and bounded but not compact, as the collection of all singleton points of the space is an open cover which admits no finite subcover.
: For computer network models, see network topology, packet generation model and channel model.
For a list of differential topology topics, see the following reference: List of differential geometry topics.
For Euler's formula in algebraic topology and polyhedral combinatorics see Euler characteristic.
For other examples of quotient objects, see quotient ring, quotient space ( linear algebra ), quotient space ( topology ), and quotient set.
For instance, an active area of research in differential topology concerns itself with the ways one can " smooth " higher dimensional figures.
For measure spaces that are also topological spaces various compatibility conditions can be placed for the measure and the topology.
For instance, genes create an abstract information framework within which multicellular organisms may modify the topology of the epigenetic information state space in order to adapt and subsequently evolve.
For compact space | compact 2-dimensional surfaces without boundary ( topology ) | boundary, if every loop can be continuously tightened to a point, then the surface is topologically Homeomorphism | homeomorphic to a 2-sphere ( usually just called a sphere ).
For example, the real line is Tychonoff under the standard Euclidean topology.
For concreteness, one may consider the Cartesian product in Set, the direct product in Grp, or the product topology in Top.
For given test functions, the relevant notion of convergence only corresponds to the topology used in C.
For example, the strong operator topology on L ( X, Y ) is the topology of pointwise convergence.
For instance, if Y is a normed space, then this topology is defined by the seminorms indexed by x ∈ X:
For f ∈ R, define D < sub > f </ sub > to be the set of ideals of R not containing f. Then each D < sub > f </ sub > is an open subset of Spec ( R ), and is a basis for the Zariski topology.
For his undergraduate thesis he developed an intuitionist foundation for topology.
For example, the product of the unit circle ( with its usual topology ) and the real line with the discrete topology is a locally compact group with the product topology and Haar measure on this group is not inner regular for the closed subset
For example, the original twisted pair Ethernet using repeater hubs was a logical bus topology with a physical star topology layout.
0.229 seconds.