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Vector bundles are almost always required to be locally trivial, however, which means they are examples of fiber bundles.
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Vector and bundles
For instance, Vector bundles always have a zero section whether they are trivial or not and sphere bundles may admit many global sections without being trivial.
Professor Hector ( Player 1 ) and Professor Vector ( Player 2 ) must collect all of the bundles of dynamite in each of 40 successive levels.
# Vector bundles: In a manner similar to the previous examples the projections ( p: V → S ) of real ( complex ) vector bundles to their base spaces form a category Vect < sub > R </ sub > ( Vect < sub > C </ sub >) over Top ( morphisms of vector bundles respecting the vector space structure of the fibres ).
Vector and are
The most widely used learning algorithms are Support Vector Machines, linear regression, logistic regression, naive Bayes, linear discriminant analysis, decision trees, k-nearest neighbor algorithm, and Neural Networks ( Multilayer perceptron ).
Examples of software packages that handle plasmid maps are pDraw32, Geneious, Lasergene, GeneConstructionKit, ApE, Clone Manager, and Vector NTI.
Vector graphics is the use of geometrical primitives such as points, lines, curves, and shapes or polygon ( s ), which are all based on mathematical expressions, to represent images in computer graphics.
Vector graphics systems were only retired from U. S. en route air traffic control in 1999, and are likely still in use in military and specialised systems.
Vector graphics are ideal for simple or composite drawings that need to be device-independent, or do not need to achieve photo-realism.
Vector calculus studies various differential operators defined on scalar or vector fields, which are typically expressed in terms of the del operator ().
What share had it in generating the Vector Analysis and the mathematics by which investigations in physical science are now conducted?
The routing protocols in use today are based on one of two algorithms: Distance Vector or Link State.
Vector graphics editors are often contrasted with raster graphics editors, yet their capabilities complement each other.
Vector editors are often contrasted with bitmap editors, and their capabilities complement each other.
Vector editors are often better for page layout, typography, logos, sharp-edged artistic illustrations ( e. g. cartoons, clip art, complex geometric patterns ), technical illustrations, diagramming and flowcharting.
Vector editors are closely related to desktop publishing software such as Adobe InDesign or Scribus, which also usually include some vector drawing tools ( usually less powerful than those in standalone vector editors ).
By default, only total delay and minimum bandwidth are considered when EIGRP is started on a router, but an administrator can enable or disable all the K values as needed to consider the other Vector metrics.
Common examples include VIS, MMX, SSE, AltiVec and AVE. Vector processing techniques are also found in video game console hardware and graphics accelerators.
Vector processing techniques have since been added to almost all modern CPU designs, although they are typically referred to as SIMD.
Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.
Vector fields are often discussed on open subsets of Euclidean space, but also make sense on other subsets such as surfaces, where they associate an arrow tangent to the surface at each point ( a tangent vector ).
Vector fields are thus contrasted with scalar fields, which associate a number or scalar to every point in space, and are also contrasted with simple lists of scalar fields, which do not transform under coordinate changes.
Vector magnetometers are subject to temperature drift and the dimensional instability of the ferrite cores.
Vector and almost
Using the Oracle to feed Primal a false vision, Rhinox tricked Primal and Megatron into unleashing the powers of the Plasma Energy Chamber and the Key to Vector Sigma respectively, almost destroying the planet.
Vector and always
Vector operators must always come right before the scalar field or vector field on which they operate, in order to produce a result.
Galvatron, however, was not yet defeated, and during his final one-on-one duel with Prime, Vector Prime appeared before Optimus once again to assure him that he would always watch over him, and bestowed upon him a gift – Rhisling, with which Optimus Prime defeated and destroyed Galvatron once and for all.
In the montage of images that fill the closing credits of the final episode, Vector Prime is seen beyond time, battling the spirit of Galvatron, a symbol that the conflict between good and evil will always go on.
Although Vector Prime may die in one incarnation, as long as time exists, these copies will exist, and Vector Prime will always be there to continue in his to watch over all of creation.
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