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Conversely, a connection on E determines a connection on F ( E ), and these two constructions are mutually inverse.
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Conversely and connection
That is, the motivational internalist believes that there is an internal, necessary connection between one's conviction that X ought to be done and one's motivation to do X. Conversely, the motivational externalist ( or moral externalist ) claims that there is no necessary, internal connection between moral convictions and moral motives.
Conversely, using the last line as a definition one shows that the expression so defined is a connection compatible with the metric, i. e. is a Levi-Civita connection.
Conversely, if a suitable notion of parallel transport is available, then a corresponding connection can be obtained by differentiation.
Conversely, any operator satisfying the above properties defines a connection on E and a connection in this sense is also known as a covariant derivative on E.
Conversely, if ∇ is a connection on E and A is a one-form on M with values in End ( E ), then ∇+ A is a connection on E.
The principal connection α on Q can be recovered from the form η by taking Q to be the associated bundle P ×< sub > H </ sub > G. Conversely, the form η can be recovered from α by pulling back along the inclusion P ⊂ Q.
Conversely, an Ehresmann connection H ⊂ TP ( or v: TP → V ) on P defines a principal G-connection ω if and only if it is G-equivariant in the sense that.
A section Γ of dπ: TP / G → TM such that Γ: TM → TP / G is a linear morphism of vector bundles over M, can be identified with a principal connection in P. Conversely, a principal connection as defined above gives rise to such a section Γ of TP / G.
Conversely, the Roman connection introduced foreign influence beyond the control of local rulers, but also allowed rulers to display themselves on a wider, European stage, and to seek out more powerful sources of legitimacy.
where it is understood that d and ω refer to the exterior derivative and a matrix of 1-forms, respectively, acting on the components of ξ. Conversely, a matrix of 1-forms ω is a priori sufficient to completely determine the connection locally on the open set over which the basis of sections e is defined.
Conversely, it has also been said that the connection between virtual crimes and real crimes are " tenuous at best: It is the link between a brutal rape and a fictional story of a brutal rape.
Conversely and on
Conversely, a standard line on which voice service has been unsubscribed ( such as an ADSL dry loop ) may still accept calls to the 958 test exchange but not allow calls to standard numbers.
Conversely, paintings which came out of his workshop that were not necessarily physically worked on by Cuyp but merely overseen by him technically, were marked with A. C. to show that it was his instruction which saw the paintings ’ completion.
Conversely, modern biological sciences ( including even concepts such as molecular ecology ) are intimately entwined and dependent on the methods developed through biotechnology and what is commonly thought of as the life sciences industry.
Conversely, Fleet Captain Honoré Ganteaume later reported the cause as an explosion on the quarterdeck, preceded by a series of minor fires on the main deck among the ship's boats.
* The spectrum of any bounded linear operator on a Banach space is a nonempty compact subset of the complex numbers C. Conversely, any compact subset of C arises in this manner, as the spectrum of some bounded linear operator.
Conversely, if ƒ: C → C is a function which is differentiable when regarded as a function on R < sup > 2 </ sup >, then ƒ is complex differentiable if and only if the Cauchy – Riemann equations hold.
Conversely the car is stopped by releasing pressure on the cable ( with or without completely detaching ) and applying the brakes.
Conversely, every point on the line can be interpreted as a number in an ordered continuum which includes the real numbers.
Conversely, there are other stars that never rise above the horizon, as seen from any given point on the Earth's surface ( except exactly on the equator ).
Conversely, any surjection between sets determines a partition on its domain, the set of preimages of singletons in the codomain.
Conversely, Derek Bickerton and others argue that the advent of abstract words provided a mental basis for analyzing higher-order relations, and that any communication system that remotely resembles human language utterly relies on cognitive architecture that co-evolved alongside language.
" Conversely, Pat Graham of Chicago Reader disliked the mix of horror and comedy, writing in his review that " The pop-up humor and smirkiness suggest Raimi's aspiring to the fashionable company of the brothers Coen, though on the basis of this strained effort I'd say he's overshot the mark.
Conversely, in functional code, the output value of a function depends only on the arguments that are input to the function, so calling a function f twice with the same value for an argument x will produce the same result f ( x ) both times.
Conversely, the blood vessels in the lower legs are under great pressure ( because of the weight of fluid pressing down on them ).
Conversely on occasions he attracted criticism for dogmatically pursuing schemes favoured by the right of his party, notably the privatisation of British Rail, and for closing down most of the coal industry in advance of privatisation.
Conversely, some areas which were merely roadside suburbs in the 1950s are now valuable urban land on which original structures are being removed through gentrification and the land used for other purposes.
Conversely, the cultural divergence at the border became sharper: in theory, a uniform French identity extends from the Atlantic coast to the Rhine, and on the other bank of the Rhine, a uniform German identity begins.
Conversely, the gravity of the satellite on the bulges applies torque on the primary and speeds up its rotation.
Conversely, if the odds of drawing a winning card are numerically lower than the pot odds, the call has a negative expectation, and you can expect to win less money on average than it costs to call the bet.
Conversely, from a partial order on a partition of a set S one can construct a preorder on S. There is a 1-to-1 correspondence between preorders and pairs ( partition, partial order ).
Conversely and E
A hypergraph H may be represented by a bipartite graph BG as follows: the sets X and E are the partitions of BG, and ( x < sub > 1 </ sub >, e < sub > 1 </ sub >) are connected with an edge if and only if vertex x < sub > 1 </ sub > is contained in edge e < sub > 1 </ sub > in H. Conversely, any bipartite graph with fixed parts and no unconnected nodes in the second part represents some hypergraph in the manner described above.
Conversely, a function u: E < sub > 1 </ sub > → E < sub > 2 </ sub > defined on a basis of E < sub > 1 </ sub > can be uniquely extended to a linear function.
* Conversely, if is such that and are purely inseparable extensions, then E is purely inseparable over F.
Conversely, during the same dispute, the late E. Pierce Marshall sided with his father, Charles Koch and David Koch.
Conversely, some fannish terms have been made obsolete by changes in technology ( the decline of the mimeograph has doomed corflu for " correction fluid "), cultural changes ( a femmefan fan is no longer unusual ) or the mere passage of time ( slan shack for " a house where a bunch of fans live together " has faded, since fewer young fans have read Slan by A. E. van Vogt ).
Conversely and determines
Conversely, mapping the data flow between the components determines the logical topology of the network.
Conversely, a normal subgroup of index p determines a non-trivial map to up to a choice of " which coset maps to which shows that this map is a bijection.
Conversely, minimal compliance with a safety statute does not always absolve a defendant if the trier of fact determines that the reasonable person should have taken actions beyond and in excess of what the statute required.
Conversely, any sequence that satisfies a linear recurrence determines a rational function when used as the coefficients of a Taylor series.
Any point x gives rise to a continuous function p < sub > x </ sub > from the one element topological space 1 ( all subsets of which are open ) to the space X by defining p < sub > x </ sub >( 1 ) = x. Conversely, any function from 1 to X clearly determines one point: the element that it " points " to.
produces a unique composition of n. Conversely, every composition of n determines an assignment of pluses and commas.
Conversely, a decomposition with these extra properties determines an involution on that is on and on.
Conversely, when local politics determines that it is no longer a crime, they may be decriminalized.
Conversely, the density determines the wave function modulo a phase factor, providing the formal foundation of density functional theory.