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Page "Conservative vector field" ¶ 6
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If and is
If the circumstances are faced frankly it is not reasonable to expect this to be true.
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.
If they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;
If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.
If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.
If it is an honest feeling, then why should she not yield to it??
If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
If he is good, he may not be legal ; ;
If the man on the sidewalk is surprised at this question, it has served as an exclamation.
If the existent form is to be retained new factors that reinforce it must be introduced into the situation.
If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??
If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.
If he is a traditionalist, he is an eclectic traditionalist.
If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.
If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If and conservative
If anything, the conservative Democrats were more opposed to Hearst than the Republicans.
If the work done moving along a path which starts and ends in the same location is zero, then the force is said to be conservative and it is possible to define a numerical value of potential associated with every point in space.
Wender and Klein point out that pessimism can be useful in some circumstances: " If one is subject to a series of defeats, it pays to adopt a conservative game plan of sitting back and waiting and letting others take the risks.
If a force is conservative, it is possible to assign a numerical value for the potential at any point.
If the force is not conservative, then defining a scalar potential is not possible, because taking different paths would lead to conflicting potential differences between the start and end points.
If a rider wishes to stay within normal requirements for higher-level competition, breeches should be white, but beige or another conservative light color is permissible.
If you say something that someone already agrees with, then what's the point, and so we make some more conservative animal protection organizations uncomfortable ; they don't want to be associated with us because it will be embarrassing for them, and I understand that.
If liberals are to understand how conservatives use their words, they will have to understand the conservative conceptual system.
Zinn regularly included it in his lists of recommended readings, and after Barack Obama was elected President of the United States, Zinn wrote, " If Richard Hofstadter were adding to his book The American Political Tradition, in which he found both ' conservative ' and ' liberal ' presidents, both Democrats and Republicans, maintaining for dear life the two critical characteristics of the American system, nationalism and capitalism, Obama would fit the pattern.
If the system is conservative ( i. e. there is no dissipation ), a volume element of the phase space will stay the same along a trajectory.
If conservative medical treatments fail to achieve a full term pregnancy, the physician may suggest the patient undergo in vitro fertilization ( IVF ).
If you go down the list of what makes up a conservative, I'm there almost all the way.
After her proposed bill failed, Short accused the House's predominantly conservative male MPs of not taking the issue seriously, remarking, " If you mention breasts, fifty Tory MPs all giggle and fall over.
If usage preferences are conservative, prescription might ( appear to ) be resistant to language change ; if the usage preferences are radical, prescription may produce neologisms.
In addition to Fame Becomes Me, some of the titles Short has used for his one-man show include Stroke Me Lady Fame, If I'd Saved, I Wouldn't Be Here, and, in more conservative markets, Sunday in the Park with George Michael.
If he still kept some of the old vocabulary, some of the old imagery, he was yet accustoming people to hear moving subjects treated in a manner more free and simple than before ; so that his was a sort of conservative reform, preceding the violent revolution of Victor Hugo and his army of uncompromising romantics.
If two candidates appeal to liberals, but only one appeals to conservatives, the votes of liberals will likely split between the two liberal candidates, for example 25 % may vote for one and 30 % for the other, giving the conservative the office although 55 % preferred to see a liberal in the office.
Over a dozen members of the conservative wing of the RNC submitted a new resolution, to be eventually voted on by the entire RNC, that would call on the Democratic party to rename itself the “ Democrat Socialist Party .” If the RNC adopted this resolution, the RNC ’ s official view would become that Democrats are socialists.
If you want to call me a single-issue candidate, that's fine, just so long as you know that my single issue is the survival and the success of the conservative movement in America.
If the vector field associated to a force is conservative then the force is said to be a conservative force.
If F is a conservative vector field ( also called irrotational, curl-free, or potential ), and its components have continuous partial derivatives, the potential of F with respect to a reference point is defined in terms of the line integral:
In Bremer's diary were comments such as " My country tis of thee land of sweet bigotry ," " Never say colored, say Negro, so here is a negro card ," " My blood is black ," " Cheer up Oswald ," " White collar, conservative, middle class, Republican, suburbanite robot ," " A Thundering of hooves and out of the western sky came the colored man ," and " If I live tomorrow then it will be a long time.
" If the counterculture was a shift from conservatism to liberalism, then square was what liberal people called conservative people and things.

If and vector
If T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.
If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.
If the rake angle **yc of the knife is high enough and the friction angle **yt between the front of the knife and the back of the chip is low enough to give a positive value for Af, the resultant vector R will lie above the plane of the substrate.
If T is the total `` length '' of the process, its feed state may be denoted by a vector p(T) and the product state by p(Q).
If the same state vector appears on both bra and ket side,
If the vector field represents the flow velocity of a moving fluid, then the curl is the circulation density of the fluid.
If is any unit vector, the projection of the curl of F onto is defined to be the limiting value of a closed line integral in a plane orthogonal to as the path used in the integral becomes infinitesimally close to the point, divided by the area enclosed.
If is an outward pointing in-plane normal, whereas is the unit vector perpendicular to the plane ( see caption at right ), then the orientation of C is chosen so that a tangent vector to C is positively oriented if and only if forms a positively oriented basis for R < sup > 3 </ sup > ( right-hand rule ).
If φ is a scalar valued function and F is a vector field, then
If is a convex set, for any in, and any nonnegative numbers such that, then the vector
If the coordinates represent spatial positions ( displacements ), it is common to represent the vector from the origin to the point of interest as.
If the earlier completion procedure is applied to a normed vector space, the result is a Banach space containing the original space as a dense subspace, and if it is applied to an inner product space, the result is a Hilbert space containing the original space as a dense subspace.
If a vector field F with zero divergence is defined on a ball in R < sup > 3 </ sup >, then there exists some vector field G on the ball with F = curl ( G ).
If T is a ( p, q )- tensor ( p for the contravariant vector and q for the covariant one ), then we define the divergence of T to be the ( p, q − 1 )- tensor
If the source is located at an arbitrary source point, denoted by the vector and the field point is located at the point, then we may represent the scalar Green's function ( for arbitrary source location ) as:
If is defined as the unitary DFT of the vector then
If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.
If y is a point where the vector field v ( y ) ≠ 0, then there is a change of coordinates for a region around y where the vector field becomes a series of parallel vectors of the same magnitude.
If the next time the orbit loops around phase space in a different way, then it is impossible to rectify the vector field in the whole series of patches.
Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.
Tensor products: If C denotes the category of vector spaces over a fixed field, with linear maps as morphisms, then the tensor product defines a functor C × C → C which is covariant in both arguments.
If the object is a vector space we have a linear representation.

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