Page "Symmetry group" ¶ 42
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## Some Related Sentences

Conversely and symmetry
Conversely, through symmetry, from the reference frame of the ladder it is the garage that is moving with a relative velocity and so it is the garage that undergoes a length contraction.
Conversely, each conserved quantity has a corresponding symmetry.

Conversely and can
Conversely, if a Boolean ring A is given, we can turn it into a Boolean algebra by defining x ∨ y := x + y + ( x · y ) and x ∧ y := x · y.
Conversely, in the English language as a whole, singular verb forms can often be used with nouns ending in "- s " that were once considered plural ( for example: " Physics is my favorite academic subject ").
Conversely, every point on the line can be interpreted as a number in an ordered continuum which includes the real numbers.
Conversely, existing DSN antennas can split time among more missions.
Conversely, non-spontaneous electrochemical reactions can be driven forward by the application of a current at sufficient voltage.
Conversely, badly managed food aid can create problems by disrupting local markets, depressing crop prices, and discouraging food production.
Conversely any planar graph can be formed from a map in this way.
Conversely, if the data are sparse — that is, if only K out of N Fourier coefficients are nonzero — then the complexity can be reduced to O ( K log N log ( N / K )), and this has been demonstrated to lead to practical speedups compared to an ordinary FFT for N / K > 32 in a large-N example ( N = 2 < sup > 22 </ sup >) using a probabilistic approximate algorithm ( which estimates the largest K coefficients to several decimal places ).
Conversely, when one wants to compute an arbitrary number ( N ) of discrete samples of one cycle of a continuous DTFT, it can be done by computing the relatively simple DFT of s < sub > N </ sub >, as defined above.
Conversely, rifle bullets can pierce light armor and are easier to shoot accurately, but even a carbine such as the Colt M4 is larger and / or longer than a submachine gun, making it harder to maneuver in close quarters.
Conversely, one might expect that inertial motions, once identified by observing the actual motions of bodies and making allowances for the external forces ( such as electromagnetism or friction ), can be used to define the geometry of space, as well as a time coordinate.
Conversely, languages that grammaticalise aspect can have tense as a secondary use of an aspect.
Conversely, a high pH, low CO < sub > 2 </ sub >, or low 2, 3 BPG favors the relaxed form which can better bind oxygen.
Conversely, a very severe bit, in the right hands, can transmit subtle commands that cause no pain to the horse.
Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.
Conversely, every formally real field can be equipped with a compatible total order, that will turn it into an ordered field.
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 we have a b if and only if a < b or a ~ b. This is the reason for using the notation ""; "≤" can be confusing for a preorder that is not anti-symmetric, it may suggest that a ≤ b implies that a < b or a
Conversely, the interior of the box has a constant, zero potential energy .< ref > Actually, any constant, finite potential can be specified within the box.
Conversely, though every president from Washington to John Quincy Adams can be definitely assigned membership in an Anglican or Unitarian body, the significance of these affiliations is often downplayed as unrepresentative of their true beliefs.
Conversely, extremely thin jewelry can cause the same tearing in what is commonly referred to as the " cheese cutter effect ", either during sudden torsion or over a long period of wearing, especially if the thin jewelry bears any weight.
Conversely, water deep in the ocean near geothermal vents can reach temperatures of hundreds of degrees and remain liquid.
Conversely, AES is sensitive to the lighter elements, and unlike X-ray fluorescence, Auger peaks can be detected for elements as light as lithium ( Z = 3 ).

Conversely and define
Conversely, given a groupoid G in the algebraic sense, let G < sub > 0 </ sub > be the set of all elements of the form x * x < sup >− 1 </ sup > with x varying through G and define G ( x * x < sup >-1 </ sup >, y * y < sup >-1 </ sup >) as the set of all elements f such that y * y < sup >-1 </ sup > * f * x * x < sup >-1 </ sup > exists.
We define Thm ( C ) to be the set of all formulas that are valid in C. Conversely, if X is a set of formulas, let Mod ( X ) be the class of all frames which validate every formula from X.
Conversely one may legally be an adult but possess none of the maturity and responsibility that may define adult character.
Conversely, given a Boolean ring R, we define the join operation by a ' b = a + b + ab, and the meet operation as multiplication.
Conversely, given a configuration of a conic and six lines which tangent to it in the plane, we may define the double cover of the plane ramified over the union of these 6 lines.
Conversely, Western sources erroneously define the " Persian " " ethnicity " as basically anyone living in Iran who does not claim a secondary regional linguistic identity.
Conversely, given any element u ∈ F ( A ) we may define a natural transformation Φ: Hom ( A ,–) → F via
Conversely, for any semigroup action of on, define a transformation semigroup.
is a volume form on M. Conversely, given two volume forms, their ratio is a non-vanishing function ( positive if they define the same orientation, negative if they define opposite orientations ).
Conversely, one could define a potential corresponding to pH as a potential difference between a solute and pH neutral water, separated by porous membrane ( that is permeable to hydrogen ions ).

Conversely and structure
Conversely a large cargo, for example in structure relocation, may be disassembled for carriage on multiple vehicles and then reassembled in the correct order at the destination.
Conversely, a wing dam is a structure that only partly restricts a waterway, creating a faster channel that resists the accumulation of sediment.
Conversely, many polymers ( notably flexible vinyl ) are intentionally swelled with plasticizers, which can be leached out of the structure, causing brittleness or other undesirable changes.
Conversely, the sequence of an ancient gene for a given structure may have diverged considerably in different species while at the same time maintaining the same basic structural features.
Conversely, given a Hopf algebra whose coalgebra structure is given above, we can recover a formal group law F from it.
Conversely, one of the characteristics of mental illness is a distorted value structure ; the neurotic does not value things according to their objective merit, in relation to his nature and needs ; he frequently values the very things that will lead him to self-destruction.
Conversely, every incidence structure can be viewed as a hypergraph.
Conversely, all later attempts at land reform by legal means, starting with the 1960s organization of peasant leagues ( Ligas Camponesas ) in Northeastern Brazil which opposed mostly eviction of peasants from rented plots and transformation of plantations into cattle ranches, would be nationally directed by a tendency to counter the existing landed property structure by means of a more rational appeal to the allegedly social function of property.
Conversely, the basic structure of a transitive Japanese sentence is SOV, with the usual syntactic features associated with languages of this typology, including postpositions, that is, grammar particles that appear after the words and phrases to which they apply.
Conversely any bipartite graph with girth at least six can be viewed as the Levi graph of an abstract incidence structure.
Conversely, if the defeasance provisions allow borrowers to provide the actual defeasance collateral to lenders and do not require defeasance deposits, the borrowers ’ defeasance consultant will be able to structure an optimized securities portfolio and hold a competitive auction to ensure best pricing.
Conversely, given an SL ( n )- structure, one can recover a volume form by imposing () for the special linear frames and then solving for the required n-form ω by requiring homogeneity in its arguments.

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