Page "Base (topology)" ¶ 4
from Wikipedia

## Some Related Sentences

Conversely and if
Conversely, if statistics were uncovered which contradicted a cherished theory, the sources were denounced as faulty.
Conversely, experimenters would consider as impressive such statements as the following, which, if they turned out to be hits, are so unusual as to be really significant:
Conversely, if he gives a heavy rating to his own reading, and finds more accurate facts in it than in the others, a point is chalked up for the intrinsic, objective meaningfulness of this type of mediumistic material.
Conversely, a subset R defines a binary function if and only if, for any x in X and y in Y, there exists a unique z in Z such that ( x, y, z ) belongs to R.
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 if you do have a better product suddenly you have these businesses that grow like topsy.
Conversely, if the second theory is correct, then the Athenians were merely reacting to the Persians attacking them.
Conversely the equilibrium position is said to be " far to the left " if hardly any product is formed from the reactants.
Conversely, negative chemotaxis occurs if the movement is in the opposite direction.
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, if the same is done with the left hand, a left-handed system results.
Conversely, if the amount of fat is increased, increasing the number of calories ingested will only add weight.
Conversely, if the source of waves is moving away from the observer, each wave is emitted from a position farther from the observer than the previous wave, so the arrival time between successive waves is increased, reducing the frequency.
Conversely every partition of comes from an equivalence relation in this way, according to which if and only if and belong to the same set of the partition.
If neither A nor B includes the idea of existence, then " some A are B " simply adjoins A to B. Conversely, if A or B do include the idea of existence in the way that " triangle " contains the idea " three angles equal to two right angles ", then " A exists " is automatically true, and we have an ontological proof of A's existence.
Conversely, if the measured potential is negative, the electrode is more oxidizing than the SHE ( such as Zn in ZnSO < sub > 4 </ sub > where the standard electrode potential is − 0. 76 V ).
Conversely, if the firm is able to get bulk discounts of an input, then it could have economies of scale in some range of output levels even if it has decreasing returns in production in that output range.
Conversely, if no advantage is gained from kicking the ball, play should continue.
Conversely, daylight stock shot in daylight will look normal, but orange if shot under tungsten lights.
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 and B
Conversely, off-centering of an undersized B cation within its octahedron allows it to attain a stable bonding pattern.
Conversely, the following characterization of derived functors holds: given a family of functors R < sup > i </ sup >: A → B, satisfying the above, i. e. mapping short exact sequences to long exact sequences, such that for every injective object I of A, R < sup > i </ sup >( I )= 0 for every positive i, then these functors are the right derived functors of R < sup > 0 </ sup >.
Conversely, an Earth-like planet at 0. 71 AUs from α Cen B ( with a revolution period of 0. 63 years ) would get Sun-like illumination from its primary, and α Cen A would appear 4. 6 to 7. 3 magnitudes dimmer (− 22. 1 to − 19. 4 ), 70 to 840 times dimmer than α Cen B but still 5700 to 470 times brighter than the full Moon.
Conversely, the first B. A Rock festival ( now promoted by Pinap magazine successor Revista Pelo ), had many of the artists and bands that would lead the Acoustic rock movement: Gustavo Santaolalla forming Arco Iris, León Gieco's rock-folk hybrid, Sui Generis and the start of Charly García's music career, Raul Porchetto, and Pedro y Pablo, among other bands.
Conversely, for GdCo magnets, B < sub > r </ sub > increases as temperature increases within certain temperature ranges.
* Conversely, if G has a BN pair of rank 1, then the action of G on the cosets of B is doubly transitive.
Conversely, if B ( t ) is a Brownian bridge and Z is a standard normal random variable, then the process
In this Division the teams played-off in order to get a promotion into Division A. Conversely, the two worst performing teams of Division A were relegated into Division B.
Conversely, Line B to the Gare du Nord and Line A towards Auber are both located on the south platform.

Conversely and satisfies
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, if ƒ: I → R is absolutely continuous and thus differentiable almost everywhere, and satisfies | ƒ ′( x )| ≤ K for almost all x in I, then ƒ is Lipschitz continuous with Lipschitz constant at most K.
Conversely, once a basis for A has been chosen, the products of basis elements can be set arbitrarily, and then extended in a unique way to a bilinear operator on A, i. e., so the resulting multiplication satisfies the algebra laws.
Conversely, if a highest weight module is integrable, then its highest weight vector v satisfies, where are complex numbers such that
Conversely, any sequence that satisfies a linear recurrence determines a rational function when used as the coefficients of a Taylor series.
which are linearly independent at each point q in U. Conversely, given such a coframe, there is a unique moving frame X < sub > 1 </ sub >, X < sub > 2 </ sub >, ..., X < sub > n </ sub > which is dual to it, i. e., satisfies the duality relation α < sup > i </ sup >( X < sub > j </ sub >) = δ < sup > i </ sup >< sub > j </ sub >, where δ < sup > i </ sup >< sub > j </ sub > is the Kronecker delta function on U.

Conversely and both
Conversely, British English favours fitted as the past tense of fit generally, whereas the preference of American English is more complex: AmEng prefers fitted for the metaphorical sense of having made an object " fit " ( i. e., suited ) for a purpose ; in spatial transitive contexts, AmEng uses fitted for the sense of having made an object conform to an unchanged object that it surrounds ( e. g., " fitted X around Y ") but fit for the sense of having made an object conform to an unchanged object that surrounds it ( e. g., " fit X into Y "); and for the spatial senses ( both intransitive and transitive ) of having been matching with respect to contour, with no alteration of either object implied, AmEng prefers fit (" The clothes fit.
Conversely in francophone Canada, one hundredth of a Canadian dollar is informally called a sou ( penny ), though cent is official in both English and French.
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, both owners of capital and labor profit in real terms from an increase in the capital endowment.
Conversely, of the 253 known stable nuclides, only five have both an odd number of protons and odd number of neutrons: hydrogen-2 ( deuterium ), lithium-6, boron-10, nitrogen-14, and tantalum-180m.
Conversely, the two sunniest months of the year ; both in winter-June and July, both receive an abundant daily average of 9. 0 hours of sunshine.
Conversely, in pinnate diatoms both gametes lack flagella ( isoogamous ).
Conversely, the remarkably accurate calculation of the earth's circumference by Eratosthenes, and the invention of a steam engine by Heron, both ascribed in chapter 60 to the priest Menes, historically occurred in Alexandrian Egypt, centuries after the period of the novel.
His cold demeanour is representative of what the sixteenth century thought to be a side-effect of political genius Conversely, Antony ’ s focus is on valour and chivalry, and Antony views the political power of victory as a by-product of both.
Conversely, studying surface of earth leads to an understanding of the atmosphere and climate of a planet — both its present state and its past.
Conversely, two of the most famous rock musicians from Ontario, Avril Lavigne and Alanis Morissette, are Franco-Ontarian by the second definition but not by the first, since they were born to Franco-Ontarian parents but currently work and live predominantly using the English language ( both currently have residences in Los Angeles ).
Conversely, the Battles of Plataea and Mycale were both fought from a relative position of Greek strength, and against lesser odds ; perhaps the Greeks were even expecting to win and had certainly seen the opportunity to deal the final blow.
Conversely, this could mean Anulo was " nepos " of both the senior Harald and the other King mentioned in the same phrase, Hemming.
" Conversely, in the positive sense, it would refer to " having it both ways " or " having the best of both worlds.
Conversely, David H. Rosenthal sees the development of hard bop as a response to both a perceived decline in bebop and the rise of rhythm and blues.
# Conversely, many older British Jews consider it more colloquial and " down-home " to say " Shobbes ", " cholla " and " motza ", though the vowel in these words is in fact a patach, which is rendered as in both Sephardi and Ashkenazi Hebrew.
Conversely, mastery of Rabbinic literature and Talmud could be found in both camps, as scholars were also attracted to Hasidic philosophy.
Conversely, a manual license will allow the driver to drive both manual and automatic vehicles.
Conversely, some of the Alliance party members who joined the Alliance via other parties decided to leave the Alliance and join the Green Party, notably Sue Bradford and Keith Locke, who both joined the Alliance via NewLabour.
Conversely, certain Jewish Christian sects, including the Cerinthians, recognized Mosaic law as both practicable and necessary.
Conversely, as the lid is closed one piece slides back, then both slide inward until the keyboard can be covered by the lid.
Conversely, Official Nintendo Magazines Tom East wrote that while Treecko is similar to Snivy due to both being " green reptiles ", " they look nothing like each other ".

0.256 seconds.