Help


[permalink] [id link]
+
Page "Sperner's lemma" ¶ 12
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

We and consider
We consider a rural community as an assemblage of inhabited dwellings whose configuration is determined by the location and size of the arable land sites necessary for family subsistence.
We consider now the graph of the function f{t} on Af.
We again consider a fixed point P at Af and a variable point Q at Af on C.
We consider here only a few of many problems involved in this crucial federal-state relationship.
We shall consider these in the inverse order of their presentation.
We shall not be able entirely to pass over these connections to the East as we consider Ripe Geometric pottery, the epic and the myth, and the religious evolution of early Greece ; ;
We cannot consider ourselves educated if we do not read ; ;
We now consider how the choice of description language affects the value of K, and show that the effect of changing the description language is bounded.
Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.
We consider two different experiments:
We consider the origin of the traditions to be Nordic, and even more to be polar, since this is expressly affirmed in the Veda as well as in other sacred books .”
Here, we are told, ' We need to go beyond the pleasure principle, the reality principle, and repetition compulsion to ... the fantasy principle ' - ' not, as Freud did, reduce fantasies to wishes ... consider all other imaginable emotions '; and thus envisage emotional fantasies as a possible means of moving beyond stereotypes to more nuanced forms of personal and social relating.
We will consider to be an inherent fixed property of our communications channel ( representing the nature of the noise of our channel ).
We will now consider the purportedly “ positive argument ” for design encompassed in the phrase used numerous times by Professors Behe and Minnich throughout their expert testimony, which is the “ purposeful arrangement of parts .” Professor Behe summarized the argument as follows: We infer design when we see parts that appear to be arranged for a purpose.
* We believe that the decision as to whether to be open about one's sexual orientation should be left to such individuals, who should consider their own needs and those of the community.
Alex Gilady, an Israeli IOC official, told the BBC: " We must consider what this could do to other members of the delegations that are hostile to Israel.
We consider P, or the negation of P, in addition to S ; if this leads to a logical contradiction F, then we can conclude that the statements in S lead to the negation of P, or P itself, respectively.
* Fluid and solid character are relevant at long times :</ br > We consider the application of a constant stress ( a so-called creep experiment ):
* By contrast, elastic and viscous ( or intermediate, viscoelastic ) behaviour is relevant at short times ( transient behaviour ):</ br > We again consider the application of a constant stress:
John Stuart Mill's distinction between higher and lower pleasures might suggest that he gave more status to humans but in The Methods of Ethics Sidgwick says " We have next to consider who the " all " are, whose happiness is to be taken into account.
Ptolemy ( c. AD 90 – c. AD 168 ) stated " We consider it a good principle to explain the phenomena by the simplest hypothesis possible ",.
We will consider different values of.
We consider it almost obvious today.
Instead it was claimed Raeder was opposed to war with the United States and had always worked to protect neurtal shipping during the war with the committee having Raeder say: " We had to consider neutrals to avoid any possible unfortunate incidents " at sea.

We and triangulation
Charles Clarke, a former UK home secretary and the first senior " Blairite " to attack UK Prime Minister Brown openly and in print, stated " We should discard the techniques of ' triangulation ' and ' dividing lines ' with the Conservatives, which lead to the not entirely unjustified charge that we simply follow proposals from the Conservatives or the right-wing media, to minimise differences and remove lines of attack against us.
Precisely, let T be a triangulation of an n-manifold M. Let S be a simplex of T. We denote the dual cell ( to be defined precisely ) corresponding to S by DS.

We and T
We are trying to study a linear operator T on the finite-dimensional space V, by decomposing T into a direct sum of operators which are in some sense elementary.
We can do this through the characteristic values and vectors of T in certain special cases, i.e., when the minimal polynomial for T factors over the scalar field F into a product of distinct monic polynomials of degree 1.
We have just observed that we can write Af where D is diagonalizable and N is nilpotent, and where D and N not only commute but are polynomials in T.
We first define a function b{t} as follows: given the set of squares such that each has three corners on C and vertex at t, b{t} is the corresponding set of positive parametric differences between T and the backward corner points.
We define these values as Af, and define g{t} in the same way for each T.
We can then define the differential map d: C < sup >∞</ sup >( M ) → T < sub > x </ sub >< sup >*</ sup > M at a point x as the map which sends f to df < sub > x </ sub >.
We can show a waveform is periodic by finding some period T for which the following equation is true:
We could also define a Lie algebra structure on T < sub > e </ sub > using right invariant vector fields instead of left invariant vector fields.
We can indeed enumerate algorithms to construct a function T, about which we initially assume that it is a function from the natural numbers onto the reals.
Murray died in 1915, having been responsible for words starting with A – D, H – K, O – P and T, nearly half the finished dictionary ; Bradley died in 1923, having completed E – G, L – M, S – Sh, St and W – We.
We may calculate the ratio of the populations of the two states at room temperature ( T ≈ 300 K ) for an energy difference ΔE that corresponds to light of a frequency corresponding to visible light ( ν ≈ 5 × 10 < sup > 14 </ sup > Hz ).
Crow has also recorded a studio version of " So Glad We Made It " for the " Team USA Olympic Soundtrack " in conjunction with the 2008 US Olympic team sponsors AT & T.
Brian Wilson and Sergio Romo grew out their facial hair, AT & T Park filled with " Fear the Beard " signs, and the slogan " There's Magic Inside " took the place of the one from the previous season, " Yes We Can ".
We wish to determine the period T of small oscillations in a simple pendulum.
We say that the base generates the topology T. Bases are useful because many properties of topologies can be reduced to statements about a base generating that topology, and because many topologies are most easily defined in terms of a base which generates them.
Senior study author said: " We can't say with certainty that T. gondii caused the women to try to kill themselves, but we did find a predictive association between the infection and suicide attempts later in life that warrants additional studies ".
* T. Cateforis ( 2011 ), Are We Not New Wave?
T, and a free variable of T. We say x is bound in M and free in T. If T contains a subterm λ x.
The book also takes its name from the T. S. Eliot poem The Hollow Men, which includes the lines " In this last of meeting places // We grope together // And avoid speech // Gathered on this beach of the tumid river.
We shall mark the current time ( or iteration ) in the algorithm with T, and shall begin ( at time 0, or T = 0 ) by creating distance matrices for each router to its immediate neighbors.

0.312 seconds.