Help


[permalink] [id link]
+
Page "Compactification (mathematics)" ¶ 3
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

function and is
Unconcerned with the practical function of his actions, the dancer is engrossed exclusively in their `` motional content ''.
This is the primary function of the imagination operating in the absence of the original experiential stimulus by which the images were first appropriated.
But because it is the function of the mind to turn the one into the other by means of the capacities with which words endow it, we do not unwisely examine the type of distinction, in the sphere of politics, on which decisions hang.
`` Mr. Gross, your report says that ' our function is investigative and advisory and does not in any way derogate from or prejudice Mr. Bang-Jensen's rights as a staff member.
It is, however, a disarming disguise, or perhaps a shield, for not only has Mercer proved himself to be one of the few great lyricists over the years, but also one who can function remarkably under pressure.
Men seem almost universally to want a sense of function, that is, a feeling that their existence makes a difference to someone, living or unborn, close and immediate or generalized.
And there is one other point in the Poetics that invites moral evaluation: Aristotle's notion that the distinctive function of tragedy is to purge one's emotions by arousing pity and fear.
It is possible that international organization will ultimately supplant the multi-state system, but its proper function for the immediate future is to reform and supplement that system in order to render pluralism more compatible with an interdependent world.
A primary function is the operation of a Government Bid Center, which receives bids daily from the Federal Government's principal purchasing agencies.
The education function of the Institute is carried on by the staff in the departments of pathology and its consultants.
The responsibility for taking the initiative in generating ideas is that of every officer in the Department who has a policy function, regardless of rank.
This function is staffed by engineers chosen for their technical competence and who have the title, member of the technical staff.
If Af is the change per unit volume in Gibbs function caused by the shear field at constant P and T, and **yr is the density of the fluid, then the total potential energy of the system above the reference height is Af.
This is interesting for it combines both the thermodynamic concept of a minimum Gibbs function for equilibrium and minimum mechanical potential energy for equilibrium.
The concept of the strain energy as a Gibbs function difference Af and exerting a force normal to the shearing face is compatible with the information obtained from optical birefringence studies of fluids undergoing shear.
A proton magnetic resonance study of polycrystalline Af as a function of magnetic field and temperature is presented.
Within certain wide limits anatomy dictates function and, if one is permitted to speculate, potential pathology should be included in this statement as well.
When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.
The function f{t} defined in this way is multi-valued.
In some neighborhood in the f-plane of any ordinary point of the graph, the function f is a single-valued, continuous function.

function and undefined
But this function is undefined when the second input is zero.
Thus, the gamma function must be undefined at those points ; it is a meromorphic function with simple poles at the nonpositive integers.
However, they did not make any conclusions regarding the specific function of DNA as hereditary material, and only said that it must have some undefined role.
While all primitive recursive functions are total, this is not true of partial recursive functions ; for example, the minimisation of the successor function is undefined.
In the equivalence of models of computability, a parallel is drawn between Turing machines which do not terminate for certain inputs and an undefined result for that input in the corresponding partial recursive function.
In this case, there is no such maximum as the objective function is unbounded, so the answer is " infinity " or " undefined ".
Unlike a logic gate, which has a fixed function, a PLD has an undefined function at the time of manufacture.
An anonymous function that does not return a value, define a function etc., can be used to force the script to return an undefined type:
In complex analysis, a removable singularity ( sometimes called a cosmetic singularity ) of a holomorphic function is a point at which the function is undefined, but it is possible to define the function at that point in such a way that the function is regular in a neighbourhood of that point.
where ζ ( s ) is the Riemann zeta function ( which is undefined for s = 1 ).
In contemporary use, the term " computable function " has various definitions: according to Cutland ( 1980 ), it is a partial recursive function ( which can be undefined for some inputs ), while according to Soare ( 1987 ) it is a total recursive ( equivalently, general recursive ) function.
When there is a singularity in the function being integrated such that the integral becomes undefined, i. e., it is not Lebesgue integrable, then C does not need to be the same on both sides of the singularity.
A function that is not well-defined is not the same as a function that is undefined.
The rational function is defined for all real numbers, but not for all complex numbers, since if x were a square root of ( i. e. the imaginary unit or its negative ), then formal evaluation would lead to division by zero:, which is undefined.

function and at
In some neighborhood of an isolated tangent point in the f-plane, say Af, the function Af is either double-valued or has no values defined, except at the tangent point itself, where it is single-valued.
For it is clear that the total number of ordinary intersections of C and Af must be even ( otherwise, starting in the interior of C, Af could not finally return to the interior ), and the center of rotation at T is the argument of the function, not a value.
The number of ordinary values of the function f{t} at T will be called its multiplicity at T.
The values Af are the ordinary values at Af of a multi-valued function g{t} which has components corresponding to those of f{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.
To extract the optimal R-stage policy with respect to the feed state Af, we enter section R of this table at the state Af and find immediately from the last column the maximum value of the objective function.
They differ from other related families by often being pachycauline ( i. e. with a thickened trunk, usually wider at the base, which has a water storage function ), by usually having succulent leaves, and by possessing a trimerous flower with a superior ovary and seeds with an aryl.
If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.
* There exists a model of ZF ¬ C in which there is a function f from the real numbers to the real numbers such that f is not continuous at a, but f is sequentially continuous at a, i. e., for any sequence
# The electrons are never in a single point location, although the probability of interacting with the electron at a single point can be found from the wave function of the electron.
Moreover, it sometimes happens that the configuration interaction expansion converges very slowly and that one cannot speak about simple one-determinant wave function at all.
With de Broglie's suggestion of the existence of electron matter waves in 1924, and for a short time before the full 1926 Schrödinger equation treatment of hydrogen like atom, a Bohr electron " wavelength " could be seen to be a function of its momentum, and thus a Bohr orbiting electron was seen to orbit in a circle at a multiple of its half-wavelength ( this historically incorrect Bohr model is still occasionally taught to students ).
Even the private reflections of Alcaeus, ostensibly sung at dinner parties, still retain a public function.
The original song Advance Australia Fair was composed by Peter Dodds McCormick under the pen-name ' Amicus ' ( which means ' friend ' in Latin ), in the late 19th century, and first performed by Andrew Fairfax at a Highland Society function in Sydney on 30 November 1878.
In a way the rules of evidence can function to give a judge limited inquisitorial powers as the judge may exclude evidence he / she believes is not trustworthy or irrelevant to the legal issue at hand.
In statistics, the autocorrelation of a random process describes the correlation between values of the process at different points in time, as a function of the two times or of the time difference.
The viscous dissipation function governs the rate at which mechanical energy of the flow is converted to heat.

0.168 seconds.