Engset's equation is similar to the Erlang-B formula ; however it contains one major difference: Erlang's equation assumes an infinite source of calls, yielding a Poisson arrival process, while Engset specifies a finite number of

It is also equal to the potential difference between two parallel, infinite planes spaced 1 meter apart that create an electric field of 1 newton per coulomb.

For observers near sea level the difference between this geometrical horizon ( which assumes a perfectly flat, infinite ground plane ) and the true horizon ( which assumes a spherical Earth surface ) is imperceptible to the naked eye ( but for someone on a 1000-meter hill looking out to sea the true horizon will be about a degree below a horizontal line ).

You must be careful to avoid a mismatch that may arise between the two languages because negation, applied to a formula of the calculus, constructs a formula that may be true on an infinite set of possible tuples, while the difference operator of relational algebra always returns a finite result.

In " Essay on the Funding System " ( 1820 ) Ricardo studied whether it makes a difference to finance a war with £ 20 million in current taxes or to issue government bonds with infinite maturity and annual interest payment of £ 1 million in all following years financed by future taxes.

In electronics, the ideal model ( infinite gain ) of an operational amplifier is said to produce a virtual short circuit between its input terminals because no matter what the output voltage is, the difference of potential between its input terminals is zero.

Another difference between classical and constructive analysis is that constructive analysis does not accept the least upper bound principle, that any subset of the real line R has a least upper bound ( or supremum ), possibly infinite.

The term " indefinite summation " refers to the search for an inverse image of a given infinite sequence s of values for the forward difference operator, in other words for a sequence, called antidifference of s, whose finite differences are given by s. By contrast, summation as discussed in this article is called " definite summation ".

Although each such isolated configuration has infinite energy, it labels superselection sectors where the difference in energy between two states is finite.

This vital expedition, which would have made a vast difference to this country's strategical position, and an infinite difference to her prestige in the world, was made dependent upon this half-prepared, half-baked expeditionary force, without any combination at all between the Army and the Navy.

* Two subsets of an infinite set are equal modulo finite sets precisely if their symmetric difference is finite, that is, you can remove a finite piece from the first subset, then add a finite piece to it, and get as result the second subset.

After an infinite amount of reaction time, the ratio of product concentrations will equal the equilibrium constant K < sub > eq </ sub > and therefore be a function of the difference in Gibbs free energies,

This equation represents an infinite CMRR: if both inputs fluctuate by the same amount ( while maintaining a constant difference V < sub >+</ sub >-V < sub >-</ sub >), this change will have no bearing on the output.

This does not happen when traveling east or west, and thus the difference between our transgression and ourselves is considered infinite.

:( 1 ) the postulate of the principle, or the Cogitatio natural universalis ( good will of the thinker and good nature of thought ); ( 2 ) the postulate of the ideal, or common sense ( common sense as the concordia facultatum and good sense as the distribution which guarantees this concord ); ( 3 ) the postulate of the model, or of recognition ( recognition inviting all the faculties to exercise themselves upon an object supposedly the same, and the consequent possibility of error in the distribution when one faculty confuses one of its objects with a different object of another faculty ); ( 4 ) the postulate of the element or of representation ( when difference is subordinated to the complimentary dimensions of the Same and the Similar, the Analogous and the Opposed ; ( 5 ) the postulate of the negative, or of error ( in which error expresses everything which can go wrong in thought, but only as the product of external mechanisms ); ( 6 ) the postulate of logical function, or the proposition ( designation is taken to be the locus of truth, sense being no more than the neutralized double or the infinite doubling of the proposition ); ( 7 ) the postulate of modality, or solutions ( problems being materially traced from propositions or indeed, formally defined by the possibility of their being solved ); ( 8 ) the postulate of the end, or result, the postulate of knowledge ( the subordination of learning to knowledge, and of culture to method.

One such event is the landing in Europe itself, when the mingled familiarity and strangeness of the Occident, after the blank immensities of Asia, shocks the returning traveller into a realization of the infinite possibilities of human life.

Yet we who lean upon such a man and draw strength from him and expect interpretation of the infinite through him -- we who readily accept his sacrifice as our due, we of the congregations are the first to tell him what is in our minds instead of listening to what is in his soul.

In the following paper it is shown that in a certain definite sense, exactly an odd number of squares can be inscribed in every such curve which does not contain an infinite number of inscribed squares.

Religion at its best is out in front, ever beckoning and leading on, and, as Lippman put it, `` mobilizing all man's scattered energies in one triumphant sense of his own infinite importance ''.

We know that the number of radio and television impulses, sound waves, ultra-violet rays, etc., that may occupy the very same space, each solitary upon its own frequency, is infinite.

It is the art of relating the finite to the infinite, of doing our best to insure that the particularistic requirements of religious institutions will not thwart God's intent of unity among men more than is minimally necessary.

This force is used in the formal definition of the ampere, which states that it is " the constant current that will produce an attractive force of 2 × 10 < sup >– 7 </ sup > newton per metre of length between two straight, parallel conductors of infinite length and negligible circular cross section placed one metre apart in a vacuum ".

But humans can do something equally useful, in the case of certain enumerably infinite sets: They can give explicit instructions for determining the nth member of the set, for arbitrary finite n. Such instructions are to be given quite explicitly, in a form in which they could be followed by a computing machine, or by a human who is capable of carrying out only very elementary operations on symbols.

The statement of the axiom of choice does not specify whether the collection of nonempty sets is finite or infinite, and thus implies that every finite collection of nonempty sets has a choice function.

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.

If we try to choose an element from each set, then, because X is infinite, our choice procedure will never come to an end, and consequently, we will never be able to produce a choice function for all of X.

** Tarski's theorem: For every infinite set A, there is a bijective map between the sets A and A × A.

** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).

** Every infinite game in which is a Borel subset of Baire space is determined.

The main advantage is the fine definition of the analog signal which has the potential for an infinite amount of signal resolution.

Mathematical analysis is the study of infinite processes.

where E < sub > 0 </ sub > is an infinite negative constant.

However, it could further be argued that the ability to conflict with truth is not an appropriate representation of accepted definitions of power, which negates the assertion that a deity does not have infinite powers.

* Edges and corners of the computer monitor ( e. g., the location of the Start button and Taskbar in Microsoft Windows, and the menus and Dock of Mac OS X ) are particularly easy to acquire with a mouse, touchpad or trackball because the pointer remains at the screen edge regardless of how much further the mouse is moved, thus can be considered as having infinite width.

Formally, the sequence of partial sums of some infinite summation converges if for every fixed power of X the coefficient stabilizes: there is a point beyond which all further partial sums have the same coefficient.

In similar fashion, the isolation and examination of the stage image of Cleopatra becomes an attempt to improve the understanding of the theatrical power of her infinite variety and the cultural treatment of that power .” So, as a microcosm, Cleopatra can be understood within a postmodern context, as long as one understands that the purpose for the examination of this microcosm is to further one ’ s own interpretation of the work as a whole.

Analytic continuation often succeeds in defining further values of a function, for example in a new region where an infinite series representation in terms of which it is initially defined becomes divergent.

The great achievements generally ascribed to him are the further development of the recitative, introduced by Monteverdi, and of infinite importance in the history of dramatic music ; the further development of the chamber-cantata, by which Carissimi superseded the concertato madrigals which had themselves replaced the madrigals of the late Renaissance ; and the development of the oratorio, of which he was the first significant composer.

Once applied to the facts at all, it would drive us beyond the first antecedent or term of antecedents of volition to a still further cause or ground — in fact, land us in an infinite regress of causes.

As an outer plane, Celestia is spatially infinite, further consisting of seven infinite layers ( or sub-planes ).

If the axiom of choice ( AC ) is used, it can be further proved that the class of cardinal numbers is totally ordered, and thus is the second-smallest infinite cardinal number.

Generalizing this result to infinite lattices, however, requires adding further structure.

Culture shock can be described as consisting of at least one of fifteen distinct phases: Honeymoon, Negotiation, Adjustment, Mastery and the interdependence, are the most common attributes that pertain to existing problems, further hindrances include: information overload, language barrier, generation gap, technology gap, skill interdependence, formulation dependency, homesickness ( cultural ), infinite regress ( homesickness ), boredom ( job dependency ), response ability ( cultural skill set ).

As an outer plane, Elysium is spatially infinite, further consisting of four infinite layers ( or sub-planes ).

With this apocryphal quotation of Josiah Royce, Borges describes a further conundrum of when the map is contained within the territory, you are led into infinite regress:

If this number becomes to infinite i. e. if there are " moduli ", then we must fix further data on.

However, using the given order, one can restrict to further classes of ( possibly infinite ) subsets, that do not yield this strong completeness at once.

Thomas Digges went further than Copernicus, however, by proposing that the universe is infinite, containing infinitely many stars, and may have been the first person to do so.

There's also bonus content for beating each mini-game: beating The Mercenaries scenario with all four players with a 5-star ranking each unlocks the ' Handcannon ', beating the Separate Ways scenario unlocks further alternate costumes, as well as the ' Chicago Typewriter ', a weapon of infinite ammo, high-powered and needing zero reloading time.

As an outer plane, Ysgard is spatially infinite, further consisting of three infinite layers ( or sub-planes ).

If the form of the contradiction is that we can derive a further counterexample D, and that D is smaller than C in the sense of the working hypothesis of minimality, then this technique is traditionally called infinite descent.