Rearranging the differential equation into standard form results in the following:

Rearranging the equation yields.

Rearranging yields:

Rearranging terms yields

Rearranging yields

Rearranging this yields:

Rearranging yields

* Positional Abjad-Expression of an initial vowel by the height of the word in relation to the line, no necessary expression of subsequent vowels ( e. g., Pitman, which can optionally express other vowels by detached diacritics ).

The purely geometric approach of von Staudt was based on the complete quadrilateral to express the relation of projective harmonic conjugates.

This question of the exact relationship between the Father and the Son ( a part of the theological science of Christology ) had been raised some fifty years before Arius, when Paul of Samosata was deposed in 269 for agreeing with those who used the word homoousios ( Greek for same substance ) to express the relation between the Father and the Son.

According to these semantics, a truth is necessary with respect to a possible world w if it is true at every world that is accessible to w, and possible if it is true at some world that is accessible to w. Possibility thereby depends upon the accessibility relation R, which allows us to express the relative nature of possibility.

If we assume that a sentence consists of two objects and a relation that connects them, and we represent this by three names, say John, loving, Mary, how do we express the fact that John loves Mary?

The most natural and convenient way to express the relation involves the algebraic concept of exact sequences: sequences of objects ( in this case groups ) and morphisms ( in this case group homomorphisms ) between them such that the image of one morphism equals the kernel of the next.

We obtain an equivalence relation on CSAs over K by the Artin – Wedderburn theorem ( Wedderburn's part, in fact ), to express any CSA as a M ( n, D ) for some division algebra D. If we look just at D, that is, if we impose an equivalence relation identifying M ( m, D ) with M ( n, D ) for all integers m and n at least 1, we get the Brauer equivalence and the Brauer classes.

To express D as a function of E the inverse of the dispersion relation has to be substituted into the expression of as a function of k to get the expression of as a function of the energy.

As expressed by the second part of the equation, it is also possible to express the probability as relation of the path traveled by the electron to the mean free path ( distance at which another collision occurs ).

The working class begins to experience and express a different type of social relation, one that challenges the legitimacy of capitalism, with the birth of trade unions.

We express this relation by means of the notation ∠( h, k ) ≅ ( h ′, k ′) Every angle is congruent to itself ; that is, ∠( h, k ) ≅ ( h, k ) or ∠( h, k ) ≅ ( k, h )

Consequently, Weinreich gives the definition " A person's identity is defined as the totality of one's self-construal, in which how one construes oneself in the present expresses the continuity between how one construes oneself as one was in the past and how one construes oneself as one aspires to be in the future "; this allows for definitions of aspects of identity, such as: " One ’ s ethnic identity is defined as that part of the totality of one ’ s self-construal made up of those dimensions that express the continuity between one ’ s construal of past ancestry and one ’ s future aspirations in relation to ethnicity " ( Weinreich, 1986a ).

In most cases, Thai people use words which express the relation between speaker and listener according to their respective roles.

" He also recognized Marcel Proust as being " concerned with the task of inexorably blurring … the relation between the writer and his characters "; the Surrealist movement for employing the practice of " automatic writing " to express " what the head itself is unaware of "; and the field of linguistics as a discipline for " showing that the whole of enunciation is an empty process.

* the linguistic means to express the paratactic relation,

The first step in the Cartan method is to express the pullback relation ( 1 ) in as invariant a way as possible through the use of a " prolongation ".

After the Newport Pop Festival appearance, White began to express dissatisfaction with the band's drummer, Kevin Kelley, and soon persuaded McGuinn and Hillman to replace Kelley with Gene Parsons ( no relation to Gram ), a friend of White's from their days together in the band Nashville West.

Sections by Kosaka Masanobu express his views on the warrior code in relation to the connection between lord and vassal.

But in any event, full credit should be given to the Cost Section for its express and overt recognition of a vital distinction too often ignored in utility-cost analyses: namely, that between a cost allocation designed to reflect the actual behavior of costs in response to changes in rates of output of different classes of utility service ; ;

Much of the distinction between the differing factions was over the phrasing that Christ expressed in the New Testament to express submission to God the Father.

* Affinity laws, in hydraulics, used to express the relationship between variables involved in fan or pump performance

The arrows between the gerund SITTING and the nouns agent and location express the diagram's basic relationship ; " agent is SITTING on location "; Elsie is an instance of CAT.

This interpretation is supported with the argument that there is nowhere else in the book where Job express a wish for bodily resurrection, only for someone to intervene as an " umpire ", a " vindicator ", a " go ' el ", on his behalf as an impartial judge between himself and God in the present.

As with most public transport in Cuba, the vehicles used are second hand, and the flagship Tren Francés (" French train ") between Havana and Santiago de Cuba is operated by coaches originally used in Europe between Paris and Amsterdam on the ex-TEE express.

In nuclear and particle physics, the concept of a cross section is used to express the likelihood of interaction between particles.

Programs can express fine-grained control over dynamism, admitting programs that occupy a continuum between dynamic and static programming and supporting evolutionary development ( allowing for rapid prototyping followed by incremental refinement and optimization ).

Equations often express relationships between given quantities, the knowns, and quantities yet to be determined, the unknowns.

( Diagram ) Morris believes that the machine helps to explore the relationship between " monologue and language, and how people present themselves to camera, and express themselves to camera.

From the comparison of formulae ( 2 ) and ( 3 ), both of which express the same real solar motion in the same real time but on different time scales, Clemence arrived at an explicit expression, estimating the difference in seconds of time between ephemeris time and mean solar time, in the sense ( ET-UT ):

Preliminary talks to set up conditions for official negotiations began between leading negotiators from both parties on July 10, and on July 22, the three party leaders met for the first time in Harare to express their support for a negotiated settlement of disputes arising out of the presidential and parliamentary elections.

They also operate two intercity express non stop services service between Dublin Airport, Dublin City Centre, and Cork and also a non stop route between Belfast City Centre, Dublin Airport and Dublin City.

Many episodes in the Wimsey books express a mild satire of the British class system, in particular in depicting the relationship between Wimsey and Bunter, the two of them clearly being the best and closest of friends, yet Bunter invariably punctilious in using " my lord " even when they are alone, and " his lordship " in company.

* Expressiveness: This is the degree to which the notation can express relationship between concepts or structure.

She spent her last years in a close personal and professional collaboration with anthropologist Rhoda Metraux, with whom she lived from 1955 until her death in 1978. Letters between the two published in 2006 with the permission of Mead's daughter clearly express a romantic relationship.

After the Government of the German Reich and the Government of the U. S. S. R. have, by means of the treaty signed today, definitively settled the problems arising from the collapse of the Polish state and have thereby created a sure foundation for a lasting peace in the region, they mutually express their conviction that it would serve the true interest of all peoples to put an end to the state of war existing at present between Germany on the one side and England and France on the other.

After the flood was cleaned up, express service was able to resume on September 17 with trains running between Van Cortlandt Park – 242nd Street and 14th Street, making local stops north of and express stops south of 96th Street, while and trains made all stops in Manhattan ( but bypassed all stations between Canal Street and Fulton Street until October 1 ).

According to these classic sources, significance is a relationship between two sorts of things: signs and the kinds of things they signify ( intend, express or mean ), where one term necessarily causes something else to come to the mind.