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Page "Continuum mechanics" ¶ 9
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particular and particle
A particular experiment can demonstrate particle ( photon ) or wave properties, but not both at the same time ( Bohr's Complementarity Principle ).
Unlike the other two fictitious forces, the centrifugal force always points radially outward from the axis of rotation of the rotating frame, with magnitude, and unlike the Coriolis force in particular, it is independent of the motion of the particle in the rotating frame.
As a particular example, if the particle moves in a circle of constant radius R, then dρ / dt
* propagation ( may comprise several elementary steps, as, for instance, reaction elementary acts, where the active particle through reaction forms another active particle which continues the reaction chain by entering the next elementary step ); particular cases are:
In the case of an electron, if it is initially " observed " at a particular slit, then the observer – particle ( photon – electron ) interaction includes information about the electron's position.
Thus, a field due to any particular particle or time-varying electric or magnetic field contributes to the fields present in the same space due to other causes.
In particular, particle scattering lengths are often presented in units of inverse particle masses.
A Feynman diagram is a contribution of a particular class of particle paths, which join and split as described by the diagram.
Unlike a bubble chamber picture, only the sum of all the Feynman diagrams represent any given particle interaction ; particles do not choose a particular diagram each time they interact.
) These terms all have these properties: they vanish when Ω = 0 ; that is, they are zero for an inertial frame ( which, of course, does not rotate ); they take on a different magnitude and direction in every rotating frame, depending upon its particular value of Ω ; they are ubiquitous in the rotating frame ( affect every particle, regardless of circumstance ); and they have no apparent source in identifiable physical sources, in particular, matter.
Gravity is negligible in many areas of particle physics, so that unification between general relativity and quantum mechanics is not an urgent issue in those particular applications.
However, one can measure the position ( alone ) of a moving free particle, creating an eigenstate of position with a wavefunction that is very large ( a Dirac delta ) at a particular position x, and zero everywhere else.
To this end, we can define field operators that create or destroy a particle at a particular point in space.
Because events are spacetime points, an example of an event in classical relativistic physics is, the location of an elementary ( point-like ) particle at a particular time.
The likelihood of detecting the particle at any particular location is equal to the squared amplitude of the wave function there.
In astronomy and particle physics, where the availability of particular kinds of telescopes or particle accelerators acts as a constraint on the types of experiments that can be done, the data that can be retrieved is biased towards that which can be obtained by the equipment.
Thus, for the de Broglie – Bohm theory, the particle's spin is not an intrinsic property of the particle — instead spin is, so to speak, in the wave function of the particle in relation to the particular device being used to measure the spin.
In particular, a particle is not actually hidden but rather " is what is most directly manifested in an observation ", even if position and momentum of a particle cannot be observed with arbitrary precision.

particular and within
The 20-to-1 ratio for cochannel interference embodies one of the fundamental limiting principles which we must always take into account in AM assignments and allocations -- that signals from a particular station are potential sources of objectionable interference over an area much greater than that within which they provide useful service.
Institutionalization Though undoubtedly all six processes are operative within the whole social system and its subsystems, two processes that are of crucial importance to this study will be singled out for particular emphasis.
Much more than shelter, housing symbolizes social status, a sense of `` belonging '', acceptance within a given group or neighborhood, identification with particular cultural values and social institutions, feelings of pride and worth, aspirations and hopes basic to human well-being.
Anthropologists ' involvement with the U. S. government, in particular, has caused bitter controversy within the discipline.
* Architect / Designer I: Recently licensed architect or non-registered graduate with 3 – 5 years of experience ; responsible for particular parts of a project within parameters set by others.
The mother of a bastard may summon the putative father to petty sessions within 12 months of the birth ( or at any later time if he is proved to have contributed to the child's support within 12 months after the birth ), and the justices, as after hearing evidence on both sides, may, if the mother's evidence be corroborated in some material particular, adjudge the man to be the putative father
For the most part, Bayer assigned Greek and Latin letters to stars in rough order of apparent brightness, from brightest to dimmest, within a particular constellation.
Further, they opposed the creation of an electoral college to elect the leader of the Party, who had previously been elected by members of the Parliamentary Labour Party – in particular, the arrangement of block voting by constituency parties and trade unions, with the total votes of a constituency party or trade union being given to a candidate based on a first-past-the-post within that CLP or union, or changed at the discretion of delegates ( similar to primary elections in the United States ).
Graduate programs in BME, like in other scientific fields, are highly varied, and particular programs may emphasize certain aspects within the field.
The decisions of a court are binding only in a particular jurisdiction, and even within a given jurisdiction, some courts have more power than others.
A set of house rules may be accepted as valid by a group of players wherever they play, as it may also be accepted as governing all play within a particular house, café, or club.
The two perspectives are related by a process of extension: wherever there is a horizon, a particular solution of General Relativity can be extended beyond it by assuming that nothing special happens there ( i. e., that it " looks like " the region within the horizon ).
Although there is no agreement on how a city is distinguished from a town within general English language meanings, many cities have a particular administrative, legal, or historical status based on local law.
This allows us to localize particular functions within different brain regions.
Occasionally, a film can become the object of a cult following within a particular region or culture if it has some unusual significance to that region or culture.
Cross-dressing is the act of wearing clothing and other accoutrements commonly associated with the opposite sex within a particular society.
Cave-dwelling species are also very fragile, and often, a particular species found in a cave may live within that cave alone, and be found nowhere else in the world, such as Alabama cave shrimp.
Of particular note, programs that were placed within the top 10 % of all size programs in that field based on an average of the R95 and S95 rank order include Aeronautics, Astrophysics, Biochemistry and Molecular Biophysics, Bioengineering, Biology, Chemical Engineering, Chemistry, Electrical Engineering, Environmental Science and Engineering, Geology, Geophysics, Materials Science, Mechanical Engineering, Physics, Planetary Science, and Social Science ( Economics ).
In particular, cycling is commonly used within knee rehabilitation programs.
It means that a particular approximation is rigorously defined on first principles ( quantum theory ) and then solved within an error margin that is qualitatively known beforehand.
Many other shock-related changes take place within both impactor and target as the shock wave passes through, and some of these changes can be used as diagnostic tools to determine whether particular geological features were produced by impact cratering.
One last distinction within citizenship is the so-called consent descent distinction, and this issue addresses whether citizenship is a fundamental matter determined by a person choosing to belong to a particular nation –– by his or her consent –– or is citizenship a matter of where a person was born –– that is, by his or her descent.

particular and body
The exercise I shall discuss in this -- the first of a new series of articles on muscle definition-specialization of a particular body part -- is the One Leg Lunge.
The proportion and overall size of these two parts helps determine the overall tonal balance and " native sound " of a particular body style – the larger the body, the louder the volume.
The " normal " ensemble — a body of strings supplemented by winds — and movements of particular rhythmic character were established by the late 1750s in Vienna.
Therefore, there exists a contact force density or Cauchy traction field that represents this distribution in a particular configuration of the body at a given time.
CAMRA is organised on a federal basis, with numerous independent local branches, each covering a particular geographical area of the UK, that contribute to the central body of the organisation based in St Albans.
The word chromosome comes from the Greek ( chroma, colour ) and ( soma, body ) due to their property of being very strongly stained by particular dyes.
*, the collective body of foreign diplomats accredited to a particular country or body
In the United States, the term " Darwinism " is often used by creationists as a pejorative term in reference to beliefs such as atheistic naturalism, but in the United Kingdom the term has no negative connotations, being freely used as a short hand for the body of theory dealing with evolution, and in particular, evolution by natural selection.
) is reserved for those who can prove a particular distinction in the field, usually through a body of published work or the submission of a dissertation.
Members of a particular faction in a legislature may use the power of the majority or supermajority ( passing criminal laws, defining the electoral mechanisms including eligibility and district boundaries ) to prevent the balance of power in the body from shifting to a rival faction due to an election.
Some argue that it is not merely fasting or feasting or particular area of emotions, conduct or intellect that are denounced but doing them with an independent spirit, not connected to Christ, the head of the body or lack of appreciation of the gospel of grace.
When a particular substance, whether chemical or biotic — reaches unsafe levels in the bloodstream, the body can effectively dilute — or at least maintain equilibrium of — the offending substances by storing it in new fat tissue.
Rorty in particular elaborates further on this, claiming that the individual, the community, the human body as a whole have a ' means by which they know the world ' ( this entails language, culture, semiotic systems, mathematics, science etc .).
A writer of hymns is known as a hymnist or hymnodist, and the practice of singing hymns is called hymnody ; the same word is used for the collectivity of hymns belonging to a particular denomination or period ( e. g. " nineteenth century Methodist hymnody " would mean the body of hymns written and / or used by Methodists in the 19th century ).
Just as man does not have unlimited dominion over his body in general, so also, and with more particular reason, he has no such dominion over his specifically sexual faculties, for these are concerned by their very nature with the generation of life, of which God is the source.
In the early 18th century, Nicolas Malebranche wrote " An organized body contains an infinity of parts that mutually depend upon one another in relation to particular ends, all of which must be actually formed in order to work as a whole ," arguing in favor of preformation, rather than epigenesis, of the individual ; and a similar argument about the origins of the individual was made by other 18th century students of natural history.
This occurs within the cellular body, and concerns in particular transmitters, receptors, and new synapse pathways that reinforce the communicative strength between neurons.
He carefully considers language, then, as the core of culture, by examining in particular the connections between the unfolding of thought and sense-enriching his perspective not only by an analysis of the acquisition of language and the expressivity of the body, but also by taking into account pathologies of language, painting, cinema, literature, poetry and song.
Many inbred strains exist, as well as lines selected for particular traits, often of medical interest, e. g. body size, obesity, muscularity.
Drugs are placed in the body and only activate on encountering a particular signal.
The part of the myth recounting the chopping up of the body into 14 pieces by Set is not recounted in this particular stela.

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