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Page "Foundations of mathematics" ¶ 67
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Merely and does
Merely holding an office in the priesthood does not imply authority over other church members or agency to act on behalf of the church.
* Merely touching a member of the opposite sex does not break one's wudu.
Merely walking or hunting on land does not establish actual possession.
* Senior party: Merely being the first to file the application does not grant a party legal protection.
Merely failing to attend church meetings does not qualify as apostasy.

Merely and should
Merely leaving them on the curb for the garbage man to collect, Brennan argued, should not be found to remove that expectation of privacy, for “ scrutiny of another's trash is contrary to commonly accepted notions of civilized behavior .”

Merely and some
Merely having a mental image of some sort is not the all-important consideration.
Merely one day later, Jameson broke the spirit ( though not the letter ) of his agreement with Iron Man, using the headline " a wanted murderer ( Wolverine ), an alleged ex-member of a terrorist organization ( Spider-Woman ) and a convicted heroin-dealer ( Luke Cage ) are just some of the new recruits set to bury the once good name of the Avengers ," but refraining from attacking Spider-Man.

Merely and others
Merely being aware of kindness in oneself and others is also associated with greater well-being.

Merely and .
Merely to satisfy the author's curiosity.
:" Merely quantitative differences, beyond a certain point, pass into qualitative changes.
Merely remaining silent in face of protracted questioning is insufficient to assert right.
Merely passing money from one person to another, so long as it is done with the intent to disguise the source, ownership, location or control of the money, has been deemed a financial transaction under the law.
Merely an analogy to show how media influences public perception.
Rush Tribute: Merely Players.
Merely launching a large total quantity reduces the manufacturing costs per vehicle, similar to how the mass production of automobiles brought about great increases in affordability.
Merely requesting a web page from a few kilometers away involves satisfying a stack of protocols that involve many examples of hardware and software servers.
For a number of years, Gaynor was the Fox studios foremost actress and was given the choice of prime roles, starring in such films as Sunny Side Up ( 1929 ), Delicious ( 1931 ), Merely Mary Ann ( also 1931 ), and Adorable ( 1933 ), as well as State Fair ( 1933 ) with Will Rogers and The Farmer Takes a Wife ( 1935 ), which introduced Henry Fonda to the screen as Gaynor's leading man.
Merely snatching the property from the victim's person is not sufficient force unless the victim resists or one of the items is attached or carried in such a way that a significant amount of force must be used to free the item from the victim's person.
Merely inserting an object like a probe into a plasma changes the density, temperature, and potential at the sheath edge and perhaps everywhere.
Merely being traded is insufficient, it must be a full listing, and this excludes AIM ' PLUS-quoted and PLUS-traded market segments, but PLUS itself is acceptable ; shares in unquoted companies ; warrants ; futures and options.
Merely a few months later, he was involved in a new fling with Alma Ross, an actress.
This was followed in the Examiner on 20 December by the short-lived Mary's Home from College, a precursor to the " girl strips " such as Cliff Sterrett's Polly and Her Pals and John Held Jr .' s Merely Margie ; and on 23 December with Gooseberry Sprigg, about a cigar-smoking " Duck Duke ", acharacter who had previously, and popularly, appeared in Herriman's sports cartoons.
Merely a large hostile presence.
Merely understanding culture at the deepest level may be insufficient to institute cultural change because the dynamics of interpersonal relationships ( often under threatening conditions ) are added to the dynamics of organizational culture while attempts are made to institute desired change.
Merely giving a treatment can have nonspecific effects, and these are controlled for by the inclusion of a placebo group.
Merely deleting, disabling or rashly altering them can lead to undetectable holes in the test coverage.

Merely and be
Merely ' exhibiting ' the gun was thought to be a scare, which would spare the expedition for problems with troublesome natives.
" Merely uploading and downloading files on the internet did not fulfill this requirement, meaning that even large-scale online infringement could not be prosecuted criminally.
Merely locking the bike frame to the wheel is not recommended because, although it cannot be rolled away, the entire bicycle can still be lifted and carried away.
Merely an hour later, Karolina was taken away by Xavin to be wed, and left her medic alert bracelet with Nico as a token of remembrance.

Merely and on
Merely pointing out that the plaintiff could have sued somewhere else is not sufficient to succeed on an FNC motion.
" He wrote screenplays for a number of important or popular films, including: The Docks of New York ( 1928 ), Thunderbolt ( 1929 ), Merely Mary Ann ( 1931 ), Shanghai Express ( 1932 ), Bombshell ( 1933 ), Mutiny on the Bounty ( 1935 ), Come and Get It ( 1936 ), Only Angels Have Wings ( 1939 ), To Have and Have Not ( 1944 ), The Big Sleep ( 1946 ) and Nightmare Alley ( 1947 ).
In Things Merely Are ( Routledge, 2005 ), Critchley examines the relation between philosophy and poetry through an extended meditation on the poetry of Wallace Stevens.

use and formalism
To use the above formalism the derivatives are needed:
Although the statement of the theory in terms of graphs may imply perturbation theory, use of graphical methods in the many-body problem shows that this formalism is flexible enough to deal with phenomena of nonperturbative characters ...
: Indices: These are quite apart from the above, their use is for mathematical formalism, see Index notation.
Quantum field theory frequently makes use of the Lagrangian formalism from classical field theory.
Rather than classify segments using the categories given in the International Phonetic Alphabet, the autosegmental formalism makes use of distinctive features, which provide greater granularity and make identification of natural classes easier.
This formalism is consistent with the normal use of the Schrödinger equation.
Egypt innovated the use of papyrus and the calame, added legalistic formalism to document preparation, and had specialized notary-scribes, called sesh n pero " pharaoh's scribe " or sesh n po " scribe of the nome "— agoranomos in Ptolemaic times — who gave authenticity to instruments without the need for witnesses.
The use of attesting witnesses has replaced to a large extent the former use of seals to create a higher degree of formalism ; this explains the traditional formula signed, sealed and delivered and why agreements under seal are also called contracts by deed.
A standard approach to solving this is to use the resolvent formalism ; written as a series, the solution is known as the Liouville-Neumann series.
In what follows we will make use of the formalism defined in Topological game.
Some theorists use the term formalism as a rough synonym for formal system, but the term is also used to refer to a particular style of notation, for example, Paul Dirac's bra-ket notation.
Older approaches to quantization for Abelian models use the Gupta-Bleuler formalism with a " semi-Hilbert space " with an indefinite sesquilinear form.
The starting point of this formalism is the notion of indistinguishability of particles that bring us to use determinants of single-particle states as a basis of the Hilbert space of N-particles states.
More properly, some authors use the phrase Einstein's geometrodynamics to denote the initial value formulation of general relativity, introduced by Arnowitt, Deser, and Misner ( ADM formalism ) around 1960.
While these are exact statements in the formalism of DFT, the use of approximate exchange-correlation potentials makes the calculated energies approximate and often the orbital energies are very different from the corresponding ionization energies ( even by several eVs!

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