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Page "Astronomical unit" ¶ 8
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With and definitions
With these definitions it is easy to describe the process of collapse.
With organisms as complex as humans, stress can take on entirely concrete or abstract meanings with highly subjective qualities, satisfying definitions of both cause and effect in ways that can be both tangible and intangible.
With such distinct definitions between the two, some cross-cultural studies also found that cultural differences of correspondence bias are not equivalent to those of fundamental attribution error.
With time the definitions between these two have often become interchanged, equated, and frequently appear juxtaposed in the same sentence.
With these definitions, the conjecture can be stated as:
With these definitions, the study of correlation functions is equivalent to the study of probability distributions.
With his unique facility for both Chinese and English idiom, Lin presided over the compilation of an outstanding Chinese-English dictionary, Lin Yutang's Chinese-English Dictionary of Modern Usage () ( 1972 ), which contains a massive English index to definitions of Chinese terms.
With the emergence of an externally consistent green economics and agreement on definitions of potentially contentious terms such as full-cost accounting, natural capital and social capital, the prospect of formal metrics for ecological and social loss or risk has grown less remote through the 1990s.
With these definitions the representations of a quiver form a category.
With these definitions the continuity equation reads:
With these definitions Misner, Thorne, and Wheeler classify themselves as, whereas Weinberg ( 1972 ) is, Peebles ( 1980 ) and Efstathiou ( 1990 ) are while Peacock ( 1994 ), Rindler ( 1977 ), Atwater ( 1974 ), Collins Martin & Squires ( 1989 ) are.
With these definitions, is an even function and its derivative with respect to z, &# 8472 ;&# 8242 ;, an odd function.
With these definitions, the resolvent set of T is the set of all complex numbers ζ such that R < sub > ζ </ sub > exists and is bounded.
With this set of definitions, there is some overlap – certain things may qualify as both a sign and a symptom ( e. g., a bloody nose ).
With these definitions of coordinate rotation and reflection, the following four equations are true:
With these definitions we may state the main results
With this fundamentally different purpose, persuasive definitions are evaluated not on their truth or falsehood but rather on their effectiveness as a persuasive device.
With those definitions in place, the evolution and current indications of the various neck dissections shall be discussed
With that in mind, the following definitions and regulations are given:
With these definitions, Snell's law of refraction can be written as
With some technical modifications, these definitions extend to the case of a surface with boundary.
With these definitions, the algebraic spaces form a category.
With the definitions of most of the words and phrases also given in Pidgin, the book is not clearly intended to be used as a Pidgin-English dictionary, although a reader unfamiliar with the dialect would likely understand most of the entries from context and the illustrations.

With and used
With Mickey Mantle and Yogi Berra both out of action due to injuries, the American League champs still mounted a 15-hit attack against a parade of eight Cincinnati pitchers, the most ever used by one team in a series game.
The last film is not based on any Christie work but displays a few plot elements from They Do It With Mirrors ( viz., the ship is used as a reform school for wayward boys and one of the teachers uses them as a crime force ), and there is a kind of salute to The Mousetrap.
The term became popular again in Australia first, when George Giffen, in his memoirs ( With Bat and Ball, 1899 ), used the term as if it were well known.
With the 1994 passage of the North American Free Trade Agreement, the following words were used to label the United States Section of that organization: in French, étatsunien ; in Spanish, estadounidense.
With the death of the last Count, Nicholas of Abensberg, in 1485, the estates fell to the Duchy of Bavaria-Munich, meaning that henceforth only the Bavarian coat of arms was ever used.
With regard to historic properties ( those properties that are listed or that are eligible for listing in the National Register of Historic Places, or properties designated as historic under State or local law ), those facilities must still comply with the provisions of Title III of the ADA to the " maximum extent feasible " but if following the usual standards would " threaten to destroy the historic significance of a feature of the building " then alternative standards may be used.
With two Italian physicians, he used the staining techniques to identify amyloid plaques and neurofibrillary tangles.
With modern instrumentation these tests are rarely used but can be useful for educational purposes and in field work or other situations where access to state-of-the-art instruments are not available or expedient.
With LAFTA in place existing productive capacity could be used more fully to supply regional needs, industries could reduce costs as a result of potential economies through expanded output and regional specialization, and attraction to new investment occurred as a result of the regional market area.
With Parallel SCSI subsystems, SAF-TE is used in computers, mostly in blade servers, where server blades reside on one side and the peripheral ( power, networking, and other I / O ) and service modules reside on the other.
With modern biotechnology, these genes can be used as targets for the development of effective new therapies, which could significantly shorten the drug discovery process.
With his opponents defeated, Captain Gould on Audacious used the spring on his cable to transfer fire to Spartiate, the next French ship in line.
With his advances in the atomic theory of matter, John Dalton devised his own simpler symbols, based on circles, which were to be used to depict molecules.
With the arrival of the Europeans the Spaniards brought the horses, mules and donkey ( which developed into the Paso Fino ) used by them in ranching duties later in the Spanish colonization of the Americas.
With Common Lisp incremental compilation is widely used.
With no need of a long barrel to fire full-power ammunition, a shorter barrel could be used.
With the publication of Darwin's theory of evolution in 1859, the concept of a " natural system " of taxonomy gained a theoretical basis, and the idea was born that groups used in a system of classification should represent branches on the evolutionary tree of life.
With a storage capacity of 800 KB, the 1581 was the highest capacity serial bus drive ever made by Commodore ( the 1 MB SFD-1001 used the parallel IEEE-488 ), and the only 3½ " one.
With the exception of the few dietary studies in the urinary tract infection section, conventional medicine has not used most of these alternatives, since limited scientific evidence proves either their effectiveness or subclinical systemic candidiasis is a viable diagnosis.
Mather reported that, from his view, " none that have used it ever died of the Small Pox, tho at the same time, it were so malignant, that at least half the People died, that were infected With it in the Common way.
With forged crankshafts, vanadium microalloyed steels are mostly used as these steels can be air cooled after reaching high strengths without additional heat treatment, with exception to the surface hardening of the bearing surfaces.
Rhyming slang is used, then described and a number of examples suggested as part of dialogue in one scene of the 1967 film To Sir With Love starring Sidney Poitier.
With the addition of a pedal clavichord, which included a pedal keyboard for the lower notes, a clavichord could be used to practice organist repertoire.
With the exception of Walden College, Trudeau has frequently used real-life settings, based on real scenarios, but with fictional results.

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