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above and statement
There is one exception to the above statement as has been pointed out, and that is that fluids can relax by flowing into fields of lower rates of shear, so the statement should be modified by stating that the mechanics are similar.
In the above mentioned report of the Notre Dame Chapter of the American Association of University Professors, the basic outlook of the new breed of lay faculty emerges very clearly in the very statement of the problem as the members see it: `` Even with the best of intentions he ( the President of the university ) is loath to delegate such authority and responsibility to a group the membership of which, considered ( as it must be by him ) in individual terms, is inhomogeneous, mortal and of extremely varying temperament, interests and capabilities.
On the other hand, other foundational descriptions of category theory are considerably stronger, and an identical category-theoretic statement of choice may be stronger than the standard formulation, à la class theory, mentioned above.
Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula
Most denominations ( a notable exception being the Seventh Day Adventists ) would affirm the statement from the Catechism of the Catholic Church ( above ), with the exception of the parenthetical phrase, " through a purification or immediately.
If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.
* Klal shehu tzarich lifrat, a generality that requires a particularity, and a particularity that requires a generality: If it is impossible to have the more general law without more specific examples or more specific cases without the statement of the general law, the above three rules don't apply.
The authors of this study also reweighted data from a 1990 sample to show that at that time 62. 4 % of academic economists agreed with the statement above, while 19. 5 % agreed with provisos and 17. 5 % disagreed.
An answer to any of the three example questions above would not itself be a normative ethical statement.
In this case, the above definition can be characterized by the following equivalent statement:
What is missing, above all, is a precise statement of the syntax of the formalism.
Instead, in keeping with Reese's statement above, specific criteria for measurement are stated, and the goal is to construct procedures or operations that provide data that meet the relevant criteria.
Since there is a one-to-one correspondence between Borel regular measures in the interval and functions of bounded variation ( that assigns to each function of bounded variation the corresponding Lebesgue-Stieltjes measure, and the integral with respect to the Lebesgue-Stieltjes measure agrees with the Riemann-Stieltjes integral for continuous functions ), the above stated theorem generalizes the original statement of F. Riesz.
A more mathematical statement of the Principle of Relativity made later by Einstein, which introduces the concept of simplicity not mentioned above is:
The statement above, when is equivalent to
This classical statement, as well as the classical Divergence theorem and Green's Theorem, are simply special cases of the general formulation stated above.
An unproven statement that is believed to be true is called a conjecture ( or sometimes a hypothesis, but with a different meaning from the one discussed above ).
The statement in the English Bill of Rights concerning the right to bear arms is often quoted only in the passage where it is written as above and not in its full context.
But since ( as above ) this statement is logically equivalent to ( 1 ) all ravens are black, it follows that the sight of a green apple is evidence supporting the notion that all ravens are black.
The content of the above statement is:
The best-known statement of the above Green values is the Four Pillars of the Green Party, adopted by the German Greens in 1979-1980 ( but forsaken since ).
This question results in a paradox because, according to the statement above, he can either be shaven by:
Smullyan argues that the paradox is akin to the statement " I know a man who is both five feet tall and six feet tall ," in effect claiming that the " paradox " is merely a contradiction, not a true paradox at all, as the two axioms above are mutually exclusive.
By acting in accordance with the above mission statement, CSUCS hopes to achieve the following charitable objectives:

above and now
By now Harmony could see that most of the adults in the train were winded and resting, or else siphoned off from the games by the challenging lure of the great cliff towering above them.
Apparently no serious disorders resulted from the celebration, and within a few days, Morgan joined the force of Lafayette who now had command of some 2,000 men at Barren Hill, not far above Philadelphia on the Schuylkill.
She stood up, smoothing her hair down, straightening her clothes, feeling a thankfulness for the enveloping darkness outside, and, above everything else, for the absence of the need to answer, to respond, to be aware even of Stowey coming in or going out, and yet, now that she was beginning to cook, she glimpsed a future without him, a future alone like this, and the pain made her head writhe, and in a moment she found it hard to wait for Lucretia to come with her guests.
Additionally, on the many ships at sea and in the smaller naval stations, the availability of the Journal removed the necessity of subscribing to several additional journals of civilian origin over and above the quantity now authorized, in order to provide any reasonably comparable coverage.
Jones came toward them fast, now, along the southern toe of the Reef, and the dogs could be heard plainly, Old John with his Grand Canyon voice outstanding above the others.
We may now take up for consideration a hard case which seems to require either no action employing economic pressure or else action that would seem to violate the principles set forth above.
Many modern forces now have their dedicated armored car designs, to exploit the advantages noted above.
Because of your forward motion relative to the falling rain, the rain now appears to be falling not straight down from directly above you, but at a slight angle from a point in the sky somewhat in front of you.
The path continues to ascend, and the side of the ravine, on which it runs, becomes steeper, until a cave is reached above which the mountain now rises almost perpendicularly ; while on the right, it strikes in a rapid descent down to where, in St Benedict's day, below, lay the blue waters of the lake.
BBC Text also enabled channel association, the ability for the user to retain their selected television channel visible in one section of the screen whilst viewing the text service, in contrast to Ceefax, which could only be viewed as a full-screen display, or as a semitransparent overlay ( i. e. opaque blocks of colour on top of the television channel, with the black background now transparent ; not ' translucent blocks of colour with a translucent black background ') above the television picture.
In 1931, Subrahmanyan Chandrasekhar calculated, using special relativity, that a non-rotating body of electron-degenerate matter above a certain limiting mass ( now called the Chandrasekhar limit at 1. 4 solar masses ) has no stable solutions.
As told above, Blissymbolics was used in 1971 to help children at the Ontario Crippled Children ’ s Centre ( OCCC, now the Bloorview Kids Rehab ) in Toronto, Canada.
Taken together with an increased emphasis on discipline in the RIC, this helped to curb the random atrocities the Black and Tans committed since March 1920 for the remainder of the war, if only because reprisals were now directed from above rather than being the result of a spontaneous desire for revenge.
In what follows the dates are as given in the Chronicle, although as noted above, these are earlier than now thought accurate.
Therefore, allowing for this risk, his expected return is now 9. 0 % per annum ( the arithmetic is the same as above ).
The drinking establishment is now known as " The Horse You Came In On ", and local lore insists that a ghost they call " Edgar " haunts the rooms above.
We now know that the above equation is true modulo integer multiples of, but Cotes missed the fact that a complex logarithm can have infinitely many values due to the periodicity of the trigonometric functions.
Using now the power series definition from above we see that for real values of x
As noted above, however, most of the Hollywood films now considered classic noirs fall into the broad category of the " B movie ".
above the floor there are two narrow shafts in the north and south walls ( one is now filled by an extractor fan to try to circulate air in the pyramid ).
For Silius Italicus, who wrote as the games approached their peak, the degenerate Campanians had devised the very worst of precedents, which now threatened the moral fabric of Rome: " It was their custom to enliven their banquets with bloodshed and to combine with their feasting the horrid sight of armed men fighting ; often the combatants fell dead above the very cups of the revelers, and the tables were stained with streams of blood.
However, now, with the use of aggressive therapy as described above, the death rate from thyroid storm is less than 20 %.
In the Crescent is the classical style church of St Mary in the Castle ( its name recalling the old chapel in the castle above ) now in use as an arts centre.
Many devices now sold as Hall effect sensors in fact contain both the sensor as described above plus a high gain integrated circuit ( IC ) amplifier in a single package.
We will now make the above discussion concrete, using the formalism developed in the article on the mathematical formulation of quantum mechanics.

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