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Schwarzschild's second paper, which gives what is now known as the " Inner Schwarzschild solution " ( in German: " innere Schwarzschild-Lösung "), is valid within a sphere of homogeneous and isotropic distributed molecules within a shell of radius r = R.
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Schwarzschild's and which
In the same year, the first steps towards generalizing Schwarzschild's solution to electrically charged objects were taken, which eventually resulted in the Reissner – Nordström solution, now associated with electrically charged black holes.
Schwarzschild's and gives
Since the Schwarzschild's law formula gives unreasonable values for times in the region where reciprocity holds, a modified formula has been found that fits better across a wider range of exposure times.
Schwarzschild's and is
Schwarzschild's first ( spherically symmetric ) solution contains a coordinate singularity on a surface that is now named after him.
A modern formulation of Schwarzschild's law is given as
Schwarzschild's and known
However, although Schwarzschild's best known work lies in the area of general relativity, his research interests were extremely broad, including work in celestial mechanics, observational stellar photometry, quantum mechanics, instrumental astronomy, stellar structure, stellar statistics, Halley's comet, and spectroscopy.
Schwarzschild's and shell
Schwarzschild's work in the fields of stellar structure and stellar evolution led to improved understanding of pulsating stars, differential solar rotation, post-main sequence evolutionary tracks on the Hertzsprung-Russell diagram ( including how stars become red giants ), hydrogen shell sources, the helium flash, and the ages of star clusters.
Schwarzschild's and =
When reciprocity holds, Schwarzschild's law uses p = 1. 0.
Schwarzschild's and .
Schwarzschild's struggle with pemphigus may have eventually led to his death.
Thousands of dissertations, articles, and books have since been devoted to the study of Schwarzschild's solutions to the Einstein field equations.
* D. Merritt, Martin Schwarzschild's Contributions to Galaxy Dynamics
Schwarzschild's model was found wanting by Abney and by Englisch, and better models have been proposed in subsequent decades of the early twentieth century.
Unfortunately, Schwarzschild's empirically determined 0. 86 coefficient turned out to be of limited usefulness.
second and paper
He was aware of her as a frightfully good-looking American WAC, a second lieutenant assigned to do the paper work, ( regardless of how important she might have thought she was ) in the Command offices, but that was all.
But during the second half of the century its fortunes reached a low point and when in 1897 Cyrus H. K. Curtis purchased it -- `` paper, type, and all '' -- for $1,000 it was a 16-page weekly filled with unsigned fiction and initialed miscellany, and with only some 2,000 subscribers.
The editor, sports editor, and student business manager are chosen in December, the new staff assuming responsibility for the paper at the beginning of the second semester.
A second explanation is suggested by the material described in Rowlands' paper.
The congressman who, in Paris, may have stuffed his wallet with enough franc notes to paper the roof of Notre-Dame will systematically scream that a $200 increase in entertainment allowance for a second secretary is tantamount to debauchery of the Treasury.
Plain also occurs as the p in cap, or the second p in paper.
During the second stage, writing began to appear on paper, papyrus, clay, wax, etc.
A second aspect of printer technology that is often forgotten is resistance to alteration: liquid ink, such as from an inkjet head or fabric ribbon, becomes absorbed by the paper fibers, so documents printed with liquid ink are more difficult to alter than documents printed with toner or solid inks, which do not penetrate below the paper surface.
When both the fronts and sides of a building are drawn, then the parallel lines forming a side converge at a second point along the horizon ( which may be off the drawing paper.
The first support was Dr. Thorndike's paper ; the second was a concession by proponents of the systematic languages that thousands of words were already present in many – or even a majority – of the European languages.
After the publication of the statistical analysis by Bill, Adam discovers that he has missed a second instruction from Bill to conduct 12 trials instead, and that Bill's paper is based on this second instruction.
Because changing ink color in a mimeograph could be a laborious process, involving extensively cleaning the machine or, on newer models, replacing the drum or rollers, and then running the paper through the machine a second time, some fanzine publishers experimented with techniques for painting several colors on the pad, notably Shelby Vick, who created a kind of plaid " Vicolor.
A typical PDP-1 operating procedure was to output text to punched paper tape using the PDP-1's " high speed " ( 60 character per second ) Teletype model BRPE punch, then to hand carry the tape to a Flexowriter for offline printing.
Later on, a second paper entitled, " Metallic Phase with Long-Range Orientational Order and No Translational Symmetry " was submitted for publication, Dan Shechtman et al.
In 1971, Schneider was second author on a Science paper with S. I. Rasool titled " Atmospheric Carbon Dioxide and Aerosols: Effects of Large Increases on Global Climate " ( Science 173, 138 – 141 ).
The Times was founded the year after the Washington Star, the previous " second paper " of D. C., went out of business, after operating for over 100 years.
, between 25 % and 50 % of the toilet paper used in the United States comes from tree farms in the U. S. and South America, with most of the rest coming from second growth forests, and only a small percentage coming from virgin forests.
Boole's first published paper was Researches in the theory of analytical transformations, with a special application to the reduction of the general equation of the second order, printed in the Cambridge Mathematical Journal in February 1840 ( Volume 2, no.
The difference between the boot loader and second stage loader is the addition of checking code to trap paper tape read errors, a frequent occurrence with hardware such as the Model 33 ASR.
Nyquist's famous 1928 paper was a study on how many pulses ( code elements ) could be transmitted per second, and recovered, through a channel of limited bandwidth.
The paper focuses on three key ideas: first, use of a decentralized network with multiple paths between any two points ; and second, dividing complete user messages into what he called message blocks ( later called packets ); then third, delivery of these messages by store and forward switching.
Sir James Clark Ross took the first modern sounding in deep sea in 1840, and Charles Darwin published a paper on reefs and the formation of atolls as a result of the second voyage of HMS Beagle in 1831-6.
Imagine there is an election between four candidates: A, B, C and D. The first matrix below records the preferences expressed on a single ballot paper, in which the voter's preferences are ( B, C, A, D ); that is, the voter ranked B first, C second, A third, and D fourth.
second and which
There had been a good second or two during which my muffler had been blowing out, and now I was certain I'd seen her somewhere before.
Their skin was covered with a thin coating of sweat and dirt which had almost the consistency of a second skin.
As for progress, the `` backward South '' can boast of Baton Rouge, which increased its population between 1940 and 1950 by two hundred and sixty-two percent, to 126,000, the second largest growth of the period for all cities over 25,000.
Nothing testifies more clearly to that cleavage than the peculiar editorial page appearing in a July issue of Life Magazine, the issue which also carried the second announcement of the candidacy.
The second involves something deeper, but its characteristic form focuses on a shift in policy for the community, not in the truth on which the community rests.
There is a second feature of the influences of literature, good literature, on emotional life which may have some special value for our time.
Upon second thought we were forced to realize that we have very few reliable historical benchmarks against which we might compare the present situation, and that conclusions that present-day students are `` more '' or `` less '' religious could not be defended on the basis of our data.
And the second requirement for convincing people without their knowledge is artistic talent to prepare the words and pictures which persuade by using the principles which the scientists have discovered.
The House was his habitat and there he flourished, first as a young representative, then as a forceful committee chairman, and finally in the post for which he seemed intended from birth, Speaker of the House, and second most powerful man in Washington.
When he came to Baltimore, he was leaving a team which was supposed to win the National League pennant, and he was joining what seemed to be a second division American League club.
In the second and third chapters of Revelation the new version retains, however, the old phrase `` angel of the church '' which Biblical scholars have previously interpreted as meaning bishop.
The 15th Street deposit is not to be confused with the nearby famous Mayflower Hotel cypress swamp on 17th Street reported in The Washington Post, August 2, 1955, which was probably formed during the second interglacial period and is therefore much younger.
The second great dilemma has been the morality of nuclear testing, a dilemma which has suddenly become acute because of the present series of Soviet tests.
The video signal is amplified and then switched, in synchronism with the three ultraviolet light sources which are sequenced by the rotating mirror so that during one-twentieth of a second only one wavelength, corresponding to red, green, or blue, is seen.
Clearly, any line, l, of any bundle having one of these points of tangency, T, as vertex will be transformed into the entire pencil having the image of the second intersection of L and Q as vertex and lying in the plane determined by the image point and the generator of Af which is tangent to **zg at T.
the second requires that there be a line through P which meets **zg in Af points.
In the second, the fixed elements are the lines which join the vertex, P, to the two intersections of **zg and the plane of the pencil which do not lie on the multiple secant.
Continuing with the case in which **zg is a Af curve on a quadric Q, we first observe that the second regulus of Q consists precisely of the lines which join the two free intersections of **zg and the planes through any one of the multiple secants.
These differences in turn result from the fact that my Yokuts vocabularies were built up of terms selected mainly to insure unambiguity of English meaning between illiterate informants and myself, within a compact and uniform territorial area, but that Hoijer's vocabulary is based on Swadesh's second glottochronological list which aims at eliminating all items which might be culturally or geographically determined.
But in the second subtype, which I take to be the one more frequently applied, only the operating expenses and not the `` cost of capital '' or `` fair return '' are apportioned directly among the various classes of service.
The second productive period, the decade from 1910 to 1920, can be related to three events: the completion of The Dynasts in 1909, which left Hardy free of pressure for the first time in forty years ; ;
0.293 seconds.