Obviously, very slight changes in P do not change the probabilities much, and a slight lack of independence may not make an appreciable difference.

Eddington's proposed solution to the perceived problem was to modify relativistic mechanics so as to make the law P = K < sub > 1 </ sub > ρ < sup > 5 / 3 </ sup > universally applicable, even for large ρ.

While his system was less " scientific " than that of J. P. Lesley, it's other key features – notation, specificity, and versatility – make it deserving of the praise it has received.

In our world, P ( s ) is true because my shirt happens to be pink ; in some other world, P ( s ) is false, while in still some other world, P ( s ) wouldn't make sense because my shirt doesn't exist there.

* Organizational change is strategically achieved through the implementation of the eight-step plan of action established by John P. Kotter: Increase urgency, get the vision right, communicate the buy-in, empower action, create short-term wins, don't let up, and make change stick.

Strong soundness of a deductive system is the property that any sentence P of the language upon which the deductive system is based that is derivable from a set Γ of sentences of that language is also a logical consequence of that set, in the sense that any model that makes all members of Γ true will also make P true.

In fact, the polynomial-time machine only needs to make one # P query to solve any problem in PH.

In a letter to the Washington Evening Star published after the explosion, Muenter writing under an assumed name, said he hoped that the detonation would “ make enough noise to be heard above the voices that clamor for war .” J. P. Morgan ’ s company served as Great Britain ’ s principal U. S. purchasing agent for munitions and other war supplies.

If a player can alter two words at once, he scores both, so if the word CAT were already played, then an H could be placed over the C, and then A, R, and P added to make both HAT and HARP.

Phosphate rock can also be processed into water-soluble phosphate ( P < sub > 2 </ sub > O < sub > 5 </ sub >) with the addition of sulfuric acid ( H < sub > 2 </ sub > SO < sub > 4 </ sub >) to make the phosphoric acid in phosphate fertilizers.

Cicero In the court case Pro Caelio, the name Medea is mentioned at least five times, as a way to make fun of Clodia, sister of P. Clodius Pulcher, the man who exiled Cicero.

While the yard tried to pass the vast cost overruns directly onto the Navy, Rickover fought Electric Boat's general manager, P. Takis Veliotis, tooth and nail at every possible turn, demanding that the yard make good on its shoddy workmanship.

These sequences have been used to make a comparative analysis between P. tricornutum and the putative complete proteomes from the green alga Chlamydomonas reinhardtii, the red alga Cyanidioschyzon merolae, and T. pseudonana.

According to Shannon's source coding theorem, the optimal code length for a symbol is − log < sub > b </ sub > P, where b is the number of symbols used to make output codes and P is the probability of the input symbol.

For three years, Hill researched the StP & P and finally concluded that it would be possible to make a good deal of money off of the StP & P, provided that the initial capital could be found.

There are several ways to modify this idea to make it work ; for example, one can restrict the compact Hausdorff spaces C to have underlying set P ( P ( X )) ( the power set of the power set of X ), which is sufficiently large that it has cardinality at least equal to that of every compact Hausdorff set to which X can be mapped with dense image.

Roosevelt was suspicious of Sinclair's socialist attitude and conclusions in The Jungle and so sent labor commissioner Charles P. Neill, and social worker James Bronson Reynolds, men whose honesty and reliability he trusted, to Chicago to make surprise visits to meat packing facilities.

In addition the new hit artist Ritchie Valens ,, J. P. " The Big Bopper " Richardson and Dion DiMucci, joined the tour to promote their recordings and to make an extra profit.

Otto P. Geier, chairman of the Preventive Medicine Section of the American Medical Association ( AMA ), was quoted in The New York Times in 1917 as praising socialized medicine as a way to " discover disease in its incipiency ," help end " venereal diseases, alcoholism, tuberculosis ," and " make a fundamental contribution to social welfare.

As J. P. Morgan rose to fame, he organized a contract to make sure that all of his future family receive a large annual sum of money, directly given to his family.

To get a good feeling of what P / E multiple a stock trades at, be sure to look at the historical and forward ratios.

When visiting the Special Forces at Fort Bragg on 12 October 1961, President John F. Kennedy asked Brigadier General William P. Yarborough to make sure that the men under his command wore green berets for the visit.

The last page of the story is a splash-panel of Dr. Quintum replying " I'm sure we'll think of something " and looking at a large, sealed door labeled P. R. O. J. E. C. T.

Armstrong's son, John P. Armstrong, has said however that he does not think it came to more than 500 real yards of track, but admits he is not sure.

Athena is reported as a source of influence for feminist theologians such as Carol P. Christ.

Additionally, though the Chronicler's principal source is the Deuteronomistic History, coming primarily, as stated above, from the books of 2 Samuel and 1 – 2 Kings and other public records and sources ( see above ), the Chronicler also uses other biblical sources, particularly from the Pentateuch, as redacted and put together by P ( the Priestly Source ).

The second letter describes the thermal characteristic of its source region: T for tropical, P for polar, A for Arctic or Antarctic, M for monsoon, E for equatorial, and S for superior air ( dry air formed by significant downward motion in the atmosphere ).

During World War II, a dog tag could indicate only one of three religions through the inclusion of one letter: " P " for Protestant, " C " for Catholic, or " H " for Jewish ( from the word, " Hebrew "), or ( according to at least one source ) " NO " to indicate no religious preference.

Geometric arrangement for Fresnel's calculation Consider the case of a point source located at a point P < sub > 0 </ sub >, vibrating at a frequency f. The disturbance may be described by a complex variable U < sub > 0 </ sub > known as the complex amplitude.

Despite his influence in the financial world ( at least one source called him the most powerful American financier since J. P. Morgan ), Milken was an intensely private man who shunned publicity.

The proposal by political scientist Samuel P. Huntington is that people's cultural and religious identities will be the primary source of conflict in the post – Cold War world.

In this diagram, light emitted by the source S bounces off a few segments of the mirror ( in blue ) before reaching the detector at P. The sum of all paths must be taken into account.

From the late 19th century there was a general consensus around the documentary hypothesis, which suggests that the five books were created c. 450 BCE by combining four originally independent sources, known as the Jahwist, or J ( about 900 BCE ), the Elohist, or E ( about 800 BCE ), the Deuteronomist, or D, ( about 600 BCE ), and the Priestly source, or P ( about 500 BCE ).

and Fischer R. P., Commercial tattooing as a potential source of hepatitis C infection, Medicine, March 2000 ; 80: 134-151

This hypothesis proposes four sources, J, E, P and D. Of these hypothetical sources, proponents suggest that this narrative comes from the J or " Yahwist source.

The commonly held view of biblical scholars holding to the four-source origins of Genesis ( J, E, P, D ) is that 10: 5 comes from the Priestly ( P ) text source and 11: 8-9, and actually the entirety of the Babel narrative, from the Jahwist source ( J ).

Thus the Green's function describes the influence at of the data f and g. For the case of the interior of a sphere of radius a, the Green's function may be obtained by means of a reflection ( Sommerfeld, 1949 ): the source point P at distance ρ from the center of the sphere is reflected along its radial line to a point P that is at a distance

where R denotes the distance to the source point P and R ' denotes the distance to the reflected point P. A consequence of this expression for the Green's function is the Poisson integral formula.

Let ρ, θ, and φ be spherical coordinates for the source point P. Here θ denotes the angle with the vertical axis, which is contrary to the usual American mathematical notation, but agrees with standard European and physical practice.

where P < sub > 1 </ sub > is the optical power level generated when the light source is on, and P < sub > 0 </ sub > is the power level generated when the light source is off.

Let the total power radiated from a point source, for example, an omnidirectional isotropic antenna, be P. At large distances from the source ( compared to the size of the source ), this power is distributed over larger and larger spherical surfaces as the distance from the source increases.