The ratio of the measured antenna temperature change during a drift scan across the moon to the average brightness temperature of the moon over the antenna beam ( assuming that the brightness temperature of the sky is negligible ) was found, by graphical integration of the antenna directivity diagram, to be 0.85.

The radius is calculated from the mass by assuming spheres of density Af except for the smallest particles, which must have a higher mass density to remain in the solar system in the presence of solar-radiation pressure.

Can the church risk assuming that the `` folly '' of men is as dear to God as their `` wisdom '', or, as is also commonly implied, that `` the foolishness of God '' and `` the foolishness of men '' are simply two ways of talking about the same thing??

A test result ( calculated from the null hypothesis and the sample ) is called statistically significant if it is deemed unlikely to have occurred, assuming the truth of the null hypothesis.

The oxidation state + 3 originates from the 6d < sup > 1 </ sup > 7s < sup > 2 </ sup > electronic configuration of actinium, that is it easily donates 3 electrons assuming a stable closed-shell structure of the noble gas radon.

Astatine is sometimes described as being a black solid ( assuming that it follows this trend ), or as having a metallic appearance ( if it is a metalloid or a metal ).

In the case of the complex numbers, C, there is a unique nontrivial automorphism that sends R into R: complex conjugation, but there are infinitely ( uncountably ) many " wild " automorphisms ( assuming the axiom of choice ).

As in Classical architecture, in Gothic architecture, too, an aedicule or tabernacle frame is a structural framing device that gives importance to its contents, whether an inscribed plaque, a cult object, a bust or the like, by assuming the tectonic vocabulary of a little building that sets it apart from the wall against which it is placed.

Above, the force is placed on the left side of the equation, assuming it acts with the flow moving in a left-to-right direction.

Note that just because a player is described as being " at bat " in this sense, he will not necessarily be given an at bat in his statistics ; the phrase actually signifies a plate appearance ( assuming it is eventually completed ).

whereas if X is a complex Banach space, then the polarization identity is given by ( assuming that scalar product is linear in first argument ):

In this compact arrangement, if a node has an index i, its children are found at indices ( for the left child ) and ( for the right ), while its parent ( if any ) is found at index ' ( assuming the root has index zero ).

The number of different binary trees on nodes is, the th Catalan number ( assuming we view trees with identical structure as identical ).

For example, if a game is played by wagering on the number that would result from the roll of one die, true odds would be 5 times the amount wagered since there is a 1 in 6 chance of any single number appearing, assuming that you get the original amount wagered back.

The two perspectives are related by a process of extension: wherever there is a horizon, a particular solution of General Relativity can be extended beyond it by assuming that nothing special happens there ( i. e., that it " looks like " the region within the horizon ).

During any shot, any disc that falls completely into the recessed central " 20 " hole ( aka the " Toad ") is removed from play, and counts as twenty points for the owner of the disc at the end of the round, assuming the shot is valid.

Made of gold-plated britannium on a black metal base, it is 13. 5 in ( 34 cm ) tall, weighs 8. 5 lb ( 3. 85 kg ) and depicts a knight rendered in Art Deco style holding a crusader's sword standing on a reel of film with five spokes.

The knight is the only piece that can leap over other pieces.

When a pawn advances to the eighth rank, as a part of the move it is promoted and must be exchanged for the player's choice of queen, rook, bishop, or knight of the same color.

In a Knights of Zodiac movie, there is an Eris ' ghost knight, represented by the Southern Cross.

In western Europe there emerged what is considered the " ultimate " heavy cavalry, the knight.

The Old Castilian language was also used to show the higher class that came with being a knight errant .- This last phrase is not completely accurate-In Don Quixote there are basically 2 different Castillian: Old Castillian is only spoken by Don Quixote, while the rest of the roles speak a much modern version of Spanish, pretty much understandable by the actual reader.

both Stained Quixote and Quixote from La Mancha ) is a hilarious name for a spotless knight.

If a knight is promoted or forced to retreat, its active status does not change.

As the likelihood of having the barbarian move closer to Catan is very high, a variant in common usage is that the robber ( and with Seafarers, the pirate ) does not move until the first barbarian attack, nor can a knight move the robber before that point.

In the two Henry IV plays, he is a companion to Prince Hal, the future King Henry V. A fat, vain, boastful, and cowardly knight, Falstaff leads the apparently wayward Prince Hal into trouble, and is ultimately repudiated after Hal becomes king.

The German word for English " knight " is Ritter, the Dutch ridder, the Swedish riddare, which is the cognate of English " rider "-but which carries vast social implications absent from the English word.

Galahad, illegitimate son of Lancelot and Elaine, the world's greatest knight and the Grail Bearer at the castle of Corbenic, is destined to achieve the Grail, his spiritual purity making him a greater warrior than even his illustrious father.

His offer is made on the surmise that the palmer was in reality a knight, York having observed his knight's chain and spurs ( a fact that he mentions to the palmer ).

On the first day of the tournament, a bout of individual jousting, a mysterious masked knight, identifying himself only as " Desdichado " ( which is described in the book as Spanish for the " Disinherited One ", though actually meaning " Unfortunate "), makes his appearance and manages to defeat some of the best Norman lances, including Bois-Guilbert, Maurice de Bracy, a leader of a group of " Free Companions " ( mercenary knights ), and the baron Reginald Front-de-Boeuf.

The masked knight declines to reveal himself despite Prince John's request, but is nevertheless declared the champion of the day and is permitted to choose the Queen of the Tournament.

Desdichado's side is soon hard pressed and he himself beset by multiple foes, when a knight who had until then taken no part in the battle, thus earning the sobriquet Le Noir Faineant ( or the Black Sluggard ), rides to Desdichado's rescue.

Cedric, who had not been present at Locksley's carousal, is ill-disposed towards the knight upon learning his true identity.

Wilfred of Ivanhoe, the titular character, is a knight and son of Cedric the Saxon.

A knight is a person granted an honorary title of knighthood by a monarch or other political leader for service to the monarch or country, especially in a military capacity.

Since the Early Modern period, the title of knight is purely honorific, usually bestowed by a monarch, as in the British honours system, often for non-military service to the country.

In conformance with the maximization principle we affirm that Gentile-Jewish relations will be harmonious or inharmonious to the degree that one relation or the other is expected by the active participants to yield the greatest net advantage, taking all value outcomes and effects into consideration.

In any event, the critical productivity of that time is abundant proof that if he was taking laudanum, it was never in command of him to the extent that it had been during his vagrant years.

His suggestion that the prestige colleges be made the training institutions for medical, law and graduate schools will run into strong opposition from these colleges themselves -- even though what he is recommending is already taking shape as a trend.

Then he thought of Aaron Blaustein standing in his rich house saying: `` God is tired of taking the blame.

This problem of fair and equitable assessment of value is a difficult one to solve in that the determination of fair valuation is dependent on local assessors, who in general are non-professional and part-time personnel taking an individualistic approach to the problem.

What is important here is that many of the cities and towns recognize the need for improved fiscal practices and are taking the initiative to obtain them.

The responsibility for taking the initiative in generating ideas is that of every officer in the Department who has a policy function, regardless of rank.

He is appreciative of the expert help available to him and draws these resources into play, taking care to examine at least some of the raw material which underlies their frequently policy-oriented conclusions.

The minimum total potential energy is found by taking the derivative with respect to H and equating to zero.

State governments have been taking the lead in establishing area vocational schools, but their focus is still on area job opportunities.

The impact of noncompliance under the Wagner-Peyser Act is clear: the withdrawal of some $11 million a year of administrative funds which finance our employment service program or, as a corollary, the taking over by the Federal Government of its operation.

If anything may be predicted in the quicksilver world of retailing, it seems likely that the suburban branch will come to dominate children's clothing ( taking the kid downtown is too much of a production ), household gadgetry and the discount business in big-ticket items.

The respectability which money confers implies a different etiquette, and, upon taking up the life of a London gentleman, Pip must learn from Herbert Pocket that `` the spoon is not generally used over-hand, but under ''.

In a growing number of American homes, marriage counselors report, the wife is taking a commanding role in sexual relationships.

If communication with an entity on the `` other side '' is taking place, this too may assume the form of clairvoyant symbolism.

When her brother Winslow became a student at Brown University in 1874, she wrote him about a course in history he was taking under Professor Diman: `` What is Prof. Diman's definition of civilization, and take the world through, is its progress ever onward, or does it retrograde at times??

`` It is a duty '', said Hough, `` not to let pass this opportunity of protesting against the methods of taking and printing testimony in Equity, current in this circuit ( and probably others ), excused if not justified by the rules of the Supreme Court, especially to be found in patent causes, and flagrantly exemplified in this litigation.

They seem to feel that because they fought on the right side during the Civil War, and won, they have earned the right merely to deplore what is going on in the South, without taking any responsibility for it ; ;

As a finale is appended a close-up of one of the band taking aim and firing his revolver straight at the audience.

The White House is taking extraordinary steps to check the rapid growth of juvenile delinquency in the United States.

With loud huzzahs for the artistic success of the Presbyterian-St. Luke's Fashion show still ringing in her ears, its director, Helen Tieken Geraghty ( Mrs. Maurice P. Geraghty ) is taking off tomorrow on a 56 day world trip which should earn her even greater acclaim as director of entertainment for next summer's International Trade fair.