For it is clear that the total number of ordinary intersections of C and Af must be even ( otherwise, starting in the interior of C, Af could not finally return to the interior ), and the center of rotation at T is the argument of the function, not a value.

For example, if a triangle is constructed out of three rays of light, then in general the interior angles do not add up to 180 degrees due to gravity.

For example, an exterior shot of a building at night followed by an interior shot of people talking implies that the conversation is taking place at night inside that building-the conversation may in fact have been filmed on a studio set far from the apparent location, because of budget, permits or time limitations.

For example, a typical conversion of a production car for rallying will include a metal firewall which seals the fuel tank off from the interior of the vehicle.

For example, helping an old lady across the road ( good exterior act ) to impress someone ( bad interior act ) is wrong.

For nearly eight years, he patiently mustered men and supplies for a trip to the interior and finally left Santa Catarina with several European companions to raid the dominions of " El Rey Blanco ".

For at least a portion of its life, a star shines due to thermonuclear fusion of hydrogen into helium in its core, releasing energy that traverses the star's interior and then radiates into outer space.

For centuries the Homs Gap has been a favorite trade and invasion route from the coast to the country's interior and to other parts of Asia.

For example, the sum of the interior angles of a spherical triangle exceeds 180 degrees.

For natural lighting of interior spaces by admitting sunlight, see Daylighting.

For all but the lowest-mass stars, the fused material has remained deep in the stellar interior prior to this point, so the convecting envelope makes fusion products visible at the star's surface for the first time.

For most of the series run, the exterior doors of the police box operated separately from the heavier interior doors, although sometimes the two sets could open simultaneously to allow the ship's passengers to look directly outside and vice versa.

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

For example, the set of rational numbers, as a subset of R has the property that the interior has an empty closure, but it is not nowhere dense ; in fact it is dense in R.

For opaque specimens, this is useful for surface profiling, while for non-opaque specimens, interior structures can be imaged.

For interior imaging, the quality of the image is greatly enhanced over simple microscopy because image information from multiple depths in the specimen is not superimposed.

For more on this matter, see interior operator below.

For example, an ant living on a sphere could measure the sum of the interior angles of a triangle and determine that it was greater than 180 degrees, implying that the space it inhabited had positive curvature.

For New York Movie ( 1939 ), Hopper demonstrates his thorough preparation with more than 53 sketches of the theater interior and the figure of the pensive usherette.

For example a heat pump water heater could cool the interior of a home, reducing or eliminating the need for air conditioning.

For thousands of years, the area was home to the Chumash tribe of Native Americans, complex hunter-gatherers who lived along the coast and in interior valleys leaving rock art in many locations including Painted Cave.

For hundreds of years, the hill served as a landmark on the Ottawa River for First Nations and, later, European traders, adventurers, and industrialists, to mark their journey to the interior of the continent.

For 1999, the Mustang received Ford's New Edge styling theme with sharper contours, larger wheel arches, and creases in its bodywork, but its basic proportions, interior design, and chassis remained the same as the previous model.

For Rothko, this commission presented a new challenge for it was the first time he was required not only to design a coordinated series of paintings, but to produce an artwork space concept for a large, specific interior.

For instance, we read of Whiting, the last abbot of Glastonbury, judicially murdered by Henry VIII, that his house was a kind of well-ordered court, where as many as 300 sons of noblemen and gentlemen, who had been sent to him for virtuous education, had been brought up, besides others of a lesser rank, whom he fitted for the universities.

For many years he was a member of Madison Avenue Presbyterian Church, pastored from 1905 to 1926 by Social Gospel exponent Henry Sloane Coffin, while his wife and daughter belonged to the Brick Presbyterian Church.

For different reasons, various constitutionalists have praised the Act of Settlement: Henry Hallam called the act in the United Kingdom " the seal of our constitutional laws " and David Lindsay Keir placed its importance above the Bill of Rights 1689.

Professor Henry Higgins sings, " Look at her, a prisoner of the gutters / Condemned by every syllable she utters / By right she should be taken out and hung / For the cold-blooded murder of the English tongue.

For example, after Henry V of England defeated a French army on October 25, 1415, he met with the senior French herald and they agreed to name the battle after the nearby castle and so it was called the Battle of Agincourt.

For The Pawnshop he recruited the actor Henry Bergman, who was to work with Chaplin for 30 years.

For six months, she served as regent of England while Henry VIII was in France.

For this reason Henry summoned Eleanor to Normandy in the late summer of 1183.

For example, one key meeting location was in the U. S. at the Dakin Building, then owned by American philanthropist Henry Dakin, who had extensive Russian contacts: During the late 1980s, as glasnost and perestroika led to the liquidation of the Soviet empire, the Dakin building was the location for a series of groups facilitating United States-Russian contacts.

For the Dutch prince sometimes known as " Henry the Navigator ", see Prince Henry of the Netherlands.

For his part in the potential marriage alliance, Henry II transferred the castles of Chinon, Loudun and Mirebeau into John's name ; as John was only five years old his father would continue to control them for practical purposes.

For example, many 18th-and 19th-century scholars, including Samuel Johnson, Lewis Theobald, George Steevens, Edmond Malone, and James Halliwell-Phillipps, placed the composition of Henry VIII prior to 1604, as they believed Elizabeth's execution of Mary, Queen of Scots ( the then king James I's mother ) made any vigorous defence of the Tudors politically inappropriate in the England of James I. Oxfordians cite these sources to place the composition of the play within Oxford's lifetime.

For a time during the 19th century pantheism was the theological viewpoint of many leading writers and philosophers, attracting figures such as William Wordsworth and Samuel Coleridge in Britain ; Johann Gottlieb Fichte, Friedrich Wilhelm Joseph Schelling and Georg Wilhelm Friedrich Hegel in Germany ; Walt Whitman, Ralph Waldo Emerson and Henry David Thoreau in the USA.

" Though Spinoza has been called the " prophet " and " prince " of pantheism, in a letter to Henry Oldenburg Spinoza states that: " as to the view of certain people that I identify god with nature ( taken as a kind of mass or corporeal matter ), they are quite mistaken " For Spinoza, our universe ( cosmos ) is a mode under two attributes of Thought and Extension.

For example, Bill Haley's incompletely bowdlerized cover of " Shake, Rattle and Roll " transformed Big Joe Turner's humorous and racy tale of adult love into an energetic teen dance number, while Georgia Gibbs replaced Etta James's tough, sarcastic vocal in " Roll With Me, Henry " ( covered as " Dance With Me, Henry ") with a perkier vocal more appropriate for an audience unfamiliar with the song to which James's song was an answer, Hank Ballard's " Work With Me, Annie ".

For example, " Tumbling Tumbleweeds " by Bob Nolan was chosen for the Stranger at the time the Coens wrote the screenplay, as was " Lujon " by Henry Mancini for Jackie Treehorn.

Yojimbo was also the origin of the " Man with No Name " trend which included Sergio Leone's For a Few Dollars More, and The Good, The Bad and The Ugly both also starring Clint Eastwood, and arguably continued through his 1968 opus Once Upon a Time in the West, starring Henry Fonda, Charles Bronson, Claudia Cardinale, and Jason Robards.

For 11 years Tubman returned again and again to the Eastern Shore of Maryland, rescuing some 70 slaves in about 13 expeditions, including her three other brothers, Henry, Ben, and Robert, their wives and some of their children.

For a quarter of a century following Henry V's death in 1125 the German monarchy was largely a nominal title with no real power.

For example, it produced this partial line from Henry IV, Part 2, reporting that it took " 2, 737, 850 million billion billion billion monkey-years " to reach 24 matching characters:

* For the influence of the Great Awakening on Eighteenth-century Canada see Henry Alline.

For eighteen months, in 1410 – 11, Henry was in control of the country during his father's ill health, and he took full opportunity to impose his own policies, but when the king recovered, he reversed most of these and dismissed the prince from his council.

For example, Henry Ireton stated, " no man hath a right to an interest or share in the disposing of the affairs of the kingdom ... that hath not a permanent fixed interest in this kingdom.