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On the geometric side ( see integral geometry ) contributors to The Educational Times were influential ( Miller, Crofton, McColl, Wolstenholme, Watson, and Artemas Martin ).
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On and geometric
On a " global " level, whenever a Lie group acts on a geometric object, such as a Riemannian or a symplectic manifold, this action provides a measure of rigidity and yields a rich algebraic structure.
On the other hand, irregular curves represented by simple geometric shapes may be made proportionally wider when zooming in, to keep them looking smooth and not like these geometric shapes.
Although named after Dutch astronomer Willebrord Snellius ( 1580 – 1626 ), the law was first accurately described by the Arab scientist Ibn Sahl at Baghdad court, when in 984 he used the law to derive lens shapes that focus light with no geometric aberrations in the manuscript On Burning Mirrors and Lenses ( 984 ).
Lie obtained his PhD at the University of Christiania ( present day Oslo ) in 1871 with a thesis entitled On a class of geometric transformations.
On the sphere the geodesics are the great circles ; other geometric concepts are defined as in plane geometry but with straight lines replaced by great circles.
On the other hand, Euclidian optics provided a geometric model that was able to account for this, as well as the length of shadows and reflections in mirrors, because Euclid believed that the visual " rays " could only travel in straight lines ( something which is commonly accepted in modern science ).
# On the arithmetic, geometric and harmonic means between two straight lines, and the problem of representing all three in one and the same geometrical figure.
On certain planets, the Locals are geometric shapes: squares, circles and triangles.
On an oriented manifold, the proportionality of any two volume forms can be thought of as a geometric form of the Radon – Nikodym theorem.
The number of whorls which exist in an adult shell of a particular species depends on mathematical factors in the geometric growth, as described in work of D ’ Arcy Wentworth Thompson ( On Growth and Form ) and David Raup.
On some folios, the differing colors of ink are arranged to form geometric patterns.
* Corrado Segre ( 1904 ) " On some tendencies in geometric investigations ", translated by J. W. Young, Bulletin of the American Mathematical Society 10 ( 9 ): 442 – 68.
Nicolaus Copernicus, in his On the Revolutions of the Heavenly Spheres ( 1543 ), demonstrated that the motion of the heavens can be explained without the Earth's being in the geometric center of the system.
On and side
On the downstream, or `` pavilion '', side these vaults give out onto terraces twice as wide as the bridge itself.
On his father's side he was of German descent, on his mother's he came of the old Swedish nobility.
`` On each side of the Hoogli, where we are now sailing, are the Hindoo cottages, as thick together as the houses in our seaports.
On the social side, the chore Mama had at the formal receptions at the White House thrilled her the most.
On Christmas Eve, students brought out two small Christmas trees which I placed on either side of the tent.
On the other side are the Celtic survivalists who have taken a tack divergent from both these schools of nineteenth century thought.
Even so, it adds up to impossible odds, except that the question arises, On whose side would the Mainland Chinese army fight??
On the other side of the church was a quiet, well-kept house with shutters and recently painted.
On the east side of the island of Manhattan the indifferent hawk knew the East River that connected New York Bay with Long Island Sound.
On the other side of the Golden Horn I rode through Eminonu Square, with Yeni Cami, or the New Mosque, which dates from the Seventeenth Century, just across from the entrance to the bridge.
On each side of the motor well there's storage for battery, bumpers, line and spare props with six-gallon gas tanks below.
On C, from the point P at Af to the point Q at Af, we construct the chord, and upon the chord as a side erect a square in such a way that as S approaches zero the square is inside C.
On the one side we have the university professors and their students, trained in Teutonic methods of research, who have sought out, collected and studied the true products of the oral traditions of the ethnic, regional and occupational groups that make up this nation.
On the other side of the ledger is the fact that he did see his niece and the woman with whom she was staying.
On his side of the road there were two farm hands, well back in a field, leaning against a plow.
On this side of the Bay, Miami Beach cops had no more legal rights than any ordinary citizen, and Shayne's pistol permit was just as good as theirs.
On the negative side of the balance sheet must be set some disappointment that the United States leadership has not been as much in evidence as hoped for.
More: On the free world side.
On the positive side, recent Federal action has largely undermined the legal sanction so long enjoyed by the segregationist position ; ;
`` On the side toward the horizon -- the southern hemisphere -- it is spring ; ;
" On the biological or physical side, human measurements, genetic samples, nutritional data may be gathered and published as articles or monographs.
On the surface of the ground or in water they move by undulating their body from side to side.
On September 13, 1861, in view of the decision of the Kentucky legislature to side with the Union after the occupation of Columbus by Polk, Johnston ordered Brig.
On the opposite side of the continent,
On and see
On this trip to the South he wants, above all else, to sniff the effluvium of backwoods-and-sand-hill subhumanity and to see at least one barn burn at midnight ''.
On Sundays he would walk miles into the campagna to visit with them, and in particular to see their horses.
On the contrary, if this be an apocalyptic era as is commonly said, we see it as an era of opportunity.
On February 17, Russell and Cook were sent to the Pena Flor community on the Vermejo to see about renting out ranches the company had purchased.
On the second landing he paused to look for Docherty, didn't see him, and accepted a glass of champagne.
On my way out I told her, `` If you should eh just happen to see your husband, get him to give himself up.
On January 2 366 the Alemanni yet again crossed the frozen Rhine in large numbers, to invade the Gallic provinces, this time being defeated by Valentinian ( see Battle of Solicinium ).
On May 28, 585 BC, during the Battle of Halys fought against Cyaxares, king of Media, a solar eclipse took place ( see also Thales ); hostilities were suspended, peace concluded, and the Halys fixed as the boundary between the two kingdoms.
On the basis of these traditions, the churches in question often claim to have inherited specific authority, doctrines and / or practices on the authority of their founding apostle ( s ), which is understood to be continued by the bishops of the see ( seat ) or throne of the church that each founded and whose original leader he was.
On an anemometer with four cups it is easy to see that since the cups are arranged symmetrically on the end of the arms, the wind always has the hollow of one cup presented to it and is blowing on the back of the cup on the opposite end of the cross.
On 7 September 1940, Bulgaria succeeded in negotiating a recovery of Southern Dobruja with the Treaty of Craiova ( see Second Vienna Award ).
On the converse, regions of a genome that need to separate frequently — for example, the promoter regions for often-transcribed genes — are comparatively GC-poor ( for example, see TATA box ).
On April 1970, US President Nixon announced to the American public that US and South Vietnamese ground forces had entered Cambodia in a campaign aimed at destroying NVA base areas in Cambodia ( see Cambodian Incursion ).
On a clear day, it is possible to see both the Caribbean and the Pacific from the peak.
A player wishing to play craps without being the shooter should approach the craps table and first check to see if the dealer's " On " button is on any of the point numbers.
( On Peirce and process metaphysics, see Lowe 1964.
On the back she wrote " It is funny, I never used to see them in Africa.
On 4 February 2008 an Israeli woman was killed and 38 others injured in the town by a Palestinian suicide bomber ( see Dimona bombing ).
On the other hand, it is not immediately clear how to physically see, touch or measure the goodness of a novel or the rightness of an action.
On either the second Monday or Tuesday of Pascha, after a memorial service people bring blessed eggs to the cemetery and bring the joyous paschal greeting, " Christ has risen ", to their beloved departed ( see Radonitza ).
On the same day that some of the concert footage was being filmed, an IRA bomb killed eleven people at a Remembrance Day ceremony in Enniskillen ( see Remembrance Day Bombing ).
On his last journey to Jerusalem, the apostle landed at Miletus and, summoning together the elders of the church from Ephesus, delivered to them a farewell charge, expecting to see them no more.
On the latter Jacob Grimm does not make a direct association to the elves, but other researchers see a possible connection to the shining light elves of Old Norse.
On very poor soils, and especially where fire is a recurrent phenomenon, woody savannas develop ( see ' sparse trees and parkland ').
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