These are defined by a simple involutorial transformation of the points in which a general line meets a nonsingular quadric surface bearing a curve of symbol Af.

These points form a line, and y = x is said to be the equation for this line.

These novels differ from the Western tradition in several points as described by van Gulik:

These locations are also filled with objects with which the player can interact, that either benefit the player in some form ( light switches make it easier to see, while water fountains and broken hydrants provide some health points ) or simply provide diversion ( tipping strippers provokes a quote from Duke and a provocative reveal from the dancer ).

These points are often abbreviated as DORA ( Discovery, Offer, Request, Acknowledgement ).

These points are a Poincaré section S ( γ, x < sub > 0 </ sub >), of the orbit.

These E and B fields are also in phase, with both reaching maxima and minima at the same points in space ( see illustrations ).

These cost from 0 to 3 or more points depending on whether they should be considered Frequent, Major ( or even " Twice Major ", for especially powerful abilities that significantly affect gameplay ) and / or Versatile.

These points of intersection are called equinoctial points: classically, the vernal point ( RA = 00 < sup > h </ sup > 00 < sup > m </ sup > 00 < sup > s </ sup > and longitude

These numbers are highly speculative ; many sources give vague ideas of the unemployment rating being ( for example, in 2003 ) around 50 %, giving the impression that the actual rate could be several percentage points higher or lower.

These shallow bodies of water allow limited transportation to points along the coast.

These last three points seem to carry the implication that " hoosier " may have been used as an insult in other parts of the country.

These fuel grade kerosenes meet specifications for smoke points and freeze points.

These pilotis, in providing the structural support for the house, allowed him to elucidate his next two points: a free façade, meaning non-supporting walls that could be designed as the architect wished, and an open floor plan, meaning that the floor space was free to be configured into rooms without concern for supporting walls.

These missions generally orbit the points rather than occupy them directly.

These points are widely noted in the secondary literature.

These two properties are not contradictory, because in the optimal geometrical arrangement, there is more magnetic moment from the sublattice of electrons that point in one direction, than from the sublattice that points in the opposite direction.

These were followed by Gregory Benford's The Martian Race ( 1999 ), Geoffrey A. Landis's Mars Crossing ( 2000 ), and Robert Zubrin's First Landing ( 2002 ), which took as their starting points the smaller and more focussed expedition strategies evolved in the late 1990s, mostly building on the concepts of Mars Direct.

These discourses, transcribed or worked up by close disciples from points given by Baba, address many aspects of the spiritual life and provide practical and simple direction for the spiritual aspirant.

These stellar conditions make the successive neutron captures very fast, involving very neutron-rich species which then beta-decay to heavier elements, especially at the so-called waiting points that correspond to more stable nuclides with closed neutron shells ( magic numbers ).

These connection points are called " ports " or " pins ", among several other names.

These are usually illustrated with " paradoxes " in which an event appears different when observed from two different points of view, seeming to violate " common sense ".

These my grandmother left in their places ( they are still there, more persistent and longer-lived than the generations of man ) and planted others like them, that flourished without careful tending.

These lines never cease to haunt the book amidst all the exaltations of combat, and to make an appeal for a larger and more elemental human community than one based on the brutal necessities of war.

These trumps were more touching than they were anything else, and seemed to imply that the nights were long, her children ungrateful, and her marriage bewilderingly threadbare.

These involve more the mechanics employed in adjusting to fiscal uniformity than they do actual disadvantages to the principle.

These amendments to the Vocational Rehabilitation Act were designed to help provide for more specialized rehabilitation facilities, for more sheltered and `` half-way '' workshops, for greater numbers of adequately trained personnel, for more comprehensive services to individuals ( particularly to the homebound and the blind ), and for other administrative improvements to increase the program's overall effectiveness.

These expenditures are estimated to be $12.1 billion, an increase of $187 million over 1960, reflecting additional longevity pay of career personnel, more dependents, an increased number of men drawing proficiency pay, and social security tax increases ( effective for the full year in 1961 compared with only 6 months in 1960 ).

These examples underscore the importance of even more searching evaluations of new major development programs and even more penetrating and far-ranging analyses of the potentialities of future technology.

These systems are more expensive than year-'round forced air systems.

These are becoming more and more available through the work of counties and other government agencies.

These units make it easy to load as much as 48,000 bd/ft ( say 120,000 lb in a 50' box car ) much more than the average for loose-loaded cars.

These observations indicate that the lunar maria heat up more rapidly and also cool off more rapidly than do the mountainous regions.

These are fluids which one would expect to be less viscoelastic or more Newtonian because of their lower molecular weight.

These changes were more marked in the atrophic right kidney than in the left.

These words are more expressive than labels like `` A '' and `` not-A ''.

These students, although they might read various articles in popular magazines, more often chose to report on articles found in the journals.

These minimum costs may come to $1 per month, more or less, for residential and small commercial customers, although they are substantially higher for large industrial users, who require more costly connections and metering devices.

These stores are still there, but the volume of the `` downtown store '' has been on a relative decline, while in many cities the suburban `` branch '' sells more and more dry goods.

These have sought more and more of what they have.

These were the ones Keith sought out -- the loners, the ones who killed for the joy of it, like himself.

These were the last words he ever uttered.

These two were going to be easy pickins.

These performances were being staged at historical monuments throughout Europe.

These were Oneida Indians.

These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.

These basic ideas concerning the nature of religion were, Adams believed, some of the major keys to the understanding of history and the movement of society.

These were his public academic activities, domi forisque, in the college and in the university.

These early experiments were evidently not altogether satisfying to Patchen.

These people were not talking much about it, but you, a foreigner, sensed their apprehension and disappointment.

These public efforts were rare because Mr. Rayburn normally did his counseling, persuading and educating long before an issue reached its test on the House floor.

These microfossils indicate the swamp was `` formed during the Lower Cretaceous period when dinosaurs were at their heyday and when the first flowering plants were just appearing.

These were heroes nine feet tall to him ''.

These little songs, however, were sweet nothings from the heart, tender memories of his childhood, little melodies that anyone could hum and that would make one want to weep.

These were the ships of His Majesty's Navy, herding the hulks of the East Indies merchants and the yachts and ketches of the loyalists.

These were selected carefully and included not only detailed clinical information but adequate pathology of value for research and educational purposes.

These plans, like Du Pont's, contained provisions for passing the vote on Du Pont's General Motors shares on to the ultimate stockholders of Du Pont, Christiana, and Delaware, except that officers and directors of the three companies, their spouses, and other people living in their households, as well as other specified persons, were to be totally disenfranchised.

These curves were derived by an analysis of extensive skywave measurement data.

These were educated men, who, as Mr. Justice Holmes was fond of saying, formed their inductions out of experience under the burden of responsibility.

These boys acknowledged an introduction to anybody by gently pressing one of his hands in both of theirs, while they gazed, misty-eyed with care, into the eyes of the person they were meeting.