`` For instance, regarding the fact that the Gross Committee issued two interim announcements to the press during its investigation.

For some time, despondency in some Northern quarters had been displayed in two ways -- an eagerness for peace and a dissatisfaction with Lincoln.

For this reason, then I want to describe, first, two examples of the puritanical attacks: Stephen Gosson's The School Of Abuse, 1579, and his later Playes Confuted, published in 1582.

For a dawning sense of illumination occurs in consequence of two events which, as so often in Malraux, suddenly confront a character with the existential question of the nature and value of human life.

For some time the Communists honored the distinction between the Soviet zone of Germany and the Soviet sector of Berlin by promulgating separately the laws for the two areas.

For the first time in history the entire world is dominated by two large, powerful nations armed with murderous nuclear weapons that make conventional warfare of the past a nullity.

For the States which maintain two separate agencies -- one for the vocational rehabilitation of the blind, and one for the rehabilitation of persons other than the blind -- the Act specifies that their minimum ( base ) allotment shall be divided between the two agencies in the same proportion as it was divided in fiscal year 1954.

For the last two years, this frontier of the arts has produced a number of so-called `` non-dramas '' which have left indelible, bittersweet impressions on the psyche of this veteran theatregoer.

For if it did, the plane of L and l' would contain two generators of Af, which is impossible.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

For each of these lines meets Q in three points, namely two points on **zg and one point on one of the multiple secants.

For Athabascan, with a greater range of stems, the first two of five corresponding columns were identical, 1 and 2 stems ; ;

For the purposes of this discussion, the problem of relative prices is encompassed in these two variables, since GNP includes other prices.

For instance, there have been two Presidential Commissions on higher education since World War 2.

For example, he cites the following data from two studies on job satisfaction: in the first study, 85 per cent of professionals and executives, 64 per cent of white collar people, and 41 per cent of factory workers expressed satisfaction with their jobs ; ;

For purely inertial navigators, two techniques are available to accomplish the platform heading: Use of external or surveying equipment to establish proper heading ; ;

For example, the BBB has reported it was receiving four times as many inquiries about quack devices and 10 times as many complaints compared with two years ago.

For almost two months, the defendant and the world heard from individuals escaped from the grave about fathers and mothers, graybeards, adolescents, babies, starved, beaten to death, strangled, machine-gunned, gassed, burned.

For a time there were two factions on the campus fighting for possession of the student body.

For two hours they drove her from one strong point to another along the side of the Reef, trying to maneuver her onto the plain where they could get a good throw.

For a moment or two, both scenes are present simultaneously, one growing weaker, one growing stronger.

For two years his friend and cousin, Boisbriant, remained as acting governor and could do little to stem the Anglican advance.

For another second or two he gave in to the annoyance that was directed at himself ; ;

For instance, volume and Riemannian curvature are invariants that can distinguish different geometric structures on the same smooth manifold — that is, one can smoothly " flatten out " certain manifolds, but it might require distorting the space and affecting the curvature or volume.

For example, the geometric mean can give a meaningful " average " to compare two companies which are each rated at 0 to 5 for their environmental sustainability, and are rated at 0 to 100 for their financial viability.

For instance, the geometric mean of two numbers, say 2 and 8, is just the square root of their product ; that is.

For all positive data sets containing at least one pair of unequal values, the harmonic mean is always the least of the three means, while the arithmetic mean is always the greatest of the three and the geometric mean is always in between ( see Inequality of arithmetic and geometric means.

For example, the geometric mean of 2 and 8 can be calculated as:

For instance, if one graphs a set of solutions of an equation in some higher dimensional space, he may ask about the geometric properties of the graph.

For example, the geometric mean of five values: 4, 36, 45, 50, 75 is:

For example, a similar geometric system was published in 1987 by Kjell Gustafson, whose method represents a rhythm as a two-dimensional graph.

For a given geometric figure in a given geometric space, consider the following equivalence relation: two automorphisms of space are equivalent if and only if the two images of the figure are the same ( here " the same " does not mean something like e. g. " the same up to translation and rotation ", but it means " exactly the same ").

For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy .< ref name =" Stillwell Infinite Series Early Results "> Later, Greek mathematicians such as Eudoxus and Archimedes made more explicit, but informal, use of the concepts of limits and convergence when they used the method of exhaustion to compute the area and volume of regions and solids.

For example, visual hallucinations during occipital lobe seizures are typically visions of brightly colored, geometric shapes that may move across the visual field, multiply, or form concentric rings and generally persist from a few seconds to a few minutes.

For the geometric parameter of bicycles, see Bicycle and motorcycle geometry.

: For " outer product " in geometric algebra, see exterior product.

For example, quantum finite automaton, geometric automaton and metric automaton have probabilistic acceptance.

For instance, the substitution x → ax gives the generating function for the geometric sequence 1, a, a < sup > 2 </ sup >, a < sup > 3 </ sup >,... for any constant a:

For example, the primitive equations which weather forecast models solve are more easily expressed in terms of geopotential than geometric height.

For instance in face recognition those geometric constraints can be obtained using principal component analysis ( PCA ) on a database of depth-maps of faces, allowing only surface normals solutions which are found in a normal population.

For example, in his treatise on mineralogy, Kitab al-Jamahir ( Book of Precious Stones ), he is " the most exact of experimental scientists ", while in the introduction to his study of India, he declares that " to execute our project, it has not been possible to follow the geometric method " and develops comparative sociology as a scientific method in the field.

For an infinitesimal deformation the displacements and the displacement gradients are small compared to unity, i. e., and, allowing for the geometric linearisation of the Lagrangian finite strain tensor, and the Eulerian finite strain tensor, i. e. the non-linear or second-order terms of the finite strain tensor can be neglected.

For infinitesimal deformations of a continuum body, in which the displacements and the displacement gradients are small compared to unity, i. e., and, it is possible to perform a geometric linearisation of the Lagrangian finite strain tensor, and the Eulerian finite strain tensor.

For his part Archimedes was the first to calculate the value of π and a geometric series, and also the earliest known mathematical physicist discovering the law of buoyancy, as well as conceiving the irrigation device known as Archimedes ' screw.

For a vector to represent a geometric object, it must be possible to describe how it looks in any other coordinate system.