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For and instance
`` For instance, regarding the fact that the Gross Committee issued two interim announcements to the press during its investigation.
For instance, college-educated people consistently show up in study after study as more often than others supporters of the Bill of Rights and other democratic rights and liberties.
For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.
For instance -- what about all those people Harold Rhodes went toward unhesitatingly, as if this were the one moment they would ever have together, their one chance of knowing each other??
For instance, a site adjoining other publicly owned lands, such as a national forest or a public road, may be desirable, whereas a site next to an industrial plant might not.
( For instance, see Example 2 of Section 5-5, on red cards in hands of 5.
For instance, the following statement was rated low in compulsivity, `` She's naturally quite neat about things, but it doesn't bother her at all if her room gets messy.
For instance, in giving school grades or in making recommendations for the award of a college scholarship, does he consciously or unconsciously favor students of one or another social class??
For instance, there have been two Presidential Commissions on higher education since World War 2.
For instance, the dreamer sees himself seated behind neighbor Smith and, with photographic realism, sees Smith driving the car ; ;
For instance:
`` For instance, Djakarta, Indonesia, has three groups of dancers interested in coming here.
For instance, the Edwin Pauleys Jr., formerly of Chantilly Rd., are now at home on North Arden Dr. in Beverly Hills.
For instance, we cannot know whether even for church members the degree of conformity to Christian standards of morality increased or declined as the proportion of church members in the population rose.
`` For instance, Hesperus agreed to help me find my property, and I agreed to take him to Earth.
For instance, a C-Leg knee alone is not a prosthesis, but only a prosthetic part.
For instance, the word " bank " has several distinct lexical definitions, including " financial institution " and " edge of a river ".
For instance, a local society in the middle of a large city may have regular meetings with speakers, focusing less on observing the night sky if the membership is less able to observe due to factors such as light pollution.
For instance, according to Classical Arabic and Modern Standard Arabic, the Arabic root ( to sacrifice ) can be derived the forms ( he sacrificed ), ( you ( masculine singular ) sacrificed ), ( he slaughtered ), ( he slaughters ), and ( slaughterhouse ).
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 instance, the n
For instance, in 51, Agrippina ordered the execution of Britannicus ’ tutor Sosibius because he had confronted her and was outraged by Claudius ’ adoption of Nero and his choice of Nero as successor, instead of choosing his own son Britannicus.
For instance, antibacterial resistance genes can be exchanged between different bacterial strains or species via plasmids that carry these resistance genes.
For instance, iron changes from a body-centered cubic structure ( ferrite ) to a face-centered cubic structure ( austenite ) above 906 ° C, and tin undergoes a transformation known as tin pest from a metallic phase to a semiconductor phase below 13. 2 ° C.
For instance member nations of the Commonwealth where English is not spoken natively, such as India, often closely follow British English forms, while many American English usages are followed in other countries which have been historically influenced by the United States, such as the Philippines.

For and geometric
For two geometric objects P and Q represented by the relations P ( x, y ) and Q ( x, y ) the intersection is the collection of all points ( x, y ) which are in both relations.
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 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.

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