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Page "Compact space" ¶ 41
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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 diagonal
For any such square the middle corner of these will be called the vertex of the square and the corner not on the curve will be called the diagonal point of the square.
For any rectangular section on a round tube, the diagonal measurement is also the diameter of the tube.
For example, if a diagonal line with a width smaller than a full pixel must be rendered, then this can be done by lighting only the subpixels that the line actually touches.
For example, if we can enumerate all such definable numbers by the Gödel numbers of their defining formulas then we can use Cantor's diagonal argument to find a particular real that is not first-order definable in the same language.
For other examples, see proof that the square root of 2 is not rational and Cantor's diagonal argument.
For the specific game of Othello ( as technically differing from Reversi ), the rules state that the game begins with four disks placed in a square in the middle of the grid, two facing light-up, two pieces with the dark side up, with same-colored disks on a diagonal with each other.
For example, Castleden suggested that " colons " found punctuating vertical and diagonal symbols may represent separations between words.
For example, if J is a discrete category, the components of the unit are the diagonal morphisms δ: N → N < sup > J </ sup >.
For a diagonal matrix, this is true only if each element of the main diagonal — that is, every eigenvalue of M — is positive.
For example, they argue that the Pythagorean position that all is number, and the associated crisis of confidence that came about with the discovery of the irrationality of the square root of two, arises solely from a metaphorical relation between the length of the diagonal of a square, and the possible numbers of objects.
For example, the horse's straightness going across the diagonal may be assessed by judges at M and H. Judges in the United States are licensed by the USEF for different levels of competition, depending on the judge's experience and training.
For example, the conventional proof of the unsolvability of the halting problem is essentially a diagonal argument.
For full-frame 35 mm-format cameras, the diagonal is 43 mm and a typical " normal " lens has a 50 mm focal length.
More explicitly: For every symmetric real matrix A there exists a real orthogonal matrix Q such that D = Q < sup > T </ sup > AQ is a diagonal matrix.
For example, the following matrix is diagonal:
For still photography, a lens with a focal length about equal to the diagonal size of the film or sensor format is considered to be a normal lens ; its angle of view is similar to the angle subtended by a large-enough print viewed at a typical viewing distance equal to the print diagonal ; this angle of view is about 53 ° diagonally.
For cinematography, where the image is normally viewed at a greater distance, a lens with a focal length of roughly double the film or sensor diagonal is considered ' normal '.
For a cyclic quadrilateral that is also orthodiagonal ( has perpendicular diagonals ), suppose the intersection of the diagonals divides one diagonal into segments of lengths p < sub > 1 </ sub > and p < sub > 2 </ sub > and divides the other diagonal into segments of lengths q < sub > 1 </ sub > and q < sub > 2 </ sub >.
For example, the following matrix has 1s down its main diagonal:
For a full-frame 35 mm camera with a 36 mm by 24 mm format, the diagonal measures 43. 3 mm and by custom, the normal lens adopted by most manufacturers is 50 mm.
For a diagonal matrix A, the characteristic polynomial is easy to define: if the diagonal entries are a < sub > 1 </ sub >, a < sub > 2 </ sub >, a < sub > 3 </ sub >, etc.

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