For any pencil in a plane containing a Af-fold secant of **zg has an image regulus which meets the plane of the pencil in Af lines, namely the images of the lines of the pencil which pass through the intersection of **zg and the multiple secant, plus an additional component to account for the intersections of the images of the general lines of the pencil.

For example, given two image elements A and B, the most common compositing operation is to combine the images such that A appears in the foreground and B appears in the background.

For movie animations, several images ( frames ) must be rendered, and stitched together in a program capable of making an animation of this sort.

For these reasons, rasterization is usually the approach of choice when interactive rendering is required ; however, the pixel-by-pixel approach can often produce higher-quality images and is more versatile because it does not depend on as many assumptions about the image as rasterization.

For agent does not have complete control over what chance images and other thoughts enter his mind or influence his deliberation.

For images of fractal patterns, this has been expressed by phrases such as " smoothly piling up surfaces " and " swirls upon swirls ".

For example, Graffiti Research Lab has encouraged the use of projected images and magnetic light-emitting diodes as new media for graffiti writers.

For example, the economist Irving Fisher said in a 1912 address to the Eugenics Research Association: " The Nordic race will ... vanish or lose its dominance if, in fact, the whole human race does not sink so low as to become the prey, as H. G. Wells images, of some less degenerate animal!

For example, Joseph Goering of the University of Toronto has identified sources for Grail imagery in 12th century wall paintings from churches in the Catalan Pyrenees ( now mostly removed to the Museu Nacional d ' Art de Catalunya, Barcelona ), which present unique iconic images of the Virgin Mary holding a bowl that radiates tongues of fire, images that predate the first literary account by Chrétien de Troyes.

For images, this step can be repeated by taking the difference to the top pixel, and then in videos, the difference to the pixel in the next frame can be taken.

For 3D deconvolution, one typically provides a series of images derived from different focal planes ( called a Z-stack ) plus the knowledge of the PSF, which can be derived either experimentally or theoretically from knowing all contributing parameters of the microscope.

For example, in a print called " Reptiles ", he combined two and three-dimensional images.

For example, a non-identity finite group is simple if and only if it is isomorphic to all of its non-identity homomorphic images, a finite group is perfect if and only if it has no normal subgroups of prime index, and a group is imperfect if and only if the derived subgroup is not supplemented by any proper normal subgroup.

For flat mirrors, the law of reflection implies that images of objects are upright and the same distance behind the mirror as the objects are in front of the mirror.

For the first several decades of television broadcasting, sets displayed images with a 4: 3 aspect ratio in which the width is 1. 33 times the height — similar to most theatrical films prior to 1960.

For Pi Day 2010, Google presented a Google Doodle celebrating the holiday, with the word Google laid over images of circles and pi symbols.

For images with a modest range of brightnesses from the darkest to the lightest, eight bits per primary color provides good-quality images, but extreme images require more bits per primary color as well as advanced display technology.

For the same reason, BSE imaging can image colloidal gold immuno-labels of 5 or 10 nm diameter, which would otherwise be difficult or impossible to detect in secondary electron images in biological specimens.

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 a US weekly magazine used two images of Derrida, a photo and a caricature, to illustrate a " dossier " on the Sokal article in which Derrida's name didn't appear once.

For instance, text-analyzing techniques can now be easily bypassed by using other words, metaphors for instance, or by using images in place of words.

Harold Clurman is right to say that `` Waiting For Godot '' is a reflection ( he calls it a distorted reflection ) `` of the impasse and disarray of Europe's present politics, ethic, and common way of life ''.

For a time it appeared that a common European army might be created, but the project for a European Defense Community was rejected by the French National Assembly in 1954.

For punched-card or tape storage of information all literature values must be conformed to a common language.

The new `` School For Wives '' was interpreted according to a principle that is becoming increasingly common in the playing of classic comedy -- the idea of turning some obviously ludicrous figure into a tragic character.

For most of these scripts, regardless of whether letters or diacritics are used, the most common tone is not marked, just as the most common vowel is not marked in Indic abugidas ; in Zhuyin not only is one of the tones unmarked, but there is a diacritic to indicate lack of tone, like the virama of Indic.

For much of the 19th and early 20th centuries, many linguists who studied Turkic, Mongolic, and Tungusic regarded them as members of a common Ural – Altaic family, together with Finno-Ugric and Samoyedic, based on such shared features as vowel harmony and agglutination.

For example, paintings glorified aristocracy in the early 17th century when leadership was needed to nationalize small political groupings, but later as leadership became oppressive, satirization increased and subjects were less concerned with leaders and more with more common plights of mankind.

For example, a common claim is that individuals who are diagnosed with one of the so-called " lesser disabilities " are being " accommodated " when they should not be.

For many years there was confusion amongst botanists over the generic names Amaryllis and Hippeastrum, one result of which is that the common name " amaryllis " is mainly used for cultivars of the genus Hippeastrum, widely sold in the winter months for their ability to bloom indoors.

For other words ( such as dreamed, leaned, and learned ) the regular forms are somewhat more common.

' For example, Tagore's idea of these two concepts should be way above any common man's and many perceive Tagore as a ' Mahana ' Artist in the realm of literature.

For instance, the Northwest relies on local seafood, while in the South, Mexican flavors are extremely common.

For Joseph and his supports of Imperial reform, besides encouraging any first buddings of pan-national pride that would unite his multi-lingual and ethnic subjects under one common language ; they also hoped to save a considerable amount of money in the process.

For most of human history, pearls were the ultimate precious beads of natural origin because of their rarity, although the pearl-culturing process has now made them far more common.

For example, in the mid-Atlantic US, the X-Acto name is likelier to evoke only a specific subset of these knives ( the pencil-shaped hobby knife ), which may explain why the " utility knife " name, with its specificity, is more common there for the larger type.

For example, most areas of law in most Anglo-American jurisdictions include " statutory law " enacted by a legislature, " regulatory law " promulgated by executive branch agencies pursuant to delegation of rule-making authority from the legislature, and common law or " case law ", i. e., decisions issued by courts ( or quasi-judicial tribunals within agencies ).

For example, the traditional common law rule through most of the 19th century was that a plaintiff could not recover for a defendant's negligent production or distribution of a harmful instrumentality unless the two were in privity of contract.

For example, in England and Wales and in most states of the United States, the basic law of contracts, torts and property do not exist in statute, but only in common law ( though there may be isolated modifications enacted by statute ).

For example, in most U. S. states, the criminal statutes are primarily codification of pre-existing common law.

( For this reason, many modern American law schools teach the common law of crime as it stood in England in 1789, because that centuries-old English common law is a necessary foundation to interpreting modern criminal statutes.

For example, in Virginia, the definition of the conduct that constitutes the crime of robbery exists only in the common law, and the robbery statute only sets the punishment.

For that reason, civil law statutes tend to be somewhat more detailed than statutes written by common law legislatures – but, conversely, that tends to make the statute more difficult to read ( the United States tax code is an example ).