These representations included alphanumeric characters and special graphical symbols.

These forms of linear combination satisfy numerous simple-looking properties, like asymptotic formulae or integral representations.

These are thought of as primary and innate, and as the mental representations of instincts ... the psychological equivalents in the mind of defence mechanisms '.

These differed in the word sizes, the format of the representations, and the rounding behavior of operations.

* Linear algebraic groups ( or more generally affine group schemes ) — These are the analogues of Lie groups, but over more general fields than just R or C. Although linear algebraic groups have a classification that is very similar to that of Lie groups, and give rise to the same families of Lie algebras, their representations are rather different ( and much less well understood ).

These representations alluded to the story of the preaching fox found in popular Medieval literature such as The History of Reynard the Fox and The Shifts of Raynardine ( the son of Raynard ).

( These must not be confused with the arrows of Feynman diagrams which are actually simplified representations in two dimensions of a relationship between points in three dimensions of space and one of time.

These missing representations are then labeled the spin representations, and their constituents spinors.

These findings are also difficult to explain for the decay hypothesis, because decay of memory representations should depend only on how long the processing task delays rehearsal or recall, not on the content of the processing task.

These are figurative representations of women, the Venus of Galgenberg found near Stratzing and thought to be 32, 000 years old, and the nearby Venus of Willendorf ( 26, 000 years old ) found at Willendorf, near Krems an der Donau.

These representations of time are mainly for internal use.

These representations show the words, phrases, and at times clauses that make up sentences.

These representations had a lasting cultural impact and influenced the pejorative nature of the term Uncle Tom in later popular use.

These representations are unique, except that numbers with a terminating expansion also have a non-terminating expansion, as they do in base-10 ; for example, 1 = 0. 99999 ….

These representations can be as simple as an on-screen traffic light, which represents the state of an actual traffic light in the field, or as complex as a multi-projector display representing the position of all of the elevators in a skyscraper or all of the trains on a railway.

These terms are general representations as plants in nature can have a combination of types.

These are the only known imperial insignia so far recovered, which hitherto had only been known from representations on coins and in relief sculptures.

These are representations of deities, animals or spirits, made from an entire sheaf.

These include hand stencils, dynamic figures in large head-dresses carrying spears and boomerangs, representations of Namandi spirits and mythical figures, including Alkajko, a female spirit with four arms and horn-like protuberances.

These groups are important in the theory of group representations, and also arise in the study of spatial symmetries and symmetries of vector spaces in general, as well as the study of polynomials.

These representations of the Madonna and Child often take the form of large altarpieces.

These representations are usually of a small size suitable for a small altar or domestic use.

These 14 stations depict the Passion from the sentencing by Pilate to the sealing of the tomb, and since the 16th century representations of them in various media have decorated the naves of most Catholic churches.

These anchors are only suitable for a silt or mud bottom, since they rely upon suction and cohesion of the bottom material, which rocky or coarse sand bottoms lack.

These techniques rely on the properties of starches to create simpler mucilaginous saccharides during cooking, which causes the familiar thickening of sauces.

These findings rely on inhibition assays and the study of the kinetics of cleavage of the aforementioned substrate, exploiting the fact that the enzyme-substrate intermediate p-nitrophenolate has a yellow colour, enabling us to measure its concentration by measuring light absorbance at 410 nm.

These algorithms almost all rely on psychoacoustics to eliminate less audible or meaningful sounds, thereby reducing the space required to store or transmit them.

These simple resolvers ( called " stub resolvers ") rely on a recursive name server to perform the work of finding information for them.

These upgrades have played a key role in supporting Greece's economy, which in the past decade has come to rely heavily on the construction industry.

These meanings can either oppose or complement each other, although they share the common trait that they rely on inherence as opposed to design in finding just laws.

These areas rely on trabecular bone for strength, and therefore the intense remodeling causes these areas to degenerate most when the remodeling is imbalanced.

These systems rely upon an assumption that the psychophysiological measure is an accurate one-to-one representation of a relevant psychological dimension such as mental effort, task engagement and frustration.

These shows often rely less on political discussion and analysis than their AM counterparts, and often employ the use of pranks and " bits " for entertainment purposes.

These assertions rely on the accounts of Eusebius of Caesarea, Church History, II, ii.

These etymologies do though rely on a presumed but unattested * Yggsdrasill.

These rely on different types of spectral lines — recombination lines and collisionally excited lines.

These species that rely upon temperature for their sex determination do not have the SRY gene, but have other genes such as DAX1, DMRT1, and SOX9 that are expressed or not expressed depending on the temperature.

These printers tend to lack onboard processing and rely on the host computer to generate a raster image, but still will outperform the LaserJet Classic in nearly all situations.

These electronic sirens differ from electromechanical sirens in that they rely on a series of large loudspeakers to produce sound.

These families were so powerful that the founders of the Three Kingdoms had to rely on them to establish their domains.

* Ideomotor Apraxia: These patients have deficits in their ability to plan or complete motor actions that rely on semantic memory.

These fisheries rely on the productivity of the Bering Sea via a complicated and little understood food web.

These simple and complex carbohydrates are the main components of cellular reproduction, and deliver an immediately usable form of energy to the plant, which would normally rely on a soil-type organic medium for beneficial microbial activity.

These puzzles usually have no symmetry in the grid and instead often rely on a common theme ( literature, music, nature, geography, events a special year etc.

These two features rely mostly on the design of the sail ( the way that the panels are placed with one another ) and the sail cloth used.

These styli rely on an internal battery rather than the tablet for their power, resulting in a bulkier stylus.

These rules rely on common sense to make notions such as " connected group " and " surround " precise.