These are defined by a simple involutorial transformation of the points in which a general line meets a nonsingular quadric surface bearing a curve of symbol Af.

These can range from simple spelling changes and word forms to switching the entire writing system itself, as when Turkey switched from the Arabic alphabet to a Turkish alphabet of Latin origin.

These can be as simple as a searchlight for a police helicopter or as complicated as the tactical system for an airborne early warning platform.

These simple ciphers and examples are easy to crack, even without plaintext-ciphertext pairs.

These individuals are often capable of relatively simple forms of visual awareness ( like being able to spatially locate an x in a picture ) but do not report anything concerning what it is like to experience these visual stimuli.

These range from a simple dulling of awareness produced by sedatives, to increases in the intensity of sensory qualities produced by stimulants, cannabis, or most notably by the class of drugs known as psychedelics.

These atomic orbitals are known to have specific angular relationships between each other, and thus the valence bond model can successfully predict the bond angles observed in simple molecules.

These composite bows, made of several layers, are much stronger and more efficient in releasing energy than simple wooden bows.

These humble scenes deal with simple, everyday activities, yet they also have functioned as a source of documentary information about a level of French society not hitherto considered a worthy subject for painting.

: These have a region of operation showing negative resistance caused by quantum tunneling, allowing amplification of signals and very simple bistable circuits.

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

These hypothetical forms of life range from simple bacteria-like organisms to beings far more complex than humans.

These simple earning rules work well for small or simple projects because generally each activity tends to be fairly short in duration.

These were the second family of finite simple groups, after the alternating groups.

These point systems are typically simple enough to be manually calculated by a " league commissioner.

These short ( often one small reel ) films were often simple visual aids and accompaniments to live lectures and speeches, and were carried from city to city, town to town, village to village ( along with the lecturers ) to indoctrinate the entire countryside, even reaching areas where film had not been previously seen.

" These summaries were usually simple concatenations of received replies with little to no quality checking.

These include alpha-amylase from bacteria, which converts starch to simple sugars, chymosin from bacteria or fungi that clots milk protein for cheese making, and pectinesterase from fungi which improves fruit juice clarity.

These aim to make it simple and seamless for researchers to use GÉANT to work together, wherever they are located.

These simple formulas will not do if the input values are not equally likely, or are not independent.

These other metals and their alloys can be cold-worked, or melted in simple pottery kilns and cast in molds ; but smelted iron requires hot-working and can be melted only in specially designed furnaces.

These simple relationships hold true only when there is no mutual coupling of magnetic fields between individual inductors.

These types of lamps are still in use today in areas of the world without electricity, because they give a much better light than a simple wick-type lamp does ..

These functions were more complex than simple AND and OR gates.

These quantum numbers only occur in certain combinations of values, and their physical interpretation changes depending on whether real or complex versions of the atomic orbitals are employed.

These were larger than the great majority of German woodcuts hitherto, and far more complex and balanced in composition.

These programs now easily run on most personal computers, and are often capable of more complex functions than those which would have necessitated the most powerful mainframe computers several decades ago.

These castes had a complex structure in the fragmented city states of Italy such as Genoa, Venice, Naples, Roma, Florence and Lombardy ; in some, the merchants were the nobili, in others the nobili despised the merchant caste and were agriculturalists, in yet others the nobili caste despised all work.

These cover Clement's celestial hierarchy, a complex schema in which the universe is headed by the Face of God, below which lie seven protoctists, followed by archangels, angels and humans.

These two groups of viruses share a distinctive 12-fold arrangement of subunits in the portal complex.

These range from specific market access issues and difficulties for businesses facing a highly regulated and complex system through to restrictions in the export of agricultural goods ( potatoes ) and fishery products because they do not conform with EU quality norms.

These formulas can even serve as the definition of the trigonometric functions for complex arguments x.

These seizures arise from the frontal lobes and consist of complex motor movements, such as hand clenching, arm raising / lowering, and knee bending.

These G proteins are made from three subunits, with the G domain located on the largest one ( the α unit ); together with the two smaller subunits ( β and γ units ), they form a tightly associated protein complex.

These proteins help to modulate IGF action in complex ways that involve both inhibiting IGF action by preventing binding to the IGF-1 receptor as well as promoting IGF action possibly through aiding in delivery to the receptor and increasing IGF half-life.

These were originally considered primitive, but it now appears they developed from more complex ancestors.

These complex architectures allow some group I and group II introns to be self-splicing, that is, the intron-containing RNA molecule can rearrange its own covalent structure so as to precisely remove the intron and link the exons together in the correct order.

These resulted in increasingly complex structures of highly sophisticated and controlled color and surface integrity.

These " aether-wind " experiments led to a flurry of efforts to " save " aether by assigning to it ever more complex properties, while only few scientists like Emil Cohn or Alfred Bucherer considered the possibility of the abandonment of the aether concept.

These oppositions are inherent to modernism: it is in its broadest cultural sense the assessment of the past as different to the modern age, the recognition that the world was becoming more complex, and that the old " final authorities " ( God, government, science, and reason ) were subject to intense critical scrutiny.

These are usually electrically fired and have complex sighting systems.

These programs provide support for dynamics and expression markings, chord and lyric display, and complex score styles.

These became essential with the appearance of complex synthesizers such as the Yamaha FS1R, which contained several thousand programmable parameters, but had an interface that consisted of fifteen tiny buttons, four knobs and a small LCD.

These polypeptides usually have a related function ( they often are the subunits composing a final complex protein ) and their coding sequence is grouped and regulated together in a regulatory region, containing a promoter and an operon.

These regions are all interconnected by means of complex neural pathways.

These works include complex polyphonic ensembles and reflect musical developments of their times.

These principles inevitably resulted in a large language which would need compilers substantially more complex than those for COBOL or Fortran.