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 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 two values and the rake angle **yc are sufficient to determine the other parameters of these relationships.

These theoretical relationships are more clearly illustrated in Fig. 7 and their sum can be seen to correlate in form with practical measurements made with the Hesiometer as illustrated in the first portion of Fig. 5 for the cutting mechanism.

These dynamic relationships, between what can be observed on the ground, as opposed to what can be observed by compiling many local observations remain fundamental in any kind of anthropology, whether cultural, biological, linguistic or archaeological.

These poles and zone-lines, whilst inducing fluctuations in data density in the reconstructed datasets, which can prove problematic during post-analysis, are critical for determining information such as angular magnification, as the crystallographic relationships between features are typically well known.

These relationships implied a line of succession.

These alternatives, which include charter schools, alternative schools, independent schools, homeschooling and autodidacticism vary widely, but often emphasize the value of small class size, close relationships between students and teachers, and a sense of community.

These modern organisms with endosymbiotic relationships with aerobic bacteria have verified the endosymbiotic theory, which explains the origin of mitochondria and chloroplasts from bacteria.

These relationships hold only for power coefficients, not for amplitude coefficients as defined below.

These insights led Watson to deduce the true biological relationships of the A: T and C: G pairs.

These can be used to find the locations of fold axes, relationships between several faults, and relationships between other geologic structures.

These autonomous groups maintained commercial relationships with each other and with other populations as distant as Panama and Mexico.

These precautions are often seen as less necessary for sex partners in committed relationships, if they are known to be free of disease.

These relationships were termed romantic friendships, Boston marriages, or " sentimental friends ", and were common in the U. S., Europe, and especially in England.

These factors are important to analyze because it shows that relationships are based on specific considerations.

These relationships imply that each of the super string theories is a different aspect of a single underlying theory, proposed by Witten, and named " M-theory ".

These behaviors may increase stress in personal relationships, lead to problems at work and increase the risk of altercations with law enforcement.

These were published " without names " to protect the recipients, all of whom had close relationships to Petrarch.

These interacting psychological relationships, processes and dynamics form the basis for the psychology of torture.

These differences are evident in the way we drive our cars, in our diets, in our relationships, in our careers.

These describe the relationships among the source code files, and contain information about how they are to be compiled.

These relationships can be divided into three types: hierarchical, equivalency or associative.

These theorists claim that the important concept for understanding causality is not causal relationships or causal interactions, but rather identifying causal processes.