These connections shed the boundaries between combinatorics and parts of mathematics and theoretical computer science, but at the same time led to a partial fragmentation of the field.

These methods may be used in all subdisciplines of chemistry, excluding purely theoretical chemistry.

These " theoretical radionuclides " have half-lives at least 100 million times longer than the estimated age of the universe.

These methods may be used in all subdisciplines of chemistry, excluding purely theoretical chemistry.

These are represented in theoretical and empirical forms ( as in the neoclassical and endogenous growth models ) and in growth accounting.

These officials are excluded completely from the executive: they do not possess even theoretical executive powers or any role, even formal, within the government.

These books provided much of the theoretical base for future lunar vehicle development.

These ATP yields are theoretical maximum values ; in practice, some protons leak across the membrane, lowering the yield of ATP.

These error rates are lower than those computed in fading channels, hence, are a good theoretical benchmark to compare with.

These more general algebras are usually called structures, and they are studied in model theory and in theoretical computer science.

These experiments tested the Bell inequalities published in 1964 in a purely theoretical paper.

These theoretical coincidences ( enforced, as said, by linguistic considerations ) could allow to suppose that a people of skilled sailors left the Eastern Mediterranean and established themselves in Sardinia.

These group therapy sessions are often guided by a number of different theoretical and therapeutic frames of references, which use methods that are shown by research to be effective.

These lectures attracted leading names in theoretical physics of the era, including Stephen Hawking, Leonard Susskind and Richard Feynman.

These various suggested equations combined with the popular solar theory hypotheses of the day generated a single theoretical sun god: Baal.

These theoretical results make autocatalytic sets attractive for scientific explanation of the very early origin of life.

These equations have been extensively modified by later research, but form the starting point for most theoretical studies of action potential biophysics.

" These departures, both theoretical and practical, have resulted in a multitude of practices and cases criticized by international human rights groups.

" These critical theoretical weaknesses in twin research, which were recognizable in principle even considering the state of knowledge at the time, raise the question as to why Fischer and Verschuer oriented the new institute to assymmetrically toward this methodology.

These protocols are utilized differently, at different levels of the theoretical OSI model.

In his presidential address to the British Association in 1871, Lord Kelvin stated his belief that the application of the prismatic analysis of light to solar and stellar chemistry had never been suggested directly or indirectly by anyone else when Stokes taught it to him at Cambridge University some time prior to the summer of 1852, and he set forth the conclusions, theoretical and practical, which he learnt from Stokes at that time, and which he afterwards gave regularly in his public lectures at Glasgow. Kirchhoff These statements, containing as they do the physical basis on which spectroscopy rests, and the way in which it is applicable to the identification of substances existing in the sun and stars, make it appear that Stokes anticipated Kirchhoff by at least seven or eight years.

These theoretical bases overlap but differ in a major way.

These need not actually be played together: arpeggios and broken chords may for many practical and theoretical purposes be understood as chords.

These theories must be constructed with observed data in order to create theoretical problems and to be incorporated in proposals that allow empirical testing.

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

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

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.