These are graphs of ψ ( x, y, z ) functions which depend on the coordinates of one electron.

These authors asked people to compare written statements about the relations between several variables to graphs illustrating the same or a different relation, as in the following sentence: " If the cake is from France, then it has more sugar if it is made with chocolate than if it is made with cream, but if the cake is from Italy, then it has more sugar if it is made with cream than if it is made of chocolate.

These fields can be OBVs themselves, forming lists, trees or arbitrary graphs.

These paths can be used to infer AS-level connectivity and in turn be used to build AS topology graphs.

These " Snapshots " are shown through graphs which are made up of various illustrations of objects that roughly pertain to the graphs subject matter ( using the example above, the graph's bars could be made up of several TV sets, or ended by one ).

These problems are all hard: the clique decision problem is NP-complete ( one of Karp's 21 NP-complete problems ), the problem of finding the maximum clique is both fixed-parameter intractable and hard to approximate, and listing all maximal cliques may require exponential time as there exist graphs with exponentially many maximal cliques.

These definitions coincide for connected graphs.

According to the Robertson – Seymour theorem, there exists a finite set H of minimal elements in S. These minimal elements form a forbidden graph characterization of F: the graphs in F are exactly the graphs that do not have any graph in H as a minor.

These graphs clearly illustrate a serious problem with this as a biological model: in each cycle, the baboon population is reduced to extremely low numbers yet recovers ( while the cheetah population remains sizeable at the lowest baboon density ).

These tasks represent the idioms of organizing data into a desired format such as tables, graphs, charts, etc.

These state diagrams can also be combined with flow graphs to provide a set of computational semantics for describing complex control logic.

These models are often graphs, groups or lattices.

These include the forests, k-trees ( maximal graphs with a given treewidth ), split graphs ( graphs that can be partitioned into a clique and an independent set ), block graphs ( graphs in which every biconnected component is a clique ), interval graphs ( graphs in which each vertex represents an interval of a line and each edge represents a nonempty intersection between two intervals ), trivially perfect graphs ( interval graphs for nested intervals ), threshold graphs ( graphs in which two vertices are adjacent when their total weight exceeds a numerical threshold ), windmill graphs ( formed by joining equal cliques at a common vertex ), and strongly chordal graphs ( chordal graphs in which every even cycle of length six or more has an odd chord ).

These are just another couple of characters to roll.

These men are not callous.

These things are important to almost all Persians and perhaps most important to the most ordinary.

These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.

These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.

These are not, however, differences in federal structure.

These my grandmother left in their places ( they are still there, more persistent and longer-lived than the generations of man ) and planted others like them, that flourished without careful tending.

These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.

These are suggestive of Selma Lagerlof.

These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.

These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.

These responses are explicable in terms of characteristics inherent in the crisis.

These discoveries are of present interest chiefly to the scientific community ; ;

These are personality factors ; ;

These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.

These moments are historical events in the lives of individual authors with which the student of comparative literature must be frequently concerned.

These lives are in themselves outside of the moral order and are unburdened with moral responsibility.

These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.

These biographical analogies are obvious, and far too much time has been spent speculating on their possible implications.

These women whose organization grew out of the old suffrage movement are dedicated to Thomas Jefferson's dictum that one must cherish the people's spirit but `` Keep alive their attention ''.

These are, of course, the same people whose support he has only now rejected to seek the independent vote.

These are New York, Pennsylvania, Michigan, Maryland, Missouri, New Jersey, Illinois and Minnesota.

These men are spenders.

These early textual studies convinced him of the absolute necessity of new and more exact collations of manuscripts.

These ameliorative effects are thought to involve inhibition of glutamatergic transmission, though the numerous targets of ethanol make it difficult to determine the exact underlying mechanism.

These three categories are part of every exact description of a mode of inheritance in the above order.

These cases established the legal precedent that executive privilege is valid, although the exact extent of the privilege has yet to be clearly defined.

These are exact arithmetic calculations, not depending on any astronomy.

These evolved late type stars are called OH / IR stars, Mira-type stars, or Carbon stars, depending on their exact characteristics.

These upgraded drives allowed the user to make exact copies of the original program with copy protections in place on the new disk.

These tracks are not exact replicas of the original courses.

These systems are not only used for Broadcast programming and for video server play-out, but use exact atomic time from GPS or other sources to maintain perfect synchronization with upstream and downstream systems, so that programming appears seamless to audience viewers.

These relationships are certainly not exact because the size of an atom is not constant but depends on its chemical environment.

These calipers contain inscriptions of the exact day and year they were manufactured.

These branches reflect the fact that many oceanographers are first trained in the exact sciences or mathematics and then focus on applying their interdisciplinary knowledge, skills and abilities to oceanography.

These creatures live for a very long time, but the exact age is hard to measure ; one study based on modelling gave an estimated age of a specimen of Scolymastra joubini as 23, 000 years, which is thought impossible, but is the basis for a listing of ~ 15, 000 years in the AnAge Database.

These include the exact shape of the asteroid, its orientation, and its albedo, along with its variations over the surface and with wavelength.

These equations are exact only for an ideal gas, which neglects various intermolecular effects ( see real gas ).

These methods are most suited to calculation by a computer and tend to be used when it is infeasible to compute an exact result with a deterministic algorithm.

These Giants may be related to the race of Man, though the scant information about them had led to debate over their exact nature and even their existence as an independent race in Tolkien's world.

These Keepers in turn were permitted to exact payment directly from the inmates, making the position one of the most profitable in London.

These are German terms for which there are no exact English equivalents, however we have approximations:

These various groups differ as to exactly when the Great Apostasy took place and what the exact errors or changes were, but all of them make a similar claim that true Christianity was generally lost until it was disclosed again in themselves.

These programs have most of the same advantages, except that they may allow restoring to partitions of a different size or file-allocation size, and thus may not put files on the same exact sector.

These observations led the astronomer to formulate the hypothesis, subsequently proved to be very exact, that the meteor showers could be the trails of comets.

These have been replaced in recent times largely by DNA sequencing, which produces the exact sequences of nucleotides or bases in either DNA or RNA segments extracted using different techniques.

These optical filters usually have more exact reflective and pass bands than absorptive filters.