Graphs are basic objects in combinatorics.

Graph ( mathematics ) | Graphs like this are among the objects studied by discrete mathematics, for their interesting graph property | mathematical properties, their usefulness as models of real-world problems, and their importance in developing computer algorithm s.

Graphs are one of the prime objects of study in discrete mathematics.

Graphs are among the most ubiquitous models of both natural and human-made structures.

Graphs with weights, or weighted graphs, are used to represent structures in which pairwise connections have some numerical values.

Graphs are represented graphically by drawing a dot or circle for every vertex, and drawing an arc between two vertices if they are connected by an edge.

Graphs that have vertices representing events, and edges representing causal relations between events, are often acyclic.

Graphs whose edges or vertices have names or labels are known as labeled, those without as unlabeled.

Graphs with labeled vertices only are vertex-labeled, those with labeled edges only are edge-labeled.

Graphs are one of the objects of study in discrete mathematics.

Graphs are the basic subject studied by graph theory.

( Graphs which show just the length of the rule in the two dynasties are the most widely known ; however, Fomenko's conclusions are also based on other parameters, as described above.

Graphs are converted into factor graph form to perform belief propagation.

* Graphs are used to visualize relationships between different quantities.

Current research activities of the Department are in the areas of Analysis, Algebra, Operator Theory, Functional Analysis, General topology, Fuzzy mathematics, Graph Theory, Combinations, Convexity Theory, Fluid Dynamics, Non-linear waves, Stability, Stochastic Processes in general and Random Graphs, Operations Research and the History of Mathematics.

Graphs showing this trade-off are available from folds. net.

Graphs are an expressive, visual and mathematically precise formalism for modelling of objects ( entities ) linked by relations ; objects are represented by nodes and relations between them by edges.

The optional modules are Number Patterns, Geometry and Trigonometry, Graphs and Relations, Business-Related Mathematics, Networks and Decision Mathematics, or Matrices.

Prior to evolution of GDE, developer used SDE-Shell Development Environment by which it was also possible to write Ab Initio programs ( Graphs ) using a common text editor ( but that is extremely cumbersome so rarely done in practice now-a-days ).

alt = Graphs showing similar elution curves ( metal amount vs drops ) for ( top vs bottom ) terbium vs berkelium, gadolinium vs curium, europium vs americium

Graphs describing solarisation curves typically place input range of tones on the x axis, with black at 0 and white to the right, and the output range of tones on the y axis with black at 0 and white up.

Free groups of higher rank: Graphs or punctured plane.

* Flyspeck I: Tame Graphs, verified enumeration of tame plane graphs as defined by Thomas C. Hales in his proof of the Kepler Conjecture

40 Graphs, w species pictures, also Tables, Photos, etc.

Mikhalev, Monoids, Acts and Categories: with Applications to Wreath Products and Graphs, De Gruyter Expositions in Mathematics vol.

A Discussion of the Two qi 其 Graphs in the First Chapter of the Daodejing .” PEW 60. 3 ( 2010 ): 391-421

* Chein, M., Mugnier, M .- L. ( 2009 ), Graph-based Knowledge Representation: Computational Foundations of Conceptual Graphs, Springer, 2009, ISBN 978-1-84800-285-2.

It is also possible to represent logical descriptions using semantic networks such as the existential Graphs of Charles Sanders Peirce or the related Conceptual Graphs of John F. Sowa.

Stirling Numbers of the First Kind., § 24. 1. 3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.

* Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions ( with Formulas, Graphs and Mathematical Tables ), U. S. Dept.

Coxeter, R. Frucht and D. L. Powers, Zero-Symmetric Graphs, ( 1981 ) Academic Press.

Our inability to explain why certain people are fond of us frequently induces the same kind of ritual and malaise.

When these fields are surveyed together, important patterns of relationship emerge indicating a vast community of reciprocal influence, a continuity of thought and expression including many traditions, primarily literary, religious, and philosophical, but frequently including contact with the fine arts and even, to some extent, with science.

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

Office workers frequently go out there to lunch and swim during the siesta period, which, during the summer, lasts from two until five in the afternoon, when shops and offices are again open for business.

Such manipulations are frequently encountered in his essay on the suppression of the monasteries during the English reformation.

Among the most frequently quoted Biblical sentences are the Beatitudes and yet so few persons, other than scholars, really understand the true meaning of these eight blessings uttered by Jesus at the beginning of the Sermon on the Mount.

Occasional meetings are held for the whole membership, usually with a guest speaker, while smaller discussion groups meet more frequently.

For specialized types of displays, such as large three-dimensional units reproducing a product, package, human or animal figures, etc., reinforced plastics and rotationally molded vinyl plastisols are other materials frequently used.

But in the second subtype, which I take to be the one more frequently applied, only the operating expenses and not the `` cost of capital '' or `` fair return '' are apportioned directly among the various classes of service.

While costs on this order are sometimes separately charged for in residential and commercial rates, in the form of a mere `` service charge '', they are more frequently wholly or partly covered by a minimum charge which entitles the consumer to a very small amount of gas or electricity with no further payment.

) An authentic diffraction pattern is always obtained and optical properties are frequently checked.

The victims of the quacks are frequently poor people, like Mr. A., who scrape up their life savings to offer as a sacrifice to Doctor Fraud's avarice.

embassy workers are expected to entertain him according to his whim, frequently with their savings for the children's college tuition.

In France, novel approaches to the classic French plays are frequently attempted.

As the player shoots asteroids, they break into smaller asteroids that frequently move faster and are more difficult to hit.

The flowers are solitary or, more frequently, arranged in umbellate inflorescences at the end of a stem ( scape ).

Most Apiaceae are annual, biennial or perennial herbs ( frequently with the leaves aggregated toward the base ), though a minority are shrubs or trees.

The Rutherford films are frequently repeated on television in Germany, and in that country Miss Marple is generally identified with Rutherford's quirky portrayal.

When such permits to harvest are abused, it is frequently difficult to police.

Cryptic crossword puzzles frequently use anagrammatic clues, usually indicating that they are anagrams by the inclusion of a descriptive term like " confused " or " in disarray ".

The name ΙΑΩ, to which ΣΑΒΑΩΘ is sometimes added, is found with this figure even more frequently than ΑΒΡΑΣΑΞ, and they are often combined.

* Lo mein – The term means " stirred noodles "; these noodles are frequently made with eggs and flour, making them chewier than simply using water.

Among Classical Greeks, amazon was given a popular etymology as from a-mazos, " without breast ", connected with an etiological tradition that Amazons had their left breast cut off or burnt out, so they would be able to use a bow more freely and throw spears without the physical limitation and obstruction ; there is no indication of such a practice in works of art, in which the Amazons are always represented with both breasts, although the left is frequently covered ( see photos in article ).