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Graphs and are
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 are frequently drawn as node-link diagrams in which the vertices are represented as disks or boxes and the edges are represented as line segments, polylines, or curves in the Euclidean plane.
( 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.
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.

Graphs and used
Graphs as used in graph theory.
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 ).

Graphs and between
Graphs may be presented, for example, of coincidence rate against the difference between the settings a and b, but if a more comprehensive set of experiments had been done it might have become clear that the rate depended on a and b separately.

Graphs and different
* Graphs of the logarithm function for different bases
* Graphs of the exponential function for different bases
Graphs of very different topology qualify as small-world networks as long as they satisfy the two definitional requirements above.
* Stereo Multiplexing for Dummies Graphs that show waveforms at different points in the FM Multiplex process

Graphs and .
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
Free groups of higher rank: Graphs or punctured plane.
* 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.

are and used
The men who speculate on these institutions have, for the most part, come to at least one common conclusion: that many of the great enterprises and associations around which our democracy is formed are in themselves autocratic in nature, and possessed of power which can be used to frustrate the citizen who is trying to assert his individuality in the modern world ''.
Then, with staring eyes and lips drawn thin, Miriam said to the young woman, `` You are ugly -- uglier than you used to be, and you were always very ugly.
She used to tell me, `` When I stand there and look at the flag blowing this way and that way, I have the wonderful, safe feeling that Americans are protected no matter which way the wind blows ''.
The decision maker who acts for the community as a whole must decide whether the objectives pursued and the methods used are appropriate to public policy regarding cultural groups.
his broad but little used investigative powers are confirmed.
When different colors are used, she is just as likely to color trees purple, hair green, etc..
One cannot help wondering whether Molotov and the rest of the `` anti-party group '' are not being used as China's whipping-boys by Khrushchev and his faithful followers.
Proceeds realized from these pageants are used by the Jaycees to help support their various youth, health, welfare and community betterment activities throughout the state.
Since conventional methods are insensitive at the low frequencies of these molecular transitions, the paramagnetic resonance method is being used instead.
The funds recouped by reductions in item 12 above are used: first, to increase the unadjusted allotments to the specified minimum in those States where the unadjusted allotment is less than the minimum allotment ( item 13 above ) ; ;
Solid concrete blocks, relatively heavy and dense, are used for this shelter.
If they are used, the walls and roof should be 10 inches thick to give the same protection as the 8-inch solid concrete blocks.
It is thick, much like an egg plant's skin, so that poison sprays, if they are used, present no hazard to the consumer.
Such locks are nearly always used where the switch points `` face '' oncoming traffic.
Derails -- mechanical track devices that actually guide the wheels off the rails if a train passes a `` stop '' signal -- are used in many instances.
However, some formulas are used more than others.
The compression ratio arrived at with the formula will be the same regardless of whether cubic inches or cubic centimeters are used.
The only way to determine the final combustion chamber volume when such pistons are used is by measuring it with liquid while the cylinder head is bolted to the cylinder block and the piston is in top dead center position.
Photos of Conference Rooms and the General Assembly Hall can be made when these rooms are not being used for meetings.
Besides flathead bronze screws, silicon bronze Stronghold nails ( made by Independent Nail & Packing Co., Bridgewater, Mass. ) are used extensively in assembly and Weldwood resorcinol glue is used in all the joints.
After the frames and transom are set up on the jig and temporarily braced, a piece of three-inch-wide mahogany ( only widths will be given since the 13/16-inch thickness is used throughout ) is butted between frames one and two below the line of the keelson.
One-inch, No. 10 screws are used in both cases.
Glue and 1-1/2-inch, No. 10 screws are used.
Four pieces are used.

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