( If the graph has no weights, 1 indicates an edge, 0 indicates no edge.

By the above hypothesis, the graph indicates one of the major criticisms of deficit spending as a way to stimulate the economy: rising interest rates lead to crowding out – i. e., discouragement – of private fixed investment, which in turn may hurt long-term growth of the supply side ( potential output ).

The graph of the dimensionless function f which indicates how the strength of the tidal potential depends on the eccentricity ε of the ellipsoid

The graph indicates that there are two solutions and thus the smaller one represents the stable equilibrium form ( the ellipsoid with the smaller eccentricity ).

Finding the shortest path in a graph using optimal substructure ; a straight line indicates a single edge ; a wavy line indicates a shortest path between the two vertices it connects ( other nodes on these paths are not shown ); the bold line is the overall shortest path from start to goal.

This indicates that f ( 0 ) is unequivocally 1, and thus the pair ( 0, 1 ) is in the graph of f.

This indicates that, if f ( n ) is m, then f ( n + 1 ) is ( n + 1 ) m, so that the pair ( n + 1, ( n + 1 ) m ) is in the graph of f. Unlike the base case f ( 0 ) = 1, the recursive operator requires some information about f ( n ) before it defines a value of f ( n + 1 ).

' Note – From 1920 – 1958 the 3rd tier was split into North and South divisions, graph indicates Brentford's position in the South division

* Circularities – A loop in the graph indicates a circularity in the system

This may be left over from an earlier data sheet, because the graph in figure 6. 2 indicates that typical devices run over 18 MHz at 4V, and 6 MHz at 1. 8V.

A graph also indicates how many times the aircraft have been used.

A marker next to the graph indicates how advance the interrogation.

In this graph, electroweak unification occurs at around 100 GeV, grand unification is predicted to occur at 10 < sup > 16 </ sup > GeV, and unification of the GUT force with gravity is expected at the Planck energy, roughly 10 < sup > 19 </ sup > GeV.

Which lead to a huge growth in the “ Dow Jones Industrial Average from 3255. 99 in January 1993 to 11500 in early 2000 ”( A New Democrat, 399 ) However it may also have contributed to the expanding of our trade deficit ( Exports – Imports ) as shown by the graph of percentage change in Economic growth ( red line ) to balance of trade ( blue line ) ( See Figure 2 ).

In the case of the United States, the twin deficit graph as a percentage of GDP shows that the budget and current account deficits did move broadly in sync from 1981 until the early 1990s, but since then, they have moved apart.

* Control flow graph, in computer science, a representation of all paths that might be traversed through a program during its execution

A control flow graph ( CFG ) in computer science is a representation, using graph notation, of all paths that might be traversed through a program during its execution.

A back edge is an edge that points to a block that has already been met during a depth-first ( DFS ) traversal of the graph.

By calculating the area under the relevant portion of the graph for 50 trials, the archaeologist can say that there is practically no chance the site was inhabited in the 11th and 12th centuries, about 1 % chance that it was inhabited during the 13th century, 63 % chance during the 14th century and 36 % during the 15th century.

Garfunkel was Tom Graph ( so called because he like to write the pop charts out on graph paper ) and Simon was Jerry Landis, a pseudonym he used during his early 1960s solo recordings.

In other words, during any walk in the graph, the number of times one enters a non-terminal vertex equals the number of times one leaves it.

A graph of the number of visitors of the Efteling during the period 1952-2011:

A graph of the ticket price in euros of the Efteling during the period 1952-2012:

A 2006 report by the United States National Academy of Sciences supported the conclusions represented by the graph, especially during the period subsequent to 1600 AD, but was critical of the manner in which results from earlier periods were communicated.

BGI ’ s computational biologists developed the first successful algorithm, based on graph theory, for aligning billions of 25 to 75-base pair strings produced by next-generation sequencers, specifically Illumina ’ s Genome Analyzer, during de novo sequencing.

Since all of these steps reduce the degrees of vertices in the graph, vertices may transform from being high-degree ( degree > K ) to low-degree during the algorithm, enabling them to be simplified or coalesced.

# kinetic assay: when readings are taken multiple times at fixed time intervals during an assay and a kinetic graph of the readings is important.

The center of this graph ( where the sectors meet ) represents one's average levels of challenge and skill across all activities an individual performs during his or her daily life.

Commonly used graphics, especially during a limited-over match, are a worm graph, called so, for the worm-like appearance of the teams ' score progression as the overs progress ; and ; a Manhattan Chart, called so, for its resemblance to the Manhattan skyline.

* Cons: graphs can easily become cluttered during use in a speech by including too much detail, overwhelming the audience and making the graph ineffective.

A graph from The Office of National Statistics gives an idea of how much congestion Ongar accommodates during peak periods.

In part due to the pause in development during 2003 and 2004, several competing Java scene graph technologies emerged:

They are calling this the curve of death because on a graph that charts time and tree death after beetle introduction, the plotted line angles almost straight up during those 4 years, ending in all the local ash trees being dead.

The graph on the right illustrates two recent interpretations of sea level changes during the Phanerozoic.

According to the graph the CPI stabilized during the 1990s at a fairly low rate never going above 5 percent during the Clinton presidency.

Initially, it was a sub-branch of linear algebra, but soon it grew to cover subjects related to graph theory, algebra, combinatorics and statistics as well.

Geometric group theory grew out of combinatorial group theory that largely studied properties of discrete groups via analyzing group presentations, that describe groups as quotients of free groups ; this field was first systematically studied by Walther von Dyck, student of Felix Klein, in the early 1880s, while an early form is found in the 1856 Icosian Calculus of William Rowan Hamilton, where he studied the icosahedral symmetry group via the edge graph of the dodecahedron.

The graph illustrates the positions of the moons after 1, 2 and 3 Io periods.

A graph of the sine function, showing two complete periods

In combinatorics, an expander graph is a sparse graph that has strong connectivity properties, quantified using vertex, edge or spectral expansion as described below.

Every connected graph is an expander ; however, different connected graphs have different expansion parameters.

The complete graph has the best expansion property, but it has largest possible degree.

Informally, a graph is a good expander if it has low degree and high expansion parameters.

The edge expansion ( also isoperimetric number or Cheeger constant ) of a graph is defined as

In general, a subdivision of a graph G ( sometimes known as an expansion ) is a graph resulting from the subdivision of edges in G. The subdivision of some edge e with endpoints

The normal Cartesian graph per se of a function can be thought of as an orthonormal expansion.

* expansion of a graph

Consider the expansion of to, a maximally imperfect graph, in the sense that is a spanning subgraph of but adding an edge to will result in a perfect matching.

Drell, Relativistic Quantum Mechanics ( 1964 ) and J. J. Sakurai, Advanced Quantum Mechanics ( 1967 ), thoroughly developed the Feynman graph expansion techniques using physically intuitive and practical methods following from the correspondence principle, without worrying about the technicalities involved in deriving the Feynman rules from the superstructure of quantum field theory itself.

Just as a group expansion of a complete graph K < sub > n </ sub > encodes the group ( see Dowling geometry ), its combinatorial analog expanding a simple cycle of length n + 1 encodes an n-ary ( multiary ) quasigroup.