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Page "Braess's paradox" ¶ 10

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Let and total

Let and be differentiable functions, and let D be the total derivative operator.

Let ε ( n ) denote the energy of a particle in state n. As the particles do not interact, the total energy of the system is the sum of the single-particle energies.

Let the total power radiated from a point source, for example, an omnidirectional isotropic antenna, be P. At large distances from the source ( compared to the size of the source ), this power is distributed over larger and larger spherical surfaces as the distance from the source increases.

Suppose G is an ordered abelian group, meaning an abelian group with a total ordering "<" respecting the group's addition, so that a < b if and only if a + c < b + c for all c. Let I be a well-ordered subset of G, meaning I contains no infinite descending chain.

This total includes the number 1 hits " I'm Moving On ", " The Golden Rocket ", " I Don't Hurt Anymore ", " Let Me Go, Lover!

In 1999, Bots joined the group, and that March the band made their first big break with their 4th single, " Let yourself go, let myself go ," which hit No. 7 on the Oricon Weekly Singles chart, and eventually climbed to No. 4, selling a total of 640, 000 copies.

Let e be an index of the composition, which is a total computable function.

Let us label with s ( s = 1, 2, 3, ...) the exact states ( microstates ) that the system can occupy, and denote the total energy of the system when it is in microstate s as E s .

Let us say ' yes ' wholeheartedly to the new form of the total State, which is analogous throughout to the incarnation of the Church.

Let M be the total mass, which is constant, so the left side can be multiplied and divided by M, so

Let U be total utility

* Let l e be the total number of jobs available in the urban sector, which should be equal to the number of employed urban workers.

* Let l us be the total number of job seekers, employed and unemployed, in the urban sector.

Let be total energy of the traffic graph, and consider what happens when the route is removed.

During the 6½ years between the appearance of the " I Want to Hold Your Hand " single on the Billboard Hot 100 and the Let It Be LP, The Beatles had the Number One single in the US for a total of 59 weeks and topped the LP charts for 116 weeks.

Let B, the exergy or available work, decrease with time, and S total , the entropy of the system and its reference environment enclosed together in a larger isolated system, increase with time:

Let be the total expenditure on good c in the base period, then ( by definition ) we have

Let C n be the total number of " parts " ( or " blocks ", as combinatorialists often call them ) among all partitions of that set.

The Swaziland regime has been watching PUDEMO closely since it launched the Ulibambe Lingashoni (" Don't Let the Sun Set ") campaign, which is aimed at a " total liberation " of Swaziland, and has recently clamped down heavily on even small manifestations of support for Pudemo.

Let the value of the soldier's square be, then the total change in score after a positive jump is.

Let us call the total end to end vector of an ideal chain and the vectors corresponding to individual monomers.

The band is best known for its Top 5 hit " Time Won't Let Me " in early 1966, which peaked at No. 5 in the US, but the band also had three other Hot 100 top 40 hit singles in 1966 and released a total of four albums in the mid-1960s.

Let and energy

Let the potential energy difference across the surface due to effective surface dipole be.

Next, take a Hamiltonian invariant under T. Let | a > and T | a > be two quantum states of the same energy.

Let the number of particles with the same energy be, the number of particles possessing another energy be, and so forth for all the possible energies

Let V be a Hamiltonian representing a weak physical disturbance, such as a potential energy produced by an external field.

Let the ecosystem ( i. e., solar energy ) subsidize the management effort rather than the other way around.

Let the energy of e, be

Let be the energy of the microstate and suppose there are members of the ensemble residing in this state.

Paxton's 1979 album, Up and Up, contains the song " Let the Sunshine ", which addresses issues concerning environmentalism and solar energy.

" It was parodied by the band Dash Rip Rock with their single entitled “ Let ’ s Go Smoke Some Pot ”, and by NRBQ during the 1973 energy crisis under the title, " Get That Gasoline.

Let denote the time-independent Hamiltonian, and let and denote the two energy eigenstates of the system, with respective eigenvalues and.

Let us hope, then, that you can use your energy to overcome your moth-eaten thirty tyrants of the various German states.

Let the energy difference between the states be so that is the transition frequency of the system.

Let and traffic

Let P be some traffic pattern.

On 27 January 2005, a Farnair Hungary Let L-410 aircraft was carrying out a non-directional beacon let-down with radar assistance at Iaşi Airport, Romania, but when the crew notified air traffic control of their position over the airport beacon and their intention to turn right outbound, they were seen to turn left.

Let and graph

Let be a graph, and for each edge from to, let be the capacity and be the flow.

Let be a network ( directed graph ) with and being the source and the sink of respectively.

Let A be the adjacency matrix of a graph.

Let G be a k-regular graph with diameter D and eigenvalues of adjacency matrix.

Let T be a subset of the vertex set of a graph.

Let G be a finite simple undirected graph with edge set E. The power set of E becomes a Z 2 - vector space if we take the symmetric difference as addition, identity function as negation, and empty set as zero.

Let m be the number of elements in the smallest row of our graph ( m

Let G be any graph with n vertices, such that G is K r + 1 -free.

Let be an n-vertex simple graph with no ( r + 1 )- clique and with the maximum number of edges.

Let G be a cycle graph of odd length greater than three ( a so-called " odd hole ").

Let q be a positive integer, and let G be the complete bipartite graph K q, q q .

# Let G be a graph and let.

# Let G be a connected graph and let H be the clutter on consisting of all edge sets of spanning trees of G. Then is the collection of all minimal edge cuts in G.

Let be the functor taking each graph to the set of its edges, and let be ( a functor selecting ) some particular set: then is the category of graphs whose edges are labelled by elements of.

Let be a connected-regular graph with vertices, and let be the eigenvalues of the adjacency matrix of.

Let G be a connected finite graph embedded in Euclidean space of dimension n. Let V be a closed regular neighborhood of G. Then V is an n-dimensional handlebody.

Now let G be some graph, let v be a vertex of G, and let R be a random walk on G starting from v. Let T be some stopping time for R. Then the loop-erased random walk until time T is LE ( R ()).

Let G again be a graph.

Let again G be a graph and let v and w be two vertices in G. Construct a random path from v to w inductively using the following procedure.

: Let G be a finite undirected graph and x and y two distinct vertices.

: Let G be a finite undirected graph and x and y two nonadjacent vertices.

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