bipartite

Definitions

  • WordNet 3.6
    • adj bipartite involving two parts or elements "a bipartite document","a two-way treaty"
    • adj bipartite divided into two portions almost to the base
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Webster's Revised Unabridged Dictionary
    • Bipartite Being in two parts; having two correspondent parts, as a legal contract or writing, one for each party; shared by two; as, a bipartite treaty.
    • Bipartite Divided into two parts almost to the base, as a leaf; consisting of two parts or subdivisions.
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Century Dictionary and Cyclopedia
    • bipartite In two parts; having two correspondent parts, as a legal contract or writing, one for each party; duplicate.
    • bipartite In botany, divided into two parts nearly to the base, as the leaves of many passion-flowers.
    • bipartite In mathematics, containing two separate sets of variable values; made up of two continuous, but non-intersecting, curves.
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Chambers's Twentieth Century Dictionary
    • adj Bipartite bi′part-īt or bī-pärt′īt divided into two like parts
    • adj Bipartite bi′part-īt or bī-pärt′īt, divided into two like parts
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Etymology

Webster's Revised Unabridged Dictionary
L. bipartitus, p. p. of bipartire,; bis, twice + partire,. See Partite
Chambers's Twentieth Century Dictionary
L. bi-, bis, twice, partitus, divided—part-īre, to divide.

Usage

In literature:

This anomaly is usually associated with bipartite or double uterus.
"Anomalies and Curiosities of Medicine" by George M. Gould
Associated Words: bipartible, bipartite, bipartition, bipartient, bisect, bisection.
"Putnam's Word Book" by Louis A. Flemming
Correspondingly, the anthropology exhibits man as bipartite, or even tripartite, and the Christology is strictly docetic and anti-Jewish.
"History of Dogma, Volume 1 (of 7)" by Adolph Harnack
Bipartite division of the brain, 67.
"Essay on the Creative Imagination" by Th. Ribot
But it is clearly connected with the theory of bipartition.
"A Critical History of Greek Philosophy" by W. T. Stace
In all other genera examined, the muscle is bipartite.
"Myology and Serology of the Avian Family Fringillidae" by William B. Stallcup
The style, which varies much in length, is simple, with an undivided or bilobed or bipartite stigma.
"Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 5" by Various
We see the bipartites appear, when two kindred species mix together under the influence of man, these animals partaking of the qualities of both.
"Martyria" by Augustus C. Hamlin
This bipartite manual formed, of course, an improvement on the system formerly in vogue, which must have been very puzzling to boys.
"Schools, School-Books and Schoolmasters" by W. Carew Hazlitt
I believe our right to establish this bipartite division cannot be questioned.
"A General Introduction to Psychoanalysis" by Sigmund Freud
Austria, a German monarchy, and Hungary, a Magyar kingdom, together form a bipartite state.
"Alden's Handy Atlas of the World" by John B. Alden
He held that the Son was a torch lighted at the torch of the Father, that Father and Son are a bipartite light.
"Encyclopaedia Britannica, 11th Edition, Volume 13, Slice 4" by Various
I obtained for him a bipartite volume by Ben Jonson, comprising the description of James I.
"The Confessions of a Collector" by William Carew Hazlitt
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In news:

It is a data structure which can be visualized as a bipartite graph with state variables and actions as nodes and which approximates (upper bound) the set of reachable states with a given number of sets of simultaneous actions.
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In science:

Such lattices are said to be “bi-partite”, and are the only type that we shall consider here. A square grid is an example of a bipartite lattice.
Computer Science in Physics
The ground state for a bipartite lattice with negative interactions has all spins +1 on sublattice A and all spins −1 on sublattice B, or vice-versa.
Computer Science in Physics
Consider a Hamiltonian of the above models with chiral symmetry H = P c† i tij cj + h.c. on a bipartite lattice Λ which can be decomposed into two sublattices ΛA and ΛB .
Numerical Replica Limit for the Density Correlation of the Random Dirac Fermion
Then Alice measures her side according to the above bipartite protocol, leaving (Bob-Chris) in one of two orthogonal states depending upon which tripartite pure state they all originally shared.
Optimal local discrimination of two multipartite pure states
Then Bob & Chris can simply apply the bipartite protocol to tell which state they had.
Optimal local discrimination of two multipartite pure states
This result in turn can be used to show, following exactly the same argument as the above bipartite one, that any two multiparty pure states can be distinguished in an optimal manner using local operations only.
Optimal local discrimination of two multipartite pure states
Now we apply the result to two non-orthogonal pure product bipartite states.
Optimal Conclusive Discrimination of Two Non-orthogonal Pure Product Multipartite States Locally
We have considered only the bipartite case so far, but our protocol can be easily generalized to two multipartite entangled states.
Optimally Conclusive Discrimination of Non-orthogonal Entangled States Locally
On the other hand λ1 = −λn because G is bipartite.
THe largest eigenvalue of sparse random graphs
G2 be a subgraph of G induced by the set V (G) − X and finally let G3 be a bipartite subgraph of G containing all the edges between X and V (G) − X .
THe largest eigenvalue of sparse random graphs
Y1 − T in G6 is at most one and the graph is bipartite, we obtain that G6 − H is a union of vertex disjoint stars.
THe largest eigenvalue of sparse random graphs
Fournier, Combinatorial of perfect matchings in plane bipartite graphs and applications to tilings in the present volume.
An algorithm to generate exactly once every tiling with lozenges of a domain
There is, however, one ma jor simplification due to the bipartite nature of the original lattice, which is also of physical importance as we discuss below.
Thermodynamics of strongly disordered spin ladders
Physically this simply reflects the fact that the nearest neighbor AF couplings on a bipartite lattice has no frustration; they prefer the spins in the same sublattice to be parallel, and in opposite sublattices to be antiparallel.
Thermodynamics of strongly disordered spin ladders
Physically, such behavior has its origin in the bipartite nature of the lattice structure of the 2-leg ladder.
Thermodynamics of strongly disordered spin ladders
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