Lieb's square ice constant is a mathematical constant used in the field of combinatorics to approximately count Eulerian orientations of grid graphs....

Hershel Lieb (born July 31, 1932) is an American mathematical physicist. He is a professor of mathematics and physics at Princeton University. Lieb's works...

original (PDF) on 2016-04-19. Retrieved 2015-02-28. Robin Whitty. Lieb's Square Ice Theorem (PDF). Ivan Niven. Averages of exponents in factoring integers...

kagome spin ice which could potentially be used in the future for novel high-speed computers with low power consumption. Lieb's square ice constant Spin glass...

which is known as Lieb's square ice constant. Later in 1967, T. Bill Sutherland generalised Lieb's solution of the three specific ice-type models to a...

in the room, which was at a constant 47 °F (8 °C). The water had therefore received 40 – 33 = 7 “degrees of heat”. The ice had been heated for 21 times...

the play takes place. He has a tendency to give free drinks, though he constantly says otherwise Ed Mosher: Hope's brother-in-law (brother of Hope's late...

is increasing with respect to any set of coupling constants J B {\displaystyle J_{B}} . The Simon-Lieb inequality states that for any set S {\displaystyle...

\cdots ,\omega _{n})} such that the ω i {\displaystyle \omega _{i}} are constant on the level set while θ ˙ i := ( H , θ i ) = ω i {\displaystyle {\dot...

ISBN 978-1-4020-1798-8. Lieb, Elliott H. (24 April 1967). "Exact Solution of the Problem of the Entropy of Two-Dimensional Ice". Physical Review Letters...

including exactly solvable lattice models such as the six-vertex model of Lieb and the Heisenberg spin chain and integrable field theories such as principal...

8-vertex model Gaudin model Ising model in 1- and 2-dimensions Ice-type model of Lieb Quantum Heisenberg model Hitchin system Pentagram map Mathematical...

the course of study of surfaces of constant negative curvature as the Gauss–Codazzi equation for surfaces of constant Gaussian curvature −1 in 3-dimensional...

basketball team and complains about how the coach thinks Mike was so great. Constant comparisons to his brother, Mike, leaves Robbie feeling inferior and angry...

Germans were moving at only 25% of their normal daily speed due to the constant attacks of the maquis all across France. Though the maquis caused the Germans...

(spectral) equation with eigenfunctions ψ {\textstyle \psi } and time-constant eigenvalues (spectral parameters) λ {\textstyle \lambda } .: 4963 : 98 ...

flavors. The Riemannian metric of the target manifold is given by a positive constant multiplied by the Killing form acting upon the Maurer–Cartan form of SU(N)...

people depleted the area of resources. Many indigenous tribes engaged in constant warfare. According to Suzanne Austin Alchon, "At one site in the central...

prerogatives, the G.O.P. conservatives were obliged from the start to wage a constant two-front war: against liberal Democrats from without and "me-too" Republicans...

{X^{(r)}}{\lambda -\lambda _{r}}}+\Omega ,} and Ω {\displaystyle \Omega } is a constant element in g {\displaystyle {\mathfrak {g}}} , in the sense that it Poisson...

ended in 1763 with French defeat, resolving a situation that had been a constant threat to Albany and held back its growth. In 1775, with the colonies in...

shortly after peak brightness where the visual luminosity stays relatively constant for several months before the decline resumes. These are called Type II-P...

{\displaystyle \phi } by constants can be used to make the coefficients of any of the three terms equal to any given non-zero constants. Consider solutions...

century. Unlike wind and solar energy, geothermal plants produce power at a constant rate, without regard to weather conditions. Geothermal resources are theoretically...

For finite large systems, P(pc) is a constant whose value depends upon the shape of the system; for the square system discussed above, P(pc)=1⁄2 exactly...

Pomerania in the same year. Weakened by ongoing internal conflicts and constant warfare, the independent Wendish territories finally lost the capacity...

The military search for Lieutenant Libbey has been carried out over a constantly-widening territory, much of it far off of the supposed line of flight...