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Page 14
... partition function form . The set of players is N = ( 1,2,3 ) and the set П = ( PP ) of partitions of N consists of PO = { N } pi = ( ( i ) , ( j , k } } p4 = { { 1 } , { 2 } , { 3 } } i = 1,2,3 where in this chapter i , j , k always ...
... partition function form . The set of players is N = ( 1,2,3 ) and the set П = ( PP ) of partitions of N consists of PO = { N } pi = ( ( i ) , ( j , k } } p4 = { { 1 } , { 2 } , { 3 } } i = 1,2,3 where in this chapter i , j , k always ...
Page 161
... function can be approximated as a product of partition functions for each kind of energy . q = 3 qtqrqvqe ( 5.24 ) The total partition function may ... PARTITION FUNCTIONS 161 Partition Functions for Translation, Rotation, and Vibration,
... function can be approximated as a product of partition functions for each kind of energy . q = 3 qtqrqvqe ( 5.24 ) The total partition function may ... PARTITION FUNCTIONS 161 Partition Functions for Translation, Rotation, and Vibration,
Page 349
... partition function Z ( 0 ) in pe ( XI ) . This makes it impossible to use the standard CRF learning scheme , since it is designed for tree - structured graphs where the partition function can be computed efficiently using dynamical ...
... partition function Z ( 0 ) in pe ( XI ) . This makes it impossible to use the standard CRF learning scheme , since it is designed for tree - structured graphs where the partition function can be computed efficiently using dynamical ...
Contents
STATES OF THE MODEL SYSTEM | 11 |
AN ELEMENTARY SOLUBLE SYSTEM | 17 |
SHARP PEAK OF gN | 19 |
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approximation Boltzmann bosons calculated Carnot cycle chemical potential classical regime closed system cm³ combined system concentration defined definition denote derivative diffusive contact dipole distribution function electric field electron energy levels ensemble entropy equal equation equilibrium ergs example expansion experimental Fermi energy Fermi gas Fermi-Dirac fermions Figure fluctuations flux fractional free energy free particle frequency gases given grand sum He¹ He³ heat capacity helium ideal gas law increase integral isothermal kinetic lattice liquid low temperature m₁ magnetic field magnetic moment model system molecule N₁ negative temperature number of accessible number of atoms number of particles occupied P₁ partition function photons plotted pressure probable configuration Problem properties quantity quantum number reservoir result spin excess superfluid system in thermal term thermal average thermal contact thermodynamic potential total number U₁ unit velocity versus volume white dwarf ат