A direct calculation of the free energy from the Bethe ansatz equation for the Heisenberg model. Abstract Thermodynamics of the XXX Heisenberg model is studied. The trace of the Boltz-mann weight with respect to the Hilbert space is taken in the thermodynamic limit with the number of up-spins being fixed. The expression of the trace gives an explanation why the correct thermodynamic quantities ...

The Ising model in two dimensions with the special boundary conditions of Brascamp and Kunz (BK) is analyzed. We derive exact finite-size corrections for the free energy F of the critical ferromagnetic Ising model on the M ×N square lattice with Brascamp–Kunz boundary conditions [H.J. Brascamp, H. Kunz, J. Math. Phys. 15 (1974) 66]. We show that finite-size corrections strongly depend not only ...

We propose a new graphical model, called Sequential Interval Network (SIN), for parsing complex structured activity whose composition can be represented as a string-length limited stochastic context-free grammar. By exploiting the grammar, the generated network captures the activity’s global temporal structure while avoiding time-sliced manner model. In this network, the hidden variables are th...

We propose a class trigram language model in which each class is specified by a stochastic context-free grammar. We show how to estimate the parameters of the model, and how to smooth these estimates. We present experimental perplexity and speech recognition results.

A new method is proposed which enables one to convert the formulae for a uniform multi-component system to those for a non-uniform one. As an application of the method, the expansion formulae of. the free energy, potentials of average force and distribution functions for a non-uniform multi-component system are derived in a simple and systematic way. The formulae are obtained both for a continu...

Evaluasi program menjadi penting untuk dipahami dan dilakukan pendidik, karena setiap pendidik harus mampu evaluator. Model evaluasi banyak ragam fungsinya tergantung dari jenis yang dievaluasi. Dalam pendidikan sedikitnya ada tiga program, yakni pemrosesan, pelayanan, umum. pemrosesan cocok dievaluasi dengan Formative-Summative Evaluation atau Scriven Model, GOE Tyler GFE Model. Dua model yait...