INDEX hidden

Note that the particle and lattice site indexing hidden in this notation mandates a one-one mapping between the lattice sites of the two systems we are free to choose any of the N possibilities. In the case of hep and fee lattices [66] it is natural to exploit the fact that the one lattice can be made out of the other merely by translating close-packed planes, in the fashion depicted in Fig. 6. 

To be a bit more precise, let us use the index a to label the states of the visible neurons, the index fl to label the states of the hidden neurons, and the combined index a(3 to label the complete states of the whole system. Then the probability Pa of finding the visible neurons in state a is given by... 

Perhaps the best site is that of Amnesty International at http //www.amnesty.org. Its page http //web.amnesty.orgAibrary/eng-313/index cites many dozens of case studies, a significant fraction of which involve electricity. Or type electricity into their search engine (almost hidden at the foot of the page), and be shocked at the number of so-called friendly and civilized countries that employ torture Israel, Indonesia, the USA, and many of the new countries of Europe. Be warned some of the details are horrific - electricity is a very efficient way of generating pain. 

When we are truly clueless, we can nevertheless rely on intuition to propose an ad hoc set of structural and related property parameters for the correlation. We may be lucky and find the hidden variable by chance, and we may be inspired. An example is the topological index, which describes how carbon atoms are connected together, and was proposed in the hope that it would correlate a large range of molecular properties. 

Fig. 10 Access to hidden information by data fusion contrast in the SPR image depends on the refractive index C = O str intensity in the FTIR image indicates the PMMA amount in the image voxel. FTIR differentiates very well between pore and bulk regions but not between pores w/o electrolyte. SPR differentiates very well between pores w/o electrolyte but not between filled pore and bulk regions...

Those who work extensively with the literature view it analytically. They constantly ask questions such as Just what does this book tell me that none other does Can this particular index help me find information that would be hidden otherwise Which class of questions will this help me answer This paper is presented from this approach. 

Johann Weyer publishes De Praestigiis Daemonum (The Deceptions of the Devil), in Basel But when the great searcher of hearts, from whom nothing is hidden, shall appear, your wicked deeds shall be revealed, you tyrants, sanguinary judges, butchers, torturers, and ferocious robbers, who have thrown out humanity and do not know mercy. The book is placed on the Index Librorum Prohibitorum. 

The WNN is based on the similarity found between the inverse WT Stromberg s equation (Eq. 9.19) and a hidden layer in the Multi-Layer Perceptron (MLP) network structure (Meyer 1993). In fact, the wavelet decomposition can be seen like a neuronal network model, where the wavelets are indexed by i = instead of the double... 

In the following, we will drop the 00 index. Because A,- = A,-, we regain the usual formula, with multiple-failure and -repair rate now hidden in pt and A,-. 

Hidden in the above expression is the fact that all quantities that carry the index of the second charge 2 are to be taken at time tz although the interaction energy is sought at time fi. 

We must discover culturally hidden scientific taboos that impede progress by traditional unspoken restraints. Consciousness, biological time, fulfilment, spirit, all of these should have their departments in our new Biomimetic Science where they will take on dimensioned and scaled mathematical forms, as for example in the Santosha Index, a co-optimization measure of individual health, happiness and productivity. 

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