Hyper-computation

In this work we intend to describe a new model of topological quantum computer, which is an alternative respect to the anyonic model. The new model is named gravitational topological quantum computer and in this case the quantum computer is the quantum space-time itself. It is expected that the GTQC will be able to solve hard problems and will be possible to think about gravitational topological quantum hyper-computers which are able to solve incomputable problems. 

From other side, in the realm of the computability theory we made the claim that the GTQC can get the basis for the construction of a hyper-computer and the corresponding hyper-algorithm for the solution of non-computable problems such as the knot problem, the word problem and the homeomorphism problem. 

In order to balance public domain science with a high quality commercial software product it has been necessary for us to reimplement almost every aspect of computational chemistry embodied in HyperChem. All HyperChem source code is written in C or C-t-t, specified, designed, and implemented by Hyper-Chem s developers. We have stood on the scientific shoulders of giants, but we have not used their FORTRAN code Thus, although we have had access to MOPAC and other public domain codes for testing and other purposes, HyperChem computes MINDO, MNDO, and AMI wave functions, for example, with HyperChem code, not MOPAC code. We have made the effort to implement modern chemical science in a modern software-engineered product. 

A comparison of 190 with 1,3-dioxane 177 shows that the anomeric interactions in 177 are much stronger than in 190. Moreover, the balance of the computed hyper-conjugative interactions successfully accounts for the relative C—Ha and C—Hgq... 

Lead-based, high-temperature superconductors are being studied in several research projects. Their superior performance characteristics are expected to facilitate development of new hyper-fast computers, as well as more sensitive medical diagnostic equipment, more efficient energy delivery systems, and new forms of high-speed surface transportation. 

Figure 4.12 [E] Computer-simulated ESR spectra for a hypothetical low-spin Mn(n) radical with g = (2.100, 2.050, 2.000), AMn = (150, 25, 25) x 10-4 cm-1, for various values of / , the Euler angle between the g-matrix and hyper-...

Hypercube, Inc. at http //www.hyper.com offers molecular modeling packages under the HyperChem name. HyperChem s newest version, Hyper-Chem Release 7.5, is a full 32-bit application, developed for the Windows 95, 98, NT, ME, 2000, and XP operating systems. Density Functional Theory (DFT) has been added as a basic computational engine to complement Molecular Mechanics, Semiempirical Quantum Mechanics and ab initio Quantum Mechanics. The DFT engine includes four combination or hybrid functions, such as the popular B3-LYP or Becke-97 methods. The Bio+ force field in HyperChem represents a version of the Chemistry at HARvard using Molecular Mechanics (CHARMM) force field. Release 7.5 of HyperChem updates... 

Computational methods typically employ the Born-Oppenheimer approximation in most electronic structure programs to separate the nuclear and electronic parts of the Schrodinger equation that is still hard enough to solve approximately. There would be no potential energy (hyper)surface (PES) without the Born-Oppenheimer approximation -how difficult mechanistic organic chemistry would be without it ... 

Allinger NL, Chen K, Katzenellenbogen JA, Wilson SR, Anstead GM. Hyper-conjugative effects on carbon-carbon bond lengths in molecular mechanics (MM4). J Comput Chem 1996 17 747-755. 

In this section we present summaries of the DRF approach in various fields of computational chemistry, ranging from spectra and (hyper-)polarizabilities to chemical reactions in solution. 

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