A Theory of the Learning Process

A new theory of the learning process is proposed, based on the assumption that learning resembles a search programme using the branch and bound algorithm. Examples from diverse fields are given, and means of testing the theory are suggested. It is argued that the implications of the theory are important for industrial competition strategy and for energy policy.     

Direct Form I Realization of Active Photonic Filters

Abstract

An integrated photonic architecture is introduced and used to realize an optical filter with direct form I realization. The architecture offers gain from semiconductor optical amplifiers, and this gain results in an active optical filter whose filter response depends on the individual gains. The presence of gain provides advantages in filter performance, and tunable and adaptive functionality. The optical filter is modeled as a discrete time system and the z-transform is used in its analysis and design. A low-pass filter design example is presented and the filter coefficients are derived in terms of gains and coupler splitting ratios. The region of stable operations is derived by applying the Schur-Cohn stability test.     

A genetic algorithm for the structural optimization of Morse clusters

This article describes the application of a genetic algorithm for the structural optimization of 19–50-atom clusters bound by medium-range and short-range Morse pair potentials. The GA is found to be efficient and reliable for finding the geometries corresponding to the previously published global minima [Doye JPK, Wales DJ (1997) J Chem Soc Faraday Trans 93: 4233]. Using the genetic algorithm, only a relatively small number of energy evaluations and minimizations are required to find the global minima. By contrast, a simple random search algorithm often cannot find the global minima of the larger clusters, even after many thousands of searches. Received: 27 October 1999 / Accepted: 7 December 1999 / Published online: 19 April 2000     

Design of liquid crystals with "de Vries-like" properties: organosiloxane mesogen with a 5-phenylpyrimidine core

According to a new design strategy for "de Vries-like" liquid crystal materials, we report the synthesis and characterization of an organosiloxane mesogen with a 5-phenylpyrimidine core that forms SmA and SmC liquid crystal phases. This new material is characterized by a maximum layer contraction of 1.2% upon SmA-SmC phase transition and is comparable to the best "de Vries-like" materials reported heretofore.     

Mechanisms for the selective gas-phase fragmentation reactions of methionine side chain fixed charge sulfonium ion containing peptides

To enable the development of improved tandem mass spectrometry based methods for selective proteome analysis, the mechanisms, product ion structures, and other factors influencing the gas-phase fragmentation reactions of methionine side-chain derivatized "fixed-charge" phenacylsulfonium ion containing peptide ions have been examined. Dissociation of these peptide ions results in the exclusive characteristic loss of the derivatized side chain, thereby enabling their selective identification. The resultant product ion(s) are then subjected to further dissociation to obtain sequence information for subsequent protein identification. Molecular orbital calculations (at the B3LYP/6-31 + G (d,p) level of theory) performed on a simple peptide model, together with experimental evidence obtained by multistage dissociation of a regioselectively deuterated methionine derivatized sulfonium ion containing tryptic peptide, indicate that fragmentation of the fixed charge containing peptide ions occurs via SN2 reactions involving the N- and C-terminal amide bonds adjacent to the methionine side chain, resulting in the formation of stable cyclic five- and six-membered iminohydrofuran and oxazine product ions, respectively. These studies further indicate that the rings formed via these neighboring group reactions are stable to further dissociation by MS3. As a consequence, the formation of b- or y-type sequence ions are "skipped" at the site of cyclization. Despite this, complete sequence information is still obtained because of the presence of both cyclic products.     

The synthesis of single enantiomers of meromycolic acids from mycobacterial wax esters

Three stereoisomers of a wax ester meromycolate have been prepared starting from mannitol. A detailed comparison of their NMR spectra with those reported for a homologous series of natural wax esters allows the relative configurations of the α-methyl group and adjacent trans-cyclopropane to be determined.     

Solvation in mixed aqueous solvents from a thermodynamic cycle approach

A novel approach is presented for interpreting and potentially predicting values of the isothermal, isobaric transfer free energy, entropy, and enthalpy (Deltamicrotr2, Deltastr2, and Deltahtr2) for a solute between water and water-cosolvent mixtures. The approach explicitly accounts for volumetric properties of the solvent and solute (the equation of state, EoS) and casts the overall transfer process as a thermodynamic cycle with two stages: (1) isothermal solvent exchange from pure water to the cosolvent composition of interest at fixed mass density; (2) isothermal expansion or compression at the final solvent composition to recover the pressure of the initial state. Using molecular simulations with methane as the solute, the analysis is illustrated over a wide range of cosolvent concentrations for sorbitol-, ethanol-, and methanol-water binary mixtures. The EoS contribution semiquantitatively or quantitatively captures Deltamicrotr2, Deltastr2, and Deltahtr2 in almost all cases tested, highlighting the importance of considering the effects of changes in solvent density on the overall transfer process. The results also indicate that apolar solvation at these length scales is dominated by the work of cavity formation across a range of cosolvent species and concentrations.     

Ligand-protein docking with water molecules

The presence of water molecules plays an important role in the accuracy of ligand-protein docking predictions. Comprehensive docking simulations have been performed on a large set of ligand-protein complexes whose crystal structures contain water molecules in their binding sites. Only those water molecules found in the immediate vicinity of both the ligand and the protein were considered. We have investigated whether prior optimization of the orientation of water molecules in either the presence or absence of the bound ligand has any effect on the accuracy of docking predictions. We have observed a statistically significant overall increase in accuracy when water molecules are included during docking simulations and have found this to be independent of the method of optimization of the orientation of water molecules. These results confirm the importance of including water molecules whenever possible in a ligand-protein docking simulation. Our findings also reveal that prior optimization of the orientation of water molecules, in the absence of any bound ligand, does not have a detrimental effect on the improved accuracy of ligand-protein docking. This is important, given the use of docking simulations to predict the binding modes of new ligands or drug molecules.     

Observation of ultrafast NH3 (Ã) state relaxation dynamics using a combination of time-resolved photoelectron spectroscopy and photoproduct detection

The ultrafast excited state relaxation of ammonia is investigated by resonantly exciting specific vibrational modes of the electronically excited NH(3) (?) state using three complementary femtosecond (fs) pump-probe techniques: time-resolved photoelectron, ion-yield and photofragment translational spectroscopy. Ammonia can be seen as a prototypical system for studying non-adiabatic dynamics and therefore offers a benchmark species for demonstrating the advantages of combining the aforementioned techniques to probe excited state dynamics, whilst simultaneously illuminating new aspects of ammonia's photochemistry. Time-resolved photoelectron spectroscopy (TRPES) provides direct spectroscopic evidence of σ* mediated relaxation of the NH(3) (?) state which manifests itself as coupling of the umbrella (ν(2)) and symmetric N-H stretch (ν(1)) modes in the photoelectron spectra. Time-resolved ion yield (TRIY) and time-resolved photofragment translation spectroscopy (TRPTS) grant a measure of the dissociation dynamics through analysis of the H and NH(2) photodissociation co-fragments. Initial vibrational level dependent TRIY measurements reveal photoproduct formation times of between 190 and 230 fs. Measurement of H-atom photoproduct kinetic energies enables investigation into the competition between adiabatic and non-adiabatic dissociation channels at the NH(3) (?)/NH(3) (X?) conical intersection and has shown that upon non-adiabatic dissociation into NH(2) (X?) + H, the NH(2) (X[combining tilde]) fragment is predominantly generated with significant fractions of internal vibrational energy.     

Hyperconjugation and homoconjugation in alkyl radicals bearing β-phosphorus substituents

The isotropic ³¹P hyperfine splitting constants derived from the ESR spectra of a series of β-phosphorus-substituted alkyl radicals are in the order expected for hyperconjugative spin transmission.