Some new qq-congruences for truncated basic hypergeometric series

We provide several new $q$-congruences for truncated basic hypergeometric series, mostly of arbitrary order. Our results include congruences modulo the square or the cube of a cyclotomic polynomial, and in some instances, parametric generalizations thereof. These are established by a variety of techniques including polynomial argument, creative microscoping (a method recently introduced by the first author in collaboration with Zudilin), Andrews' multiseries generalization of the Watson transformation, and induction. We also give a number of related conjectures including congruences modulo the fourth power of a cyclotomic polynomial.Comment: 14 pages, more background and references adde

The Relationship of Actual Versus Needed Parent Participation and Stress Explained by Social Support

This study examined the relationship of actual versus needed parent participation and stress explained by social support. It was the goal to develop a better understanding of individual differences in parents having a handicapped child related to actual and needed parent participation in their child\u27s educational program. The subjects were 100 parents of children across various handicapping conditions from 2 to 25 years of age (M = 11.1) in Omaha, Nebraska. Twenty-eight fathers and 72 mothers completed the questionnaires. The majority of respondents were married (80%). The data collection procedures requested the completion of a Demographic Data Sheet, the Social Support Questionnaire Short-Revised (Sarason, et al., in press), the Questionnaire on Resources and Stress - Friedrich (Friedrich et al., 1983). Four hypotheses were stated: (1) parent\u27s indication of availability of and satisfaction with social support will predict parental stress; (2) parental stress, availability of and satisfaction with social support will predict actual parent participation; (3) parental stress, availability of and satisfaction with social support will predict needed parent participation; (4) there will be a difference between actual and needed parent participation. A full model multiple regression analyses and a t-test were chosen to to test the hypotheses. Results indicate that social support is a significant predictor of parental stress associated with having a handicapped child in a here-to-fore untested population (M = 11.1 years). Stress and social support neither predicted actual nor needed parent participation. A difference (22%) between actual participation and needed parent participation was found, providing empirical backup for unmet parent participation needs. Results were discussed in terms of similarities and differences with other studies. Original assumptions were reconsidered in light of the new findings. Implications for further research were suggested

The Relationship of Actual Versus Needed Parent Participation and Stress Explained by Social Support

This study examined the relationship of actual versus needed parent participation and stress explained by social support. It was the goal to develop a better understanding of individual differences in parents having a handicapped child related to actual and needed parent participation in their child\u27s educational program. The subjects were 100 parents of children across various handicapping conditions from 2 to 25 years of age (M = 11.1) in Omaha, Nebraska. Twenty-eight fathers and 72 mothers completed the questionnaires. The majority of respondents were married (80%). The data collection procedures requested the completion of a Demographic Data Sheet, the Social Support Questionnaire Short-Revised (Sarason, et al., in press), the Questionnaire on Resources and Stress - Friedrich (Friedrich et al., 1983). Four hypotheses were stated: (1) parent\u27s indication of availability of and satisfaction with social support will predict parental stress; (2) parental stress, availability of and satisfaction with social support will predict actual parent participation; (3) parental stress, availability of and satisfaction with social support will predict needed parent participation; (4) there will be a difference between actual and needed parent participation. A full model multiple regression analyses and a t-test were chosen to to test the hypotheses. Results indicate that social support is a significant predictor of parental stress associated with having a handicapped child in a here-to-fore untested population (M = 11.1 years). Stress and social support neither predicted actual nor needed parent participation. A difference (22%) between actual participation and needed parent participation was found, providing empirical backup for unmet parent participation needs. Results were discussed in terms of similarities and differences with other studies. Original assumptions were reconsidered in light of the new findings. Implications for further research were suggested

Quantum computing with spatially delocalized qubits

We analyze the operation of quantum gates for neutral atoms with qubits that are delocalized in space, i.e., the computational basis states are defined by the presence of a neutral atom in the ground state of one out of two trapping potentials. The implementation of single qubit gates as well as a controlled phase gate between two qubits is discussed and explicit calculations are presented for rubidium atoms in optical microtraps. Furthermore, we show how multi-qubit highly entangled states can be created in this scheme.Comment: 4 pages, 4 figure

Handling and analysis of ices in cryostats and glove boxes in view of cometary samples

Comet nucleus sample return mission and other return missions from planets and satellites need equipment for handling and analysis of icy samples at low temperatures under vacuum or protective gas. Two methods are reported which were developed for analysis of small icy samples and which are modified for larger samples in cometary matter simulation experiments (KOSI). A conventional optical cryostat system was modified to allow for transport of samples at 5 K, ion beam irradiation, and measurement in an off-line optical spectrophotometer. The new system consists of a removable window plug containing nozzles for condensation of water and volatiles onto a cold finger. This plug can be removed in a vacuum system, changed against another plug (e.g., with other windows (IR, VIS, VUV) or other nozzles). While open, the samples can be treated under vacuum with cooling by manipulators (cut, removal, sample taking, irradiation with light, photons, or ions). After bringing the plug back, the samples can be moved to another site of analysis. For handling the 30 cm diameter mineral-ice samples from the KOSI experiments an 80x80x80 cm glove box made out of plexiglass was used. The samples were kept in a liquid nitrogen bath, which was filled from the outside. A stream a dry N2 and evaporating gas from the bath purified the glove box from impurity gases and, in particular, H2O, which otherwise would condense onto the samples