Differential Geometry of the q-plane

Hopf algebra structure on the differential algebra of the extended $q$-plane is defined. An algebra of forms which is obtained from the generators of the extended $q$-plane is introduced and its Hopf algebra structure is given.Comment: 9 page

Two-parameter nonstandard deformation of 2x2 matrices

We introduce a two-parameter deformation of 2x2 matrices without imposing any condition on the matrices and give the universal R-matrix of the nonstandard quantum group which satisfies the quantum Yang-Baxter relation. Although in the standard two-parameter deformation the quantum determinant is not central, in the nonstandard case it is central. We note that the quantum group thus obtained is related to the quantum supergroup $GL_{p,q}(1|1)$ by a transformation.Comment: 10 page

Channeling of Electrons in a Crossed Laser Field

In this article a new analytical description of the effective interaction potential for a charged particle in the field of two interfering laser beams is presented. The potential dependence on the lasers intensities, orientation and parameters of the particle entering the considered system is analyzed. It is shown for the case of arbitrary lasers crossing angle that for different values of projectile velocity the attracting potential becomes a scattering one so that the channel axes and borders interchange each other. In addition the projectile radiation spectral distribution is given and general estimations on the expected beam radiation yield are outlined

Principal and Practical Foundations of a Global Constitutional Order

Experts of human behavior tell us that people first band together for the basic essentials of life: food and protection from the elements through clothing and shelter; and then, the vital need for security of the person. Thus, the security of the group grows out of, and in theory exists for, the security of each of its members. Constitutional systems, therefore, do not arise in a vacuum, rather they are the product of a number of specific preexisting characteristics and exist for specific reasons. Look to the preamble of the basic documents of any political society and you will find these objectives most affirmatively proclaimed. Peace, security, happiness—these are their objectives. To achieve them, political societies or polities promulgate constitutions. Sadly, some populations include additional condemnable objectives, defiling Immanuel Kant’s categorical imperative of unconditional and universal binding moral obligations. It is in this manner that the troubles begin among our subsisting nation-states. Let us then inspect Kant’s proposition—this alleged “command of reason”—in the context of past and continuing challenges to our global society

Living with polypharmacy: a narrative interview study with older Pakistanis in East London.

BACKGROUND: Polypharmacy is a growing and major public health issue. It can be burdensome and risky for patients and costly to healthcare systems. Older adults and those from ethnic minority backgrounds are disproportionately affected by polypharmacy. This study focuses on medication practices among Urdu-speaking Pakistani patients, a significant ethnic group in the UK. Most existing research on medication practices within South-Asian communities centres on adherence, leaving the social and moral dimensions of polypharmacy unpacked. Understanding how British Pakistani patients understand and manage polypharmacy in the context of their daily lives is crucial to avoiding harmful polypharmacy. METHODS: In-depth narrative interviews were conducted with 15 first-generation Pakistani patients using the Biographical Narrative Interview Method. Participants were recruited from GP practices in East London. All participants were prescribed ten or more regular medications (a pragmatic marker of 'higher risk' polypharmacy) and were aged over 50. Interviews were conducted with a bilingual researcher at home and were designed to elicit narratives of patients' experiences of polypharmacy in the context of their biographies and daily lives. RESULTS: Polypharmacy is enacted through networks of interpersonal and socio-material relationships. The doctor-patient relationship and the family network held particular significance to study participants. In addition, participants described emotional bonds between themselves and their medicines, identifying them as 'forces for good'-substances which allowed them to maintain their health through the intercession of God. Meanings attributed to medicines and enacted through these social, emotional, and spiritual relationships contributed to emerging and sustaining polypharmacy. CONCLUSIONS: Patients make sense of and manage treatments in culturally specific ways. Developing an understanding of how medication practices in different communities are enacted is important for informing meaningful and effective conversations with patients about their medicines. Our findings contribute to enabling the integration of culturally sensitive approaches to prescribing

The effect of the thermal conductivity of the substrate on droplet evaporation

The evaporation of liquid droplets is of fundamental importance to industry, with a vast number of applications including ink-jet printing, spray cooling and DNA mapping, and has been the subject of considerable theoretical and experimental research in recent years. Significant recent papers include those by Deegan [1], Deegan et al. [2], Hu and Larson [3], Poulard et al. [4], Sultan et al. [5], and Shahidzadeh-Bonn et al. [6]