Minimal length implications on the Hartree–Fock theory

On the Minimal Length of Semigroup Presentations

We define the length of a semigroup presentation and related ideas. Theoretical results and bounds are presented, gained while investigating the lengths of groups defined by semigroup presentations. Minimal length semigroup presentations are obtained in certain cases. AMS Mathematics Subject Classification (2000): 20F05, 20M05

Implications of Minimal Length Scale on the Statistical Mechanics of Ideal Gas

Several alternative approaches to quantum gravity problem suggest the modification of the fundamental volume ω0 of the accessible phase space for representative points. This modified fundamental volume has a novel momentum dependence. In this paper, we study the effects of this modification on the thermodynamics of an ideal gas within the microcanonical ensemble and using the generalized uncert...

On Minimal Length Factorizations of Finite Groups

Morphing the minimal and full-length hammerhead ribozymes: implications for the cleavage mechanism.

The hammerhead ribozyme is a small, intensively studied catalytic RNA, and has been used as a prototype for understanding how RNA catalysis works. In 2003, the importance of a set of tertiary contacts that appear in natural sequences of the hammerhead RNA was finally understood. The presence of these contact regions in stems I and II in 'full-length hammerhead ribozymes' is accompanied by an up...

Levinas\'s Ethical Theory of the other and Its Implications on Education

Background: Modern subject-based philosophy, in which everything reduces to the whole, reduces to the Other to I, or emanates it from the realm of knowledge, ignores the differences, currently cannot answer to ethics. Levinas, as a philosopher who has a concern about the “Other", believes that there is no subject that needs to be known, and the other is "Self" in advance and is touched rather t...