Results 51 to 60 of about 469,615 (274)
Abstract Although thermally coupled distillation (TCD) exhibits strong energy efficiency, the possibility of utility cost savings remains debatable. TCD designs that do not consider vapor transport can underestimate costs, making section rearrangement crucial to find more operable configurations.
Anqing Wang+2 more
wiley +1 more source
Algebraic topology in general and homotopy theory in particular is in an exciting period of growth and transformation, driven in part by strong interactions with algebraic geometry, mathematical physics, and representation theory, but also driven by new ...
core +2 more sources
Prerequisite Relations Annotation Tool: Annotation and analysis of educational relations in texts
Abstract Relations between terms in texts have long been studied in linguistics and specialized knowledge domains, especially when occurring in educational materials like textbooks, where they play a crucial role in guiding instructional design and learning.
Chiara Alzetta, Ilaria Torre
wiley +1 more source
The phenomenon of quantum number fractionalization is explained. The relevance of non-trivial phonon field topology is emphasized.
arxiv +1 more source
Peak reduction technique in commutative algebra
The "peak reduction" method is a powerful combinatorial technique with applications in many different areas of mathematics as well as theoretical computer science.
D Wright+11 more
core +2 more sources
Fruit flies and moduli: interactions between biology and mathematics [PDF]
Possibilities for using geometry and topology to analyze statistical problems in biology raise a host of novel questions in geometry, probability, algebra, and combinatorics that demonstrate the power of biology to influence the future of pure ...
Ezra Miller
semanticscholar +1 more source
Abstract This article addresses the cooperative output consensus tracking problem for high‐order heterogeneous multi‐agent systems via a distributed proportional‐integral‐derivative (PID)‐like control strategy and proposes two novel control methodologies for the tuning of the control gains, which do not require any assumption and/or limitation on agent
Dario Giuseppe Lui+2 more
wiley +1 more source
Integrated and Differentiated Spaces of Triangular Fuzzy Numbers
Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling.
Kirişci, Murat
core +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Applied Philosophy in Mathematics [PDF]
We show a possibility to apply certain philosophical concepts to the analysis of concrete mathematical structures. Such application gives a clear justification of topological and geometric properties of considered mathematical objects.
arxiv