In design and fabricate drive shafts with high value of fundamental natural frequency that represented high value of critical speed; using composite materials instead of typical metallic materials could provide longer length shafts with lighter weight. In this paper, multi-objective optimization (MOP) of a composite drive shaft is performed considering three conflicting objectives: fundamental ...

The locations of critical points of lattice models (such as Ising models, percolation problems or self-avoiding walks) depend on the topological structure of the underlying graph, in particular on the dimension and on the (mean) coordination number. However, this can only be a first approximation, and more detailed information on the graph is required for a better understanding of the precise l...

In this paper we use cup-products and higher Massey products to find topological lower bounds on the minimal number of geometrically distinct critical points of any closed 1-form in a given cohomology class.

In the course of writing a chapter of a book we observed some simple facts dealing with the Palais SmaIe property and critical points of functions. Some of these facts turned out to be known, though not well-known, and we think it worthwhile to make them more available. In addition, we present some other recent results which we believe will prove to be useful-in particular, a result of Ghoussou...

Programmed cell death is a distinct genetic and biochemical pathway essential to metazoans. An intact death pathway is required for successful embryonic development and the maintenance of normal tissue homeostasis. Apoptosis has proven to be tightly interwoven with other essential cell pathways. The identification of critical control points in the cell death pathway has yielded fundamental insi...

Supersymmetric vacua (‘universes’) of string/M theory may be identified with certain critical points of a holomorphic section (the ‘superpotential’) of a Hermitian holomorphic line bundle over a complex manifold. An important physical problem is to determine how many vacua there are and how they are distributed. The present paper initiates the study of the statistics of critical points ∇s = 0 o...

Epistemic justification has been claimed to be a special case of argument by philosophers such as Accordingly for each attempt, epistemic justification is the occasion of the arguer making a case for some conclusion based on other premises, when the audience and the arguer are the same person. The dialectical model of argument is used to inform how it is that a subject could come to justify her...