For a space X belonging to a class including all double suspensions of finite type, we construct for any field k a cochain complex hos(X) such that H∗ ( hos(X) ) ∼= H∗(LXhS1 ; k), the cohomology of the homotopy orbit space of the natural S-action on the free loop space LX. The model hos∗(X) is “small” and thus lends itself relatively easily to explicit computation. Furthermore hos∗(X) fits into...

—Driven by recent advances in batch Reinforcement Learning (RL), this paper contributes to the application of batch RL to demand response. In contrast to conventional model-based approaches, batch RL techniques do not require a system identification step, which makes them more suitable for a large-scale implementation. This paper extends fitted Q-iteration, a standard batch RL technique, to the...

Predicate abstraction is an effective technique for scaling Software Model Checking to real programs. Traditionally, predicate abstraction abstracts each basic block of a program P to construct a small finite abstract model – a Boolean program BP , whose state-transition relation is over some chosen (finite) set of predicates. This is called SmallBlock Encoding (SBE). A recent advancement is La...

Let-7 microRNA (miRNA) regulates heterochronic genes in developmental timing of the nematode Caenorhabditis elegans. Binding of miRNA to messenger RNA (mRNA) and structural features of the complex are crucial for gene silencing. We herein present the NMR solution structure of a model mimicking the interaction of let-7 miRNA with its complementary site (LCS 2) in the 3' untranslated region (3'-U...

In this paper we consider finite loops of specific order and we show that certain abelian groups are not isomorphic to inner mapping groups of these loops. By using our results we are able to construct a finite solvable group of order 120 which is not isomorphic to the multiplication group of a finite loop.

We show that all (n-component) KP tau-functions, which are related to the twisted loop group of GLn, give solutions of the Darboux-Egoroff system of PDE’s. Using the Geometry of the Grassmannian we construct from the corresponding wave function the deformed flat coordinates of the Egoroff metric and from this the corresponding solution of the Witten–Dijkgraaf–E. Verlinde–H. Verlinde equations

We consider the Super Yang–Mills/spin system map to construct the SU(2) spin bit model at the level of two loops in Yang–Mills perturbation theory. The model describes a spin system with chaining interaction. In the large N limit the model is shown to be reduced to the two loop planar integrable spin chain.

We revisit Stasheff’s construction of a minimal Lie-Quillen model of a simplyconnected closed manifold M using the language of infinity-algebras. This model is then used to construct a graded Lie bracket on the equivariant homology of the free loop space of M minus a point similar to the Chas-Sullivan string bracket.

statement of problem: t-loop is one of the most popular closing loops in orthodontic profession. however its activation is in the contrary to bouschinger effect theory, since the formed bends would be opened during activation. the purpose of this study was to add a helix in a way to be more respondent to the bouschinger effect theory. objectives: to compare the load deflection, maximal elastic ...

We will construct the Lusztig form for the quantum loop algebra of gln by proving the conjecture [4, 3.8.6] and establish partially the Schur–Weyl duality at the integral level in this case. We will also investigate the integral form of the modified quantum affine gln by introducing an affine stabilisation property and will lift the canonical bases from affine quantum Schur algebras to a canoni...