The dimensional properties of fields in classical general relativity lead to a tangent tower structure which gives rise directly to quantum mechanical and quantum field theory structures without quantization. We derive all of the fundamental elements of quantum mechanics from the tangent tower structure, including fundamental commutation relations, a Hilbert space of pure and mixed states, meas...

Abstract Tower cranes find wide use in construction works, ports and several loading unloading procedures met industry. A nonlinear optimal control approach is proposed for the dynamic model of 4-DOF underactuated tower crane. The robotic crane undergoes approximate linearization around a temporary operating point that recomputed at each time-step method. relies on Taylor series expansion assoc...

Linial, Mansour and Nisan [7] proved that a function computed by a small-depth circuit of limited size has most of its Fourier support on small sets. We improve their bounds. When the bottom fanin is bounded we use essentially their argument, but to reduce the general case to this case without a loss in the asymptotic bounds requires a new argument. Warning: Essentially this paper is accepted f...

Scannell and Sinha considered a spectral sequence to calculate the rational homotopy groups of spaces of long knots in Rn, for n ≥ 4. At the end of the paper they conjecture that when n is odd, the terms on the antidiagonal at the E2 stage precisely give the space of primitive Feynman diagrams related to the theory of Vassiliev invariants. In this paper we prove that conjecture. This has the ap...

Research conducted in laboratory on long sparks shows that the breakdown voltage of spark gaps increases the presence of corona emission from one or both of the electrodes. This observation together with other reasoning based on intuition has led some scientists to suggest the possibility of avoiding a lightning strike to a building by introducing sufficient quantities of space charge around it...

recently, mohiuddine and alghamdi introduced the notion of lacunary statistical convergence in a locally solid riesz space and established some results related to this concept. in this paper, some inclusion relations between the sets of statistically convergent and lacunary statistically convergent sequences are established and extensions of a decomposition theorem, a tauberian theorem to the l...

in this paper, the concept of {sl local base with  stratifiedstructure} in $i$-topological vector spaces is introduced. weprove that every $i$-topological vector space has a balanced localbase with stratified structure. furthermore, a newcharacterization of $i$-topological vector spaces by means of thelocal base with stratified structure is given.

in this paper, we shall define and study the concept of  -statistical convergence and  -statistical cauchy inrandom 2-normed space. we also introduce the concept of  -statistical completeness which would provide amore general frame work to study the completeness in random 2-normed space. furthermore, we also prove some new results.