In this lecture we compute asumptotics estimates for the Green's function and apply it to the exiting annuli problem. Also we define Capacity, Polar set Prove the B-P-P theorem of Martin's Capacity for Markov chains[3] and use apply it on the intersection of RW problem.

tehran shomal highway passes through alborz mountains with a tunnel length of 6400 meters. there are two main tunnels. a full three-dimensional (3d) numerical analysis coupled with elasto-plastic material models was conducted on the inclined access tunnel. bending moment, axial force and the lining displacements due to the internal forces applied on the shotcrete lining are calculated. axial fo...

This paper covers an experimental analysis on capacity estimation for undisciplined intersections/junctions. Rotary intersections are special form of at-grade intersections laid out for the movement of traffic in one direction around a central traffic island. Essentially all the major conflicts at an intersection namely the collision between through and right-turn movements are converted into m...

The current procedure in the Highway Capacity Manual 2000 for analyzing actuated signalized intersections treats pedestrian crossing and timing in a fixed manner, which can lead to erroneous results in capacity and delay calculations. This paper introduces a new model that remedies such a shortcoming in the current procedure. The model takes into account the stochastic nature of pedestrian cros...

let $g$ be a finite group with the identity $e$‎. ‎the subgroup intersection graph $gamma_{si}(g)$ of $g$ is the graph with vertex set $v(gamma_{si}(g)) = g-e$ and two distinct vertices $x$ and $y$ are adjacent in $gamma_{si}(g)$ if and only if $|leftlangle xrightrangle capleftlangle yrightrangle|>1$‎, ‎where $leftlangle xrightrangle $ is the cyclic subgroup of $g$ generated by $xin g$‎. ‎in th...

We investigate the connection between measure and capacity for the space C of nonempty closed subsets of 2N. For any computable measure μ∗, a computable capacity T may be defined by letting T (Q) be the measure of the family of closed sets K which have nonempty intersection with Q. We prove an effective version of the Choquet’s theorem by showing that every computable capacity may be obtained f...

Work zones generate significant congestion in urban centers, yet the influence of various capacity factors arterials and intersections are poorly understood. This paper analyzes following on arterial intersection work zone from 22 intersections: heavy vehicle flow, percentage, length, maximum speed limit, entrance lane width, left turn volumes, exit width reductions, length width. An was modele...

‎Let $R$ be a commutative ring with non-zero identity. ‎We describe all $C_3$‎- ‎and $C_4$-free intersection graph of non-trivial ideals of $R$ as well as $C_n$-free intersection graph when $R$ is a reduced ring. ‎Also, ‎we shall describe all complete, ‎regular and $n$-claw-free intersection graphs. ‎Finally, ‎we shall prove that almost all Artin rings $R$ have Hamiltonian intersection graphs. ...

Although much is known about the operation of signalized intersections, little or no empirical research has been conducted regarding bicycle capacity at these locations and the correspondent contributory factors. The purpose of this study is to accurately quantify the capacity of bikeway at signalized intersection through a fluid dispersion approach, and ultimately the lane group capacity. Usin...