ABSTRACT. We study the shape of the Young diagram λ associated via the Robinson–Schensted– Knuth algorithm to a random permutation in Sn such that the length of the longest decreasing subsequence is not bigger than a fixed number d; in other words we study the restriction of the Plancherel measure to Young diagrams with at most d rows. We prove that in the limit n → ∞ the rows of λ behave like ...

Given a sequence π1π2 . . . πn, a longest increasing subsequence (LIS) in a window π〈l, r〉= πlπl+1 . . . πr is a longest subsequence σ = πi1πi2 . . . πiT such that l ≤ i1 < i2 < · · · < iT ≤ r and πi1 < πi2 < · · · < πiT . We consider the Lisw problem, which is to find the longest increasing subsequences in a sliding window of fixed-size w over a sequence. Formally, it is to find a LIS for ever...

in this paper, the temperature distribution in workpiece and microstructure of welded zone in friction stir welding of aluminum 1100 alloys and the effect of the tool rotational speed on these parameters have investigated experimentally. also feed forward back propagation neural network has been used to predict the temperature of the workpiece during the welding process by considering the proce...

the germination characteristics and seedling growth of 25 rapeseed cultivars under six levels of salt (naci) stresses including 0, 3, 6, 9, 12 and 15 ds/m were studied. the germination percentage of the rapeseed cultivars did not decrease significantly with increasing salt levels up to 12 ds/m. however, the required time for germination increased with increasing the salt percentage in the growt...

lapping is one of the most important polishing processes which can be used to fabricate flat and smooth surfaces. in this paper, the effect of lapping characteristics and mesh number of abrasive particles are studied on the surface roughness and flatness for the machining of hardened aisi 52100 rings. the most significant lapping characteristics are pressure, lap plate speed and time. scanning ...

crops and agricultural products are subject to natural loading during growth. different mechanical forces are also exerted on them during harvest. one product, sugar cane, experiences large shear forces are during harvest. an examination of the crop properties and machine parameters of sugar cane are necessary to develop appropriate cutting tools and the optimization and design of harvesting ma...

In this study, a mathematical model is introduced to simulate the coupled heat transfer equation and Stefan condition occurring in moving boundary problems such as the solidification process in the continuous casting machines. In the continuous casting process, there exists a two-phase Stefan problem with moving boundary. The control-volume finite difference approach together with the boundary ...

in this project creep feed grinding process of gas turbine blade root is investigated with the aim of consistant and controlable production. inthispaper, effectiveness of creep feed grinding process prometers suchas wheel speed, workpiece speed, grind depth and dresser speed are investigated. this investigation include their interaction on thelob of gas torbine blade root, as amajor cause of a ...