algorithm: variable V-cycle Let mk be the number of smoothings and assume that β0mk ≤ mk−1 ≤ β1mk , where 1 < β0 ≤ β1. Algorithm Let B1 = Λ −1 1 . Assuming Bk−1 : Σk−1 → Σk−1 be defined, define Bk : Σk → Σk as follows. Let g ∈ Σk and τ 0 = 0. (1) τ l = τ l−1 + Rk(g −Λkτ ) for l = 1, · · · , mk; (2) σk = τk + IkBk−1I t k(g −Λkτ k); (3) σ = σ + Rk(g −Λkσ ) for l = mk + 1, · · · , 2mk ; Set Bkg = ...

From detailed optimization of configuration, volume averaged beta < β >∼ 5% has been achieved in the Large Helical Device(LHD). While the heating efficiency was the main point to be optimized in this approach, to form a more peaked pressure profile is another promising approach towards the high beta regime. A higher electron density profile with a steeper pressure gradient has been formed by pe...

This paper studies the classical tomographical problem of the reconstruction of a binary matrix from projections in presence of absorption. In particular, we consider two projections along the horizontal and vertical directions and the mathematically interesting case of the absorption coefficient β0 = 1+ √ 5 2 . After proving some theoretical results on the switching components, we furnish a fa...

I have been collaborating with Gavin Brown since 1990. Our research mainly concerns the positivity of trigonometric sums and Jacobi polynomial sums. It also concerns multiple trigonometric sums and the convergence of the linear means of multiple Fourier series and Fourier-Laplace series. The present report is a survey on our joint results. §1 Positivity of trigonometric sums In 1990, we conside...

محاسبه دز جذبی در اندام انسان یکی از اولین گام‌­ها برای توسعه رادیوداروهای جدید است. هدف این مطالعه تخمین توسط ترکیب نوین نشاندار Cu-NODAGA-RGD-BBN64 بدین‌منظور ابتدا با تغییر پارامترهای مؤثر بر نشاندارسازی شرایط بهینه تهیه شد. پایداری پپتید هترودیمر بافر سالین فسفات (PBS) و سرم خون انسانی به مدت 12 ساعت ارزیابی پس آن، توزیع زیستی کمپلکس موش‌های حامل تومور تزریق مورد بررسی قرار گرفت. نهایت، اسا...

We study ridge-regularized generalized robust regression estimators, i.e β̂ = argminβ∈Rp 1 n n ∑ i=1 ρi(Yi −X ′ iβ) + τ 2 ‖β‖ , where Yi = i +X ′ iβ0 . in the situation where p/n tends to a finite non-zero limit. Our study here focuses on the situation where the errors i’s are heavy-tailed and Xi’s have an “elliptical-like” distribution. Our assumptions are quite general and we do not require ho...

We discuss semiparametric regression when only the ranks of responses are observed. The model is Yi = F (x ′ iβ0 + εi), where Yi is the unobserved response, F is a monotone increasing function, xi is a known p−vector of covariates, β0 is an unknown p-vector of interest, and εi is an error term independent of xi. We observe {(xi, Rn(Yi)) : i = 1, . . . , n}, where Rn is the ordinal rank function...

In order to calculate confidence intervals and hypothesis tests, it is assumed that the errors are independent and normally distributed with mean zero and variance 2 σ . Given a sample of N observations on X and Y, the method of least squares estimates β0 and β1 as well as various other quantities that describe the precision of the estimates and the goodness-of-fit of the straight line to the d...