If Y is a subset of the space × , we call a pair of continuous functions U , V Y -compatible, if they map the space n into itself and satisfy Ux ·V y > 0, for all (x, y) ∈ Y with x · y > 0. (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential n-dimensional system is investigated, provided the boundary conditions are giv...

The approximation conditions of Strang and Fix are first recalled. An elementary result on the differentiation of a finite elements approximation is proved, followed by a result by Lemarié on the differentiation of a wavelet decomposition. Daubechies’ spline example is detailed. 1 The Strang and Fix conditions 1.1 Main result The following theorem relates the approximating properties of a discr...

Kessler and Livingstone proved an asymptotic formula for the expected length of the largest part of a partition drawn uniformly at random. As a first step they gave an exact formula expressed as a weighted sum of Euler’s partition function. Here we give a short bijective proof of a generalization of this exact formula to the expected length of the kth part. 1. Results By λ ! n we will mean that...

شاخص سطح برگ استخراج‌شده (LAI) از تصاویر سنجش دور پارامتر مهمی، به‌منظور مدل‌سازی مکانی تولید پوشش گیاهی، محسوب می‌شود. معمولاً شاخص‌های گیاهی که با بازتاب طول موج‌های قرمز و مادون نزدیک محاسبه می‌شوند، در برآورد LAI استفاده روش‌های آماری، به‌کار می‌روند اما بسیاری این شاخص‌ها مقادیر متفاوت به اشباع می‌رسند. برای رفع محدودیت، محدودة لبة شده است؛ بنابراین، باید قابلیت داده‌های دور، ذرت علوفه‌ای، ...

روش الکتریکی به عنوان یک بررسی ژئوفیزیکی می‌تواند پارامترهای زمین‌شناسی شامل خردشدگی، شاخص دگرسانی توده سنگ، درصد اشباع، کیفیت آب زیرزمینی و . را خوبی نمایش دهد. این پارامترها نقش مهمی در طبقه‌بندی مهندسی سنگ از طریق تأثیر بر دو (RQD) مقاومت (GSI)، کانه‌زایی عناصر نیز نحوه حفاری دارند. مقاله با استفاده سونداژ قائم لایه‌های زیرسطحی تعیین متعاقباً مذکور توده‌سنگ‌های آذرآواری آنومالی III کانسار نار...

In recent years, there have been numerous studies on Fenton or Fenton-like reactions mediated by nonfree radicals such as singlet oxygen (1O2); however, are few the synergistic effect of 1O2 and free degradation organic molecules, phenol in reaction. this study, a cocatalyst, CoP, commonly used photocatalysis was synthesized using simple two-step method, CoP/Fe2+/AM1.5 system constructed introd...

and Applied Analysis 3 and in H1 Ω , respectively, observe that H⊥, the orthogonal complement of H in L2 Ω , is {∇p : p ∈ H1 Ω } cf. 11 or 12 . ii We denote P : L2 Ω 3 → H the L2 orthogonal projection, usually referred as Helmholtz-Leray projector, and by A −PΔ the Stokes operator with domain D A H2 Ω 3 ∩ V . Notice that in the case of periodic boundary condition, A −Δ|D A is a selfadjoint posi...

The lignocellulose degradation capacity of filamentous fungi has been widely studied because of their cellulase hypersecretion. The p24 proteins in eukaryotes serve important functions in this secretory pathway. However, little is known about the functions of the p24 proteins in filamentous fungi. In this study, four p24 proteins were identified in Penicillium oxalicum. Six p24 double-deletion ...

We review the energy spectrum and transport properties of several types of one-dimensional superlattices (SLs) on single-layer and bilayer graphene. In single-layer graphene, for certain SL parameters an electron beam incident on an SL is highly collimated. On the other hand, there are extra Dirac points generated for other SL parameters. Using rectangular barriers allows us to find analytical ...

We consider a diusion process (Xt) t≥0 , with drift b(x) and diusion coecient σ(x). At discrete times t k = kδ for k from 1 to M , we observe noisy data of the sample path, Y kδ = X kδ + ε k. The random variables (ε k) are i.i.d, centred and independent of (Xt). The process (Xt) t≥0 is assumed to be strictly stationary, β-mixing and ergodic. In order to reduce the noise eect, we split data into...