A Note on Hyperplane Generation

A note on random number generation

Ja n 20 01 A note on the moving hyperplane method

Let us consider the problem:    −∆ p u = f (u) in Ω, u = 0 on ∂Ω, u ∈ C 1 (Ω), u > 0 in Ω (1) where 1 < p ≤ 2, Ω ⊂ R N is a bounded convex domain, ∆ p is the p-Laplacian operator defined by ∆ p u = div(|∇u| p−2 ∇u) and f : R → [0, +∞) is continuous on R, locally Lipschitz continuous on (0, +∞) and satisfies ∃C 0 , C 1 > 0 such that C 0 |u| q ≤ f (u) ≤ C 1 |u| q ∀u ∈ R + where q > p − 1. In [...

A Note on Mustaţă’s Computation of Multiplier Ideals of Hyperplane Arrangements

In [7], M. Mustaţă used jet schemes to compute the multiplier ideals of reduced hyperplane arrangements. We give a simpler proof using a log resolution and generalize to non-reduced arrangements. By applying the idea of wonderful models introduced by De Concini–Procesi [1], we also simplify the result. Indeed, Mustaţă’s result expresses the multiplier ideal as an intersection, and our result us...

A note on generation times in epidemic models.

The time between the infection of a primary case and one of its secondary cases is called a generation time. The distribution (and mean) of the generation times is derived for a rather general class of epidemic models. The relation to assumptions on distributions of latency times and infectious times or more generally on random time varying infectiousness, is investigated. Serial times, defined...

wind farm impact on generation adequacy in power systems

در سال های اخیر به دلیل افزایش دمای متوسط کره زمین، بشر به دنبال روش های جایگزین برای تامین توان الکتریکی مورد نیاز خود بوده و همچنین در اکثر نقاط جهان سوزاندن سوخت های فسیلی در نیروگاه های حرارتی به عنوان مهم ترین روش تولید توان الکتریکی مطرح بوده است. به دلیل توجه به مسایل زیست محیطی، استفاده از منابع انرژی تجدید پذیر در سال های اخیر شدت یافته است. نیروگاه های بادی به عنوان یک منبع تولید توان...