and Applied Analysis 3 The following type of Strichartz estimate was used in [19, 20] for the study of the Benjamin-Ono equation. We refer to [12] for the counterpart to the Schrödinger equation. Lemma 5. Let T ≤ 1 and V be a solution to the equation i∂ t V + ΔV = F 1 + F 2 , (t, x) ∈ (0, T) ×R 2 . (15) Then, for δ ∈ R and ε > 0, one has 󵄩󵄩󵄩󵄩 J δ V 󵄩󵄩󵄩󵄩L p T L q ≲ ‖V‖ L ∞ T H δ+1/2+ε + 󵄩󵄩󵄩󵄩F1 󵄩...

introduction: with regard to the importance of life quality (lq) in patients with cancer, especially breast cancer, and research conflicts about quality and quantity of the effect of counseling on lq promotion in such patients and for determining the effect of group counseling on symptom scales of lq in patients with breast cancer treated by chemotherapy, this study was carried out at the at th...

We show that in generic leptoquark (LQ) extensions of the standard model lepton and baryon numbers are broken at the level of renormalizable operators. In particular, this may cause fast proton decay unless the leptoquarks are heavy enough. We derive stringent bounds for the 1st generation LQ masses and couplings from the proton stability constraints. Leptoquark models [1, 2] remain an attracti...

West Java as a national manufacturing center has experienced industrialization since 1989. This is marked by the continuous increase in sector so that it able to shift other sectors. Unfortunately, occurred was not followed reduction labor productivity Java. The convergence of an important phenomenon because inequality can lead different pace development and exacerbate inequality. study uses dy...

For p ∈ R, the generalized logarithmic mean Lp a, b , arithmetic mean A a, b and geometric mean G a, b of two positive numbers a and b are defined by Lp a, b a, a b; Lp a, b a 1 − b 1 / p 1 a − b , p / 0, p / − 1, a/ b; Lp a, b 1/e b/a 1/ b−a , p 0, a/ b; Lp a, b b − a / ln b − lna , p −1, a/ b; A a, b a b /2 and G a, b √ ab, respectively. In this paper, we give an answer to the open problem: f...

This paper considers point and interval estimation of the lq loss of an estimator in high-dimensional linear regression with random design. We establish the minimax rate for estimating the lq loss and the minimax expected length of confidence intervals for the lq loss of rate-optimal estimators of the regression vector, including commonly used estimators such as Lasso, scaled Lasso, square-root...

The tool most commonly used for quantitative predictions of dose/fractionation dependencies in radiotherapy is the mechanistically based linear-quadratic (LQ) model. The LQ formalism is now almost universally used for calculating radiotherapeutic isoeffect doses for different fractionation/protraction schemes. In summary, the LQ model has the following useful properties for predicting isoeffect...

A 124 (1882–2005) summer record of total surface energy content consisting of time series of surface equivalent temperature (TE) and its components T (mean air temperature) and Lq/cp (moist enthalpy, denoted Lq) is developed, quality controlled, and analyzed for Columbus, Ohio, where long records of monthly dewpoint temperature are available. The analysis shows that the highest TE occurs during...

This technical report considers the design of optimal trajectories of linearly constrained linear quadratic (LQ) systems. It is shown that by applying a Fourier-based state parameterization approach a linearly constrained LQ problem can be converted into a quadratic programming problem. Simulation results show that the proposed approach is an accurate and computationally efficient design tool f...