We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold (M, g) and the Lq,p-cohomology of that manifold. The Lq,p-cohomology of (M,g) is defined to be the quotient of the space of closed differential forms in L(M) modulo the exact forms which are exterior differentials of forms in L(M).

We investigated the applicability of the repairable-conditionally repairable (RCR) model and the multi-target (MT) model to dose conversion in high-dose-per-fraction radiotherapy in comparison with the linear-quadratic (LQ) model. Cell survival data of V79 and EMT6 single cells receiving single doses of 2-12 Gy or 2 or 3 fractions of 4 or 5 Gy each, and that of V79 spheroids receiving single do...

: H F R Q V LG H U W ZR S U R E OH P V R Q G LV V H F W LR Q V R I S R O\J R Q V ,Q W K H p U V W S U R E OH P ZH F R Q V LG H U W K H P LQ LP X P Q X P E H U R I S LH F H V LQ G LV V H F W LQ J ZLW K U H F W LOLQ H D U J OD V V F X W V D Q P Q d P Q U H F W D Q J OH LQ W R D X Q LW V TX D U H $ U H F W D Q J OH LV F D OOH G V H P L LQ W H J H U LI H LW K H U LW V E D V H R U LW V K H LJ K W LV...

and Applied Analysis 3 for any fixed T > 0. Then v,H can be extended beyond T > 0 if one of the following conditions is satisfied: 1 u ∈ C ( 0, T ;Ln/3 ) , 1.11 2 u ∈ L 0, T ;L with 2 p n q 3, n 3 < q ≤ n, 1.12 3 ∇u ∈ C ( 0, T ;Ln/4 ) , 1.13 4 ∇u ∈ L 0, T ;L with 2 p n q 4 with n 4 < q ≤ n 2 . 1.14 Remark 1.5. If we delete the harmless lower order terms ∂tu − Δu and ∂tB − ΔB in 1.1 and 1.2 , th...

در این مقاله یک مدل ریاضی برای مسئله سیستم تولیدی همکارانه ساخت بر اساس سفارش با رعایت انصاف تخصیص بار‌های تولید طراحی شده است. اهداف اصلی مدل، کمینه‌سازی هزینه‌‌های کل و حداکثر استفاده از منابع به‌منظور عادلانه شرایط عدم­قطعیت کنترل پارامتر‌های غیرقطعی روش برنامه‌ریزی فازی ‌شده نتایج نشان می‌دهد افزایش نرخ عدم‌قطعیت، می­یابد. ازآنجاکه ظرفیت کارخانه‌ها ثابت است، مقدار تقاضا، هر کارخانه نیز می­ی...

BACKGROUND Functional movement tests that are predictive of injury risk in National Collegiate Athletic Association (NCAA) athletes are useful tools for sports medicine professionals. The Lower Quarter Y-Balance Test (YBT-LQ) measures single-leg balance and reach distances in 3 directions. PURPOSE To assess whether the YBT-LQ predicts the laterality and risk of sports-related lower extremity ...

Sparse learning has recently received increasing attention in many areas including machine learning, statistics, and applied mathematics. The mixed-norm regularization based on the l1/lq norm with q > 1 is attractive in many applications of regression and classification in that it facilitates group sparsity in the model. The resulting optimization problem is, however, challenging to solve due t...

The mycotoxin citrinin (CTN), a natural contaminant in foodstuffs and animal feeds, exerts cytotoxic and genotoxic effects on various mammalian cells and embryos. A previous investigation by our group revealed potentially hazardous effects of CTN on mouse oocyte maturation and pre- and post-implantation embryo development via the induction of apoptosis. The present study showed that CTN induces...

'HFLVLRQ 6XSSRUW 6\VWHPV LQ WKH VHQVH RI RQOLQH DOWHUQDWLYH FRXUVH RI DFWLRQ $&2$ GHYHORSPHQW DQG DQDO\VLV DV ZHOO DV WRROV KDYLQJ WKH SRWHQWLDO WR EH XVHG IRU RQOLQH 'HYHORSPHQW RI 'RFWULQH DQG 7DFWLFV 7HFKQLTXHV DQG 3URFHGXUHV '773 IRU VXSSRUW WR RSHUDWLRQV œ PDNH LW SRVVLEOH WR HYDOXDWH WKH FRPPDQG DQG FRQWURO SURFHVVHV DQG WKH SHUIRUPDQFH FDSDELOLWLHV RI WKH IULHQGO\ DQG HQHP\ IRUFHV DQG RW...

,Q WKLV SDSHU ZH SURSRVH D FRQWURO FKDQQHO EDVHG ULQJ QHWZRUN EXLOW XS RI ILEHU ULEERQ SRLQW WR SRLQW OLQNV 2QH RI WKH ILEHUV LQ HDFK OLQN IRUPV SDUW RI WKH FRQWURO FKDQQHO ULQJ RYHU ZKLFK PHGLXP DFFHVV FRQWURO LQIRUPDWLRQ LV VHQW LPPHGLDWHO\ EHIRUH GDWD WUDQVPLVVLRQV 7KLV LQFUHDVHV SHUIRUPDQFH RI WKH QHWZRUN +LJK WKURXJKSXWV FDQ EH DFKLHYHG LQ WKH QHWZRUN GXH WR SLSHOLQLQJ L H VHYHUDO SDFNHWV ...