WILLIAM MARTIN MUIRHEAD

In Memoriam: Martin William Ribarsky

In Memoriam William Martin Gelbart (1945-2015).

WILLIAMMartin Gelbart died Tuesday morning, August 11, 2015, after a valiantfightwith cancer. Bill was born September 11, 1945, in Brooklyn, New York. He obtained a Bachelor of Science degree from Brooklyn College in 1966 and a Ph.D. in Genetics from the University of Wisconsin in 1971, working in the laboratory of Alan Fox. He did postdoctoral workwith Ed Lewis at California Institute of Techn...

Contemporary Drug Abuse Billy R . Martin and William L . Dewey 35 GENERIC

GENERIC NAME PAGE Alfentanil 408 Amobarbital 411 Amphetamine 410 Buprenorphine 408 Butorphanol 408 Caffeine 410 Chlordiazepoxide 411 Cocaine 410 Diazepam 411 Disulfiram 415 Ethanol 412 Fentanyl 408 Flurazepam 411 Heroin 409 Lorazepam 411 LSD 417 GENERIC NAME PAGE Marijuana 416 MDA 418 MDMA 418 Mescaline 417 Methadone 408 Methamphetamine 410 Methylphenidate 410 Midazolam 411 Morphine 409 Nicotin...

Jonathan Martin Whitfield, MB ChB, FRCP(C): a conversation with the editor. Interview by William Clifford Roberts.

The Schur Convexity for the Generalized Muirhead Mean

For x,y > 0 , a,b ∈ R with a+ b = 0 , the generalized Muirhead mean is defined by M(a,b;x,y) = ( xayb+xbya 2 ) 1 a+b . In this paper, we prove that M(a,b;x,y) is Schur convex with respect to (x,y)∈ (0,∞)×(0,∞) if and only if (a,b)∈ {(a,b)∈R2 : (a−b)2 a+b > 0 & ab 0} and Schur concave with respect to (x,y) ∈ (0,∞)×(0,∞) if and only if (a,b)∈ {(a,b)∈R+ : (a−b)2 a+b & (a,b) = (0,0)}∪{(a,b) ∈ R2 : ...