Background: For psychiatric disorders, comorbidity is a rule rather than exception. Thus it is particularly important to study additive and multiplicative effects of multiple mental disorders on suicidal behaviors. Objectives: The aim of this study was to investigate the ethnic differences in multiplicative effects of mental disorders on suicidal ideation among Black adults in the United States...

todeschini et al. have recently suggested to consider multiplicative variants of additive graphinvariants, which applied to the zagreb indices would lead to the multiplicative zagrebindices of a graph g, denoted by ( ) 1  g and ( ) 2  g , under the name first and secondmultiplicative zagreb index, respectively. these are define as  ( )21 ( ) ( )v v gg g d vand ( ) ( ) ( )( )2 g d v d v gu...

Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative $(alpha, beta)-$derivation is additive.

In this paper, we propose an extension of the so-called Iri-Imai method to solve constrained convex programming problems. The original Iri-Imai method is designed for linear programs and assumes that the optimal objective value of the optimization problem is known in advance. Zhang [18] extends the method for constrained convex optimization, but the optimum value is still assumed to be known in...

Water scarcity and salinity are important limitations for saffron (Crocus sativus L.) production in arid and semi-arid regions. The purpose of this research was to study the interaction effects of water salinity and deficit irrigation on the macroscopic water extraction model for saffron. The effect of salinity and water stress on root-water uptake coefficient was determined by additive and mul...

In this paper definitions of many sorted closure system and many sorted closure operator are introduced. These notations are also introduced in [9], but in another meaning. In this article closure system is absolutely multiplicative subset family of many sorted sets and in [9] is many sorted absolutely multiplicative subset family of many sorted sets. Analogously, closure operator is function b...

Multiplicative Background Risk by Günter Franke, Harris Schlesinger, Richard C. Stapleton We consider random wealth of the multiplicative form x ỹ, where x and ỹ are statistically independent random variables. We assume that x  is endogenous to the economic agent, but that ỹ is an exogenous and uninsurable background risk. Our main focus is on how the randomness of ỹ affects risk-taking beha...

In a recent work, T.S. Evans has claimed that the multiplicative anomaly associated with the zeta-function regularization of functional determinants is regularization dependent. We show that, if one makes use of consistent definitions, this is not the case and clarify some points in Evans’ argument. PACS numbers: 05.30.-d,05.30.Jp,11.10.Wx,11.15.Ex Recently, T.S. Evans [1] has investigated the ...

Multiplicative Background Risk by Günter Franke, Harris Schlesinger, Richard C. Stapleton We consider random wealth of the multiplicative form x ỹ, where x and ỹ are statistically independent random variables. We assume that x  is endogenous to the economic agent, but that ỹ is an exogenous and uninsurable background risk. Our main focus is on how the randomness of ỹ affects risk-taking beha...

We present a proof of the explicit formula probability density function product normally distributed independent random variables using multiplicative convolution for Meijer G functions.