This article gives counterexamples for some conjectures about risk orders. One is that in risky situations, diversification is always beneficial. A counterexample is provided by the Cauchy distribution, for which the sample means have the same distribution as the sample elements, meaning that insuring half the sum of two iid risks of this type is precisely equivalent to insuring one of them ful...

by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...

objectives: hemiplegia is a non-progressive damage in premature growing brain which causes movement disorders in one side of the body. the objective of present research is to study the method of modified constraints induced movement therapy (cimt) which can be appropriate on unimanual and bimanual functions of children with hemiplegia. methods: this single-blinded, randomized, control trial stu...

abstract some issues such as dehydration, local and chronological disproportion of rainfall, low productivity of water in agricultural sector, increasing demand for agricultural products due to increase in population participate with doughtiness are the most challenges of agricultural water. these factors caused water to be as one of the important and scarce inputs is agricultural products. the...

this article is devoted to study of the autoconvolution equations and generalized mittag-leffler functions. these types of equations are given in terms of the laplace transform convolution of a function with itself. we state new classes of the autoconvolution equations of the first kind and show that the generalized mittag-leffler functions are solutions of these types of equations. in view of ...

let a(p) denote the class of functions which are analytic in the open unit disk u. by making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.

in [1] we uniquely introduced ultra exponential functions (uxpa) and de nednext step of the serial binary operations: addition, multiplication and power.also, we exhibited the topic of limit summability of real functions in [2,3]. inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. finally, we pose an unsolved problem aboutthem.

in the present paper, we prove subordination, superordination and sandwich-type properties of a certain integral operators for univalent functions on open unit disc, moreover the special behavior of this class is investigated.

a new derivation of the quantum boltzmann transport equation for the fermion system from the quantum time evolution equation for the wigner distribution function is presented. the method exhibits the origin of the time - irreversibility of the boltzmann equation. in the present work, the spin dependent and indistinguishibility of particles are also considered.