User behaviors in social networks are microscopic with fine grained temporal information. Predicting a macroscopic quantity based on users’ collective behaviors is an important problem. However, existing works are mainly problem-specific models for the microscopic behaviors and typically design approximations or heuristic algorithms to compute the macroscopic quantity. In this paper, we propose...

We investigate how Drell-Yan processes can be used to measure the magnitude of flavor symmetry violation in the proton sea. We examine the utility of the following beams: protons, charged pions, and charged kaons. In each case we present an approximate expression for the Drell-Yan asymmetry. Using currently available parton distributions, we locate those kinematic regions which provide the grea...

The Fisher ideal total factor productivity (TFP) index requires complete quantity and price information. If input-output quantities are allocatively efficient, the Fisher index can be approximated by the Malmquist TFP index, which does not require price information. This paper elaborates on the conditions under which the Malmquist and Fisher indexes are equivalent. Drawing from these insights, ...

We investigate how Drell-Yan processes can be used to measure the magnitude of flavor symmetry violation in the proton sea. We examine the utility of the following beams: protons, charged pions, and charged kaons. In each case we present an approximate expression for the Drell-Yan asymmetry. Using currently available parton distributions, we locate those kinematic regions which provide the grea...

This study presents an approximate approach for ranking fuzzy numbers based on the centroid point of a fuzzy number and its area. The total approximate is determined by convex combining of fuzzy number’s relative and its area that based on decision maker’s optimistic perspectives. The proposed approach is simple in terms of computational efforts and is efficient in ranking a large quantity of f...

An approximate analytical expression for ”capacitance” of MWPC configurations circulates in the literature since decades and is copied over and over again. In this paper we will try to show that this formula corresponds to a physical quantity that is different from what it is usually thought to stand for.

Let X = P εnxn be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable ||X|| in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given.

Additional problem. Traditional engineering statistical formulas assume that we know the exact values xi of the corresponding quantity. In practice, these values come either from measurements or from expert estimates. In both case, we get only approximations x̃i to the actual (unknown) values xi. When we use these approximate values x̃i 6= xi to compute the desired statistical characteristics suc...