We study a generalisation of Simpson reversal (also known as Simpson's paradox or the Yule-Simpson effect) to $2 \times 2 2$ contingency tables and characterise cases for which it can cannot occur with two combinatorial-geometric lemmas. also present conjecture based on some computational experiments expected likelihood such events.

Professor Simpson exhibited a five and a half months' foetus, which had been thrown off by a patient labouring under a severe attack of smallpox. The pustules were distinctly seen all over the foetus, especially on its back. With regard to the time a dead foetus is retained in utero, Prof. Simpson stated that three weeks generally suffices for expelling it; the membranes and placenta first unde...

Multiplicative calculus, also called non-Newtonian represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type was first introduced by Grossman Katz it provides a defined calculation, from start, for positive real numbers only. In this investigation, we propose study symmetrical fractional multiplicative inequalities Simpson type. For this, ...

As highly adapted animals with great evolutionary diversity, the insects are considered important subjects for studies concerning nutrition and feeding behavior. Although they have developed morphological, physiological and behavioral means to guarantee acquisition and utilization of nutrients, the insects are constantly facing more immediate problems when food quality varies not only in space ...

The compactified Jacobian of any projective curve X is defined as the Simpson moduli space of torsion free rank one degree d sheaves that are semistable with respect to a fixed polarization H on X. In this paper we give explicitly the structure of this compactified Simpson Jacobian in the case where X is a generalized tree-like curve, i.e., a projective, reduced and connected curve such that th...

Abstract: The classical Simpson rule is an optimal fourth order two-step integration scheme for first-order initial-value problems; however, it is unconditionally unstable. An A-stabilized version of Simpson rule was given by Chawla et al [3] and an L-stable version was given by Chawla et al [2]. These rules are functionally implicit, and when applied for the time integration of nonlinear diffe...