A 39-year-old female presented with a mobile 1.5 cm nodule in the right breast. Fine needle aspiration cytology smears stained with May Grunwald Giemsa were highly cellular with a monotonous population of dissociated and clustered tumour cells that showed a bland cytological appearance with cytoplasmic vacuolation and occasional signet ring forms. Intracellular and extracellular mucus was prese...

A fourth-order compact difference approximation is derived for the space fractional derivatives by using the weighted average of the shifted Grunwald formulae combining the compact technique. The properties of proposed fractional difference quotient operator are presented and proved. Then the new approximation formula is applied to solving the space fractional diffusion equations. By the energy...

In Europe G6PD deficiency is encountered most frequently in Sardinia and Greece but may also be found in other Mediterranean countries (Sansone, Piga, and Segni, 1958; Szeinberg, Asher, and Sheba, 1958), including Yugoslavia (Fraser, Grunwald, and Stamatoyannopoulos, 1966). The occurrence of haemolytic anaemia after ingestion of fava beans in Yugoslavia was first reported as a clinical finding ...

Stochastic differential equations (SDEs) have been applied by engineers and economists because it can express the behavior of stochastic processes in compact expressions. In this paper, by using Grunwald-Letnikov fractional derivative, the stochastic differential model is improved. Two numerical examples are presented to show efficiency of the proposed model. A numerical optimization approach b...

The theory of derivative of noninteger order goes back to Leibniz, Liouville, Riemann, Grunwald and Letnikov. Derivatives of fractional order have found many applications in recent studies in mechanics, physics, economics, medicine.Classes of fractional differentiable systems have studied in [10], [4]. In the first section the fractional tangent bundle to a differentiable manifold is defined, u...

Let E/Q be an elliptic curve and p be a prime number, and let G be the Galois group of the extension of Q obtained by adjoining the coordinates of the p-torsion points on E. We determine all cases when the Galois cohomology group H ( G,E[p] ) does not vanish, and investigate the analogous question for E[p] when i > 1. We include an application to the verification of certain cases of the Birch a...

At 25.0 °C the specific rates of solvolysis for allyl and vinyl chloroformates have been determined in a wide mix of pure and aqueous organic mixtures. In all the solvents studied, vinyl chloroformate was found to react significantly faster than allyl chloroformate. Multiple correlation analyses of these rates are completed using the extended (two-term) Grunwald-Winstein equation with incorpora...

The solvolyses of 4-fluorophenyl chlorothionoformate (1) are studied in fifteen binary aqueous organic mixtures of widely varying nucleophilicity and ionizing power values. The specific rates of solvolyses of 1 are plotted against the specific rates of solvolysis observed for phenyl chloroformate (2) and deviations from the line-of-best-fit are observed in some of the highly ionizing aqueous fl...

Becker, P.T., Grunwald, P.C., & Brazy, J.E. (1999). Motor organization in very low birth weight infants during caregiving: Effects of a developmental intervention. Journal of Developmental and Behavioral Pediatrics, 20(5), 344 – 352. A study of very low birth weight (VLBW) infants demonstrated that using an individualized, developmentally supportive approach to handling the newborn rather than ...