In this paper we give a new formula for the n-th power of a 2× 2 matrix. More precisely, we prove the following: Let A = ( a b c d ) be an arbitrary 2×2 matrix, T = a+ d its trace, D = ad− bc its determinant and define yn : = bn/2c ∑ i=0 ( n− i i ) T n−2i(−D)i. Then, for n ≥ 1, A = ( yn − d yn−1 b yn−1 c yn−1 yn − a yn−1 ) . We use this formula together with an existing formula for the n-th pow...

shown that severe acidosis Is necessary for the development c d amblyopia and amau rosis. According to the literature of experimental methanol lsontng, severe acidosis has been demons neither in h # Gll n carnivorous animals. Haskell and his cotiab orators (1921) experimented on dogs, in some of which 7 found a slight or moderate degree of acidosis, while in ``theta there was no reduction of th...

An affine transformation on the plane is a mapping T that preserves collinearity and ratios of distances: given two points A and B, if C is the middle of the segment [A,B] then T (C) is the middle of the segment [T (A), T (B)]. Translations, contractions, expansions, reflections, rotations, are all particular cases of affine transformations. In general, an affine transformation T maps a point (...

This article begins by introducing the basic economic framework for studying litigation and out-of-court settlement. One set of issues addressed is positive (or descriptive) in nature. Under what conditions will someone decide to file suit? When do cases settle out of court? Normative issues are also addressed. Are these private litigation decisions in the interest of society more broadly? Next...

An integrated simulation-based fuzzy regression-time series algorithm for electricity consumption estimation with non-stationary data Ali Azadeh a , Morteza Saberi b c d & Anahita Gitiforouz a a Department of Industrial Engineering, University College of Engineering, University of Tehran, P.O. Box 11365-4563, Iran b Department of Industrial Engineering, University of Tafresh, Tafresh, Iran c In...

A G3P(1+1) who underwent dilatation and curettage (D and C) for persistent vaginal bleeding after a month of molar evacuation, underwent successful treatment of choriocarcinoma with methotrexate and was able to have normal baby weighing 2800 gms with good Apgar score and normal placenta. This shows that a normal menstruation and uncomplicated term delivery can be expected after complete chemoth...

Transcatheter uterine artery embolization is well described and performed for treatment of symptomatic uterine leiomyomas, for postpartum hemorrhage, and for hemorrhage following hysterectomy. Embolic agents have included polyvinyl alcohol, gelfoam, coils, and Embospheres®. We present a case of severe uterine hemorrhage after a missed abortion (after two instances of dilatation and curettage), ...

It i s emphasized t h a t a d i s t r i b u t i o n func t ion i n both the d i s l o c a t i o n loop lengths and obstac le s t rengths must be considered t o develop a q u a n t i t a t i v e theory f o r the h y s t e r e t i c d i s s i p a t i o n o f energy. That i s when d i s l o c a t i o n surmounts an undulat ing i n t e r n a l s t ress f i e l d and t h e break-away i s r e s t r i...