Kantorovitch's theorem gives su cient conditions for the convergence of Newton's method. We presenta full formalization of this theorem in the case of a real function. The work is accomplished inside the Coqproof assistant and it is based on the Reals library provided by the theorem prover. For the general case ofthe theorem we rst describe a way to represent concepts from multivari...

o think that the neoimpressionists are painters who cover canvases with little multicolored spots is a rather widespread mistake, " wrote Paul Signac in his manifesto of their movement. " This mediocre dot method has nothing to do with the aesthetic of the painters we are defending here, nor with the technique of divisionism they use. " Signac was referring to, among others, Georges Seurat, who...

A D.V.M., M.A.M, diplomate A.C.P.V, Technical Services Veterinarian, Lohmann Animal Health International, Inc., 1146 Airport Parkway, Gainesville, GA 30501 B Biologicals Development Director, AVANT Immunotherapeutics, Inc. dba Megan Health, Inc., 8620 Pennell Drive, St. Louis, MO 63114 Research Scientist, AVANT Immunotherapeutics, Inc. dba Megan Health, Inc., 8620 Pennell Drive, St. Louis, MO 6...

[1] We investigate experimentally the functional relationship between capillary pressure, Pc, wetting phase saturation, Sw, and interfacial area per volume between the wetting and nonwetting phases, awn, for drainage and imbibition processes in micromodels of twodimensional pore structures. Within the experimental and analysis error (around 10–15%), the resulting Pc-Sw-awn surfaces were the sam...

MANETs are networks formed by moving nodes. They use wireless communication to speak among them and they do it in an ad hoc manner. MANET is considered as an ideal network model for group communications because of its forte of instant establishment. Since, existence of central servers cannot be expected; nodes need to guarantee their data to reach the destination securely without loss, tamper o...

Attention in the literature has been given to the critical state of nursing leadership development. There is a need to identify effective ways to sustain and develop nursing leaders. Mentoring has been identified as an invaluable tool to attract and retain new nurse leaders. Examining the concept of mentoring in nursing leadership provides a greater understanding of its importance in today’s he...

Let Z and IR (C) denote the ring of the integers and the field of real (complex) numbers, respectively. For a field F, we put i* = F\{0}. Fix A GC and B G C*, and let X(A, B) consist of all those second-order recurrent sequences {wn}neZ of complex numbers satisfying the recursion: n+i = „ ~ n-i (i.e., Bwn_Y = Awn wn+l) for n = 0, ± 1, ± 2,.... (1) For sequences in SE(A,B), the corresponding cha...