Francisco Perdomo

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In this note, by using complex variable functions, we present a new simpler proof of the degeneracy property of the longest-edge n-section of triangles for n P 4. This means that the longest-edge n-section of triangles for n P 4 produces a sequence of triangles with minimum interior angle converging to zero. 2012 Elsevier Inc. All rights reserved.
A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection Francisco Perdomo a,b, Ángel Plaza a,b,∗, Eduardo Quevedo c, José P. Suárez a,d a Division of Mathematics, Graphics and Computation (MAGiC). IUMA, Information and Communication Systems, University of Las Palmas de Gran Canaria (ULPGC), Spain b Department(More)
From an initial triangle, three triangles are obtained joining the two equally spaced points of the longest-edge with the opposite vertex. This construction is the base of the longestedge trisection method. Let D be an arbitrary triangle with minimum angle a. Let D be any triangle generated in the iterated application of the longest-edge trisection. Let a0(More)
Sixty-four strains ofRhizobium and seven other rhizosphere bacteria were evaluated by streak-plate, double-layer, and spent-culture methods to determine their antibiotic activity againstMacrophomina phaseolina, causative agent of 'ashy stem' blight of beans. Expression of inhibition varied among strains and depended on growth media and screening method. The(More)
In the article [Applied Mathematics and Computation 219 (4) (2012) 2342-2344] there exists a minor error in the case n = 4. We correct the error and give a proof for the case n = 4. The argument in reference [1] used that “Since |z− 1| ≥ 12 , then Imw(z) Im z ≤ 2n ”. It should be noted that the later inequality does not hold. Notice that Imw(z) Im z = 1(More)
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