Mamta Rani

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A Rare Variant of Holoprosencephaly: Ethmocephaly with Inferior Proboscis and Amelia

Medical Science and Technology, 2019

Ethmocephaly is a rare phenotypic variant of holoprosencephaly, characterized by the failure of e... more Ethmocephaly is a rare phenotypic variant of holoprosencephaly, characterized by the failure of embryonic prosencephalon to properly divide the orbits of the eye into two cavities with grossly incomplete morphogenesis of fore brain. The severity has a marked variability and ranges from hypotelorism to cyclopia with craniofacial dysmorphism, such as microcephaly with a single central incisor. Reports of this anomaly are few and because of the rarity even among Holoprosencephaly. We report a case of ethmocephay with inferior probocis from 32-year-old lady G2P1L1 with previous history of normal vaginal delivery who presented to us 40 weeks of pregnancy with no fetal movements. She delivered stillbirth: a female fetus with multiple defects and diagnosed as a case of holoprosencephaly with ethmocephaly. Normally the ethamocephaly with superior probocis is usual presentation. But this stillborn fetus cyclop has inferior proboscis, ill-developed face, amelia and foot abnormalities. This ca...

$Research paper thumbnail of New 5-adic Cantor sets and fractal string$

New 5-adic Cantor sets and fractal string

SpringerPlus, 2013

In the year (1879-1884), George Cantor coined few problems and consequences in the field of set t... more In the year (1879-1884), George Cantor coined few problems and consequences in the field of set theory. One of them was the Cantor ternary set as a classical example of fractals. In this paper, 5-adic Cantor one-fifth set as an example of fractal string have been introduced. Moreover, the applications of 5-adic Cantor one-fifth set in string theory have also been studied.

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On the Convergence of Logistic Map in NOOR Orbit

International Journal of Computer Applications, 2012

The logistic map rx(1?x) was given by the Belgian mathematician Pierre Francois Verhulst around 1... more The logistic map rx(1?x) was given by the Belgian mathematician Pierre Francois Verhulst around 1845 and worked as basic model to study the discrete dynamical system. The behavior of logistic map has been already studied in orbits of one-step, two-step and three-step iterative procedures and it has been established that the logistic map is convergent for larger values of 'r' for two-step and three-step iteration methods. In this paper, an attempt have been made to study the convergence of logistic map in Noor orbit, which is a four-step iterative procedure.

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$Research paper thumbnail of Categorization of new fractal carpets$

Categorization of new fractal carpets

Chaos, Solitons & Fractals, 2009

Sierpinski carpet is one of the very beautiful fractals from the historic gallery of classical fr... more Sierpinski carpet is one of the very beautiful fractals from the historic gallery of classical fractals. Carpet designing is not only a fascinating activity in computer graphics, but it has real applications in carpet industry as well. One may find illusionary delighted carpets designed here, which are useful in real designing of carpets. In this paper, we attempt to systematize

Julia sets and Mandelbrot sets in Noor orbit

Applied Mathematics and Computation, 2014

In recent literature, researchers have generated Julia sets and Mandelbrot sets in Mann and Ishik... more In recent literature, researchers have generated Julia sets and Mandelbrot sets in Mann and Ishikawa orbits that are examples of two-step and three-step feedback processes respectively. This paper presents further generalization of Julia and Mandelbrot sets for complex-valued polynomials such as quadratic, cubic and higher degree polynomials using a Noor orbit, which is a four-step iterative procedure. The graphical images of Julia and Mandelbrot sets have been visualized and certain patterns in Mandelbrot sets have been recognized. It is fascinating to see that a few Mandelbrot sets are akin to a butterfly or a coupled urn or a coupled trident.

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Effect of Stochastic Noise on Superior Julia Sets

Journal of Mathematical Imaging and Vision, 2009

Julia sets are considered one of the most attractive fractals and have wide range of applications... more Julia sets are considered one of the most attractive fractals and have wide range of applications in science and engineering. The strong physical meaning of Mandelbrot and Julia sets is broadly accepted and nicely connected by Christian Beck (Physica D 125(3–4):171–182, 1999) to the complex logistic maps, in the former case, and to the inverse complex logistic map, in the

A new experimental approach to study the stability of logistic map

Chaos, Solitons & Fractals, 2009

Remarkably benign looking logistic transformations x n + 1 = rx n (1 − x n ) for choosing x 0 bet... more Remarkably benign looking logistic transformations x n + 1 = rx n (1 − x n ) for choosing x 0 between 0 and 1 and 0 &amp;amp;lt; r 4 have found a celebrated place in chaos, fractals and discrete dynamics. The purpose of this paper is to enhance the capabilities of logistic map via superior iterations. ...

Computer simulation of the behaviour of Julia sets using switching processes

Chaos, Solitons & Fractals, 2008

Inspired by the study of Julia sets using switched processes by Lakhtakia and generation of new f... more

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