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Fractal Geometry

FRACTAL GEOMETRY. Introduction to Fractal Geometry

FRACTAL GEOMETRY. Introduction to Fractal Geometry

... Fractal geometry is based on the idea of self-similar forms. To be self- similar, a shape must be able to be divided into parts that are smaller copies which are more or less similar to the whole. Because ...

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Hexagonal Fractal Geometry Antenna Using Ultra Wide Band Applications

Hexagonal Fractal Geometry Antenna Using Ultra Wide Band Applications

... of fractal geometry into radiators. Fractal antenna’s response differs obviously from traditional antenna ...makes fractal antenna an excellent design for broadband ...of fractal ...

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Interpretation of Tensile Softening in Concrete, Using Fractal Geometry

Interpretation of Tensile Softening in Concrete, Using Fractal Geometry

... fractal geometry. This new softening curve is denominated a `Quasi-fractal' softening curve and consists of two parts, a linear portion at the beginning and an exponential portion in the rest of the ...

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Fibonacci sequence, Golden Ratio and Fractal Geometry as the New Dimensionless Constants for Unraveling the Architectonic Principles of the Cosmos

Fibonacci sequence, Golden Ratio and Fractal Geometry as the New Dimensionless Constants for Unraveling the Architectonic Principles of the Cosmos

... of fractal sets. In fact fractal geometry unlocks the possibility of producing artworks of great aesthetic appeal using simple algorithms and Madelbrot Set is one such example where similar but ...

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Implications of fractal geometry in scientific and technological developments in Latin America

Implications of fractal geometry in scientific and technological developments in Latin America

... the geometry illustrate reality, it simplifies, considering that the processes are linear, assuming that the forms are smooth and ...prehispanic geometry. Prehispanic geometry based study of fractals ...

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Fractal Geometry of Seismic Clusters in the Rhodope Mountain (South Bulgaria Northeast Greece)

Fractal Geometry of Seismic Clusters in the Rhodope Mountain (South Bulgaria Northeast Greece)

... The fractal analysis applied in the present study is an indispensable mathematical tool for assessing and verifying the degree of self-organization of seismic processes not just for the Rhodope region, but also in ...

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An Efficient Segmentation Method for Juxtapleural Parenchyma with Modified Fractal Geometry Based Pulmonary Boundary Detection

An Efficient Segmentation Method for Juxtapleural Parenchyma with Modified Fractal Geometry Based Pulmonary Boundary Detection

... As the grey values between the juxtapleural nodules and the chest are similar, some nodules overlap with the juxtapleural blood vessels. Thus, the pulmonary nodule region attached to the lung wall is often excluded in ...

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Broadband 1-3 piezoelectric composite transducer design using Sierpinski Gasket fractal geometry

Broadband 1-3 piezoelectric composite transducer design using Sierpinski Gasket fractal geometry

... In order to further validate the advantage of designing a composite ultrasound transducer using a fractal geometry, the pulse-echo response of each device was measured exper- imentally. The transducer was ...

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Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 1

Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 1

... in fractal geometry with spreadsheet open the door to computational ...thinking. Fractal is chosen because its output is captivating at the same time it offers challenging problems to all levels of ...

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Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 3
Mandelbrot and Julia Set

Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 3 Mandelbrot and Julia Set

... of fractal geometry which played a key role in the emergence of chaos ...The Fractal Geometry of Nature - and fractal geometry caught the imagination of ...

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Minkowski fractal geometry: An attractive choice of compact antenna and 
		filter designs

Minkowski fractal geometry: An attractive choice of compact antenna and filter designs

... Various fractal geometries have been successfully applied to design compact bandpass filters and miniaturized multiband antennas for different multi-services wireless ...Minkowski fractal geometry ...

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Quantification of echodensities in tuberculous pericardial effusion using fractal geometry: a proof of concept study

Quantification of echodensities in tuberculous pericardial effusion using fractal geometry: a proof of concept study

... Echocardiography is used extensively in patients with pericarditis to identify pericardial effusion, and to look for evidence of cardiac tamponade and constriction [1] It has been proposed that the presence of band-like ...

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Coplanar MEMS Phased Array Antenna Using Koch Fractal Geometry

Coplanar MEMS Phased Array Antenna Using Koch Fractal Geometry

... Koch fractal geometry has been used to improve the frequency behavior of the entire ...the fractal geometry makes the design to have lower profile, wider frequency bandwidth, and lower mutual ...

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About Fractal Geometry of the Glacial Cirques in Rila and Pirin Mountains (Southwest Bulgaria)

About Fractal Geometry of the Glacial Cirques in Rila and Pirin Mountains (Southwest Bulgaria)

... the fractal properties of glacial cirques, there are all prerequisites to believing that landforms formation within Rila and Pirin Mountains is carried out in self-organizing environment which create natural ...

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Three-Dimensional Modeling in Medical Image Processing by Using Fractal Geometry

Three-Dimensional Modeling in Medical Image Processing by Using Fractal Geometry

... second section, fractal geometry applications were studied. The fractal geometry sets were shown in 3D with options. In addition, the existing medical imaging data and some relevant values ...

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Original Article Morphometric approach to decipher the Verrucous Carcinoma - oral squamous cell carcinoma enigma using fractal geometry

Original Article Morphometric approach to decipher the Verrucous Carcinoma - oral squamous cell carcinoma enigma using fractal geometry

... One of the earlier studies appraising the effectiveness of FDs in malignancies was conducted by Sedivyand Windischbergerin 1998. They concludedthat use of fractal analysis might provide a specific determinate ...

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The Study Of The Elements Of Fractal Geometry As A Means Of Integrating Knowledge In Mathematics And Computer Science In The Educational Process Of A Secondary School Students

The Study Of The Elements Of Fractal Geometry As A Means Of Integrating Knowledge In Mathematics And Computer Science In The Educational Process Of A Secondary School Students

... "Fractal Geometry at School", which helps to increase interest in the study of mathematics and computer science, as well as to improve the quality of assimilation of knowledge, training in ...

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Fractal Geometry in Image Processing

Fractal Geometry in Image Processing

... Fractal geometry is widely used in the study of image ...many fractal features that can be generated from an image (Chaudhuri and Sarkar, ...used fractal feature is the fractal ...

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Fractal Geometry of Financial Time Series

Fractal Geometry of Financial Time Series

... Curacao dvi Appeared in Fractals Vol 3, No 3, pp 609 616 (1995), and in Fractal Geometry and Analysis, The Mandelbrot Festschrift, Curac?ao 1995,World Scientific (1996) Fractal Geometry of Financial T[.] ...

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From Fractal Geometry to Fractal Analysis

From Fractal Geometry to Fractal Analysis

... in Fractal geometry the values of segment lengths were strongly determined by the property of geometrical si- milarity, while in the fractal analysis values and shapes of open lines are not ...

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