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200 relations: Abstract and concrete, Acryloyl group, African art, Algae, Algorithm, Algorithmic composition, Animal coloration, Arc length, Archaeology, Arthur C. Clarke, Artifact (error), Attractor, Banach fixed-point theorem, Bar-Ilan University, Barycentric subdivision, Batik, Benoit Mandelbrot, Bernard Bolzano, Bernhard Riemann, Bifurcation theory, Blood vessel, Box counting, Brefeldia maxima, Brownian motion, Brownian tree, Burning Ship fractal, Butterfly effect, Cache coherence, Cantor set, Categorization, Cell division, Cello Suites (Bach), Chaos theory, Circadian rhythm, Clifford A. Pickover, Coast, Complex number, Complex plane, Complexity, Computer graphics, Continuous function, Crater, Cymatics, David Foster Wallace, Decalcomania, Diamond-square algorithm, Differentiable function, Diffusion-limited aggregation, Digital sundial, Divination, ..., DNA, Dragon curve, Droste effect, Emergence, Euclidean geometry, Fault (geology), Feigenbaum function, Felix Hausdorff, Felix Klein, Fern, Finite subdivision rule, Form constant, Formula, Fractal analysis, Fractal antenna, Fractal art, Fractal compression, Fractal cosmology, Fractal derivative, Fractal dimension, Fractal dimension on networks, Fractal in soil mechanics, Fractal landscape, Fractal string, Fractal-generating software, Fractalgrid, Fracton, Fracture mechanics, Frond, Game design, Gaston Julia, Geography, Georg Cantor, Gottfried Wilhelm Leibniz, Graph of a function, Graphics processing unit, Greeble, Hausdorff dimension, Heart sounds, Heinz-Otto Peitgen, Helge von Koch, Henri Poincaré, Hilbert curve, Histopathology, Hokky Situngkir, Homeomorphism, Homunculus, How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension, In silico, Infinite Jest, Infinite regress, Integer, Intuition, Ion thruster, Iterated function system, Iteration, Jackson Pollock, Julia set, Karl Weierstrass, Koch snowflake, L-system, Lacunarity, Lévy C curve, Lévy flight, Lebesgue covering dimension, Lewis Fry Richardson, Lichtenberg figure, Life, Lightning, Line (geometry), List of fractals by Hausdorff dimension, Lists of shapes, Logistic map, Loren Carpenter, Lyapunov fractal, Macrocosm and microcosm, Mandelbox, Mandelbrot set, Mandelbulb, MARPAT, Max Ernst, Medical imaging, Menger sponge, Michael Silverblatt, Michaelis–Menten kinetics, Mountain, Multifractal system, Multiplicative calculus, Neuroscience, Newton fractal, Nova (TV series), Ornament (art), Pathology, Patterns in nature, Paul Lévy (mathematician), PBS, Peano curve, Percolation, Percolation theory, Pierre Fatou, Polygon, Power law, Predictability, Procedural generation, Protein, Pulmonary circulation, Random walk, Rasterisation, Reason, Recurrence relation, Recursion, Rings of Saturn, River, Romanesco broccoli, Ron Eglash, Scaling (geometry), Search and rescue, Seismology, Self-avoiding walk, Self-reference, Self-similarity, Shape, Shlomo Havlin, Sierpinski carpet, Sierpinski triangle, SIGGRAPH, Signal, Slime mold, Small-angle X-ray scattering, Soil mechanics, Space-filling curve, Stochastic, Strange loop, Subjective character of experience, Subset, Systems theory, T-shirt, T-square (fractal), Technical analysis, TED (conference), Texture mapping, The Fractal Geometry of Nature, Topology, Turbulence, Turtle graphics, Volume, Wacław Sierpiński, Weierstrass function, Wiener process, Wind wave. Expand index (150 more) »
Abstract and concrete
Abstract and concrete are classifications that denote whether a term describes an object with a physical referent or one with no physical referents.
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Acryloyl group
In organic chemistry, the acryloyl group is form of enone with structure H2C.
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African art
African art describes the modern and historical paintings, sculptures, installations, and other visual culture from native or indigenous Africans and the African continent.
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Algae
Algae (singular alga) is an informal term for a large, diverse group of photosynthetic organisms that are not necessarily closely related, and is thus polyphyletic.
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Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
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Algorithmic composition
Algorithmic composition is the technique of using algorithms to create music.
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Animal coloration
Animal coloration is the general appearance of an animal resulting from the reflection or emission of light from its surfaces.
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Arc length
Determining the length of an irregular arc segment is also called rectification of a curve.
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Archaeology
Archaeology, or archeology, is the study of humanactivity through the recovery and analysis of material culture.
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Arthur C. Clarke
Sir Arthur Charles Clarke (16 December 1917 – 19 March 2008) was a British science fiction writer, science writer and futurist, inventor, undersea explorer, and television series host.
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Artifact (error)
In natural science and signal processing, an artifact is any error in the perception or representation of any information, introduced by the involved equipment or technique(s).
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Attractor
In the mathematical field of dynamical systems, an attractor is a set of numerical values toward which a system tends to evolve, for a wide variety of starting conditions of the system.
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Banach fixed-point theorem
In mathematics, the Banach fixed-point theorem (also known as the contraction mapping theorem or contraction mapping principle) is an important tool in the theory of metric spaces; it guarantees the existence and uniqueness of fixed points of certain self-maps of metric spaces, and provides a constructive method to find those fixed points.
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Bar-Ilan University
Bar-Ilan University (אוניברסיטת בר-אילן Universitat Bar-Ilan) is a public research university in the city of Ramat Gan in the Tel Aviv District, Israel.
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Barycentric subdivision
In geometry, the barycentric subdivision is a standard way of dividing an arbitrary convex polygon into triangles, a convex polyhedron into tetrahedra, or, in general, a convex polytope into simplices with the same dimension, by connecting the barycenters of their faces in a specific way.
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Batik
Batik (Javanese: ꦧꦠꦶꦏ꧀) is a technique of wax-resist dyeing applied to whole cloth, or cloth made using this technique originated from Indonesia.
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Benoit Mandelbrot
Benoit B.  Mandelbrot  (20 November 1924 – 14 October 2010) was a Polish-born, French and American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".
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Bernard Bolzano
Bernard Bolzano (born Bernardus Placidus Johann Nepomuk Bolzano; 5 October 1781 – 18 December 1848) was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, also known for his antimilitarist views.
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Bernhard Riemann
Georg Friedrich Bernhard Riemann (17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry.
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Bifurcation theory
Bifurcation theory is the mathematical study of changes in the qualitative or topological structure of a given family, such as the integral curves of a family of vector fields, and the solutions of a family of differential equations.
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Blood vessel
The blood vessels are the part of the circulatory system, and microcirculation, that transports blood throughout the human body.
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Box counting
Box counting is a method of gathering data for analyzing complex patterns by breaking a dataset, object, image, etc.
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Brefeldia maxima
Brefeldia maxima is a species of non-parasitic plasmodial slime mold, and a member of the class Myxomycetes.
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Brownian motion
Brownian motion or pedesis (from πήδησις "leaping") is the random motion of particles suspended in a fluid (a liquid or a gas) resulting from their collision with the fast-moving molecules in the fluid.
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Brownian tree
A Brownian tree, whose name is derived from Robert Brown via Brownian motion, is a form of computer art that was briefly popular in the 1990s, when home computers started to have sufficient power to simulate Brownian motion.
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Burning Ship fractal
The Burning Ship fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function: in the complex plane \mathbb which will either escape or remain bounded.
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Butterfly effect
In chaos theory, the butterfly effect is the sensitive dependence on initial conditions in which a small change in one state of a deterministic nonlinear system can result in large differences in a later state.
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Cache coherence
In computer architecture, cache coherence is the uniformity of shared resource data that ends up stored in multiple local caches.
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Cantor set
In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.
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Categorization
Categorization is the process in which ideas and objects are recognized, differentiated, and understood.
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Cell division
Cell division is the process by which a parent cell divides into two or more daughter cells.
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Cello Suites (Bach)
The six Cello Suites, BWV 1007-1012, are suites for unaccompanied cello by Johann Sebastian Bach.
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Chaos theory
Chaos theory is a branch of mathematics focusing on the behavior of dynamical systems that are highly sensitive to initial conditions.
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Circadian rhythm
A circadian rhythm is any biological process that displays an endogenous, entrainable oscillation of about 24 hours.
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Clifford A. Pickover
Clifford Alan Pickover (born August 15, 1957) is an American author, editor, and columnist in the fields of science, mathematics, science fiction, innovation, and creativity and is employed at the IBM Thomas J. Watson Research Center in Yorktown, New York.
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Coast
A coastline or a seashore is the area where land meets the sea or ocean, or a line that forms the boundary between the land and the ocean or a lake.
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Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
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Complex plane
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
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Complexity
Complexity characterises the behaviour of a system or model whose components interact in multiple ways and follow local rules, meaning there is no reasonable higher instruction to define the various possible interactions.
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Computer graphics
Computer graphics are pictures and films created using computers.
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Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
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Crater
Crater may refer to.
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Cymatics
Cymatics, from κῦμα, meaning "wave", is a subset of modal vibrational phenomena.
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David Foster Wallace
David Foster Wallace (February 21, 1962 – September 12, 2008) was an American writer and university instructor in the disciplines of English and creative writing.
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Decalcomania
Decalcomania (from the French décalcomanie) is a decorative technique by which engravings and prints may be transferred to pottery or other materials.
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Diamond-square algorithm
The diamond-square algorithm is a method for generating heightmaps for computer graphics.
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Differentiable function
In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
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Diffusion-limited aggregation
Diffusion-limited aggregation (DLA) is the process whereby particles undergoing a random walk due to Brownian motion cluster together to form aggregates of such particles.
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Digital sundial
A digital sundial is a clock that indicates the current time with numerals formed by the sunlight striking it.
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Divination
Divination (from Latin divinare "to foresee, to be inspired by a god", related to divinus, divine) is the attempt to gain insight into a question or situation by way of an occultic, standardized process or ritual.
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DNA
Deoxyribonucleic acid (DNA) is a thread-like chain of nucleotides carrying the genetic instructions used in the growth, development, functioning and reproduction of all known living organisms and many viruses.
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Dragon curve
A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems.
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Droste effect
The Droste effect, known in art as mise en abyme, is the effect of a picture recursively appearing within itself, in a place where a similar picture would realistically be expected to appear.
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Emergence
In philosophy, systems theory, science, and art, emergence occurs when "the whole is greater than the sum of the parts," meaning the whole has properties its parts do not have.
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Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
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Fault (geology)
In geology, a fault is a planar fracture or discontinuity in a volume of rock, across which there has been significant displacement as a result of rock-mass movement.
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Feigenbaum function
In the study of dynamical systems the term Feigenbaum function has been used to describe two different functions introduced by the physicist Mitchell Feigenbaum.
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Felix Hausdorff
Felix Hausdorff (November 8, 1868 – January 26, 1942) was a German mathematician who is considered to be one of the founders of modern topology and who contributed significantly to set theory, descriptive set theory, measure theory, function theory, and functional analysis.
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Felix Klein
Christian Felix Klein (25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory.
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Fern
A fern is a member of a group of vascular plants that reproduce via spores and have neither seeds nor flowers.
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Finite subdivision rule
In mathematics, a finite subdivision rule is a recursive way of dividing a polygon or other two-dimensional shape into smaller and smaller pieces.
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Form constant
A form constant is one of several geometric patterns which are recurringly observed during hallucinations and altered states of consciousness.
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Formula
In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula.
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Fractal analysis
Fractal analysis is assessing fractal characteristics of data.
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Fractal antenna
A fractal antenna is an antenna that uses a fractal, self-similar design to maximize the effective length, or increase the perimeter (on inside sections or the outer structure), of material that can receive or transmit electromagnetic radiation within a given total surface area or volume.
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Fractal art
Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still images, animations, and media.
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Fractal compression
Fractal compression is a lossy compression method for digital images, based on fractals.
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Fractal cosmology
In physical cosmology, fractal cosmology is a set of minority cosmological theories which state that the distribution of matter in the Universe, or the structure of the universe itself, is a fractal across a wide range of scales (see also: multifractal system).
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Fractal derivative
In applied mathematics and mathematical analysis, the fractal derivative is a nonstandard type of derivative in which the variable such as t has been scaled according to tα.
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Fractal dimension
In mathematics, more specifically in fractal geometry, a fractal dimension is a ratio providing a statistical index of complexity comparing how detail in a pattern (strictly speaking, a fractal pattern) changes with the scale at which it is measured.
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Fractal dimension on networks
Many real networks have two fundamental properties, scale-free property and small-world property.
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Fractal in soil mechanics
The fractal approach to soil mechanics is a new line of thought.
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Fractal landscape
A fractal landscape is a surface generated using a stochastic algorithm designed to produce fractal behaviour that mimics the appearance of natural terrain.
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Fractal string
An ordinary fractal string \omega is a bounded, open subset of the real number line.
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Fractal-generating software
Fractal-generating software is any type of graphics software that generates images of fractals.
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Fractalgrid
In electric power distribution, a fractalgrid is a system-of-systems architecture of distributed energy resources or DERs.
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Fracton
A fracton is a collective quantized vibration on a substrate with a fractal structure.
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Fracture mechanics
Fracture mechanics is the field of mechanics concerned with the study of the propagation of cracks in materials.
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Frond
A frond is a large, divided leaf.
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Game design
Game design is the art of applying design and aesthetics to create a game for entertainment or for educational, exercise, or experimental purposes.
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Gaston Julia
Gaston Maurice Julia (3 February 1893 – 19 March 1978) was a French mathematician who devised the formula for the Julia set.
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Geography
Geography (from Greek γεωγραφία, geographia, literally "earth description") is a field of science devoted to the study of the lands, the features, the inhabitants, and the phenomena of Earth.
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Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.
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Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.
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Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
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Graphics processing unit
A graphics processing unit (GPU) is a specialized electronic circuit designed to rapidly manipulate and alter memory to accelerate the creation of images in a frame buffer intended for output to a display device.
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Greeble
A greeble or nurnie is a fine detailing added to the surface of a larger object that makes it appear more complex, and therefore more visually interesting.
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Hausdorff dimension
Hausdorff dimension is a measure of roughness in mathematics introduced in 1918 by mathematician Felix Hausdorff, and it serves as a measure of the local size of a space, taking into account the distance between its points.
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Heart sounds
Heart sounds are the noises generated by the beating heart and the resultant flow of blood through it.
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Heinz-Otto Peitgen
Heinz-Otto Peitgen (born April 30, 1945 in Bruch, Nümbrecht near Cologne) is a German mathematician and was President of Jacobs University from January 1, 2013 to December 31, 2013.
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Helge von Koch
Niels Fabian Helge von Koch (25 January 1870 – 11 March 1924) was a Swedish mathematician who gave his name to the famous fractal known as the Koch snowflake, one of the earliest fractal curves to be described.
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Henri Poincaré
Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.
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Hilbert curve
A Hilbert curve (also known as a Hilbert space-filling curve) is a continuous fractal space-filling curve first described by the German mathematician David Hilbert in 1891, as a variant of the space-filling Peano curves discovered by Giuseppe Peano in 1890.
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Histopathology
Histopathology (compound of three Greek words: ἱστός histos "tissue", πάθος pathos "suffering", and -λογία -logia "study of") refers to the microscopic examination of tissue in order to study the manifestations of disease.
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Hokky Situngkir
Hokky Situngkir (born February 7, 1978) is an Indonesian scientist who researches complexity theory at Surya University.
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Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
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Homunculus
A homunculus (Latin for "little person") is a representation of a small human being.
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How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension
"How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension" is a paper by mathematician Benoît Mandelbrot, first published in ''Science'' in 1967.
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In silico
In silico (literally cod Latin for "in silicon", alluding to the mass use of silicon for semiconductor computer chips) is an expression used to mean "performed on computer or via computer simulation." The phrase was coined in 1989 as an allusion to the Latin phrases in vivo, in vitro, and in situ, which are commonly used in biology (see also systems biology) and refer to experiments done in living organisms, outside living organisms, and where they are found in nature, respectively.
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Infinite Jest
Infinite Jest is a 1996 novel by American writer David Foster Wallace.
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Infinite regress
An infinite regress in a series of propositions arises if the truth of proposition P1 requires the support of proposition P2, the truth of proposition P2 requires the support of proposition P3,...
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Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
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Intuition
Intuition is the ability to acquire knowledge without proof, evidence, or conscious reasoning, or without understanding how the knowledge was acquired.
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Ion thruster
An ion thruster or ion drive is a form of electric propulsion used for spacecraft propulsion.
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Iterated function system
In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar.
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Iteration
Iteration is the act of repeating a process, to generate a (possibly unbounded) sequence of outcomes, with the aim of approaching a desired goal, target or result.
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Jackson Pollock
Jackson Pollock (January 28, 1912 – August 11, 1956) was an American painter and a major figure in the abstract expressionist movement.
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Julia set
In the context of complex dynamics, a topic of mathematics, the Julia set and the Fatou set are two complementary sets (Julia 'laces' and Fatou 'dusts') defined from a function.
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Karl Weierstrass
Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".
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Koch snowflake
The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a mathematical curve and one of the earliest fractal curves to have been described.
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L-system
An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar.
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Lacunarity
Lacunarity, from the Latin lacuna meaning "gap" or "lake", is a specialized term in geometry referring to a measure of how patterns, especially fractals, fill space, where patterns having more or larger gaps generally have higher lacunarity.
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Lévy C curve
In mathematics, the Lévy C curve is a self-similar fractal that was first described and whose differentiability properties were analysed by Ernesto Cesàro in 1906 and Georg Faber in 1910, but now bears the name of French mathematician Paul Lévy, who was the first to describe its self-similarity properties, as well as to provide a geometrical construction showing it as a representative curve in the same class as the Koch curve.
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Lévy flight
A Lévy flight, named for French mathematician Paul Lévy, is a random walk in which the step-lengths have a probability distribution that is heavy-tailed.
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Lebesgue covering dimension
In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension of the space in a topologically invariant way.
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Lewis Fry Richardson
Lewis Fry Richardson, FRS (11 October 1881 – 30 September 1953) was an English mathematician, physicist, meteorologist, psychologist and pacifist who pioneered modern mathematical techniques of weather forecasting, and the application of similar techniques to studying the causes of wars and how to prevent them.
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Lichtenberg figure
Lichtenberg figures (German Lichtenberg-Figuren), or "Lichtenberg dust figures", are branching electric discharges that sometimes appear on the surface or in the interior of insulating materials.
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Life
Life is a characteristic that distinguishes physical entities that do have biological processes, such as signaling and self-sustaining processes, from those that do not, either because such functions have ceased, or because they never had such functions and are classified as inanimate.
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Lightning
Lightning is a sudden electrostatic discharge that occurs typically during a thunderstorm.
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Line (geometry)
The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.
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List of fractals by Hausdorff dimension
Benoit Mandelbrot has stated that "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension." Presented here is a list of fractals ordered by increasing Hausdorff dimension, with the purpose of visualizing what it means for a fractal to have a low or a high dimension.
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Lists of shapes
This is an index of lists of geometric shapes and related topics.
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Logistic map
The logistic map is a polynomial mapping (equivalently, recurrence relation) of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non-linear dynamical equations.
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Loren Carpenter
Loren C. Carpenter (born February 7, 1947) is a computer graphics researcher and developer.
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Lyapunov fractal
In mathematics, Lyapunov fractals (also known as Markus–Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population, r, periodically switches between two values A and B. A Lyapunov fractal is constructed by mapping the regions of stability and chaotic behaviour (measured using the Lyapunov exponent \lambda) in the a−b plane for given periodic sequences of a and b. In the images, yellow corresponds to \lambda (stability), and blue corresponds to \lambda > 0 (chaos).
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Macrocosm and microcosm
Macrocosm and microcosm refers to a vision of cosmos where the part (microcosm) reflects the whole (macrocosm) and vice versa.
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Mandelbox
In mathematics, the mandelbox is a fractal with a boxlike shape found by Tom Lowe in 2010.
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Mandelbrot set
The Mandelbrot set is the set of complex numbers c for which the function f_c(z).
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Mandelbulb
The Mandelbulb is a three-dimensional fractal, constructed by Daniel White and Paul Nylander using spherical coordinates in 2009.
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MARPAT
MARPAT (short for Marine pattern) is a multi-scale camouflage pattern in use with the United States Marine Corps, designed in 2001 and introduced between 2002 and 2004 with the Marine Corps Combat Utility Uniform (MCCUU), which replaced the Camouflage Utility Uniform.
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Max Ernst
Max Ernst (2 April 1891 – 1 April 1976) was a German painter, sculptor, graphic artist, and poet.
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Medical imaging
Medical imaging is the technique and process of creating visual representations of the interior of a body for clinical analysis and medical intervention, as well as visual representation of the function of some organs or tissues (physiology).
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Menger sponge
In mathematics, the Menger sponge (also known as the Menger cube, Menger universal curve, Sierpinski cube, or Sierpinski sponge) is a fractal curve.
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Michael Silverblatt
Michael Silverblatt (born August 6, 1952) is an American broadcaster who has been the host of Bookworm, a nationally syndicated radio program focusing on books and literature, since 1989.
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Michaelis–Menten kinetics
Michaelis–Menten saturation curve for an enzyme reaction showing the relation between the substrate concentration and reaction rate. In biochemistry, Michaelis–Menten kinetics is one of the best-known models of enzyme kinetics.
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Mountain
A mountain is a large landform that stretches above the surrounding land in a limited area, usually in the form of a peak.
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Multifractal system
A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics; instead, a continuous spectrum of exponents (the so-called singularity spectrum) is needed.
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Multiplicative calculus
In mathematics, a multiplicative calculus is a system with two multiplicative operators, called a "multiplicative derivative" and a "multiplicative integral", which are inversely related in a manner analogous to the inverse relationship between the derivative and integral in the classical calculus of Newton and Leibniz.
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Neuroscience
Neuroscience (or neurobiology) is the scientific study of the nervous system.
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Newton fractal
The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial p(Z)\in\mathbb or transcendental function.
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Nova (TV series)
Nova (stylized NOVΛ) is an American popular science television series produced by WGBH Boston.
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Ornament (art)
In architecture and decorative art, ornament is a decoration used to embellish parts of a building or object.
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Pathology
Pathology (from the Ancient Greek roots of pathos (πάθος), meaning "experience" or "suffering" and -logia (-λογία), "study of") is a significant field in modern medical diagnosis and medical research, concerned mainly with the causal study of disease, whether caused by pathogens or non-infectious physiological disorder.
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Patterns in nature
Patterns in nature are visible regularities of form found in the natural world.
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Paul Lévy (mathematician)
Paul Pierre Lévy (15 September 1886 – 15 December 1971) was a French mathematician who was active especially in probability theory, introducing fundamental concepts such as local time, stable distributions and characteristic functions.
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PBS
The Public Broadcasting Service (PBS) is an American public broadcaster and television program distributor.
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Peano curve
In geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890.
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Percolation
In physics, chemistry and materials science, percolation (from Latin percōlāre, "to filter" or "trickle through") refers to the movement and filtering of fluids through porous materials.
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Percolation theory
In statistical physics and mathematics, percolation theory describes the behaviour of connected clusters in a random graph.
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Pierre Fatou
Pierre Joseph Louis Fatou (28 February 1878 – 09 August 1929) was a French mathematician and astronomer.
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Polygon
In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
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Power law
In statistics, a power law is a functional relationship between two quantities, where a relative change in one quantity results in a proportional relative change in the other quantity, independent of the initial size of those quantities: one quantity varies as a power of another.
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Predictability
Predictability is the degree to which a correct prediction or forecast of a system's state can be made either qualitatively or quantitatively.
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Procedural generation
In computing, procedural generation is a method of creating data algorithmically as opposed to manually.
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Protein
Proteins are large biomolecules, or macromolecules, consisting of one or more long chains of amino acid residues.
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Pulmonary circulation
The pulmonary circulation is the portion of the circulatory system which carries deoxygenated blood away from the right ventricle of the heart, to the lungs, and returns oxygenated blood to the left atrium and ventricle of the heart.
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Random walk
A random walk is a mathematical object, known as a stochastic or random process, that describes a path that consists of a succession of random steps on some mathematical space such as the integers.
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Rasterisation
Rasterisation (or rasterization) is the task of taking an image described in a vector graphics format (shapes) and converting it into a raster image (pixels or dots) for output on a video display or printer, or for storage in a bitmap file format.
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Reason
Reason is the capacity for consciously making sense of things, establishing and verifying facts, applying logic, and changing or justifying practices, institutions, and beliefs based on new or existing information.
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Recurrence relation
In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.
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Recursion
Recursion occurs when a thing is defined in terms of itself or of its type.
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Rings of Saturn
The rings of Saturn are the most extensive ring system of any planet in the Solar System.
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River
A river is a natural flowing watercourse, usually freshwater, flowing towards an ocean, sea, lake or another river.
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Romanesco broccoli
Romanesco broccoli, also known as Roman cauliflower, Broccolo Romanesco, Romanesque cauliflower or simply Romanesco is an edible flower bud of the species Brassica oleracea.
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Ron Eglash
Ron Eglash (born December 25, 1958 in Chestertown, Maryland) is an American who works in cybernetics, professor of science and technology studies at the Rensselaer Polytechnic Institute, and author widely known for his work in the field of ethnomathematics, which aims to study the diverse relationships between mathematics and culture.
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Scaling (geometry)
In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions.
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Search and rescue
Search and rescue (SAR) is the search for and provision of aid to people who are in distress or imminent danger.
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Seismology
Seismology (from Ancient Greek σεισμός (seismós) meaning "earthquake" and -λογία (-logía) meaning "study of") is the scientific study of earthquakes and the propagation of elastic waves through the Earth or through other planet-like bodies.
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Self-avoiding walk
In mathematics, a self-avoiding walk (SAW) is a sequence of moves on a lattice (a lattice path) that does not visit the same point more than once.
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Self-reference
Self-reference occurs in natural or formal languages when a sentence, idea or formula refers to itself.
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Self-similarity
In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e. the whole has the same shape as one or more of the parts).
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Shape
A shape is the form of an object or its external boundary, outline, or external surface, as opposed to other properties such as color, texture or material composition.
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Shlomo Havlin
Shlomo Havlin (born July 21, 1942) is a Professor in the Department of Physics at Bar-Ilan University, Ramat-Gan, Israel.
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Sierpinski carpet
The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916.
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Sierpinski triangle
The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles.
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SIGGRAPH
SIGGRAPH (Special Interest Group on Computer GRAPHics and Interactive Techniques) is the annual conference on computer graphics (CG) convened by the ACM SIGGRAPH organization.
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Signal
A signal as referred to in communication systems, signal processing, and electrical engineering is a function that "conveys information about the behavior or attributes of some phenomenon".
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Slime mold
Slime mold or slime mould is an informal name given to several kinds of unrelated eukaryotic organisms that can live freely as single cells, but can aggregate together to form multicellular reproductive structures.
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Small-angle X-ray scattering
Small-angle X-ray scattering (SAXS) is a small-angle scattering technique by which nanoscale density differences in a sample can be quantified.
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Soil mechanics
Soil mechanics is a branch of soil physics and applied mechanics that describes the behavior of soils.
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Space-filling curve
In mathematical analysis, a space-filling curve is a curve whose range contains the entire 2-dimensional unit square (or more generally an n-dimensional unit hypercube).
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Stochastic
The word stochastic is an adjective in English that describes something that was randomly determined.
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Strange loop
A strange loop is a cyclic structure that goes through several levels in a hierarchical system.
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Subjective character of experience
The subjective character of experience is a term in psychology and the philosophy of mind denoting that all subjective phenomena are associated with a single point of view ("ego").
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Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
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Systems theory
Systems theory is the interdisciplinary study of systems.
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T-shirt
A T-shirt (or t shirt, or tee) is a style of unisex fabric shirt named after the T shape of its body and sleeves.
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T-square (fractal)
In mathematics, the T-square is a two-dimensional fractal.
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Technical analysis
In finance, technical analysis is an analysis methodology for forecasting the direction of prices through the study of past market data, primarily price and volume.
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TED (conference)
TED Conferences, LLC (Technology, Entertainment, Design) is a media organization that posts talks online for free distribution, under the slogan "ideas worth spreading".
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Texture mapping
Texture mapping is a method for defining high frequency detail, surface texture, or color information on a computer-generated graphic or 3D model.
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The Fractal Geometry of Nature
The Fractal Geometry of Nature is a 1982 book by the Franco-American mathematician Benoît Mandelbrot.
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Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
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Turbulence
In fluid dynamics, turbulence or turbulent flow is any pattern of fluid motion characterized by chaotic changes in pressure and flow velocity.
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Turtle graphics
In computer graphics, turtle graphics are vector graphics using a relative cursor (the "turtle") upon a Cartesian plane.
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Volume
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains.
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Wacław Sierpiński
Wacław Franciszek Sierpiński (14 March 1882 – 21 October 1969) was a Polish mathematician.
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Weierstrass function
In mathematics, the Weierstrass function is an example of a pathological real-valued function on the real line.
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Wiener process
In mathematics, the Wiener process is a continuous-time stochastic process named in honor of Norbert Wiener.
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Wind wave
In fluid dynamics, wind waves, or wind-generated waves, are surface waves that occur on the free surface of bodies of water (like oceans, seas, lakes, rivers, canals, puddles or ponds).
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References
[1] https://en.wikipedia.org/wiki/Fractal
