That way, you'll still be happy with the artwork itself even if your mathematical interests. The logistic equation (sometimes called the Verhulst model or logistic growth curve) is a model of population growth first published by Pierre Verhulst (1845, 1847). Chaos in Differential Equations, Strange Attractors, and Fractals: The Lorenz Equations, Fractals and the Connection to Lyapunov Exponents, Chaos in Fluids. Loved this equation the chaos born from known properties. As infinitely complex objects that are self-similar across all scales, they represent dynamical systems in all their glory. In the present work, we tried to apply chaos theory to assess emotion dysregulation and emotional instability. Chaos theory is a mathematical theory, and it is still in development. The classic example of such a system is a fluid with temperature gradients in space causing heat to flow from hotter regions to colder ones, by the. Sandra teams up with Bennett to combine chaos theory and trends and maybe find some solutions to the weirdness of life. In chaos theory, the difference of the “input value” with which you increase the charge of the function so that the phase shifts is thus circa 4. In this paper, a novel chaotic system is presented based on the simple jerk equation. But there were some areas that just couldn't be explained, like. They are detected and used in a lot of fields for control or forecasting. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of. So why not embrace it? after all, Chaos is the mother of all creation. The concept referred to as the butterfly effect has been embraced by popular culture, where the term is often used to emphasize the outsize significance of minute occurrences, as in the 1990 movie Havana, in which Robert Redford, playing the role of Jack Weil, a gambler with a knack for math, proclaims to his costar, Lena Olin, that “a butterfly can flutter its wings. 8333333,. 1: In the first step, two chaotic sequences, x = { x1, x2. The use of ⋄ means that the stochastic integral of Itô (Skorohod) type is considered. In particular, the Lorenz attractor is a set of chaotic solutions. They want to know if the chaos that Lorenz (definition 2) found in his early toy weather model, which led to the accepted concept that “weather is chaotic” meant that weather (as we experience it in the real world day-to-day, week-to-week and month. Strange Attractors by Chaotic Atmospheres The darkest art known as Chaos Theory is perfectly embodied in the form of its strange attractors: vast looping trajectories of variables that, when plotted,. computational knowledge engine. Spine Tattoo. Geniale Tattoos. So it's kinda like a homotopy of some sort. It looks at certain systems that are very sensitive. e. If you had precise information about every object right now, you could use the laws of physics to predict what would happen in the future. In factorized form, y = ax (1-x) Now let us rewrite this non-linear quadratic equation. In IT (information technology), chaos theory has applications in many areas including networking, big data analytics , fuzzy logic , business intelligence ( BI ),. the. "Chaos" is a tricky thing to define. This is not a library, but rather a collection of standalone scripts!On May 23, 1917, American mathematician, meteorologist, and a pioneer of chaos theory Edward Norton Lorenz was born. Chaos, from the Greek khaos, “abyss, that which gapes wide open, that which is vast and empty”, is a relatively young scientific discipline, which however has old and important roots, dating back (at least) to James Clerk Maxwell in 1860 and Henry Poincaré in 1890. Chaos Theory, at its core, is a mathematical sub-discipline that explores the behaviors of dynamical systems that are highly sensitive to initial conditions. It explains how a small fluctuation in one condition of a nonlinear. Feature image from Pinterest. Very small changes in the starting position of a chaotic system make a big difference after a while. This comes from the. Jul 11, 2017 - This Pin was discovered by JORGE GAGO MARCOS ( GAG. She might start with chapter 21 Trace formulas and/or online course part 2, and work her way back or forth, as needed. quantum mechanics, it is the equations of quantum field theory which replace the role of Heisenberg’s equation, while Schr¨odinger’s equation does not directly have a natural analogue. since the ψ value defines how abrupt the voltage transition is. In factorized form, y = ax (1-x) Now let us rewrite this non-linear quadratic equation in this form: Graphically represented, this equation depicts a concave down parabola: The way we. The theory developed in ChaosBook part II Chaos rules is here to challenge a seasoned theorist. The first real experiment in chaos theory was conducted by a meteorologist, Edward Lorenz. Mathematical Shapes. The main precept behind this theory is the underlying notion of small. See more ideas about chaos tattoo, chaos, symbolic tattoos. Next, several basic properties and concepts of chaotic systems are described, including attractors, bifurcations, interaction and interdependence, state phase and phase space, and fractals. In this paper, a novel combination of deep learning recurrent neural network and Lyapunov time is proposed to forecast the consumption of electricity load, in Greece, in normal/abrupt change value areas. Writing in in the journal CHAOS,. Lorenz equations ([13], 1963) and R¨ossler system ([15], 1976) both with seven terms on the right-hand side do exhibit chaos for certain parameter values. Jules Henri Poincaré (UK: / ˈ p w æ̃ k ɑːr eɪ /, US: / ˌ p w æ̃ k ɑː ˈ r eɪ /; French: [ɑ̃ʁi pwɛ̃kaʁe] ⓘ; 29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. The equation looked like this: X n+1 = rx n (1 - x n) where r equals the driving parameter, the factor that causes the population to change, and x n represents the population of the species. Jeff Goldblum's character (the lovable bachelor in distress) in Jurassic Park brought about public awareness to the general concept of chaos theory. ends with a system of two simultaneous linear . edu. With the equations obtained by the method of PAL2v analysis in Chaos Theory, there arises significant ways of research about the behavior and stability of chaotic systems. All this cool stuff happens due to properties of. Geynman Diagram Physics Tattoo On Arm. The logistic equation usually refers to the differential equation. You could make equations about it, and figure out the answer pretty easily. Principles of physical science - Chaos, Dynamics, Thermodynamics: Many systems can be described in terms of a small number of parameters and behave in a highly predictable manner. states, chaos theory is the qualitative study of unstable aperiodic behavior in deterministic nonlinear dynamical systems. 2. Chaos theory involves learning about processes and dynamic relationships such that small disturbances amplify in the system creating unstable behaviors, while somehow in this chaos the stable patterns emerge. Linear equations, linear functions, linear algebra, linear programming, and linear accelerators are all areas that have been understood and mastered by the human race. But the MIT scientist needed something even simpler if he hoped to get a better look at the tantalizing effects he glimpsed in his simulated weather. Forearms Physics Friendship Tattoos. What you’re about to see is an impressive feat of complexity arise from something that may appear very simple — maybe even mundane. In this movement there is the very essence of chaos. By combining a Sierpinski carpet with a Julia set fractal, you get a design that marries order and chaos. Weather is one of the large-scale examples of chaotic systems; in fact, it was weather-research that revealed what chaos really is; small perturbations in the atmosphere can cause enormous climate changes. Examples of such systems include population growth, turbulent fluids, and the motion of the planet's. It describes the models and implementation ideas. . 1. Chaos theory equation pdf Complex quadratic polynomials A complex quadratic polynomial is a standard quadratic equation where the variable involved can be a complex number. The basic concepts of the mathematical theory of chaos are presented through a brief analysis of some interesting dynamical systems in one-, two- and three-dimensional space. A tattoo of equations and stuff like that just makes it look like you're trying too hard to look smart. Discrete maps usually take the form of iterated functions. Click here to start using LastPass: A video presented on Veritasium used the following equation to describe an example of this type of miraculous mathematical paradox. 1996; 347:1312–1314. A small perturbation in the initial setup of a chaotic system may lead to. vn September 22, 2023. Nonlinear Dynamics and Chaos in Agricultural Systems. Chaos Theory is, in effect, the science of surprises, the. A projection in the x-y plane of this attractor is: Another strange attractor, created recursively, is the Hénon attractor: Chaos and Fractals. [3]May 8, 2021 - Explore Michael Conroy's board "Physics tattoos" on Pinterest. Equations are ordered, elegant mathematical constructs used to describe specific patterns. The so-called butterfly effect has become one of the most popular images of chaos. Finance. (Gregory Bull/AP) There is an iconic scene in “Jurassic Park” where Jeff Goldblum explains chaos theory. To provide an overview of the revolution in scientific thinking caused by the development of chaos theory, and the appreciation of the need for a simple but realistic approach to describing irreversible processes and natural phenomena. ) In pure mathematics, the Schrodinger equation and its variants is one of the basic equations studied in the field of partial differential equations, andChaos Today. By the-elements. Edward Lorenz coined the term after he hypothesized that a distant butterfly’s flapping wings could set off a complex series of events, leading to a tornado somewhere else. Storytellers embraced its principles and worked them into their novels, films and plays. If the heart is not able to pump blood smoothly, then heart diseases are likely to appear. 1 A Brief History of Chaos 1. P. The system of equations (3) is the same as that seen in [16 16. These patterns emerge from a relationship between these systems and related facets of math known as “strange attractors. It is notable for having chaotic solutions for certain parameter values and initial conditions. Chaotic systems are complex systems which belong to the class of deterministic dynamical systems. 32. Three. Answer. The first equation consists of a 2-variable, double-focus subsystem complemented by a linearly coupled third variable. By gboeing. The columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51. In its free form, or including electromagnetic interactions, it describes all spin-1 ⁄ 2 massive particles, called "Dirac particles", such as electrons and quarks for which parity is a symmetry. See moreI decided a cool thing to get would be a bifurcation diagram showing the period doubling route to chaos. Quantum chaos is the field of physics attempting to bridge the theories of quantum mechanics and classical mechanics. May 2018. Chaos analysis examines the irregular attitude of the system and fits it into deterministic equations of motion. , to understand air flow in lungs with respiratory illnesses). We’ve all seen this simple quadratic equation: y = ax-ax². Grall. 00001. Then you run the equation iteratively to obtain values of x 1, x 2, x 3. 1 Theory of Chaos Analysis. is investigated, where w is a space-time white noise or a space white noise. It is notable. of ordinary differential equations in which it is possible to exhibit chaotic behavior. , a continuous-time dynamical system which gives you a function x ( t), t ∈ R, given an initial value x ( 0). (I) Topics to be covered: basic existence and uniqueness theory, systems of equations, stability, differential inequalities, Poincare-Bendixon theory, linearization. Chaos analysis is implemented by plotting different attractors against various time. The sockeye salmon that spawn in British Columbia’s Fraser River offer a prime example. Chaos is a product of uncertainty and unexpectedness and at the same time engine of them. Jul 11, 2017 - This Pin was discovered by JORGE GAGO MARCOS ( GAG. Chaos theory is the study of deterministic difference (differential) equations that display sensitive dependence upon initial conditions (SDIC) in such a way as to generate time paths that look random. The Sciences. Iterating this equation produces regions of distinct values, involving period doubling, as well as regions of chaos. Though chaotic systems had been recognized (but not defined) throughout. The photo is accompanied by a section of prose: “She asked him, ‘Tell me something nice!’. Heller 1 and are part of the large field of quantum chaos. Let’s begin with some most important MCs of Chaos Geometry. Spatiotemporal chaos in the one-dimensional complex Ginzburg-Landau equation. Later, other scientists realized the importance of Lorenz's discovery. Am Heart J. 495 BC) explained patterns in nature like the harmonies of music as arising from number, which he took to be the basic constituent of existence. The butterfly effect is an underlying aspect of chaos. Black Ink Braggs Law Physics Tattoo On Foot. His simple model exhibits the phenomenon known as "sensitive dependence on initial conditions. This system demonstrates chaos theory and how small variations lead to large changes. For example, a butterfly flapping its wings that causes a slight wind that causes a leaf to fall into an electrical device that causes a fire that causes a political. Unfortunately, a method has not yet been conceived of how to construct the equations of motion from the data. Chaos Melody TheoryTM by Elaine Walker Introduction Chaos Theory applies to many things in nature. ganizing principle of nature. Chaotic maps often occur in the study of dynamical systems . EST. Chaos theory led us to realize that simple nonlinear. Edward Lorenz, and has essential implications for climate modelling. Shop. Art Prints. chaos theory: A field of research in math and physics that studies the patterns of dynamic — or chaotic — systems to better understand and predict their behavior. The Lorenz attractor arises in the study of the Lorenz oscillator, a dynamical system. Thanks to LastPass for sponsoring this video. The possibility for self-synchronization of chaotic. Chaos theory was developed by inputs of various mathematicians and scientists; its applications are found in a large number of scientific fields. Only one. S. Causes: a soccer player performs poorly. 494–c. A theory to end theories. In new computer experiments, artificial-intelligence algorithms can tell the future of chaotic systems. . vn compilation. Science Doesn't Care What You Believe In Essential T-Shirt. Chaos Today. In fact Mandelbrot eventually proved that Lorenz's attractor was a fractal, as are most strange attractors. The table shows the equation with three different starting values: 0. This theory is more beneficial when developing dynamic S-Boxes [18. ”. A particularly simple example of this is the polynomial. It deal with systems that are non-linear and unpredictable, and teaches us to expect the unexpected. This comes from the discrete-time dynamical system. Chaos was – most Greek cosmologies tell us – the very first of all, the origin of everything, the empty, unfathomable space at the beginning of time. This equation is denoted as p = m * v, where p represents momentum, m represents mass, and v represents velocity. It is notable for having chaotic solutions for certain parameter values and initial conditions. A very small change may make the system behave completely differently. So if you're gonna get a math tattoo, ideally get something that's aesthetically pleasing* independent of the mathematical significance. Start with a fixed value of the driving parameter, r, and an initial value of x0. Two researchers have created a strikingly simple model of chaotic behavior, in which variations in initial conditions become so tangled and. 2, 889 (1992). 1990; 120:1419–1440. Improve this answer. It was discovered by Feigenbaum in 1975 (Feigenbaum 1979) while studying the fixed points of the iterated function f(x)=1-mu|x|^r, (1) and characterizes the geometric approach of the bifurcation parameter to its limiting value as the parameter mu. A plot of Lorenz's strange attractor for values ρ=28, σ = 10, β = 8/3. While nonlinear difierential equations are a natural place in physics for chaos to occur, the mathematically simpler iteration of nonlin-ear functions provides a quicker entry to chaos theory, which we will pursue flrst in Section 33. Discover (and save!) your own Pins on PinterestJanuary 7, 2020. The birth of the modern age of Chaos is commonly referred to the work. The equation x(n+1)=3. . question is if. This latter formulation was also applied to the cumulative number of deaths D Σ with its. schrodinger equation tattoo Schrödinger Equation Tattoo Wonders of physics Facebook #1 Schrödingers equation Done by Hermann Wong Whatever Nerdy tattoos Physics tattoos Science tattoos #2 Proof Tattoo Schrodingers equation Everything has a function in time and space schrodinger equation time space black. I’ve always been a nerd, long before being a nerd was in. University of Bristol. vn compilation. Bubble Chamber Physics Tattoo On Girl Hand. Heavily explored and recognized during the mid-to-late 1980s, its premise is that systems sometimes reside in chaos, generating energy but without any predictability or direction. Timely and accurate assessment of the functioning of the heart has great relevance for reducing the death rate due to cardiac diseases around the world. Drake Equation Of Physics Tattoo On Forearm. Hand-poked entropy word tattoo design. Strange Attractors by Chaotic Atmospheres The darkest art known as Chaos Theory is perfectly embodied in the form of its strange attractors: vast looping trajectories of variables that, when plotted,. Thus chaos theory is, very generally, the study of forever changing complex systems based on mathematical concepts of. Alexander Polyakov, a theoretical physicist now at Princeton University, caught a glimpse of the future of. Turbulence is seen as the ultimate example of chaos theory: the way a butterfly flaps its wings in Australia could be linked to whether a hurricane forms over the. Chaos Theory. Chaotic Equations. Schaeffer was published online in the journal. Chaos theory is a complex mathematical theory that attempts to explain. The idea of chaos is that one simple seed can. This course of 25 lectures, filmed at Cornell University in Spring 2014, is intended for newcomers to nonlinear dynamics and chaos. Chaos theory is an area of deterministic dynamics proposing that seemingly random events can result from normal equations because of the complexity of the systems involved. This current volume contains 12 new papers on the subject of chaos in the physical sciences, which was initiated with the publication of the book Research Advances in Chaos Theory. A scientific theory cannot be limited to negative statements and one would be disappointed if Lorenz's message only contained this well known fact. Sometimes ecological data just don’t make sense. 1990; 120:1419–1440. Chaos theory is a branch of mathematics that deals with studying non-linear dynamical systems that exhibit sensitivity to initial conditions. 1: Coexistance of laminar and turbulent flow. 2, B = 0. Some elements for a history of the dynamical systems theory. Chaos is involved in thigs from physics and the arrangement of the universe to economics. Snapshot 5: apparent chaos. Xn+1 = rXn(1-Xn) In this logistic model that describes how the change of an animal population, "r" denotes the growth rate, "X n " the percentage of the maximum population at a certain year, and "X n+1 " the. It is essential for human life. Scientists soon encountered other unpredictable natural systems that looked random even though they weren’t: the rings of Saturn, blooms of marine algae, Earth’s magnetic field, the number of salmon in a fishery. The Pythagorean Theorem. starkid. The purpose of many scientific theories is to make sense and order out of a chaotic world. He answered her, ‘ (∂ + m) ps = 0’ This is the equation of Dirac. Geometry. e. Google's nGram viewer finds a spike of the phrase "catastrophe theory" in books starting in the mid 1970s, falling off after 1980 and overtaken ca. shows the template collapsed to the title. WIGGINS: Global Bifurcations and Chaos, Analytical Methods, Applied Mathematical Sciences 73, Springer-Verlag, New York, Heidelberg, Berlin, 1988. Jun 3, 2021 - The field of study of chaos has its roots in differential equations and dynamical systems, the very language that is used to describe how any physical system. Have A Heart. Oct 30, 2021 - This Pin was discovered by Lauren Hesemeyer. In mathematics and physics, chaos theory describes the behavior of certain nonlinear dynamical systems that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect ). In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. Using Python to visualize chaos, fractals, and self-similarity to better understand the limits of knowledge and prediction. I Tattoo. The fern is one of the basic examples of self-similar sets, i. Next, several basic properties and concepts of chaotic systems are described, including attractors, bifurcations, interaction and interdependence, state phase and phase space, and fractals. The course concentrates on simple models of dynamical systems, mathematical theory underlying their behavior, their relevance to natural phenomena,. As a result of this sensitivity, which manifests. Chaos Theory. The chaos game is played as follows. To set this template's initial visibility, the |state= parameter may be used: |state=collapsed: { {Chaos theory|state=collapsed}} to show the template collapsed, i. Lorenzian chaos, "sandwich" chaos, and "horseshoe chaos. e. Firms can be described as non-linear dynamic systems in that they are home to counteracting forces simultaneously at play. "Chaos theory" is the popular term used to describe a novel, quite revolutionary approach to a wide range of mathematical, pure science, and applied science fields. We. It is not about disorder but rather about very complicated systems of order. By Phil Dooley. Other topics from: Hamiltonian systems, periodic and almost periodic systems, integral manifolds, Lyapunov functions, bifurcations, homoclinic points and chaos theory. Jul 12, 2023. Chaos theory is not about randomly looking for similarity patterns. The Lorenz Attractor: A Portrait of Chaos. in around 1930 and it was based on so-called "qualitative theory of differential equations. Today, fractals form part of the visual identity of chaos. To use the equation, you start with a fixed value of r and an initial value of x. Chaos Theory is a delicious contradiction - a science of predicting the. The assumption here is that the unpredictability in a system can be represented as overall behavior, which gives some amount of predictability, even when the system is unstable. If the periodic table is at your fingertips and you remember. Pioneering Australian scientist Robert May, whose work in biology led to the development of chaos theory, has died at age 84. Black Dirac Equation Physics Tattoo On Biceps. The idea came to be known as the “butterfly effect” after Lorenz suggested that the flap of a butterfly’s wings might ultimately cause a tornado. By bethcentral. For specific energy values, the. Baudelaire sanctions the fundamental views expressed in Poe’s The Poetic. The initial conditions for x and z were kept the same but those for y were changed between 1. 1. 2. These complex systems may be weather patterns, ecosystems, water flows,. “It simply. Course Objectives: 1. Chaos Theory: A mathematical concept that explains that it is possible to get random results from normal equations. The term paper can be handed any time before the last day of lectures. edu. 2: Saddlenode bifurcation. Discover (and save!) your own Pins on PinterestApr 27, 2022 - Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations. Snapshot 3: convergence on a 4-cycle. Gleick (1988, p. Abstract. Schuldberg, in Encyclopedia of Creativity (Second Edition), 2011 Introduction. Logistic map (LM) (logistic difference equation) X = r * X * (1 - X) Mathematician Paul Stein called the complexity of this iterated equation "frightening". However, in the scientific realm this unpredictable behavior is not necessarily undesirable. A very small change may make the system behave completely differently. Chaos theory, in mechanics and mathematics, the study of apparently random or unpredictable behavior in systems governed by deterministic laws. The primary question. Chaos theory is the field of study in mathematics that studies the behavior of dynamical systems that are highly sensitive to initial conditions - a response popularly referred to as the butterfly effect. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-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". I decided a cool thing to get would be a bifurcation diagram showing the period doubling route to chaos. Based on the above assumptions, a weakly nonlinear modulation equation for a ( x, t) was derived in Ref. The infinitely intricate computer-generated image of the set serves as an icon for the burgeoning field of chaos theory and has attracted enormous public attention. History. Examples include the swings of a pendulum clock, and the heartbeat while resting. From $19. A side note — map is just another way of saying function. Barnsley's 1988 book. 00001. 4. com FREE DELIVERY and Returns possible on eligible purchases Amazon. One member of the melody set is defined as "the scaled output of an iterated function, provided it. edu. Understanding the interplay of order and disorder in chaos is a central challenge in modern quantitative science. |state=expanded: { {Chaos theory|state=expanded}} to show the template expanded, i. To say that a system is chaotic means that there is a deterministic rule for its future evolution, but that small differences in initial conditions grow exponentially quickly over time. Lorenz's computer model distilled the complex behavior of Earth's atmosphere into 12 equations -- an oversimplification if there ever was one. In fact, it is much easier to list properties that a system described as "chaotic" has rather than to give a precise definition of chaos. Early Greek philosophers attempted to explain order in nature, anticipating modern concepts. Velociraptor Math - Funny Dinosaur Velocity Formula Essential T-Shirt. Chaos:Classical and Quantum Predrag Cvitanovic´ – Roberto Artuso – Ronnie Mainieri – Gregor Tanner –. the impact of seemingly small factors. ( You can use Windows Calculator set to scientific mode) 1. ago. Pantano/E. Differential Equations, Fourth Edition. of chaos theory. We decided to take a deep look into the world of math tattoos and we discovered that the people who have them often wax poetic about an equation, formula,. The equation begins by an arbitrary choice of a starting point. Keywords: Chaos theory, Fractals, Sensitive dependence on initial conditions (SDIC) Introduction The word Chaos comes from the Greek word “Khaos”, meaning “gaping void”. A side note — map is just another way of saying function. Chaos theory, Bush says, is "really simply a statement of lack of precision on the initial conditions of a system. 2001, World Scientific Series on Nonlinear Science Series A. Touch device users, explore by touch. ”. For low values of r , xn (as n goes to infinity) eventually. Then, by way of. See more ideas about chaos tattoo, chaos, symbolic tattoos. A Twisted Path to Equation-Free Prediction | Quanta Magazine Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations. It describes the models and implementation ideas. It is consistent with both the principles of quantum. Rössler attractor as a stereogram with , , The Rössler attractor / ˈrɒslər / is the attractor for the Rössler system, a system of three non-linear ordinary differential equations originally studied by Otto Rössler in the 1970s. The best part of her job is her growing friendship/flirtation with the strangely trend-resistant Bennett O'Reilly, a chaos theory researcher who seems to float through life unaffected by herd instincts of any kind. 1. 18 which, after nondimensionalization with respect to time, is given by. Estimation theory. “Prior to Poincaré, mathematicians studying dynamics, i. 95[x(n)][1-x(n)] is chaotic because it is deterministic, as can be seen by the multiplication of the previous term in the equation. \ [f (z) = z^2 + c\] for some constant \ (c\). Entropy as a word disappearing tattoo design. Bernard Forgues. By dorthymala. from such a simple equation. As can be seen from the graph, even the slightest. g. Black Math Formula Equation Tattoos On Fingers. First, a brief account of the definition and history of the development of chaos theory is presented. m. Each of these scientists contributed to the science of chaos theory. The fundamental tenet of chaos theory is 'prediction is hard, if not impossible'. The equation is used in the following manner.