# Interesting

CYMATICS: Science Vs. Music - Nigel Stanford. The mathematics of love | Hannah Fry | TEDxBinghamtonUniversity. Mathematics and sex | Clio Cresswell | TEDxSydney. MATH HUMOUR. This page includes a few mathematically humourous jokes and sayings that any mathematician can appreciate! The jokes contain something essential about mathematics and the mathematical way of thinking. Enjoy! Q: What did zero say to eight? A: Nice belt!! Q: What do you call a mathematician's bird that won't eat? Q: How does one insult a mathematician? Q: Why do you rarely find mathematicians spending time at the beach? Life is complex: it has both real and imaginary components. Q: How do mathematicians induce good behavior in their children?

Theorem: Every positive integer is interesting. Q: What is purple and commutative? Let epsilon be less than zero... In some alley, a function meets up with a differential operator: "Get out of my way - or I'll differentiate you till you're zero! " Top ten excuses for not doing homework: I accidentally divided by zero and my paper burst into flames. Salary Theorem: The less you know, the more you make.

Q: What is the world's longest song? Pick up lines: 1. Music and math: The genius of Beethoven - Natalya St. Clair. Natalya would like to acknowledge the amazing support of her friends Wendy Cho, Carolyn Meldgin, Antoinette Evans, Will McFaul, Aaron Williams, and her fantastic students and colleagues at Countryside School and Math Zoom, especially Chris Antonsen, Kim File, Harold Reiter, Jeffrey Huang, Kashyap Joshi, and Priscilla Wang. Frequency and Music Our abilities to recognize patterns in music using sine waves help to “see” innovative ways of problem-solving. For teachers, a great introduction to teaching frequency theory can be found here ( Students might enjoy discussing the activity found in NCTM Illuminations to explore more with the mathematics of music.

Sound travels through energy in the form of wavelengths, which can be described using the function of the form f(x) = A sin (B x). Frequency theory has many interesting and unique properties, some of which lead to harmonic analysis in upper-level math classes. Fingerprint: Simulated Annealing. FA tries to explain the dependencies among the observed variables in terms of a smaller number of unobserved latent variables, or factors, without loss of information. Statistically, the dependencies between variables are defined by the covariance. It can be used for dimensionality reduction, detecting structure in the relationships between variables, and visualization purposes.

Model The FA graph model, which is a latent variable model, appears in fig. 1. Fig. 1. The probability of this belief network can be expressed as: p(x1,…,xD,z1,…,zM)=p(x1,…,xD|z1,…,zM)p(z1,…,zM) In vector form p(x,z)=p(x|z)p(z) The model assumes thatThe factors are unit normals, i.e. p(zi)=N(0,1) for each i=1,…,m, where m is the number of factors.They are uncorrelated, i.e. P(x)=∫p(x|z)p(z)dz=N(μ,Σ) where Σ=WW⊺. \mathbf{x}=W\mathbf{z}+\mu+\epsilon where \epsilon represents the noise that can't be explained by the factors and it's defined as \mathcal{N}(0,\Psi) Learning W and \Psi Likelihood Dimensionality reduction Example.

Illustrated example of changing variables in double integrals - Math Insight. Properties of an example change of variables function A common change of variables in double integrals involves using the polar coordinate mapping, as illustrated at the beginning of a page of examples. Here we illustrate another change of variables as a further demonstration of how such transformations (x,y) = \cvarf(\cvarfv,\cvarsv) map one region to another. We use the change of variables function \begin{align} (x,y) = \cvarf(\cvarfv,\cvarsv) = (\cvarfv^2-\cvarsv^2, 2\cvarfv\cvarsv). \label{transformation} \end{align} We first illustrate illustrate the properties of this change of variable function with a series of interactive applets. One step of changing variables is determining how the transformation \cvarf maps a region \dlr^* in the \cvarfv\cvarsv-plane onto the xy-plane.

Nonlinear 2D change of variables map. More information about applet. Notice how the boundaries of the \dlr are parabolas. Area transformation of nonlinear 2D change of variables map. More examples. Ennui and Alacrity: January 2011. I've noticed that how cool I feel depends a great deal on how cool the people around me are. So here's a GRAPH of it! Because I adore graphs so.Also, I realize I use 'you' to mean 'I' or 'me'. But I'm not going back and changing them. So, sorry if this doesn't apply to you, but I think you can deal with it. (both quantities measured in Coolombs, of course) a) You kind of feel like their GOD you am so relatively cool. P.S. B) There comes a point where the uncoolness of your surroundings stops being a novelty and your company just starts to seem incredibly, mind-numbingly dull.

You want to jump up and scream just to dilute the very concentrated solution of liquid boredom, but all you can do is sit there and drown in your own personal hell of doldrums. c) This is the Goldilocks state--not too awesome, not too boring. D) Have you ever gotten the chance to come in close proximity to someone you really respect? - Be amazed and fangirlishly speechless. 2. So, pick a moral of the story:a. Comics | Evan's Space | Page 2. A common misconception by students is to associate sound waves produced by a sound system with radio waves.

Signal is transmitted in the air via radio waves from the radio stations in the form of transverse waves. When sound which you hear that is produced from the speaker is sound waves which are longitudinal waves. Scalar quantity is a quantity with magnitude. Vector quantity is a quantity with both magnitude and direction. Clifford Algebra: A visual introduction | slehar. William Kingdon Clifford Clifford Algebra, a.k.a. Geometric Algebra, is a most extraordinary synergistic confluence of a diverse range of specialized mathematical fields, each with its own methods and formalisms, all of which find a single unified formalism under Clifford Algebra. It is a unifying language for mathematics, and a revealing language for physics. Unlike the standard vector analysis whose primitives are scalars and vectors for representing points and lines, Clifford Algebra has additional spatial primitives for representing plane and volume segments in two and three dimensions, and it can be extended to any number of higher dimensions by the same basic scheme, and they do, with remarkably useful properties.

Adding one extra dimension to a total of 4 produces a projective geometry, a concept not exclusive to Clifford Algebra, but very simply expressed in it, with some remarkable invariance properties. Geometry is more primal and explicit than algebra. Why So Obscure? Closure a). A Definitions, derivations and tricks. Paleomagnetism is famous for its use of a large number of incomprehensible acronyms.

Here we have them gathered together along with definitions and the Section numbers where they are explained in more detail. You will find here a table of physical constants and paleomagnetic parameters used in the text as well as a table listing common statistics used in paleomagnetism. After the tables, there are a few sections with useful mathematical tricks. A.1 Definitions A.2 Derivations A.2.1 Langevin function for a paramagnetic substance Here we derive the Langevin function for a paramagnetic substance with magnetic moments Mmm in an applied field H at temperature T.

Where Em is the magnetic energy. By definition, n(α) integrates to N, the total number of moments, or The total saturation moment of a given population of N individual magnetic moments m is Nm. By substituting a = mμoH∕kT and cosα = x, we write and finally A.2.2 Superparamagnetism The total magnetization contributed by the N moments is: or. 11.Illum.

(1) Polygon silhouette - edge still polygonal (2) Perspective distortion - interpolation in screen space, rather than object space (3) Orientation dependence (4) Problems at shared vertices (5) Unrepresentative vertex normals. LED cube rotate plane. Page Not Found - Error 404. Math = Love: Point-Slope Form Foldable. Computer Graphics SoftwareUntitled. (Exploration Programs In Calculus) James Burgmeier and Larry Kost University of Vermont Go to the EPIC Order Form EPIC was designed to be useful in several ways. For instructors, EPIC provides an environment to explore concepts and examples for presentation in the classroom. Even if EPIC is not used directly during class, it still provides an excellent opportunity for instructors to easily and accurately prepare examples for class. EPIC provides easy to follow classroom demonstrations.

Features 1. Items (a), (b), (c), (d) and (g) are shown in the sample "EPIC Function Input screen" shown below. 2. 2D Graphs. The "EPIC screen" below shows the graphs of the two functions defined on the "EPIC screen" shown above. Notice that the graphs of discontinuous functions are drawn discontinuously - a feature frequently missing with many graphing software packages! The menu at the right of the graphs gives some idea of the options available.

X = 2.795904, F(x) = .2752889 3. 3D Graphs. The Calculus of History. The paper I’d assign to a calculus class if everyone shared my slightly skewed sense of intellectual fun and my excessive fondness for mathematical metaphors Forget the history of calculus. Write me a paper on the calculus of history. You won’t be the first. In War and Peace, Tolstoy compared civilization to a vast integral. History as an integral. Or imagine history as an infinite series.

Or perhaps the sum is finite, and the human story will end abruptly. Another approach would take history as a solution to a vast set of partial differential equations. But is this solution unique? In other words, was our timeline inevitable, or could some other arrangement have satisfied the forces of history? Or tell me about limits. The history of calculus? I want you to make something new. Like this: Like Loading...