Happy e Day. What is e? Pi gets all the attention but really, e is just as cool.
I will tell you why. Write down the letter π and show it to someone. Just about everyone would recognize this at the super awesome irrational number that represents the ratio of the circumference to diameter for a circle. Common Errors in College Math. I have several web pages intended for students; this seems to be the most popular one.
FONTS FINALLY REPAIRED November 2009. Browser adjustments: This web page uses subscripts, superscripts, and unicode symbols. The latter may display incorrectly on your computer if you are using an old browser and/or an old operating system. Note to teachers (and anyone else who is interested): Feel free to link to this page (around 500 people have done so), tell your students about this page, or copy (with appropriate citation) parts or all of this page. You can do those things without writing to me. This web page describes the errors that I have seen most frequently in undergraduate mathematics, the likely causes of those errors, and their remedies. (There is some overlap among these topics, so I recommend reading the whole page.) ... Errors in Communication Some teachers are hostile to questions. A variant of teacher hostility is teacher arrogance. The Mathematics of Reddit Rankings, or, How Upvotes Are Time Travel – Built on Facts.
Ok, so this isn’t really physics as such, but it’s pretty fascinating.
There’s a very large online community called Reddit in which users submit links which interest them. These links come with two little arrows beside them, and the users can vote the link up or down. Here’s a screenshot of how the website looks to me at the time of this writing: As I visit on different days or on different times on the same day, the links and their order changes.
This keeps the site fresh and news-y, at least if you like your news full of cat memes. Nature by numbers. The theory behind this movie. We can find interactive sites on the internet (like this) to draw points, move them, and check how the structure becomes updated in real time.
In fact, if we have a series of random dots scattered in the plane, the best way of finding the correct Voronoi Telesación for this set is using the Delaunay triangulation. And in fact, this is precisely the idea shown on the animation: first the Delaunay Triangulation and then, subsequently, the Voronoi Tessellation. But to draw a correct Delaunay Triangulation is necessary to meet the so-called “Delaunay Condition”.
This means that: a network of triangles could be considered Delaunay Triangulation if all circumcircles of all triangles of the network are “empty”. Notice that actually, given a certain number of points in the plane there is no single way to draw triangles, there are many. You see that in the graph below, extracted from Wikipedia: Podéis verlo en la siguiente gráfica, extraída de la Wikipedia: Tattwa -manifestation. Chapter 5 : Repeating Decimals. Practical Foundations of Mathematics. Encyclopedia: Table of mathematical symbols. Nature, The Golden Ratio and Fibonacci Numbers. Plants can grow new cells in spirals, such as the pattern of seeds in this beautiful sunflower.
The spiral happens naturally because each new cell is formed after a turn. "New cell, then turn, then another cell, then turn, ... " How Far to Turn? So, if you were a plant, how much of a turn would you have in between new cells? Multivariable Calculus. This is a textbook for a course in multivariable calculus.
It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents. If you do not have an Adobe Acrobat Reader, you may down-load a copy, free of charge, from Adobe. Title page and Table of Contents Table of Contents Chapter One - Euclidean Three Space 1.1 Introduction 1.2 Coordinates in Three-Space 1.3 Some Geometry 1.4 Some More Geometry--Level Sets Chapter Two - Vectors--Algebra and Geometry 2.1 Vectors 2.2 Scalar Product 2.3 Vector Product Chapter Three - Vector Functions 3.1 Relations and Functions 3.2 Vector Functions 3.3 Limits and Continuity Chapter Four - Derivatives 4.1 Derivatives 4.2 Geometry of Space Curves--Curvature 4.3 Geometry of Space Curves--Torsion 4.4 Motion Chapter Five - More Dimensions 5.1 The space Rn 5.2 Functions Chapter Six - Linear Functions and Matrices 6.1 Matrices 6.2 Matrix Algebra Chapter Twelve - Integration 12.1 Introduction 12.2 Two Dimensions.
Math Genius Solves 100 Year Old Problem, Then Refuses Million Dollar Prize. The Poincare conjecture was a seemingly unsolvable theorem that was first proposed in 1904. Dealing with a branch of spatial mathematics called topology, the theorem sought to prove that any shape without a hole can be formed into a sphere. Sounds simple enough, right? Tell that to the math world, which, for over a century, struggled to prove the elusive conjecture even possible, inadvertently turning it into one of the community’s Holy Grails. But Russian mathematician Grigory Perelman published two proofs of the theorem back in 2002 and 2003, and according to The Utopianist, it wasn’t until last year that a team of advanced mathematicians at the Clay Mathematical Institute (CMI) finally proved his results valid.
His reward? Mathematics Experiments. Maths for Laughs.