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Posts

October 29, 2014

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9:43 PM | finite basis theorem
updated theorem
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9:29 PM | dimension of a vector space
newest definition
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8:40 PM | uniqueness lemma of a basis proof by contradiction
newest proof
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8:38 PM | uniqueness lemma of a basis
updated lemma
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5:17 AM | Real evaluation of an improper log integral
The problem posed in M.SE concerns real methods of evaluating $$\int_0^{\infty} dx\frac{\log(x)}{\cosh(x) \sec(x)- \tan(x)} $$ The place I started is the nifty result, proven here, that $$\frac{\sin{x}}{\cosh{t} – \cos{x}} = 2 \sum_{k=1}^{\infty} e^{-k t} \sin{k x} $$ Of course, the integral actually looks like $$\int_0^{\infty} dx \frac{\cos{x}}{\cosh{x} – \sin{x}} \log{x} $$ so we need to […]

October 28, 2014

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8:49 PM | basis
updated definition
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8:22 PM | generating systems
newest definition
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8:12 PM | subspace
updated definition
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7:48 PM | linear span
updated definition

October 27, 2014

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8:59 PM | linearly dependent and linearly independent vectors zero vector
newest definition
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8:52 PM | linear combination
updated definition
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8:38 PM | vector space vector vector addition skalar multiplication
updated definition
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9:42 AM | La máquina de Turing
A principios de 1936, un joven Alan Turing terminó un artículo que sentó en gran parte las bases de lo que sería un ordenador actual. Para resolver el Entscheidungsproblem, uno de los problemas que traían de cabeza a los matemáticos de la época, Turing ideó un sorprendente experimento mental. Había nacido la máquina de Turing. Alan empezó por definir lo que era un número […]

October 26, 2014

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10:28 PM | integers
updated part
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10:21 PM | rational numbers
updated part
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3:06 PM | definition of rational numbers proof
newest proof
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2:02 PM | definition of rational numbers
newest proposition
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4:35 AM | Choose Your Own Statistics
This unique interactive learning resource has been designed to enable students from Years 5 to 8 to gain a better understanding of important human rights issues as they explore the latest statistics from respected Australian institutions.
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3:48 AM | Mile of Pi - Numberphile
A million digits of Pi on one piece of paper (1.05 miles).
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2:56 AM | DJ Decibel
DJ Decibel Stadium F(x) is a multi-level game where doing the maths lets you lift the roof at an epic, stadium-sized dance party. The game explores volume, spatial reasoning, problem solving, pi and the Cartesian plane. (Also available as an iOS and Android apps)
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1:52 AM | Feliz Halloween Matemático
Os dejo una de mis postales topológicas para celebrar el Halloween, espero que os guste. Os propongo que si os vais de matefiesta os disfraceis de algún invariante topológico, objeto matemático, constante o variable, o número primo preferido.  http://araceligimenez.blogspot.com.es/2014/10/happy-maths-halloween.html P.D: Disculpar mi ausencia, estoy algo enferma.

October 23, 2014

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8:25 PM | algebraic structure of integers together with addition and multiplication proof
newest proof
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7:40 PM | the distributivity law for natural numbers%2Fproof by induction
newest proof
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2:01 PM | SACNAS at LACC 2014
My name is Joseph Chavoya. I am a Mexican-American Senior pursuing a degree in Pure Mathematics. As a first-generation under-represented student in Mathematics, I understand the difficulties associated with not only pursuing a degree in the Natural Sciences and Mathematics … Continue reading →

October 22, 2014

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10:13 PM | Tina Cardone Recaps the 2014 Northwestern Math Conference
Tina Cardone typically blogs at Drawing on Math. She attended the Northwestern Math Conference earlier this month and has recapped her first day and second two days there, including sessions on algebra, algebraic thinking, modeling, problem solving, and engagement.
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10:03 AM | Conferencia: Problemas Matemáticos sin resolver... [Tito Eliatron Dixit]
Mi segunda aportaación a la Edición 5.7 Alan Turing es Problemas matemáticos sin resolver que cualquier niño puede entender [Conferencia]
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8:39 AM | Surface Area of Triangular Prisms
I made these worksheets as a more hands-on visual way of finding the surface area of triangular prisms. The first worksheet (01) would be best printed on card. Students to cut out the nets, determine the surface area by counting squares and then form the solid. The second worksheet (02) asks students to determine the surface area by counting squares on a net, then they match (using colour) the faces of the net with the faces of an isometric solid. The third worksheet (03) has a variety of […]

October 21, 2014

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6:41 PM | El contable hindú de David Leavitt
Parece, por el tiempo meteorológico,  que el verano todavía continua y eso me trae a la memoría uno de los libros que leí: El contable hindú de David Leavitt Cuando uno lee el título se espera una biografía o una novela basada en hechos reales, sobre la vida del matemático hindú Srinivasa Ramanujan  y al principio así parece que va a ser. G. H. Hardy comienza la historia y parece razonable que él […]
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10:58 AM | De intuiciones, etiquetas, Shkespeare y Alfredo [Tito Eliatron Dixit]
Mi aportación a la Edición 5.7: Alan Turing es mni recopilación de vídeos de charlas matemáticas del pasado evento Naukas Bilbao 2014 y que he titulado De intuiciones, etiquetas, Shkespeare y Alfredo
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8:56 AM | "Logaritmos y hechicería" participa en el Carnaval
Una entrada para la edición 5.7 Alan Turing del Carnaval: http://elteoremadecuales.com/logaritmos-y-hechiceria/ Salud para todos.    Ó.
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