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9:04 PM | Switch up your research routine!

If you’ve ever worked out, you know that your body can get comfortable doing a particular exercise and then no longer feel challenged. In order for you to continue to transform your physique and train other muscles, you have to … Continue reading →

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8:31 PM | the exterior angle is greater than either of the non adjacent interior angles geometric proof

newest proof

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updated proposition

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newest proof

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newest proposition

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11:43 PM | Spin Dryer

How does a spin dryer work? Deane explains with a simple model made from buckets and a hand beater.
An example for circular motion.

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9:31 AM | Data Displayer

The Data Displayer provides interactive tools to investigate sets of data.
Explore data questions on sports (baseball home runs), movies (highest paid actors), agriculture or enter custom data.
Analysis and representation tools include mean, median & mode; box-and-whisker plot; scatterplot with line of best fit; standard deviation and mean.
Includes a Teacher's Guide.

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9:09 AM | PhysicsToGo

Designed for use on a tablet. This page includes a working accelerometer (on a tablet) and some interactives for investigating forces.

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4:43 AM | Incorrect Graph - Asthma Breakthrough

A picture graph from a news story that gets the ratio/number of pictures wrong.
The link takes you to an image file. Source, see Alternative Link.

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A pie graph from a news story that gets the size of the sectors wrong.
The link takes you to an image file. Source, see Alternative Link.

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4:24 AM | Catalog of Some Elementary Functions

This Demonstration presents a catalog of some elementary functions that can be used to illustrate how each of the parent functions can be transformed by varying different parameters.

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A Children's Book for Senior School Mathematics Students
From to De Moivre's Theorem, this fun book introduces complex numbers in a way that is intuitive and enjoyable for students.
By Matt Bower

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2:27 AM | Number Puzzle - Odds & Evens

Deane presents a number puzzle which seems impossible - until a simple trick is revealed.

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2:50 AM | Binary Tutorial

The theory behind numbers and how binary numbers work.
A tutorial with interactive examples.

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6:16 AM | Overruled!

Two besotted rulers must embrace proportional units in order to complete a bridge to unite their lands. It takes mathematical reasoning to deduce the problem, and solution, when engineers from Queentopia and Kingopolis try to build a bridge that meets in the middle of the river.
See the Alternative Link for lesson resources.

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6:12 AM | Atlantean Dodgeball

Ratio errors confuse one of the coaches as two teams face off in an epic dodgeball tournament. See how mathematical techniques such as tables, graphs, measurements and equations help to find the missing part of a proportion.
See the Alternative Link for lesson resources.

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6:07 AM | Math Snacks: Scale Ella

The evil Scaleo has escaped from prison and is transforming the length, width, and height of objects until they become useless... or dangerous. Who can put things right? Our super heroine, Scale Ella, uses the power of scale factor to foil the villain.
See the Alternative Link for lesson resources.

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6:01 AM | Ratey the Math Cat

Ratey pops up when you least expect him. And he can't resist pointing out the rates and "purrportions" in daily life. You'll never again overlook how everyday decisions rely on mathematical reasoning about rates.
See the Alternative Link for lesson resources.

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As early as 2018, solar could be economically viable to power big cities. By 2040 over half of all electricity may be generated in the same place it's used. Centralised, coal-fired power is over
An article that might provide stimulus for the General Mathematics Focus Study on Personal Resource Usage.

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newest motivation

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9:39 AM | Complex Numbers are Awesome

"When am I ever going to use this?"
An interesting discussion about the application of Complex Numbers.

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A follow-up to part one on Odd Equations.

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9:19 AM | Odd Equations - Numberphile

If the highest power of a function or polynomial is odd (e.g.: x^3 or x^5 or x^4371) then it definitely has a solution (or root) among the real numbers. Here's a nice proof demonstrated by Prof David Eisenbud from the Mathematical Sciences Research Institute.

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8:48 AM | The birthday paradox at the World Cup

How does the classic birthday paradox hold up at the Brazil World Cup?

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(Links to a 640 KB PDF)
An advanced PDF investigating the design and manufacturing techniques used in World Cup balls throughout history.
Published by the Society for Industrial and Applied Mathematics.

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8:29 AM | Interactive History of World Cup Balls

A timeline investigating the geometry of the balls used throughout history of the football World Cup.

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6:47 AM | How Much Information?

How much information is there in Spanish vs English, you vs the world?
A discussion of information and some real-life examples of storing information.
More of an interest piece for the General Mathematics topic FSCo2 Digital download and file storage.

Editor's Pick

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6:37 AM | The time value of money - German Nande

We've all heard the phrase "Time is money." But what do these two things actually have to do with one another? German Nande explains the math behind interest rates, revealing the equation that will allow you to calculate the future value of your money (if you wisely put it in the bank, that is).

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The Australian Curriculum: Mathematics provides opportunities for students to learn about the understandings and applications of Mathematics by drawing on knowledge of and examples from the Asia region.

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Honeybees are some of nature's finest mathematicians. Not only can they calculate angles and comprehend the roundness of the earth, these smart insects build and live in one of the most mathematically efficient architectural designs around: the beehive. Zack Patterson and Andy Peterson delve into the very smart geometry behind the honeybee's home.
Related to this clip from The Code, Behind the Beehive.

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by @ulaulaman http://t.co/Q3AODpvKAs #Godel #ontologicalproof #god #computer The ontological arguments for the existence of God was introduced for the first time by St. Anselm in 1078: God, by definition, is that for which no greater can be conceived. God exists in the understanding. If God exists in the understanding, we could imagine Him to be greater by existing in reality. Therefore, God must exist.There are a lot of phylosophies, mathematics and logicians that proposed their ontological […]

Christoph Benzmüller & Bruno Woltzenlogel Paleo (2013). Formalization, Mechanization and Automation of Gödel's Proof of God's Existence, arXiv: 1308.4526v4

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\[(n+1)^3 - n^3 \equiv 1 \mod 6\] Claudi Alsina,, Roger Nelsen,, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6 The College Mathematics Journal, 45 (2), 135-135 DOI: 10.4169/college.math.j.45.2.135 (facebook)

Claudi Alsina,, Roger Nelsen, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6, The College Mathematics Journal, 45 (2) 135-135. DOI: 10.4169/college.math.j.45.2.135

Citation

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\[(n+1)^3 - n^3 \equiv 1 \mod 6\] Claudi Alsina,, Roger Nelsen,, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6 The College Mathematics Journal, 45 (2), 135-135 DOI: 10.4169/college.math.j.45.2.135 (facebook)...
Claudi Alsina,, Roger Nelsen,, & Hasan Unal. (2014) Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6. The College Mathematics Journal, 45(2), 135-135.
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Claudi Alsina,, Roger Nelsen, & Hasan Unal (2014). Proof Without Words: The Difference of Consecutive Integer Cubes Is Congruent to 1 Modulo 6, The College Mathematics Journal, 45 (2) 135-135. DOI: 10.4169/college.math.j.45.2.135

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La settimana scorsa, su twitter, ho diffuso alcune immagini, foto scattate dalle pagine dal volume Letture da Le Scienze: Fisica delle particelle (un indice del volume), che raccoglieva alcuni articoli usciti sulla rivista italiana (e quindi anche su Scientific American). Poiché ognuna di quelle immagini fa inevitabilmente parte della storia della fisica, mi sembra sensato proporle raccolte insieme in un unico post molto più semplicemente raggiungibile di tanti piccoli... cinguettii.
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Weisskopf, V. (1968). The Three Spectroscopies, Scientific American, 218 (5) 15-29. DOI: 10.1038/scientificamerican0568-15

Barish, B. (1973). Experiments with Neutrino Beams, Scientific American, 229 (2) 30-38. DOI: 10.1038/scientificamerican0873-30

Treiman, S. (1959). The Weak Interactions, Scientific American, 200 (3) 72-84. DOI: 10.1038/scientificamerican0359-72

Cline D.B., Mann A.K. & Rubbia C. (1974). The Detection of Neutral Weak Currents, Scientific American, 231 (6) 108-119. DOI: 10.1038/scientificamerican1274-108

Glashow, S. (1975). Quarks with Color and Flavor, Scientific American, 233 (4) 38-50. DOI: 10.1038/scientificamerican1075-38

Nambu, Y. (1976). The Confinement of Quarks, Scientific American, 235 (5) 48-61. DOI: 10.1038/scientificamerican1176-48

Johnson, K. (1979). The Bag Model of Quark Confinement, Scientific American, 241 (1) 112-121. DOI: 10.1038/scientificamerican0779-112

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#sand #battery #chemistry #energy This is the holy grail – a low cost, non-toxic, environmentally friendly way to produce high performance lithium ion battery anodesZachary FavorsSchematic of the heat scavenger-assisted Mg reduction process.Herein, porous nano-silicon has been synthesized via a highly scalable heat scavenger-assisted magnesiothermic reduction of beach sand. This environmentally benign, highly abundant, and low cost SiO2 source allows for production of nano-silicon at the
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Favors, Z., Wang, W., Bay, H., Mutlu, Z., Ahmed, K., Liu, C., Ozkan, M. & Ozkan, C. (2014). Scalable Synthesis of Nano-Silicon from Beach Sand for Long Cycle Life Li-ion Batteries, Scientific Reports, 4 DOI: 10.1038/srep05623

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fawnpnguyen tweeted: @fawnpnguyen

2014-07-23 07:35:40

srcav tweeted: @srcav

2014-07-23 07:31:20

rmathematicus tweeted: @rmathematicus

A Venn Pie-agram :) http://t.co/7HCSoAZ6wJ via @monsoon0

2014-07-23 06:50:20

srcav tweeted: @srcav

Phenomenal pice from @johntomsett http://t.co/oZ10tQwkzA

2014-07-23 06:45:52

srcav tweeted: @srcav

Our Meeting with Tristram Hunt July 2014 http://t.co/2G92vJFAbo via @headsroundtable Extremely interesting

2014-07-23 06:38:35

MindAfterMath tweeted: @MindAfterMath

2014-07-23 06:37:59

srcav tweeted: @srcav

RT @RealGeoffBarton: Final apostrophe fun of the year, surely @RachelOrr: http://t.co/2h8PbApwsq #GoAndHaveAHoliday

2014-07-23 06:32:14

rmathematicus tweeted: @rmathematicus

RT @jstew511: Just got a @CartaroORG installation up and running. Now to customize it for mapping historical sites of chemistry.

2014-07-23 06:31:58

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