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Working on my calculus. I work in pen because it doesn't smear, like pencil does.

 

Who makes mistakes, anyway? No need to erase mistakes, if I don't make them.

The equation W=Fxcos(theta) is ok if you have a constant force. But work is really one of those things that requires calculus to understand. If a force varies based on location, that affects how much work was done. So Newton figured out that by finding the area under the curve on a (x,F) graph, you can deal with such non-constant forces. This is called taking the integral of F with respect to x, and it is written mathematically as shown on the bottom left.

 

Getting areas under curves is hard. That's why Newton, Leibniz, (and apparently Archimedes in ancient Greece 1800 years ago, but we lost his book until recently) invented integral calculus to do it. In AP 1, you won't be able to get the area under the parabola shown at bottom center. But you will be able to get the area under the trapezoid shown at bottom right, simply by using geometry (I'd break it into 3 pieces to do it.) If you're given a non constant force, you'll know because there'll be a graph (or they ask you to plot one.) Get the area under the curve and you've got work. If they tell you its a constant force, feel free to use W=Fxcos(theta). Note that this COMES from the area under a horizontal curve.

 

Obviously in a calculus based physics class we could get the area under both curves.

BC Calculus class at Northfield Mount Hermon, September 29, 2011

Notebook with mathematical formulas. Orange pencil on top of the notebook

Gross photo of a bivalved nephrectomy specimen showing: A large staghorn calculus in renal pelvis with extension into renal calyces. The renal cortex is largely atrophic. Extensive fibrosis involves the perirenal adipose tissue. Jian-Hua Qiao, MD, FCAP, Los Angeles, CA, USA.

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Students in Abby Ross' Calculus Class review their work towards the end of spring semester, 2019. Photography by Glenn Minshall.

I taped all of those pieces of paper to my wall to help me study (as you can see behind me) but maybe I just should have been studying instead of taking pictures...

Gran lito vesical en paciente con Hiperplasia Prostática

Math isn't much more pleasant outdoors, but it helps.

First published published by the English Language Book Society in association with the English Universities Press Ltd in 1962

This sixth EBLS edition published in 1970

Contas com pedras, antes dos números existiam as pedras.

 

"Nas diferenças que a natureza estabelece por si mesma, a pedra não é dura nem mole, e junto do magma dos vulcões foi líquida e deixou de o ser. A pedra só é dura e durável em confronto com os seres humanos, que deverão ter visto nela o contrário da fragilidade da carne, que lhes terá dado a ver outras formas de durar que não as orgânicas, mostrando que há outras temporalidades dentro do tempo. (...)"

 

Extrato de Pedra de José Bragança de Miranda

www.arte-coa.pt/index.php?Language=pt&Page=Saberes&am...

  

Aqueduto Mosteiro de Pombeiro | Felgueiras

o input foi: sin(10^-3)/10^-3

que é o limite de sen(h)/h com h tendendo a 0.

 

o wolfram|alpha derivou a parada e fez mais algumas

demonstrações.

 

vale notar que o wolfram|alpha também aceitaria como limites... tente:

lim (sin x)/x as x->0

It's funny because it's true.

 

benforsberg.net/epii.gif

E to the PI times I @ XKCD

 

Found on 23rd Street outside of Legacy Good Samaritan Hospital in NW Portland.

Who invented Calculus as infinitesimal calculus, is a mathematical discipline focused on limits, functions, derivatives, integrals, and infinite series. Ideas leading up to the notions of function, derivative, and integral were developed throughout the 17th century, but the decisive step was made by Isaac Newton and Gottfried Leibniz. Publication of Newton's main treatises took many years, whereas Leibniz published first (Nova methodus, 1684) and the whole subject was subsequently marred by a priority dispute between the two inventors of calculus.

David Heath asking his friend a question in calculus.

New shirt by Chilled Tees added to our site: strihs.com/i-heart-calculus

In the Knersvlakte, north of Vanrhynsdorp

Photo and caption by Krista Mevis.

Matt Schrock teaches his calculus class about related rates.

I seem to have a small plastic figure of Professor Calculus from the Tin Tin books standing on top of my computer. Can't remember how he got there now, but I rather like him.

 

Tenuous link: pointing finger

Sadie and Marc from Calculus the Musical chat with Keith.

Students in Seth Montgomery's AP Calculus class 'crash the boards' on February 7, 2019. Photography by Glenn Minshall.

Roses from my backyard.

Gross photo of a bivalved nephrectomy specimen showing: A large staghorn calculus in renal pelvis with extension into renal calyces. The renal cortex is largely atrophic. Jian-Hua Qiao, MD, FCAP, Los Angeles, CA, USA.

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ARTBARF! - Commission: "Arbegla & Calculus" - Finished!

 

This is the finished image for “Arbegla & Calculus”, a Mastermind and her AssaultBot from the MMO City of Heroes.

 

This was a fun and challenging image to work on, especially since the AssaultBot’s proportions are really quite different to everything I’m accustomed to.

 

With most characters, you normally want them to feel like a unity, a whole body rather than just separate extremities. But robots would be different, so in order to get a more “assembled” feel on the AssaultBot, I made each part separately and then actually assembled it. This way, I hoped to achieve a more artificial sensation with the character.

 

In the end, it was a blast to make, and I hope you all like it, too.

 

You can check out the complete process for this image over at my website: www.theministryofabnormality.com/?p=586

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