Studying integral approximations, currently trying to wrap my head around how averaging two approximations can result in a visualization.
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Studying integral approximations, currently trying to wrap my head around how averaging two approximations can result in a visualization.

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I ❤ pi(e)
Math Time 👍
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#nerdalert yes, that was me jumping out of my skin with joy seeing THE NUMBER DEVIL laid out prominently on a MATH THEMED table @bnstatenisland this afternoon. I know the book is fairly well circulated in classrooms these days, but when I first shared it with my students at Curtis it was basically unheard of and I thought (and still believe) that it was pure magic. Perhaps it’s time for me to do a re-read! #mathlove #mathchicklife #mathmommy https://www.instagram.com/p/CdJvPJnrUbH/?igshid=NGJjMDIxMWI=
Für \(a>0\wedge b>0\) beweisen wir \( a/b+b/a\geq2\):
\(a/b+b/a<2 \Leftarrow\frac{a^2-2ab+b^2}{2ab}<0\Leftarrow\frac{(a-b)^2}{2ab}<0\)
Nun ist aber
\(\neg(\frac{(a-b)^2}{2ab}<0)\Rightarrow\neg(a/b+b/a<2)\Rightarrow a/b+b/a\geq2\)
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Fermat’s Last Theorem is an intriguing problem of number theory, stated without proof by the legendary mathematician Pierre de Fermat in 1637. . It is among the most notable theorems in the history of mathematics and prior to its proof was in the Guinness Book of World Records as the “most difficult mathematical problem” in part because the theorem has the largest number of unsuccessful proofs. . The proof of this theorem was given by Andrew Wiles and was published in the May 1995 edition of the Annals of Mathematics. It was hailed as an epic achievement. Indeed, it was the end of a journey that started 358 years ago. . (Here, x,y,z,n are natural numbers) . . Follow @atomstalk . . . . #fermat #mathstudents #mathstudent #mathlove #mathlovers #mathlover #mathproblems #mathteacher #mathquestion #mathproblem https://www.instagram.com/p/CD5Wf40j0hP/?igshid=gva5ee9p77fu
This is the Spiral of Theodorus . The story of the Pythagoreans discovering, and then attempting to hide, the fact of the irrationality of the square root of 2 is frequently told. Theodorus of Cyrene, a Greek mathematician from the 5th century BC (and possibly a tutor of Plato), is believed to have proven the irrationality of the square roots of the non-square integers up to 17. . He further showed how to construct lines of these lengths via the Spiral of Theodorus. Starting with a 1-1-√2 right angled triangle, the spiral consists of a sequence of right angled triangles, each with one side the hypotenuse of the previous, and a perpendicular second side of length 1. . Pythagoras' theorem tells us that the sequence of hypotenuse lengths is the sequence of square roots of the positive integers. As this activity shows, 17 such triangles are possible before overlapping. . Follow @atomstalk . . . #mathlove #mathstudent #mathstudents #mathematicians #mathclass #mathsteacher #mathlogic #mathisfun #mathematicseducation #mathematician #mathematics #theodorus #mathproblems #mathematical https://www.instagram.com/p/CDtkahcjztl/?igshid=19lqjw609vgqq