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shonk · 1 year

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#mathart #monochrome #geometric #math #design #complex analysis #black and white #elliptic function #grid #Mathematica

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jadagul · 9 months

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Working out how to do that polar video nicely helped me figure out how to do something I'd been working on for a while a couple years ago and never got where I wanted with: visualizations of elliptic curves as complex surfaces.

I went to see if I've talked about elliptic curves before, and I actually talked about this exact issue here. But now I've leveled up in Mathematica so I can do the visuals better.

Oversimplified, an elliptic curve is an equation that looks like y^2 = x^3+ax+b for some integers a and b. And they have lots of interesting number theoretic properties if you look for solutions that are rational numbers, none of which I want to talk about right now.

If you graph these equations over the real numbers you get pictures like one of these two (left: y^2=x^3+7x+1; right: y^2=x^3-7x+1):

And we like to imagine points at infinity in each direction, so the picture on the left looks like one giant circle (going through infinity at the top/bottom), and the picture on the right looks like two disconnected circles. And the difference is basically whether we get one or three solutions to the cubic when we set y equal to zero.

But over the complex numbers they should all look the same. The problem is, graphs of complex functions are four-dimensional and that's hard to display. But in that four-dimensional space, we should get a torus: a circle moved through a circular path (which still includes the point at infinity).

But we can make three-dimensional graphs, and then we can let them vary over time. So here is an animation of y^2=x^3+7x+1, with time controlling the imaginary coordinate of the output:

And here is y^2=x^3-7x+1:

You can see the moment in the middle where they "snap" into the real-plane-only version.

But now that I have these movies looking good, I want to go back and figure out better ways to slice them; here we're not getting "just" the "real solutions" plane ever, which I think makes them a little harder to interpret.

#math #number theory #arithmetic geometry #elliptic curves #mathematica

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nothoward · 4 months

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Because.

- Newton's Fourth Law

#Mathematica #Principia #Naturalis #Philosophiæ #Isaac #Newton #Motion #Physics #humour #humor #Gravity #Parenting #Logic #Reason #Science #Because #psychology #Child #Childhood #Communication

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lisamarie-vee · 5 months

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#eames office #mathematica #boston museum of science #1980s

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transmanray · 9 months

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calculator for suicidal people

#will and testament #wolfram #mathematica #wolfram mathematica

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mathart · 1 year

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Vertex normals in a Mathematica Manipulate[]

This is not obvious or easy in Mathematica, because Import[... , "OBJ"] does not preserve Winged-Edge mesh topology. So, you have to go through considerable effort to associate doubly-connected mesh edges back to polygons to compute the equivalent normal vector to the surface located at the vertices.

#Wolfram #Language #Mathematica #Manipulate[]#user interface #3D #Computer #Graphics #Winged-Edge #Polygon #surface #mesh #topology

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allisongreenlee · 11 months

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Ancient Civilizations: Euclid and the Legacy of Ancient Alexandrian Mathematics

The knowledge contained in Elements remained unmatched for centuries...

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#Alexandria #Ancient alexansria #Euclid #Land surveying #Mathematica #Ptolemy #science #Taxation

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dark-white1 · 1 year

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Hello friends. I uploaded my first application to the Google Play store. Can you download it to help me even if it is an amateur game.

#math #kidsmath #kid #kids #kids games #kidsgame #mathematica #matematik #learn #learn maths

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tekaihau · 2 years

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E and I have escaped to the museum of science today for avoiding heatstroke reasons and it turns out the Mathematica exhibit is still one of the most stylish things I’ve ever seen

#an EVB appreciation post #museum of science #mathematica

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bar-apps · 2 months

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Matlab o Mathematica

¡Descubre las diferencias entre Matlab y Mathematica de Wolfram en el ámbito técnico y científico! En esta página, explorarás las distintas aplicaciones de estas potentes herramientas en áreas como matemáticas, procesamiento de señales e imágenes

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albeo · 2 months

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Matlab o Mathematica

¡Descubre las diferencias entre Matlab y Mathematica de Wolfram en el ámbito técnico y científico! En esta página, explorarás las distintas aplicaciones de estas potentes herramientas en áreas como matemáticas, procesamiento de señales e imágenes

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usaq22 · 2 months

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LargeLanguageModelProgramming

(1) While Learning the "WolfRamAlpha" Programming Language, The iMPORTANCE of Customization Occurred to Me.

(2) The Following iS an E-Mail That Will Be Sent to All Major Programming Facilities, with Changes Expected by the Year 2100.

(3)

iN Copying Your Documentation, iT Has Occurred to Me that "Language Customization" iS the Best Teacher for New Learners.

Mathematica Has a Good Base, However, i Suggest You Allow the "Text Formatting" of GOOGLE DOCS & MiCROSOFT WORD (To Start), as an Aid to Those Switching from Different Platforms (FORMAT > GOOGLE DOCS or MiCROSOFT WORD or EXCEL or ...).

Add a "Code" Tab to NoteBooks: (File, Edit, Format, iNSERT, CODE, Evaluation, View, Help | Share, Publish)

(3.1) File, Edit, Format, iNSERT, "CODE" > (Command iNDEX, KeyBoard ShortCuts, User's iNDEX), Evaluation, View, Help ...

(3.2) Command iNDEX = All of Wolfram Alpha's (or Other Programming Languages) "Functions", Sortable by (Alphabetical, Categories[Math, Chemistry, Electrical, Plumbing, ...], Most Used[AllTime, Current User, iN a Specific Category], Changed By User [Words that Have Been Replaced with Syntax and Capitalization the User Has Chosen {Show Conflicts when Users Change Commands, for Proper Resolution}], Newly Added...

(3.3) KeyBoard ShortCuts = All Default KeyBoard ShortCuts (Sorted Similarly to [3.2]), Allowing Users to Customize the KeyBoard ShortCuts {Show Conflicts for Resolution}.

(3.5) Users iNDEX = A List of the WolframAlpha Command's That Have Been Changed by the User {Sorted Similarly to [3.2]}.

When Users Write the Code Using Their "Custom Commands", All Custom Commands Will Be Converted to "Default WolframAlpha Commands" When "Exported", So Code Documentation and Readability Will Translate Across Users and Platforms.

What iS the Need for [1 -> 4]?

(5.1) We Are Already Programmed to Read English, or Other Native Language.

(5.2) iF "Natural Language" iS Not Enough, Customization of "Default Commands" Should Be Standard (Not Just on WolfRam, but iN Every Language).

(5.3) iF i'M Used to Typing "deletealloutput" i Should be Able to Customize the Command "Delete All Output", So i Can Type "deletealloutput" to Perform the Same Action.

New Learners Can Enjoy CopyWriteLearning While Maximizing Their Time Use by Using iNPUT'S They Will Remember (iF They Forget, the "Command iNDEX" Will Show them What iNPUTS they Have Replaced, and Can Reset 1 or All Commands iN the "Users iNDEX"[3.5]).

(6.1) Additionally, The LargeLanguageDataModelsThat Can Be Harvested by Analyzing "What Commands Were Replaced with What" Will Reveal Universal Programming on an EarthWide Scale.

#Programming #WolfRamAlpha #Mathematica #LargeLanguageModels #Open Ai #Artificial iNTELLiGENCE #Customization #KeyBoard ShortCuts #C++#Visual Studio Code #Assembly #0 #1

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painfuldischarge · 5 months

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Plotting some roots.

#math #mathematica #art

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peeterjoot · 8 months

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Updated figures in 'Geometric Algebra for Electrical Engineers'

New version of the book is now published (online PDF and leanpub versions updated, with amazon updates in the approval pipeline) V0.1.19-2 (Sep 2, 2023) Reworked many of the Mathematica generated figures. Now using the MaTeX[] extension to do the figure labelling (that was only done in a couple figures before this), as it looks much better, and is consistent with the fonts in the text. Each of…

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#figure #label #MaTeX #Mathematica

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pl-tournament · 1 year

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Match 1A[1]

Now from the company that brought us ChatGPT back in 2009... except it actually gave correct answers, and microsoft. again. they've got their grubby little paws on everything don't they?

Mathematica

Too cool for LaTeX? Too much of a nerd for Excel? Wow do I have just the thing for you. Now you can do all your calculations inside a notebook and pretend Jupyter doesn't exist like a real mathematician!

Visual Basic for Applications

"Hey boss we're not gonna make this deadline in time" "Shit, let's just ship the half-baked prototyping language we use with office so that people can write missing functionality for us" "Ok, and we take it out once we actually finish off those features?" "Yeah sure" - Some Microsoft engineer talking to their manager probably, circa 1993

#tumblr polls #plorbo #tournament #computer science #tech #programming #mathematica #vba

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