Lists in Mathematica & Wolfram Language

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Mathematica Essentials - the first PRO COURSE from Socratica

Learn along with free Mathematica notebooks available on github:

Lists in the Wolfram Language are a fundamental structure. They represent an ordered sequence of expressions. And since everything in Mathematica is an expression, a List is an ordered sequence of pretty much anything! For example, Lists are used to represent vectors, matrices, and tensors. They are also the standard structure for passing collections of data to functions. To become truly fluent in Mathematica, you will need to master Lists.

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MATHEMATICA ESSENTIALS by Socratica
Lists

0:00 Introduction
1:12 Lists as Arguments
2:51 Extracting Part of Lists
4:55 Common List Operations
6:46 Vectors
7:25 Matrices
8:07 Lists as Expressions
8:57 Importance of Lists
9:26 Mathematica Essentials

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We recommend the following (affiliate links):
The Wolfram Language

The Mythical Man Month - Essays on Software Engineering & Project Management

Innumeracy: Mathematical Illiteracy and Its Consequences

Mindset by Carol Dweck

How to Be a Great Student (our first book!)

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If you find our work at Socratica valuable, please consider becoming our Patron on Patreon!

If you would prefer to make a one-time donation, you can also use
Socratica Paypal

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Written & Produced by Michael Harrison & Kimberly Hatch Harrison
Edited by Megi Shuke

About our Instructors:

Michael earned his BS in Math from Caltech, and did his graduate work in Math at UC Berkeley and University of Washington, specializing in Number Theory. A self-taught programmer, Michael taught both Math and Computer Programming at the college level. He applied this knowledge as a financial analyst (quant) and as a programmer at Google.

Kimberly earned her BS in Biology and another BS in English at Caltech. She did her graduate work in Molecular Biology at Princeton, specializing in Immunology and Neurobiology. Kimberly spent 16+ years as a research scientist and a dozen years as a biology and chemistry instructor.

Michael and Kimberly Harrison co-founded Socratica.
Their mission? To create the education of the future.

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Mathematica Essentials - the first PRO COURSE from Socratica

Socratica
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This is really informative....no argument there.

kirbymarchbarcena
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Great video. Would like more in depth description about "anonymous functions"

murphygreen
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Great video! Thank you for the effort you put into it!

kienappel
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Excellent info. Hope more of these follow!

fizixx
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is there any idea on making videos on julia programming language !?

harikrishnanb
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I have always found Wolfram's lack of a function analogous to np.empty in numpy of malloc in C extremely irritating, as I often want to assign a buffer list for later reference.
I usually just end up assigning a constant array of zeroes out of laziness to do this.
(my use cases are a bit niche and so I understand why its not included in a convenient way)
I still really like Mathematica though for its speed and convenience, I just find it hard to scale up routines into full programs and so am often left with the difficult question of when to abandon mathematica and move to a more standard programming language.

nicholasbohlsen
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you didn't even touch the array function 😑.

bryanseare