Numerical Types in Mathematica & Wolfram Language

Mathematica Essentials - the first PRO COURSE from Socratica

Learn along with free Mathematica notebooks available on github:

Mathematica and the Wolfram Language have built in support for the 4 main types of numbers: integers, rational numbers, real numbers, and complex numbers. You do not need to import any external libraries, or worry about size limitations. Everything just works. In this lesson, we will introduce the numerical types, show you some useful keyboard shortcuts, determine how far you can push your computer, and more.

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MATHEMATICA ESSENTIALS by Socratica
Numerical Types
You can jump to sections in the video here:
0:00 What are the 4 numerical types in Mathematica
0:52 Integers
1:48 Rational Numbers
2:44 Real Numbers
3:42 Complex Numbers
4:47 Numerical Size Limits

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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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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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PLAYLISTS

Theme: Cody Martin Arcadia OKKBZUP7GPH92B15
Cody Martin The Grid 0KFW6TJ3YEF0ORUL
#Mathematica #Wolfram #WolframLanguage

[Socratica]

Mathematica Essentials - the first PRO COURSE from Socratica

[Insightfill]

This is awesome. I used to teach and support Mathematica at a high school in ~1992 and it was SO FUN to just explore problems with it.

My favorite: given a metal washer which has been curved into an arc over a cylinder, and knowing the height and width of the washer (as, perhaps, if it's resting on a table), calculate the radius of the original cylinder.

[Insightfill]

Well, now I have to get Mathematica again! I miss this program!

[jagadishgospat]

Wow i needed help with mathematica rn, thanks guys.

[murphygreen]

Looking forward to this series! Thank you.

[carlosalexandreFAT]

The association of the main numbers in the field of mathematics with each other, reflects numerical sequences that correspond to the dimensions of the Earth, the Moon, and the Sun in the unit of measurement in meters, which is: 1' (second) / 299792458 m/s (speed of light in a vacuum).

Ramanujan number: 1, 729
Earth's equatorial radius: 6, 378 km.
Golden number: 1.61803...
• (1, 729 x 6, 378 x (10^-3)) ^1.61803 x (10^-3) = 3, 474.18
Moon's diameter: 3, 474 km.

Ramanujan number: 1, 729
Speed of light: 299, 792, 458 m/s
Earth's Equatorial Diameter: 12, 756 km. Earth's Equatorial Radius: 6, 378 km.
• (1, 729 x 299, 792, 458) / 12, 756 / 6, 378) = 6, 371
Earth's average radius: 6, 371 km.

The Cubit
The cubit = Pi - phi^2 = 0.5236
Lunar distance: 384, 400 km.
(0.5236 x (10^6) - 384, 400) x 10 = 1, 392, 000
Sun´s diameter: 1, 392, 000 km.

Higgs Boson: 125.35 (GeV)
Phi: 1.61803...
(125.35 x (10^-1) - 1.61803) x (10^3) = 10, 916.97
Circumference of the Moon: 10, 916 km.

Golden number: 1.618
Golden Angle: 137.5
Earth's equatorial radius: 6, 378
Universal Gravitation G = 6.67 x 10^-11 N.m^2/kg^2.
(((1.618 ^137.5) / 6, 378) / 6.67) x (10^-20) = 12, 756.62
Earth’s equatorial diameter: 12, 756 km.

The Euler Number is approximately: 2.71828...
Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2. Golden number: 1.618ɸ
(2.71828 ^ 6.67) x 1.618 x 10 = 12, 756.23
Earth’s equatorial diameter: 12, 756 km.

Planck’s constant: 6.63 × 10-34 m2 kg.
Circumference of the Moon: 10, 916.
Gold equation: 1, 618 ɸ
(((6.63 ^ (10, 916 x 10^-4 )) x 1.618 x (10^3)= 12, 756.82
Earth’s equatorial diameter: 12, 756 km.

Planck's temperature: 1.41679 x 10^32 Kelvin.
Newton’s law of gravitation: G = 6.67 x 10^-11 N.m^2/kg^2.
Speed of Sound: 340.29 m/s
(1.41679 ^ 6.67) x 340.29 - 1 = 3, 474.81
Moon's diameter:: 3, 474 km.

Cosmic microwave background radiation
2.725 kelvins, 160.4 GHz,
Pi: 3.14
Earth's polar radius: 6, 357 km.
((2, 725 x 160.4) / 3.14 x (10^4) - (6, 357 x 10^-3) = 1, 392, 000
The diameter of the Sun: 1, 392, 000 km.

Numbers 3, 6 & 9 - Nikola Tesla

One Parsec = 206265 AU = 3.26 light-years = 3.086 × 10^13 km.
The Numbers: 3, 6 and 9

((3^6) x 9) - (3.086 x (10^3)) -1 = 3, 474
The Moon's diameter: 3, 474 km.

Now we will use the diameter of the Moon.
Moon's diameter: 3, 474 km.
(3.474 + 369 + 1) x (10^2) = 384, 400
The term L.D (Lunar Distance) refers to the average distance between the Earth and the Moon, which is 384, 400 km.

Moon's diameter: 3, 474 km.
((3+6+9) x 3 x 6 x 9) - 9 - 3 + 3, 474 = 6, 378
Earth's equatorial radius: 6, 378 km.


Orion: The Connection between Heaven and Earth eBook Kindle

[victoriaav]

Excellent!!! #education #acience.#developer #programming

[subramanianvk]

Please post, a series of videos on mathematics.

[beachboardfan]

Whats the etymology of integer? Why not just say whole number? Nothing about 'integer' sounds like it means whole of something...

[lien]

python do have complex numbers built in, only "j" is used instead of "i" try this "5+4j" or "complex(5, 4)" (without quote)
also there is a complex version of the math module "cmath" (nothing to do with C/C++)

[ankitkherimasania]

When I am confused, I come to view your lecture

[miguelchagas.-.]

Volta com o Socratica Português por favor

[RGAstrofotografia]

Nice! But the rational number and the real number are really the same, only written in a different format.

[JuanPabloCarbajal]

close source sfotware? really... being there some many good stuff, e.g: Sympy, Julia

[theultimatereductionist]

I used and loved Mathematica, but I had it only when I was a graduate student. When I returned to school, later, I had Maple for 2 years. But those student licenses expired. They got me Mathematica and Maple for $129 or something less, each.
So, for my own independent research, I have tried to learn Python on my own. Just incredibly hard writing one's own code.
For example, I have never learned TeX/LaTeX and I will absolutely positively never waste my precious time here on earth trying to learn that absolute worthless garbage ever again. I tried 12 times since 1988. Literally insane to make up random incomprehensible code to typeset when one can easily instantly click and drag symbols with Mathtype into an MS Word document.