Dimension is Multi-Dimensional - From Zero to Geo 1.10 скачать в хорошем качестве

Dimension is Multi-Dimensional - From Zero to Geo 1.10

In this video, we explore the concept of the dimension of a linear space. In doing so, we realize that this concept does not always match with our intuitive, geometric understanding of what dimension is, showing that dimension really is a multi-dimensional concept. This video is a part of "From Zero to Geo", a series where we formulate geometric algebra, an incredibly powerful branch of mathematics, from the ground up. Full playlist here:    • From Zero to Geo   Next video here:    • You can add scalars and vectors!  From Zer...   Here's the video on the linear space of lines I mentioned partway through:    • Two-Dimensional Lines Are Three-Dimensiona...   Discord:   / discord   Patreon:   / sudgylacmoe   Patreon Supporters: Christoph Kovacs David Johnston Jason Killian p11 Richard Penner Rosario trb Sections: 00:00 Introduction 00:25 Dimension Pattern 01:08 Dimension Exercise 04:34 Definition of Dimension 05:20 4D Space 05:53 Why care about higher dimensions? 06:42 Higher-Dimensional Visualization 07:42 Algebraic Dimension Exercise 08:18 Dimension of Numbers 09:09 Dimension of Lists of Numbers 10:28 Dimension of 2D Lines 11:06 Dimension of Functions 12:27 Dimension is Multi-Dimensional 14:19 Conclusion