Multi-dimensional geometry | Statistical charts and diagrams

Parallel coordinates

Parallel coordinates are a common way of visualizing and analyzing high-dimensional datasets. To show a set of points in an n-dimensional space, a backdrop is drawn consisting of n parallel lines, typically vertical and equally spaced. A point in n-dimensional space is represented as a polyline with vertices on the parallel axes; the position of the vertex on the i-th axis corresponds to the i-th coordinate of the point. This visualization is closely related to time series visualization, except that it is applied to data where the axes do not correspond to points in time, and therefore do not have a natural order. Therefore, different axis arrangements may be of interest. (Wikipedia).

Parallel coordinates
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Geometry - Identifying Corresponding Angles from a Figure

πŸ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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What are parallel lines and a transversal

πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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Determining Two Angles are Consecutive Interior Angles from a Figure

πŸ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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What is an example of lines that are a linear pair

πŸ‘‰ Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a

From playlist Angle Relationships

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What are adjacent angles

πŸ‘‰ Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a

From playlist Angle Relationships

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Using Parallel Lines to Find the Measure of Angles

πŸ‘‰ Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or tw

From playlist Parallel Lines cut by a Transversal Solve for x

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Geometry - Identifying Consecutive Interior Angles from a Figure

πŸ‘‰ Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Proving Parallel Lines with Angle Relationships

πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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Einstein's General Theory of Relativity | Lecture 6

Lecture 6 of Leonard Susskind's Modern Physics concentrating on General Relativity. Recorded October 27, 2008 at Stanford University. This Stanford Continuing Studies course is the fourth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern phys

From playlist Lecture Collection | Modern Physics: Einstein's Theory

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What is a Tensor? Lesson 17: The covariant derivative (elementary pedagogy)

What is a Tensor? Lesson 17: The covariant derivative (elementary pedagogy)

From playlist What is a Tensor?

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What is General Relativity? Lesson 9: Parallelism and the Covariant Derivative

What is General Relativity? Lesson 9: Parallelism and the Covariant Derivative This lesson is a review of the concept of the connection and the covariant derivative.

From playlist What is General Relativity?

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What is General Relativity? Lesson 40: Round Trip Riemann Tensor

What is General Relativity? Lesson 40: Round Trip Riemann Tensor The curvature tensor is presented as a construction in differential geometry. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discussing the material on the forums: https://www.

From playlist What is General Relativity?

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Eureka Math Grade 5 Module 6 Lesson 14

EngageNY/Eureka Math Grade 5 Module 6 Lesson 14 For more videos, please visit http://bit.ly/eurekapusd PLEASE leave a message if a video has a technical difficulty (audio separating from the video). Occasionally, Explain Everything will do that, requiring me to re-render the video. Duane

From playlist Eureka Math Grade 5 Module 6

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What is General Relativity? Lesson 18: The Geodesic Equation Part 1

Lesson 18: The Geodesic Equation Part 1 We derive the geodesic equation from a mathematical point of view beginning with a manifold, a curve, a connection, and a parameterization of the curve. Check out the forums at http://xylyxylyx.freeforums.net/ and the Patreon page at https://www.

From playlist What is General Relativity?

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Parallel Repetition for the GHZ Game: A Simpler Proof - Uma Girish

Computer Science/Discrete Mathematics Seminar I Topic: Parallel Repetition for the GHZ Game: A Simpler Proof Speaker: Uma Girish Affiliation: Princeton University Date: November 1, 2021 We give a new proof of the fact that the parallel repetition of the (3-player) GHZ game reduces the v

From playlist Mathematics

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Plotting points in three dimensions (KristaKingMath)

β–Ί My Vectors course: https://www.kristakingmath.com/vectors-course Learn how to plot points in three dimensional coordinate space (R^3). ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com ●

From playlist Calculus III

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What are the Angle Relationships for Parallel Lines and a Transversal

πŸ‘‰ Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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Worldwide Calculus: Rn as a Vector Space

Lecture on 'Rn as a Vector Space' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Spaces and Functions

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Polynomial Bounds on Parallel Repetition For All 3-Player Games with Binary Inputs - Kunal Mittal

Computer Science/Discrete Mathematics Seminar I Topic: Polynomial Bounds on Parallel Repetition For All 3-Player Games with Binary Inputs Speaker: Kunal Mittal Affiliation: Princeton University Date: May 09, 2022 Understanding the behavior of multi-player (multi-prover) games under paral

From playlist Mathematics

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What are reference angles

πŸ‘‰ Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a

From playlist Angle Relationships

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