WT35: Affine geometry and barycentric coordinates


Affine geometry is the geometry of parallel lines. Using parallelism, we show how to construct a ruled line, how to find the midpoint of a segment, and divide a segment into a given ratio. We connect this to Archimedes law of the lever, and then extend to barycentric coordinates with respect to a triangle. This video is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry.


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WT36: Affine geometry and vectors


Using vectors, we define parallelograms, discuss affine combinations, and show how to derive barycentric coordinates without any notion of weights. Thisvideo is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry. This video is part of the WildTrig series, which introduces Rational Trigonometry and applies it to many different aspects of geometry.


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MF31: Parallelograms and affine combinations


We use vectors to introduce parallelograms, the parametric representation of a line, and affine combinations, such as midpoints. This video belongs to Wildberger's MathFoundations series, which sets out a coherent and logical framework for modern mathematics.


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WildLinAlg9: Three dimensional affine geometry


Three dimensional affine geometry is a big step from two dimensional planar geometry. Here we introduce the subject via a 3d coordinate system, showing some ZOME models, explaining how to draw such a coordinate system in the plane, and seeing how points in space are naturally associated to triples of [x,y,z] of numbers. We discuss points, lines and planes in 3D, and point out the important distinction between affine space and a vector space. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry---see his WildTrig YouTube series under user `njwildberger'. There you can also find his series on Algebraic Topology, History of Mathematics and Universal Hyperbolic Geometry.


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WildLinAlg9a: Three dimensional affine geometry


This is the first video of the ninth lecture of this course on Linear Algebra. Here we give a gentle introduction to three dimensional space, starting with the analog of a grid plane built from a packing of parallelopipeds in space. We discuss two different ways of drawing 3D objects in 2D, emphasizing the importance of parallel projection. Some discussion of the nature of space and modern physics, then an introduction of affine space via coordinates. The distinctions between points and vectors is important, and we talk also about lines and planes.


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WildLinAlg9d: Three dimensional affine geometry (cont.)


This is the fourth video of the ninth lecture of this course on Linear Algebra. Here we give a gentle introduction to three dimensional space, starting with the analog of a grid plane built from a packing of parallelopipeds in space. We discuss two different ways of drawing 3D objects in 2D, emphasizing the importance of parallel projection. Some discussion of the nature of space and modern physics, then an introduction of affine space via coordinates. The distinctions between points and vectors is important, and we talk also about lines and planes.


Linear Algebra three dimensional affine geometry space projection parallel perspective coordinates lines planes Wildberger

WildLinAlg9e: Three dimensional affine geometry (last)


This is the fifth and final video of the ninth lecture of this course on Linear Algebra. Here we give a gentle introduction to three dimensional space, starting with the analog of a grid plane built from a packing of parallelopipeds in space. We discuss two different ways of drawing 3D objects in 2D, emphasizing the importance of parallel projection. Some discussion of the nature of space and modern physics, then an introduction of affine space via coordinates. The distinctions between points and vectors is important, and we talk also about lines and planes.


Linear Algebra three dimensional affine geometry space projection parallel perspective coordinates lines planes Wildberger

WildLinAlg9c: Three dimensional affine geometry (cont.)


This is the third video of the ninth lecture of this course on Linear Algebra. Here we give a gentle introduction to three dimensional space, starting with the analog of a grid plane built from a packing of parallelopipeds in space. We discuss two different ways of drawing 3D objects in 2D, emphasizing the importance of parallel projection. Some discussion of the nature of space and modern physics, then an introduction of affine space via coordinates. The distinctions between points and vectors is important, and we talk also about lines and planes.


Linear Algebra three dimensional affine geometry space projection parallel perspective coordinates lines planes Wildberger

Affine Systems


Affine Systems, started by Bobby Impollonia and Michael Sullivan, is a computer vision company that's changing the way online video is viewed and sold. This young entrepreneur interview series is brought to you by Experience, Inc. (www.experience.com)


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WildLinAlg9b: Three dimensional affine geometry (cont.)


This is the second video of the ninth lecture of this course on Linear Algebra. Here we give a gentle introduction to three dimensional space, starting with the analog of a grid plane built from a packing of parallelopipeds in space. We discuss two different ways of drawing 3D objects in 2D, emphasizing the importance of parallel projection. Some discussion of the nature of space and modern physics, then an introduction of affine space via coordinates. The distinctions between points and vectors is important, and we talk also about lines and planes.


Linear Algebra three dimensional affine geometry space projection parallel perspective coordinates lines planes Wildberger

Affine Transform


demonstrations.wolfram.com The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. An affine transform may be characterized by four coefficients (a11 a12 a21 a22 ). Each slider controls two coefficients (a row of the matrix). Contributed by: Bernard Vuilleumier


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Violation of Lorentz Invariance, Nonmetricity, and Metric-affine Gravity


Lecturer: Friedrich Hehl "Yuval Fest"- The 80th Birthday of Yuval Neeman Event, Held at the Tel Aviv University, 18-19.5.2005


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(PP 6.5) Affine property, Constructing Gaussians, and Sphering


Any affine transformation of a (multivariate) Gaussian random variable is (multivariate) Gaussian. How to construct any (multivariate) Gaussian using an affine transformation of standard normals. How to "sphere" a Gaussian, ie transform it into a vector of independent standard normals.


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Affine VS perspective using OPENCV Camera


By Aresh Saharkhiz: Affine VS perspective using OPENCV Camera


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Affine Space music video for American Nightmare


AN upcoming "Indie" band who hails from Dayton, Tn. Their unique and truly individual musical sytle is not only refreshing but also enjoyable to listen to.


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Gesamtliste aller Videos, samt Suchfunktion: www.j3L7h.de


Mathematik

Computer Graphics 2011, Lect. 5(1) - Linear & affine transformations


Recordings from an introductory lecture about computer graphics given by Wolfgang Hürst, Utrecht University, The Netherlands, from April 2011 till June 2011. Lecture 5, part 1: Linear & affine transformations (May 12, 2011) Music: "43 loop demo" (qrat) / CC BY 3.0 soundcloud.com soundcloud.com creativecommons.org


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Mod 3 Lect 5 Adaptive neural control for Affine Systems SISO


Lectures by Prof. Laxmidhar Behera, Department of Electrical Engineering, Indian Institute of Technology, Kanpur. For more details on NPTEL visit nptel.iitm.ac.in


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Intelligent Systems Control MIMO

Affine Epipheo


You're in charge of a serious chunk of your client's media spend. They've entrusted you with their brand, and they're counting on you to reach a specific audience by sponsoring the right content. All you need to do is make sure your media buy lines up with their objectives. But in the free-for-all of online video, that's no small task. Because when you buy print or TV, you get specific metrics and data and targeting info so you and your client both know where those ad dollars go. But unless you're buying online video at one of the major networks, you have no way of knowing if that spend matches up with your objectives, or where it runs. So maybe you try buying from a network. But the problem is, you can only see the publishers you're buying from, not their content. And THAT can get you in some hot water. If you were just spending a little money on a few videos, you'd just take the time to preview what you're sponsoring, but since you're buying at scale, that doesn't make sense. Epipheo Studios shows you how Affine gives you a clear picture of exactly what videos you're buying into so you know your spend lines up with your client's objectives. To learn more, visit www.affine.tv


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Computer Graphics 2011, Lect. 5(2) - Linear & affine transformations


Recordings from an introductory lecture about computer graphics given by Wolfgang Hürst, Utrecht University, The Netherlands, from April 2011 till June 2011. Lecture 5, part 2: Linear & affine transformations (May 12, 2011) Music: "43 loop demo" (qrat) / CC BY 3.0 soundcloud.com soundcloud.com creativecommons.org


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The Clonious - Touch It Remix (live @K4 Nürnberg//Affine Records Night)


Haha, The Clonious playing drums to the final song of his set, Busta Rhymes' "Touch It" in his very own version. oh, and take a look at the great visuals by Elektropastete. Recorded on May 11th at "An Evening With AFFINE RECORDS" feat. JSBL, The Clonious, Dorian Concept at K4 Zentralcafé, Nürnberg by Isa.


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Dorian Concept - Bulldoze Her & jam w/ Cid Rim (live @K4 Nürnberg//Affine Records Night)


Yesss, just found this on my SD card! This was on May 11 2010 at "An Evening With AFFINE RECORDS" feat. JSBL, The Clonious, Dorian Concept at K4 Zentralcafé in Nürnberg. Visuals by Elektropastete.


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Linear versus Affine Extrapolation of a Molecule


Linear Versus Affine Extrapolation of a Protein Molecule Using Normal Mode Analysis


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Xanthoconium affine


Xanthoconium affine


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fern


fern fractal using "Madagascar"


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Allô prof - Équation de la fonction affine


Toutes les vidéoanimations d'Allô prof sont disponibles gratuitement sur le site www.alloprof.qc.ca.


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