Functions and mappings | Smooth manifolds | Differential geometry
In mathematics, a diffeology on a set generalizes the concept of smooth charts in a differentiable manifold, declaring what the "smooth parametrizations" in the set are. The concept was first introduced by Jean-Marie Souriau in the 1980s under the name Espace différentiel and later developed by his students and . A related idea was introduced by (陳國才, Chen Guocai) in the 1970s, using convex sets instead of open sets for the domains of the plots. (Wikipedia).
Light and Optics 8_6 The Diffraction Grating
The diffraction grating.
From playlist Physics - Light and Optics
Light and Optics 8_5 The Diffraction Grating
The diffraction grating.
From playlist Physics - Light and Optics
The dispersion of data by means of the standard deviation.
From playlist Medical Statistics
Refraction (1 of 5) What is Refraction? An Explanation
Refraction, A conceptual qualitative explanation. Refraction is the change in direction of a ray of light as it passes from one medium to another. The amount of refraction is determined by the index of refraction of the media and the angle of incidence. For light, refraction follows Snell
From playlist Optics: Ray Diagrams, Reflection, Refraction, Thin Lens Equation
Physics - Optics: Diffraction Grating (4 of 7) Orders of the Diffraction Grating
Visit http://ilectureonline.com for more math and science lectures! In this video I will discuss the orders of the diffraction grating and find its “look-up” angle. Next video in series: http://youtu.be/29NvhEK0g0s
From playlist PHYSICS 61 DIFFRACTION OF LIGHT
Jean-Pierre Magnot - On diffeological gluing and the geometry of CW complexes
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Jean-Pierre Magnot, University of Angers Title: On diffeological gluing and the geometry of CW complexes Abstract: In this short communication, we will review first the natural diffeologies of the n-simplex and of the spac
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Trigonometry 5 The Cosine Relationship
A geometrical explanation of the law of cosines.
From playlist Trigonometry
Statistics 4 Measures of Dispersion.mov
Discussing range, variance, and standard deviation as measures of dispersion.
From playlist Medical Statistics
Physics - Optics: Single Slit Diffraction (6 of 15) What Causes Intensity Diffraction Patterns?
Visit http://ilectureonline.com for more math and science lectures! In this video I will conceptually explain the intensity cause by diffraction patterns. Next video in series: http://youtu.be/OuaPzAN67fw
From playlist PHYSICS 61 DIFFRACTION OF LIGHT
What is the difference between convex and concave
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Jacob Leygonie (6/1/20): Differential calculus on persistence barcodes
Title: Differential calculus on persistence barcodes Abstract: We define notions of differentiability for maps from and to the space of persistence barcodes. Inspired by the theory of diffeological spaces, the proposed framework uses lifts to the space of ordered barcodes, from which deri
From playlist ATMCS/AATRN 2020
What is the difference between convex and concave polygons
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons