Calculus

Reflection formula

In mathematics, a reflection formula or reflection relation for a function f is a relationship between f(a − x) and f(x). It is a special case of a functional equation, and it is very common in the literature to use the term "functional equation" when "reflection formula" is meant. Reflection formulas are useful for numerical computation of special functions. In effect, an approximation that has greater accuracy or only converges on one side of a reflection point (typically in the positive half of the complex plane) can be employed for all arguments. (Wikipedia).

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Physics 51 - Optics: Reflections (1 of 2) Introduction

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce the concepts of light reflections and show you how to find the angle between the inbound and exit ray.

From playlist PHYSICS - OPTICS

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Proof that the Reflection is a Linear Transformation

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that the Reflection is a Linear Transformation

From playlist Proofs

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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

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Ex: Reflect a Point about the x-axis, y-axis, and the Origin

This video provides an example of how to determine the coordinates of a point reflected about the x-axis, y-axis, and the origin. Site: http://mathispower4u.com

From playlist Determining Transformations of Functions

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Light and Optics 1_3 Introduction to Reflection

Reflection from plane and spherical mirrors.

From playlist Physics - Light and Optics

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Light and Optics 1_2 Introduction to Reflection

Reflection form plane and spherical mirrors

From playlist Physics - Light and Optics

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Ch7Pr16: Reflection Matrix

Reflection in the y-axis is a linear transformation. This means a matrix representation exists. This video first proves that reflection in the y-axis is linear, and then finds the matrix representation. This is Chapter 7, Problem 16 from the MATH1231/1241 Algebra notes, presented by Dr Jos

From playlist Mathematics 1B (Algebra)

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Refraction (4 of 5) Calculating the Critical Angle

Shows how to calculate the critical angle for total internal reflection. Total internal reflection is the complete reflection of a ray of light that is traveling within one medium, such as water or glass, from the boundary with a second medium back into the first medium. The phenomenon oc

From playlist Optics: Ray Diagrams, Reflection, Refraction, Thin Lens Equation

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3D Reflections with Vectors and Quaternions

In addition to rotating vectors, there is a way to reflect vectors through planes using quaternions. We'll derive how to do this transformation from the point of view of standard vector analysis and then from the point of view of quaternions. The quaternion formula is actually quite compac

From playlist Quaternions

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Geometric Algebra in 2D - Two Reflections is a Rotation

In this video, we will observe that the composition of two reflections through two vectors is equivalent to a rotation by twice the angle separating those two vectors. It's a neat geometric fact that we'll show in 2D but will help us understand higher-dimensional rotations, especially in t

From playlist Math

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Geometric Algebra in 2D - Vector Projection and Reflection

We will go over a couple applications of the geometric algebra view of R^2 and learn how to project, reject, and reflect vectors. The formula we get for reflection is probably the most interesting and we'll see the form of the formula come up again and again in talk of geometric algebra. I

From playlist Math

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Reflection about y = 2x

Formula of reflection about the line y = 2x In this video, I present a really neat application of change of coordinates: Namely, I calculate the formula of the reflection of a point about the line y = 2x. Can you guess the formula beforehand? You might be surprised! Enjoy Change of coor

From playlist Linear Transformations

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Euler-Mascheroni XII: A Couple Moments of Reflection

Channel social media: Instagram: @whatthehectogon https://www.instagram.com/whatthehect... Twitter: @whatthehectogon https://twitter.com/whatthehectogon Any questions? Leave a comment below or email me at the misspelled whatthehectagon@gmail.com Here I present a proof for the reflect

From playlist Analysis

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Geometric Algebra - 3D Rotations and Rotors

In this video, we employ the fact that two reflections is a rotation to perform rotations in 3D. We also will derive the general rotation formula, show how to compose rotations, and introduce the rotor version of this formula and discover the rotor's sign flip under a 2pi rotation. Refere

From playlist Math

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Dimitry Gurevich - New applications of the Reflection Equation Algebras

The REA are treated to be q-analogs of the enveloping algebras U(gl(N)). In particular, each of them has a representation category similar to that of U(gl(N)). I plan to exhibit new applications of these algebras: 1. q-analog of Schur-Weyl duality 2. q-Capelli formula 3. q-Frobenius formul

From playlist Combinatorics and Arithmetic for Physics: Special Days 2022

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Geometric Optics - A Level Physics

Continuing the A Level Physics revision series with geometric optics. The lens formula. Real and virtual images. Convex and Concave lenses and mirrors.

From playlist A Level Physics Revision

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Light: Reflection || CBSE Class 10 Physics - Board Brahmastra || Don't Memorise

Don’t Memorise brings learning to life through its captivating educational videos. To Know More, visit https://infinitylearn.com/surge/study-materials/ncert-solutions/class-10/science/chapter-10-light-reflection-and-refraction/. ✅ Please Join Our Telegram Channel ►https://t.me/InfinityLea

From playlist Board Brahmastra || CBSE Class 10 Crash Course

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The Law of Reflection

This video tutorial lesson introduces the vocabulary of reflection (incident ray, reflected ray, angle of incidence, and angle of reflection) and describes and illustrates the law of reflection. The application of the law of reflection to the viewing of images in plane mirrors is explained

From playlist Reflection and Mirrors

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Vic Reiner, Lecture III - 13 February 2015 (49)

Vic Reiner (University of Minnesota) - Lecture III http://www.crm.sns.it/course/4036/ Many results in the combinatorics and invariant theory of reflection groups have q-analogues for the finite general linear groups GLn(Fq). These lectures will discuss several examples, and open question

From playlist Vertex algebras, W-algebras, and applications - 2014-2015

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Polygamma function | Complex plane | Numerical analysis | Gamma function | Functional equation | Mathematics | Function (mathematics) | Even and odd functions | Leonhard Euler | Riemann Xi function | Riemann zeta function