In mathematics, particularly in differential geometry, an osculating plane is a plane in a Euclidean space or affine space which meets a submanifold at a point in such a way as to have a second order of contact at the point. The word osculate is from the Latin osculatus which is a past participle of osculari, meaning to kiss. An osculating plane is thus a plane which "kisses" a submanifold. The osculating plane in the geometry of Euclidean space curves can be described in terms of the Frenet-Serret formulas as the linear span of the tangent and normal vectors. (Wikipedia).
Condensing mulitple logarithms
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Condensing a logarithmic expression and simplifying the expression
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
A Visual Intro to Curves and the Frenet Frame
Our submission for the Summer of Math Exposition 2 #some2. Topics: An introduction to the Mathematics of differential geometry of plane and space curves, leading up to the Frenet Frame, and Frenet-Serret Formulas and the Fundamental Theorem of Space Curves. Content: 0:00 Introduction, Mot
From playlist Summer of Math Exposition 2 videos
Multivariable Calculus | The Normal and Osculating Planes
We give the example of the normal and osculating planes of a given curve and calculate a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
Condensing a large logarithmic expression to one single logarithm
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Simplifying a logarithmic expression by condensing multiple terms
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation
Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, and Torsion: Focus on how to compute the TNB Frames as simply as possible and use the results to find the Curvature, Osculating circle, osculating plane, normal plane, and radius of curvature. Formulas are also given i
From playlist Calculus 3 (Full Length Videos)
Condensing logarithms with multiple parentheses
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Condensing logarithmic expressions with three logs
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Why there are no perfect maps (and why we eat pizza the way we do)
Have you ever wondered why you've never seen a perfect map? Or why bending the side of your pizza keeps the toppings from falling off? Surprisingly, these two everyday phenomena can be explained by one abstract mathematical theorem: Gauss' amazing Theorema Egregium. This video is a submi
From playlist Summer of Math Exposition 2 videos
Intuition for Curvature | Nathan Dalaklis
Today's video is a bit shorter than others. There is a lot going on, so I wanted to give a bit of intuition for a topic I find interesting; Curvature. In this video, we will go through a few formulas of curvature and compute curvature for a couple of examples, and I'll briefly mention diff
From playlist The First CHALKboard
Differential Geometry | Math History | NJ Wildberger
Differential geometry arises from applying calculus and analytic geometry to curves and surfaces. This video begins with a discussion of planar curves and the work of C. Huygens on involutes and evolutes, and the related notions of curvature and osculating circle. We discuss involutes of t
From playlist MathHistory: A course in the History of Mathematics
Condensing a logarithmic expression with parenthesis
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Condensing a logarithmic expression to one logarithm
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Schwarzian derivatives and Epstein surfaces (Lecture 01) by Ken Bromberg
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
normal and osculating planes (KristaKingMath)
βΊ My Vectors course: https://www.kristakingmath.com/vectors-course In this video we'll learn how to find the equations of the normal and osculating planes of a parametric equation. β β β GET EXTRA HELP β β β If you could use some extra help with your math class, then check out Kristaβs
From playlist Calculus III
Condensing logarithmic expressions
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Condensing logarithmic expressions
π Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded form to a condensed form. Knowledge of the logarithm law
From playlist Condense Logarithms with Brackets
Part II: Vector Calculus, Lec 2 | MIT Calculus Revisited: Multivariable Calculus
Part II: Vector Calculus, Lecture 2: Tangential and Normal Vectors Instructor: Herbert Gross View the complete course: http://ocw.mit.edu/RES18-007F11 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT Calculus Revisited: Multivariable Calculus