Sacred geometry | Piecewise-circular curves
The vesica piscis is a type of lens, a mathematical shape formed by the intersection of two disks with the same radius, intersecting in such a way that the center of each disk lies on the perimeter of the other. In Latin, "vesica piscis" literally means "bladder of a fish", reflecting the shape's resemblance to the conjoined dual air bladders ("swim bladder") found in most fish. In Italian, the shape's name is mandorla ("almond"). This figure appears in the first proposition of Euclid's Elements, where it forms the first step in constructing an equilateral triangle using a compass and straightedge. The triangle has as its vertices the two disk centers and one of the two sharp corners of the vesica piscis. (Wikipedia).
Pi Day 3/14/2017 - Venn Piagram
I can't stop thinking about Venn diagrams. So, as it's Pi Day, this happened. How did it come to this? Well, see http://vihart.com/pi-day-2017-venn-piagrams/ Pi playlist: https://www.youtube.com/playlist?list=PL5F03A9D6D278C5D9 This is my 7th annual Pi Day video!
From playlist Pi and Anti-Pi
Something Fishy about the Vesica Piscis: Area of a Cat's Pupil - Geometry Kit Series - Episode 2
Charis doesn't fare better than Adam with the Geometry Kit. Adam finds other options. Colourful depictions of Euclid's First Proposition. Stuff about fish and religion. It all makes sense. Honest. More about Euclid's first proposition: https://mathcs.clarku.edu/~djoyce/elements/bookI/prop
From playlist The Geometry Kit Series
Vector form of multivariable quadratic approximation
This is the more general form of a quadratic approximation for a scalar-valued multivariable function. It is analogous to a quadratic Taylor polynomial in the single-variable world.
From playlist Multivariable calculus
Ludovic Cesbron: A fractional Fick Law method for diffusion limits of kinetic equations
The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: In this talk I will present a new method to study the fractional diffusion limits of kinetic equations, recently developed in collaboration with C. Bardos and C. Schmeiser. The basic idea of this
From playlist HIM Lectures: Junior Trimester Program "Kinetic Theory"
Today, we define the factorial of a matrix using the pi function and power series.
From playlist Linear Algebra
More important than knowing a bunch of digits in the decimal approximation of Pi is to understand what Pi means. Pi is the ratio of the Circumference to the Diameter of any circle. Multiply the diameter by Pi to get the circumference or divide the circumference by pi to get the diameter.
From playlist Lessons of Interest on Assorted Topics
Differential Equations: First Order Linear Equations
How to use the integrating factor to solve F.O.L.Es.!
From playlist Basics: Differential Equations
Virology in a nutshell, quasispecies and experimental virus evolution by Santiago F Elena
The Third Bangalore School on Population Genetics and Evolution DATE:05 March 2018 to 17 March 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore. No living organism escapes evolutionary change. Evolutionary biology thus connects all biological disciplines. To understand the processes dri
From playlist Third Bangalore School on Population Genetics and Evolution
Pi is defined as the ratio of the circumference of a circle to its diameter. A frisbee is used to show the definition of pi. The units for pi, radians, are discussed. The conversion factor between revolutions, degrees, and radians is introduced. Want Lecture Notes? http://www.flippingphysi
From playlist IB Physics 6.1: Circular Motion
The Secret Life of Scientists and Engineers | Neil deGrasse Tyson's Secret Life
Watch Neil's collection of short videos. Read his blog. Find out how his secret life fuels his science, and vice versa. pbs.org/nova/secretlife
From playlist Space + Flight
How to solve differentiable equations with logarithms
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
Artillery Shells - Our Objectivity I OUT OF THE TRENCHES
After a small hiatus it's time for another episode of OUT OF THE TRENCHES where Indy answers your questions. This time Indy explains two of the main types of artillery shells: Explosive and Shrapnel Ammunition. Also what was the role of Papua New Guinea in WW1 and why does he like Smurfs?
From playlist All Videos from THE GREAT WAR - chronological order
The mother fish: by Nature Video
Evidence of reproduction by internal fertilization has been discovered in a large group of ancient jawed fish. Embryos discovered within fossils of these animals confirm that live birth in prehistoric times was much more widespread than previously thought. Watch the researchers talk about
From playlist Nature papers
Matt Graham's Bushcraft Challenge and Rocky Instincts Introduction
This is an introduction to Rocky Instincts and with an overview of some of the skills we teach here in Australia. This is also our entry to Matt Graham's Bushcraft Challenge - Atlatl Build. Hope you enjoy!
From playlist Matt Graham's Bushcraft Challenge
Newton's Principia Manuscript - Objectivity 100
One of the greatest treasures in science - Isaac Newton's "Principia" - was nearly thwarted by a book about fish. Royal Society head librarian Keith Moore and explains to Brady Haran. Subscribe to Objectivity: http://bit.ly/Objectivity_Sub Films by James Hennessy and Brady Haran Royal S
From playlist Books and Journals on Objectivity
Multivariable Calculus | The projection of a vector.
We define the projection of a vector in a certain direction. As an application we decompose a vector into the sum of a parallel and orthogonal component. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
The Hessian matrix | Multivariable calculus | Khan Academy
The Hessian matrix is a way of organizing all the second partial derivative information of a multivariable function.
From playlist Multivariable calculus
What's So Natural About e? #SoME2
Join us on a journey where we explore a visual approach towards e, uncovering the intuition behind some of its common definitions and features. This Wikipedia page has rigorous proofs of the facts presented in the video: https://en.wikipedia.org/wiki/Characterizations_of_the_exponential_f
From playlist Summer of Math Exposition 2 videos
Multivariable Calculus | Definition of line integral with respect to arclength.
We derive the formula for the line integral of a function with respect to arclength. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus | Line Integrals