Vector calculus | Geometric algebra
In the study of geometric algebras, a k-blade or a simple k-vector is a generalization of the concept of scalars and vectors to include simple bivectors, trivectors, etc. Specifically, a k-blade is a k-vector that can be expressed as the exterior product (informally wedge product) of 1-vectors, and is of grade k. In detail: * A 0-blade is a scalar. * A 1-blade is a vector. Every vector is simple. * A 2-blade is a simple bivector. Sums of 2-blades are also bivectors, but not always simple. A 2-blade may be expressed as the wedge product of two vectors a and b: * A 3-blade is a simple trivector, that is, it may be expressed as the wedge product of three vectors a, b, and c: * In a vector space of dimension n, a blade of grade n − 1 is called a pseudovector or an antivector. * The highest grade element in a space is called a pseudoscalar, and in a space of dimension n is an n-blade. * In a vector space of dimension n, there are k(n − k) + 1 dimensions of freedom in choosing a k-blade, of which one dimension is an overall scaling multiplier. A vector subspace of finite dimension k may be represented by the k-blade formed as a wedge product of all the elements of a basis for that subspace. Indeed, a k-blade is naturally equivalent to a k-subspace endowed with a volume form (an alternating k-multilinear scalar-valued function) normalized to take unit value on the k-blade. (Wikipedia).
To construct a PENTAGON with ruler (straightedge) and compass
Geometrical construction of a pentagon with Euclidean Tools Follow me: http://www.twitter.com/dantecardoso
From playlist Math
Calculus 1 Lecture 5.1: Finding Area Between Two Curves
Calculus 1 Lecture 5.1: Finding Area Between Two Curves
From playlist Calculus 1 (Full Length Videos)
Angle and Segment Bisector Constructions
I give you the steps and demonstrations on how to construct a perpendicular bisector of a segment and an angle bisector with a compass and a straight edge. Find free review test, useful notes and more at http://www.mathplane.com If you'd like to make a donation to support my efforts look f
From playlist Geometry
Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane
Calculus 1 Lecture 5.4: Finding the Length of a Curve on a Plane
From playlist Calculus 1 (Full Length Videos)
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus
11_3_4 Working towards an equation for a tangent plane to a multivariable function
Further discussion on where a tangent plane to a curve exists and how to calculate it.
From playlist Advanced Calculus / Multivariable Calculus
Game Development Tutorials Are LYING To You
Many game development tutorials across YouTube leave out the most important aspect of a production ready asset: optimization. This causes beginner game developers to be blissfully unaware of what they need to know the most, as well as leaving them in the dark as to where to possibly go nex
From playlist Main Series
Animate a Wind Farm with MATLAB (Part 1)
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Model a wind farm consisting of identical wind turbines. For more videos, visit https://bit.ly/41akXvm
From playlist Simulation Graphics and Reporting
Mod-01 Lec-18 Elements of centrifugal compressor
Jet Aircraft Propulsion by Prof. Bhaskar Roy and Prof. A. M. Pradeep, Department of Aerospace Engineering, IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Bombay: Aerospace - Jet Aircraft Propulsion (CosmoLearning Aerospace Engineering)
Mod-01 Lec-15 Cascade analysis; Loss and Blade performance estimation
Jet Aircraft Propulsion by Prof. Bhaskar Roy and Prof. A. M. Pradeep, Department of Aerospace Engineering, IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Bombay: Aerospace - Jet Aircraft Propulsion (CosmoLearning Aerospace Engineering)
Forged in Fire: The Pata WILL KEAL in BRUTAL Final Round (Season 3) | History
Watch all new episodes of Forged in Fire, Wednesdays at 9/8c, and stay up to date on all of your favorite History Channel shows at http://history.com/schedule. In this final round, bladesmiths go all in to recreate the Pata, but will their efforts be enough to take home the title of Forge
From playlist Forged in Fire: Season 3 | History
Forged in Fire: Bonus - Round 2 Deliberation (Season 4, Episode 10) | History
Following the Round 2 weapons tests, the judges deliberate over which of the three competitors will be moving forward in this bonus clip from Season 4, Episode 10, "Sword Breaker Redemption". #ForgedInFire Subscribe for more from Forged in Fire and other great HISTORY shows: http://histv.c
From playlist Forged in Fire: Season 4 | History
Arc Length to Surface of Revolution: Calculus
Link: https://www.geogebra.org/m/JADfh3dZ
From playlist Calculus: Dynamic Interactives!
Forged in Fire: 4 EPIC Blades That WOULDN'T KEAL | History
Watch all new episodes of Forged in Fire, Wednesdays at 9/8c, and stay up to date on all of your favorite History Channel shows at http://history.com/schedule. Unfortunately, these super-sharp blades did not make the cut! Take a look at what happens when epic weapons aren't quite ready to
From playlist Forged in Fire: Official Series Playlist | History
Forged in Fire: TOP 5 DEADLIEST WEAPONS FROM INDIA | History
Watch new episodes of Forged in Fire Wednesdays at 9/8c on The History Channel! Check out Part 2: https://youtu.be/_NjyWnVG9kI These epic weapons are known for being dangerous, lethal, and, most of all, ready to KEAL. Follow along as we countdown the top 5 weapons from India, in this For
From playlist Forged in Fire: Strongest Blades in History
Animate a Wind Farm with MATLAB (Part 2)
Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Model a wind farm consisting of identical wind turbines. For more videos, visit https://bit.ly/41akXvm
From playlist Simulation Graphics and Reporting
John Vassberg | Boomerang Flight Dynamics
Aerodynamic characteristics and flight dynamics of boomerangs are investigated. A basic aerodynamic model, developed in the 1960’s, is expanded upon using Blade Element Theory. The new aerodynamic model is coupled with a gyroscope model for rudimentary analyses. Some significant findings
From playlist Engineering