Lattice points | Tessellation | Mesh generation
A regular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g. bricks). Its opposite is irregular grid. Grids of this type appear on graph paper and may be used in finite element analysis, finite volume methods, finite difference methods, and in general for discretization of parameter spaces. Since the derivatives of field variables can be conveniently expressed as finite differences, structured grids mainly appear in finite difference methods. Unstructured grids offer more flexibility than structured grids and hence are very useful in finite element and finite volume methods. Each cell in the grid can be addressed by index (i, j) in two dimensions or (i, j, k) in three dimensions, and each vertex has coordinates in 2D or in 3D for some real numbers dx, dy, and dz representing the grid spacing. (Wikipedia).
Gridlines in nonstandard coordinate systems.
Description: We use gridlines to conveniently plot points in the standard coordinate system all the time. But in a coordinate system defined by some other basis, there is a natural analogue of coordinate systems. Learning Objectives: 1) Given a basis, sketch a few gridlines 2) Find a poi
From playlist Older Linear Algebra Videos
Grid Network - Intro to Algorithms
This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.
From playlist Introduction to Algorithms
What Exactly are Grid Lines in Coordinate Systems?
I always put up grid lines when I represent vectors or transformations in Linear Algebra. But what, exactly, are they? Now that we have established what coordinate systems are in the previous videos, I zoom in to study grid lines. This is particularly useful in funkier subspaces, say of R^
From playlist Linear Algebra (Full Course)
There's plenty of buzz about CSS Grid, but from a distance, it can seem intimidating - especially for developers who don't often write CSS. Grid feels daunting for good reason: the Grid layout module added over 30 new properties, values, and units to CSS! While all of those additions are
From playlist Web Design: CSS / SVG
Area of a Regular Polygon: 2 Conceptual Approaches
Links: https://www.geogebra.org/m/aHvgEm9v https://www.geogebra.org/m/wxJFqM9P
From playlist Geometry: Dynamic Interactives!
What does this prove? Some of the most gorgeous visual "shrink" proofs ever invented
Bit of a mystery Mathologer today with the title of the video not giving away much. Anyway it all starts with the quest for equilateral triangles in square grids and by the end of it we find ourselves once more in the realms of irrationality. This video contains some extra gorgeous visual
From playlist Recent videos
The Graph Removal Lemma - Jacob Fox
Jacob Fox Massachusetts Institute of Technology November 8, 2010 Let H be a fixed graph with h vertices. The graph removal lemma states that every graph on n vertices with o(nh) copies of H can be made H-free by removing o(n2) edges. We give a new proof which avoids Szemeredi's regularity
From playlist Mathematics
Using the Difference of Squares Factoring Pattern to Simplify a Mental Math Calculation
Check out the main channel @polymathematic ! Today's suspiciously nice mental math calculation is an example of a factoring pattern called the difference of two squares (or sometimes just the difference of squares). Subscribe: https://bit.ly/polymathematic | Enable ALL push notificatio
From playlist polymathematic #shorts
Determining if a set of points makes a parallelogram or not
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Timothy Gowers: The afterlife of Szemerédi's theorem
Abstract: Szemerédi's theorem asserts that every set of integers of positive upper density contains arbitrarily long arithmetic progressions. This result has been extraordinarily influential, partly because of the tools that Szemerédi introduced in order to prove it, and partly because sub
From playlist Abel Lectures
Ahmed Ratnani: Towards complex and realistic tokamaks geometries in computational plasma physics
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Mathematical Physics
Protein Folding Characterization via Persistent Homology - Marcio Gameiro
Workshop on Topology: Identifying Order in Complex Systems Topic: Protein Folding Characterization via Persistent Homology Speaker: Marcio Gameiro Affiliation: University of Sao Paolo Date: April 7, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Scikit Learn Workshop with Andreas Mueller 3-30-2015
Scikit-learn is a machine learning library in Python, that has become a valuable tool for many data science practitioners. This talk will cover some of the more advanced aspects of scikit-learn, such as building complex machine learning pipelines, model evaluation, parameter search, and o
From playlist talks
Further adventures in stereographic projection
These stereographic projection models are available from my Shapeways shop: https://www.shapeways.com/shops/henryseg?section=Stereographic+Projection The torch/flashlight is a Mini Maglite AAA LED flashlight (http://maglite.com/shop/mini-maglite-led-2-cell-aaa-flashlight.html).
From playlist 3D printing
Andreas Mueller - Machine Learning with Scikit-Learn
PyData Amsterdam 2016 Description Scikit-learn has emerged as one of the most popular open source machine learning toolkits, now widely used in academia and industry. scikit-learn provides easy-to-use interfaces to perform advances analysis and build powerful predictive models. The tutor
From playlist talks
Möbius strip with CSS trigonometric functions
Live demo https://codepen.io/thebabydino/pen/wvybyMo If the work I've been putting out since early 2012 has helped you in any way or you just like it, please consider supporting it to help me continue and stay afloat. You can do so in one of the following ways: * you can be a cool cat 😼🎩
From playlist CSS variables
HUMAN WATT POWER Stationary Bike Grid Tie Inverter Solar Electric Bicycle anti-islanding
Grid tie inverter and human power using a stationary bike and anti-islanding protection explained. FITNESS CLUB BUSINESS IDEA. If a company made a bunch of plug n play bikes to a KW Meter, Users could compete, who produces more power over a week, month, year. Green Gym Solar Fitness Club o
From playlist HOME OF GREENPOWERSCIENCE SOLAR DIY PROJECTS
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane