In geometry, a cardioid (from Greek καρδιά (kardiá) 'heart') is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius. It can also be defined as an epicycloid having a single cusp. It is also a type of sinusoidal spiral, and an inverse curve of the parabola with the focus as the center of inversion. A cardioid can also be defined as the set of points of reflections of a fixed point on a circle through all tangents to the circle. The name was coined by de Castillon in 1741 but the cardioid had been the subject of study decades beforehand. Named for its heart-like form, it is shaped more like the outline of the cross section of a round apple without the stalk. A cardioid microphone exhibits an acoustic pickup pattern that, when graphed in two dimensions, resembles a cardioid (any 2d plane containing the 3d straight line of the microphone body). In three dimensions, the cardioid is shaped like an apple centred around the microphone which is the "stalk" of the apple. (Wikipedia).
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
Acetaminophen/Paracetamol (Tylenol)
Acetaminophen, more commonly known by brand names such as Tylenol, is not a true NSAID, as it does not have anti-inflammatory properties. However, it is commonly discussed alongside NSAIDs as it has similar antipyretic and analgesic properties. Although its mechanism of action is not well-
From playlist Pharmacology
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Linear algebra for Quantum Mechanics
Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices. In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics or #quantum #physics. ****
From playlist Quantum Physics
Math 060 Linear Algebra 01 090514: Systems of Linear Equations; Matrices
1.1 Introduction: systems of linear equations. "Legal" operations (that result in equivalent systems, i.e., systems with the same solution set). Row echelon form, lead variables, free variables. Definition of a matrix; matrix addition, scalar multiplication, additive inverses.
From playlist Course 4: Linear Algebra
Intermediate Gym Workout with dumbbells - Cardio & Strength
Here are two ways you normally don't see dumbbells used - with step ups and for push ups. Have a go :) This is not an easy exercise!
From playlist Gym
Thanks, in part, to the generous support of the NIHCM, this month we are releasing four special episodes on Opioids. We hope you enjoy them. This week's episode: The History of Opioids - We will give a historical overview of people and opioids. We will look at when people first started us
From playlist Opioids
EEVblog #605 - Fig.8 & Cardioid Microphone Patterns
Doug Ford, former head designer from Rode Microphones continues with Part 2 of the microphone technology series by explaining the construction of noise cancelling Figure 8, cardioid, and hyper cardioid microphones. Also, how the polar patterns and responses relate to the physical construct
From playlist Microphone Technology & Design
Times Tables, Mandelbrot and the Heart of Mathematics
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) The good old times tables lead a very exciting secret life involving the infamous Mandelbrot set, the ub
From playlist Recent videos
Graphing Polar Equations | Lines, Circles, Cardioids, and Limacons | Precalculus
Here is my explanation of how to graph common polar equations such as lines, circles, cardioids, and limacons. I will talk about roses in a future video. Here are my notes: https://drive.google.com/file/d/1_5TyX92Ubd4-4gK-A1aCh9EEC8oC0TJS/view?usp=sharing Comment below with any questions
From playlist Precalculus
Epicycloids and Hypocycloids - A Link Between Curve Stitching and the Mandelbrot Set #SoME2
Epicycloids and Hypocycloids appear everywhere in math; especially the cardioid. These shapes act as a fascinating link between curve stitching, and the Mandelbrot set (as well as the Multibrot sets). Below are links to some programs and resources. I encourage anyone to explore and play
From playlist Summer of Math Exposition 2 videos
How do you sketch a polar curve (cardioid)?
► My Trigonometry course: https://www.kristakingmath.com/trigonometry-course Sketching polar curves takes a lot of practice, but once you get the hang of it, these problems can actually be pretty fun! There are a few tricks to getting these right. The first thing you want to do is set th
From playlist Trigonometry
Coding Challenge #133: Times Tables Cardioid Visualization
Happy Valentine's Day! In this video, I visualize the "mathematical heart" Cardioid using times tables calculations. 💻 Code: https://thecodingtrain.com/CodingChallenges/133-times-tables-cardioid Links discussed in this video: 🔗 Cardioid: https://en.wikipedia.org/wiki/Cardioid 🎥 Times Tab
From playlist Coding Challenges
Parametric Equations of a Cardioid and its Area ❤
GET 15% OFF EVERYTHING! THIS IS LOVELY! https://teespring.com/stores/papaflammy?pr=LESSTHAN3 https://shop.spreadshirt.de/papaflammy Help me create more free content! =) https://www.patreon.com/mathable Happy V-Day! =D Let us derive the equations of motion for a cardioid today! We are goi
From playlist Linear Algebra
Doodling in Math Class: Connecting Dots
Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami. Another way to get a cardioid is to add up circles like this: http://www.khanacademy.org/cs/sum-of-circles/1021299343 Extra points to a certain Andrea whose line-e
From playlist Doodling in Math and more | Math for fun and glory | Khan Academy
Free ebook http://tinyurl.com/EngMathYT How to calculate the arc length of a cardioid. Such ideas are seen in university mathematics.
From playlist A second course in university calculus.
PreCalculus - Polar Coordinates (9 of 35) Graphing Polar Equations: r=2+2sin(theta), The Cardioid
Visit http://ilectureonline.com for more math and science lectures! In this video I will graph polar equation r=2+2sin(theta), the cardioid. Next video in the polar coordinates series can be seen at: http://youtu.be/6JriOnFezsE
From playlist Michel van Biezen: PRECALCULUS 10 - POLAR COORDINATES
7A_2 Linear Algebra Definitions
"linear algebra" "matrix equations" "linear set" "set linear equations" linear algebra matrix equation linear set equations "triangular matrix" "square matrix" "main diagonal" homogenous consistent triangular square "elemetary matrix" elementary row echelon reduced
From playlist Linear Algebra