Lacunarity, from the Latin lacuna, meaning "gap" or "lake", is a specialized term in geometry referring to a measure of how patterns, especially fractals, fill space, where patterns having more or larger gaps generally have higher lacunarity. Beyond being an intuitive measure of gappiness, lacunarity can quantify additional features of patterns such as "rotational invariance" and more generally, heterogeneity. This is illustrated in Figure 1 showing three fractal patterns. When rotated 90°, the first two fairly homogeneous patterns do not appear to change, but the third more heterogeneous figure does change and has correspondingly higher lacunarity. The earliest reference to the term in geometry is usually attributed to Benoit Mandelbrot, who, in 1983 or perhaps as early as 1977, introduced it as, in essence, an adjunct to fractal analysis. Lacunarity analysis is now used to characterize patterns in a wide variety of fields and has application in multifractal analysis in particular (see ). (Wikipedia).
From playlist Belong: What It's Like to Live in the Hyphen
Ischemic stroke | Circulatory System and Disease | NCLEX-RN | Khan Academy
Visit us (http://www.khanacademy.org/science/healthcare-and-medicine) for health and medicine content or (http://www.khanacademy.org/test-prep/mcat) for MCAT related content. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to
From playlist Circulatory system diseases | NCLEX-RN | Khan Academy
An general explanation of the underactive thyroid.
From playlist For Patients
How the stroke stopwatch was shattered
Greg Albers, MD Coyote Foundation Professor Jeremy Heit, MD, PhD Clinical Assistant Professor of Radiology Would you know if you’re having a stroke? Every two seconds, someone on the planet has one. And when it happens, every second counts. No two people know this better than Drs. Albers
From playlist Health Matters 2018
How to turn a few Numbers into Worlds (Fractal Perlin Noise)
Creating even a modest world for a video game is a huge undertaking. However, games like Minecraft, Factorio, Terraria, Valheim and many more serve up fresh worlds with the click of a button. How do they do this? In this video, you’ll learn the inner workings of one of the foundational pil
From playlist Summer of Math Exposition 2 videos
Am I still lactose tolerant? - Lactose Gene Therapy Update
A little over 2 years ago, my life changed when I took a home brewed gene therapy to attempt to get rid of my lactose intolerance. within days of taking the therapy I went from being violently ill if I ingested even the slightest hint of lactose, to being able to eat a quart of ice cream w
From playlist Biology and Genetics
Malabika Pramanik: Lacunarity, Kakeya type sets and directional maximal operators
The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 15.7.2014
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Title: Density of Rational Points on Transcendental Varieties
From playlist Differential Algebra and Related Topics VII (2016)
1984 & Language | Philosophy Tube
Nineteen Eighty-Four is a famous dystopian novel by George Orwell, and it’s a very useful teaching tool for learning about language and justice. What moral issues come up when we talk about words, knowledge, and who has access to them? Subscribe! http://tinyurl.com/pr99a46 Patreon: http:
From playlist KNOWLEDGE, LOGIC, & RELIGION
Bastiaan takes MDA in the forest | Drugslab
This week Bastiaan Rosman tries MDA (3,4-Methylenedioxyamphetamine), a chemical substance with hallucinogenic effects. Walking through the forest everything looks prettier than normal. CURIOUS ABOUT A DRUG / SETTING? Let us know which drug you want us to try and in what kind of setting,
From playlist Drug Tests
Transport of sperm via erection and ejaculation | NCLEX-RN | Khan Academy
Created by Vishal Punwani. Watch the next lesson: https://www.khanacademy.org/test-prep/nclex-rn/rn-reproductive-system-physiology/rn-reproductive-system/v/spermatogenesis?utm_source=YT&utm_medium=Desc&utm_campaign=Nclex-rn Missed the previous lesson? https://www.khanacademy.org/test-pre
From playlist Human anatomy and physiology | Health & Medicine | Khan Academy
Physics - Thermodynamics: (1 of 8) Boiling Point Of Water
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain evaporation and boiling point of water.
From playlist PHYSICS 25 THERMODYNAMICS AND WATER
If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.
From playlist The Internet
Irrigation Efficiencies - Part 1
From playlist TEMP 1
Introduction to Irrigation Water Management
From playlist TEMP 1
Martine Queffélec: Non-normal sets
The talk will have two main parts: At the beginning of his mathematical career, Christian inherits from his advisor, Gérard Rauzy, some appetite for distributions of arithmetical sequences, with a special interest for those obtained by simple algorithmic constructions. I will discuss his r
From playlist Women at CIRM
Robert Tichy: Metric Discrepancy Theory
CIRM HYBRID EVENT Recorded during the meeting " Diophantine Problems, Determinism and Randomness" the February 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathem
From playlist Analysis and its Applications
Bacteria in digestion | Physiology | Biology | FuseSchool
CREDITS Animation & Design: Joshua Thomas jtmotion101@gmail.com Narration: Dale Bennett Script: Bethan Parry Digestion is a complex process that our bodies carry out using a variety of chemicals. In this video we’re going to focus on the role of bacteria in digestion. Many differe
From playlist BIOLOGY: Physiology