Combinatorics | Statistical randomness | Euclidean geometry | Spatial analysis
Alignments of random points in a plane can be demonstrated by statistics to be counter-intuitively easy to find when a large number of random points are marked on a bounded flat surface. This has been put forward as a demonstration that ley lines and other similar mysterious alignments believed by some to be phenomena of deep significance might exist solely due to chance alone, as opposed to the supernatural or anthropological explanations put forward by their proponents. The topic has also been studied in the fields of computer vision and astronomy. A number of studies have examined the mathematics of alignment of random points on the plane. In all of these, the width of the line β the allowed displacement of the positions of the points from a perfect straight line β is important. It allows the fact that real-world features are not mathematical points, and that their positions need not line up exactly for them to be considered in alignment. Alfred Watkins, in his classic work on ley lines The Old Straight Track, used the width of a pencil line on a map as the threshold for the tolerance of what might be regarded as an alignment. For example, using a 1 mm pencil line to draw alignments on a 1:50,000 scale Ordnance Survey map, the corresponding width on the ground would be 50 m. (Wikipedia).
Angles involving Parallel Lines
"Recognise vertically opposite, alternate, corresponding and cointerior angles."
From playlist Shape: Angles
What is an example of lines that are a linear pair
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
What are examples of adjacent angles
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
What is an angle and it's parts
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
What are adjacent angles and linear pairs
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
definition and examples of corresponding angles
From playlist Common Core Standards - 8th Grade
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
Label the angle in three different ways
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships
4B. DNA 2: Dynamic Programming, Blast, Multi-alignment, Hidden Markov Models
MIT HST.508 Genomics and Computational Biology, Fall 2002 Instructor: George Church View the complete course: https://ocw.mit.edu/courses/hst-508-genomics-and-computational-biology-fall-2002/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61gaHWysmlYNeGsuUI8y5GV Welcom
From playlist HST.508 Genomics and Computational Biology, Fall 2002
Radioactive data: tracing through training (Paper Explained)
#ai #research #privacy Data is the modern gold. Neural classifiers can improve their performance by training on more data, but given a trained classifier, it's difficult to tell what data it was trained on. This is especially relevant if you have proprietary or personal data and you want
From playlist Papers Explained
Direct Feedback Alignment Scales to Modern Deep Learning Tasks and Architectures (Paper Explained)
Backpropagation is one of the central components of modern deep learning. However, it's not biologically plausible, which limits the applicability of deep learning to understand how the human brain works. Direct Feedback Alignment is a biologically plausible alternative and this paper show
From playlist Papers Explained
Role of Intrinsic Inhomogeneities in Active Systems by Shradha Mishra
PROGRAM STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL ORGANIZERS: Debashish Chowdhury (IIT-Kanpur, India), Ambarish Kunwar (IIT-Bombay, India) and Prabal K Maiti (IISc, India) DATE: 11 October 2022 to 22 October 2022 VENUE: Ramanujan Lecture Hall 'Fluctuation-and-noise' a
From playlist STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL (2022)
Chad Topaz (11/1/17): Topological data analysis of collective motion
Nature abounds with examples of collective motion, including bird flocks, fish schools, and insect swarms. We use topological data analysis to characterize the global dynamics of the agent-based collective motion models of Vicsek et al. (1995) and D'Orsogna et al. (2006). Numerical positio
From playlist AATRN 2017
A Glimpse into the Institut des Hautes Etudes Scientifiques β Part 5/6
A Glimpse into the Institut des Hautes Etudes Scientifiques β Part 5/6 Slava Rychkov, permanent professor at IHES since 2017 (https://www.ihes.fr/en/professeur/slava-rychkov-3/), gives a talk about "Universality in physics". #physics #IHES
From playlist A Glimpse into the Institut des Hautes Etudes Scientifiques
Evgeni Dimitrov (Columbia) -- Towards universality for Gibbsian line ensembles
Gibbsian line ensembles are natural objects that arise in statistical mechanics models of random tilings, directed polymers, random plane partitions and avoiding random walks. In this talk I will discuss a general framework for establishing universal KPZ scaling limits for sequences of Gib
From playlist Columbia Probability Seminar
Hugo DUMINIL-COPIN - Critical phenomena through the lens of the Ising model
https://ams-ems-smf2022.inviteo.fr/
From playlist International Meeting 2022 AMS-EMS-SMF
Critical Phenomena Through the Lens of the Ising Model (Lecture 1) by Hugo Duminil-Copin
INFOSYS-ICTS RAMANUJAN LECTURES CRITICAL PHENOMENA THROUGH THE LENS OF THE ISING MODEL SPEAKER: Hugo Duminil-Copin (Institut des Hautes Γtudes Scientifiques, France & University of Geneva, Switzerland) DATE: 09 January 2023 to 13 January 2023 VENUE: Ramanujan Lecture Hall Lecture 1 D
From playlist Infosys-ICTS Ramanujan Lectures
π Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pairs, etc. Vertical a
From playlist Angle Relationships