In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. The largest generic interval is one less than the number of scale members. (Johnson 2003, p. 26) A specific interval is the clockwise distance between pitch classes on the chromatic circle (interval class), in other words the number of half steps between notes. The largest specific interval is one less than the number of "chromatic" pitches. In twelve tone equal temperament the largest specific interval is 11. (Johnson 2003, p. 26) In the diatonic collection the generic interval is one less than the corresponding diatonic interval: * Adjacent intervals, seconds, are 1 * Thirds = 2 * Fourths = 3 * Fifths = 4 * Sixths = 5 * Sevenths = 6 The largest generic interval in the diatonic scale being 7 − 1 = 6. (Wikipedia).
Statistics 5_1 Confidence Intervals
In this lecture explain the meaning of a confidence interval and look at the equation to calculate it.
From playlist Medical Statistics
This is an old video. See StatsMrR.com for access to hundreds of 1-3 minute, well-produced videos for learning Statistics. In this older video: Understanding and constructing a confidence interval for one mean when the population standard deviation is known
From playlist Older Statistics Videos and Other Math Videos
Interval of Convergence (silent)
Finding the interval of convergence for power series
From playlist 242 spring 2012 exam 3
More Standard Deviation and Variance
Further explanations and examples of standard deviation and variance
From playlist Unit 1: Descriptive Statistics
Closed Intervals, Open Intervals, Half Open, Half Closed
00:00 Intro to intervals 00:09 What is a closed interval? 02:03 What is an open interval? 02:49 Half closed / Half open interval 05:58 Writing in interval notation
From playlist Calculus
Maximum and Minimum Values (Closed interval method)
A review of techniques for finding local and absolute extremes, including an application of the closed interval method
From playlist 241Fall13Ex3
Measurement, approximation + interval arithmetic (II) | Real numbers and limits Math Foundations 82
We continue on with a short intro to interval arithmetic, noting the difference between the laws of arithmetic over the natural numbers and the integers. The case of rational number intervals is also briefly discussed. We end the lecture with some remarks on the vagueness of ``real number'
From playlist Math Foundations
The Normal Distribution (1 of 3: Introductory definition)
More resources available at www.misterwootube.com
From playlist The Normal Distribution
Introduction to standard deviation, IQR [Inter-Quartile Range], and range
From playlist Unit 1: Descriptive Statistics
Jon Fickenscher: Number of ergodic and generic measures for minimal subshifts
Subshifts on finite alphabets form a class of dynamical systems that bridge topological/ergodic dynamical systems with that of word combinatorics. In 1984, M. Boshernitzan used word combinatorics to provide a bound on the number of ergodic measures for a minimal subshift with bounds on its
From playlist Virtual Conference
Live CEOing Ep 272: Date Functionality in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Date Functionality in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Benjamin Schweinhart (4/3/18): Persistent homology and the upper box dimension
We prove the first results relating persistent homology to a classically defined fractal dimension. Several previous studies have demonstrated an empirical relationship between persistent homology and fractal dimension; our results are the first rigorous analogue of those comparisons. Spe
From playlist AATRN 2018
Carine Pivoteau : Méthodes automatiques pour la génération aléatoire de structures... cours 1/2
CONFERENCE Recording during the thematic meeting : « ALEA Days» the March 16, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker : Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathemat
From playlist Combinatorics
Live CEOing Ep 68: New Language Design in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about New Language Design in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
Lecture 6 | The Fourier Transforms and its Applications
Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood picks up where he left off last lecture on Fourier Transformations, then he launches into a more formal treatment of Fourier transforms and explai
From playlist Fourier
07 Data Analytics: Confidence Intervals
Lecture on confidence intervals. What are they? How to calculate them? How we can impact business decisions.
From playlist Data Analytics and Geostatistics
Coding of space and time in the entorhinal cortex – Michael Hasselmo
Neurophysiological recordings from brain regions in behaving rodents demonstrate neurons that may code spatial location and elapsed time for memory function. This includes the coding in entorhinal cortex and hippocampus of spatial location by place cells (O'Keefe and Burgess, 1996) and gri
From playlist Wu Tsai Neurosciences Institute
Recorded: Fall 2015 Lecturer: Dr. Erin M. Buchanan This video covers the basic ideas of functions using R - topics include: Subsetting - using the subset function. Tapply - how to calculate descriptives using tapply, how tapply works. With - how to use the with function to make coding eas
From playlist Learn R + Statistics
Hiraoka Yasuaki (8/30/21): On characterizing rare events in persistent homology
Indecomposables obtained through decompositions of persistent homology are regarded as topological summary of real data. However, as is well known, there exist pathologically complicated indecomposables in multi-parameter persistent homology in purely algebraic setting, and this fact makes
From playlist Beyond TDA - Persistent functions and its applications in data sciences, 2021
Chapter 12 Sensitivity Specificity Predictive Values Odds Ratios
Ever wandered how to calculate sensitivity, specificity, positive and negative predictive values or odds ratios or even simply what these terms mean? Watch this short lecture.
From playlist Medical Statistics