In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'" , is the shortest distance in pitch class space between two unordered pitch classes. For example, the interval class between pitch classes 4 and 9 is 5 because 9 − 4 = 5 is less than 4 − 9 = −5 ≡ 7 (mod 12). See modular arithmetic for more on modulo 12. The largest interval class is 6 since any greater interval n may be reduced to 12 − n. (Wikipedia).
Interval Notation (1 of 2: Bounded intervals)
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From playlist Working with Functions
We have seen an example of partitioning in the previous video. These partitioned sets are called equivalence sets or equivalence classes. In this video we look at some notation.
From playlist Abstract algebra
TabletClass Math http://www.tabletclass.com . This explains interval notation and set builder notation. Set notation is used in more advance math like Pre-Calculus and higher.
From playlist Pre-Calculus / Trigonometry
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Interval Notation Versus Inequality Notation. Learn the difference in this video by Mario's Math Tutoring. We discuss the difference between a closed interval and an open interval. Also we discuss how infinity works with interval notation. Interval Notation is often used when writing the
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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Classes Partition a Set Proof. This video starts with the definition of an equivalence class and then proves that for a given set S and an equivalence relation R on S, we can write S as the disjoint union of it's equival
From playlist Abstract Algebra
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
Year 12/AS Statistics Chapter 2.3 (Measures of Location & Spread)
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From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE
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From playlist Calculus
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From playlist Mathematics
How do we form Class Intervals? | Don't Memorise
To learn more about Data Handling, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=je7abSXxyTA&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 groups and class intervals 0:23 class intervals
From playlist Data Handling Class 08
Embedding ellipsoids into the one-point blowup of CP^2 - Dusa McDuff
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From playlist Mathematics
Live CEOing Ep 250: HistoricalEntities in Wolfram Language
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From playlist Behind the Scenes in Real-Life Software Design
Year 12/AS Statistics Chapter 3.4 (Representations of Data)
After exploring various ways of how to represent data we now consider how we can compare two different distributions of data against each other, and which measures of central tendency/spread to use when doing so. This lesson is meant as preparation for Exercise 3E, page 53 of the Pearson
From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE
Vanessa Robins (9/8/22): The Extended Persistent Homology Transform for Manifolds with Boundary
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From playlist AATRN 2022
Statistics - 9.2.1 Comparing Two Population Means (𝜎 Unknown, Unequal Variances)
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From playlist Applied Statistics (Entire Course)
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This is the first lesson to introduce some of the key concepts needed to tackle the statistics portion of the A-Level course. Here, we reintroduce the idea of measures of location (quartiles, mean, median) and spread (range and interquartile range). The mode, too, also features! This less
From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE
Measurement, approximation and interval arithmetic (I) | Real numbers and limits Math Foundations 81
This video introduces interval arithmetic, first in the context of natural numbers, and then for integers. We start with some remarks from the previous video on the difficulties with irrational numbers, sqrt(2), pi and e. Then we give some general results about order (less than, greater
From playlist Math Foundations
What is a Manifold? Lesson 14: Quotient Spaces
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From playlist What is a Manifold?