Linear algebra | Geometric topology | Dimension | Algebraic geometry

Codimension

In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, to submanifolds in manifolds, and suitable subsets of algebraic varieties. For affine and projective algebraic varieties, the codimension equals the height of the defining ideal. For this reason, the height of an ideal is often called its codimension. The dual concept is relative dimension. (Wikipedia).

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My #MegaFavNumbers is the long form centillion

Responding to the call from my favourite math YouTubers. #MegaFavNumbers. The long form centillion. 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,

From playlist MegaFavNumbers

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What is the alternate in sign sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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Learn how to simplify an expression by using distributive property, 3(x^2 + 7x)

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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Simplifying an expression using the distributive property ex7, (1/4)(4f - 8)

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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How to simplify an expression by following order of operations and distributive property

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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How to simplify an expression by applying distributive property and combining like terms

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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How to apply distributive property then simplify the expression by combining like terms

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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Simplifying an expression using the distributive property ex4, (1 + 3c)9

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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Singularity and comparison theorems for metrics with positive scalar curvature - Chao Li

Variational Methods in Geometry Seminar Topic: Singularity and comparison theorems for metrics with positive scalar curvature Speaker: Chao Li Affiliation: Stanford University; Visitor, School of Mathematics Date: October 9, 2018 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

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Marc Levine: Refined enumerative geometry (Lecture 1)

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Marc Levine: Refined enumerative geometry Abstract: Lecture 1: Milnor-Witt sheaves, motivic homotopy theory and Chow-Witt groups We review the Hoplins-Morel construction of the Miln

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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Carolina Araujo: - Fano Foliations 1 -Definition, examples and first properties

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From playlist Virtual Conference

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J. V. Pereira - Algebraic leaves of codimension one foliations (Part 1)

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From playlist Ecole d'été 2019 - Foliations and algebraic geometry

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Purity for the Brauer group of singular schemes - Česnavičius - Workshop 2 - CEB T2 2019

Kęstutis Česnavičius (Université Paris-Sud) / 27.06.2019 Purity for the Brauer group of singular schemes For regular Noetherian schemes, the cohomological Brauer group is insensitive to removing a closed subscheme of codimension ≥ 2. I will discuss the corresponding statement for scheme

From playlist 2019 - T2 - Reinventing rational points

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What is a Chow Ring?

This is a lazy introduction to the idea of a Chow Ring. I don't prove anything :-(. Maybe soon in another video.

From playlist Intersection Theory

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Min-max solutions of the Ginzburg-Landau equations on closed manifolds - Daniel Stern

Variational Methods in Geometry Seminar Topic: Min-max solutions of the Ginzburg-Landau equations on closed manifolds Speaker: Daniel Stern Affiliation: Princeton University Date: February 12, 2019 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

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Simplifying an expression by adding and subtracting

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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Johan de Jong - Affineness of the complement of the ramification locus - WAGON

The purpose of this talk is to encourage people to think about purity questions. We will discuss a strong form of purity for morphisms of relative dimension 0. For morphisms of relative dimension 1 we relate the purity question to one on purity for families of curves.

From playlist WAGON

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Codimension two cycles - Madhav Nori

Madhav Nori University of Chicago; Member, School of Mathematics December 2, 2014 Problems analogous to Bloch's conjecture, and some tentative methods of attacking them, will be discussed. More videos on http://video.ias.edu

From playlist Mathematics

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Simplifying an expression using distributive property ex 6, 2.2(3t - 4p)

👉 Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression into simpler form. For expressions having parenthesis

From playlist Simplify Expressions Using Order of Operations

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Tangent bundle | Normal bundle | Linear subspace | Vector space | Ideal (ring theory) | Surgery theory | Intersection (set theory) | Degrees of freedom (physics and chemistry) | Ambient space | Topological vector space | Projective space | Parameter | Transversality (mathematics) | Glossary of differential geometry and topology | Quotient space (linear algebra) | Sides of an equation | Affine variety | Geometric topology | Submanifold | Intersection theory | Null vector | Cokernel | Mathematics | Ramification (mathematics) | Dual space | Integer | Union (set theory) | Subset | Manifold | General position | Complex number | Relative dimension | Kernel (algebra) | Constraint (mathematics) | Knot theory