The term complex polygon can mean two different things: * In geometry, a polygon in the unitary plane, which has two complex dimensions. * In computer graphics, a polygon whose boundary is not simple. (Wikipedia).
Dividing Complex Numbers Example
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From playlist Complex Numbers
Complex Numbers as Points (1 of 4: Geometric Meaning of Addition)
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From playlist Complex Numbers
From playlist Complex Multiplication
ComplexMultiplication 1/3 - i/3
From playlist Complex Multiplication
Complex Power: (1 + i sqrt(3))^3
From playlist Complex Multiplication
What is the complex conjugate?
What is the complex conjugate of a complex number? Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve)
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From playlist Using Complex Numbers
Winter School JTP: Introduction to Fukaya categories, James Pascaleff, Lecture 2
This minicourse will provide an introduction to Fukaya categories. I will assume that participants are also attending Keller’s course on A∞ categories. Lecture 1: Basics of symplectic geometry for Fukaya categories. Symplectic manifolds; Lagrangian submanifolds; exactness conditions;
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Dynamics on the Moduli Spaces of Curves, I - Maryam Mirzakhani
Maryam Mirzakhani Stanford University March 26, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Christian Liedtke: Crystalline cohomology, period maps, and applications to K3 surfaces
Abstract: I will first introduce K3 surfaces and determine their algebraic deRham cohomology. Next, we will see that crystalline cohomology (no prior knowledge assumed) is the "right" replacement for singular cohomology in positive characteristic. Then, we will look at one particular class
From playlist Algebraic and Complex Geometry
Lionel Pournin - Distance, Strong Convexity, Flagness, and Associahedra
One can always transform a triangulation of a convex polygon into another by performing a sequence of edge flips, which amounts to follow a path in the graph G of the associahedron. The least number of flips required to do so is then a distance in that graph whose estimation is instrumenta
From playlist Combinatorics and Arithmetic for Physics: special days
Abigail Hickok 11/11/22: Persistence Diagram Bundles: A multidimensional generalization of vineyards
It is an active area of research to develop new methods for analyzing how the topology of a data set changes as multiple parameters vary. For example, if a point cloud evolves over time, then one might be interested in using time as a second parameter. When there are only two parameters (e
From playlist Vietoris-Rips Seminar
2. Breaking Polygons into Triangles: Diagonalization and Triangulation
MASSOLIT Featured Course of the Month This video is one part of a series of lectures that make up one MASSOLIT course. The full course is freely available for one month and will be removed from YouTube at the end of September 2022. More info is available at https://www.massolit.io/?sourc
From playlist Maths
A geometric model for the bounded derived category of a gentle algebra, Sibylle Schroll Lecture 3
Gentle algebras are quadratic monomial algebras whose representation theory is well understood. In recent years they have played a central role in several different subjects such as in cluster algebras where they occur as Jacobian algebras of quivers with potentials obtained from triangula
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
What do weighing scales and algebraic number theory have in common?
How would you compare the weight of 5 objects at the same time? More precisely, how can you decide whether the objects all have equal weight or not in the most efficient way? There is a device you can build, similar to the traditional scale, that should be just the right tool... at least i
From playlist Summer of Math Exposition Youtube Videos
Square Roots of Complex Numbers (1 of 2: Establishing their nature)
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From playlist Introduction to Complex Numbers
Anton Zorich: Equidistribution of square-tiled surfaces, meanders, and Masur-Veech volumes
Abstract: We show how recent results of the authors on equidistribution of square-tiled surfaces of given combinatorial type allow to compute approximate values of Masur-Veech volumes of the strata in the moduli spaces of Abelian and quadratic differentials by Monte Carlo method. We also s
From playlist Topology