Mathematical series | Numerical analysis
In mathematics and numerical analysis, the van Wijngaarden transformation is a variant on the Euler transform used to accelerate the convergence of an alternating series. One algorithm to compute Euler's transform runs as follows: Compute a row of partial sums and form rows of averages between neighbors The first column then contains the partial sums of the Euler transform. Adriaan van Wijngaarden's contribution was to point out that it is better not to carry this procedure through to the very end, but to stop two-thirds of the way. If are available, then is almost always a better approximation to the sum than . In many cases the diagonal terms do not converge in one cycle so process of averaging is to be repeated with diagonal terms by bringing them in a row. (For example, this will be needed in a geometric series with ratio .) This process of successive averaging of the average of partial sum can be replaced by using the formula to calculate the diagonal term. For a simple-but-concrete example, recall the Leibniz formula for pi The algorithm described above produces the following table: These correspond to the following algorithmic outputs: (Wikipedia).
2.2.2 What is a linear transformation?
2.2.2 What is a linear transformation?
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2.2.3 Linear Transformations and Linear Combinations Part 1
2.2.3 Linear Transformations and Linear Combinations Part 1
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2.2.1 What makes a linear transformation special
2.2.1 What makes a linear transformation special
From playlist LAFF - Week 2
Basiswechsel - Transformationsmatrizen - Koordinatenwechsel
Abonniert den Kanal oder unterstützt ihn auf Steady: https://steadyhq.com/en/brightsideofmaths Ihr werdet direkt informiert, wenn ich einen Livestream anbiete. Hier erzähle ich etwas den allgemeinen Basiswechsel in Vektorräumen und rechne ein Beispiel vor. (Aufgabe passt zur Vorlesungen
From playlist Lineare Algebra
In this video, I define a cool operation called the symmetrization, which turns any matrix into a symmetric matrix. Along the way, I also explain how to show that an (abstract) linear transformation is one-to-one and onto. Finally, I show how to decompose and matrix in a nice way, sort of
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André Neveu - An integral transform for elliptic four-point conformal blocks in Liouville theory
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Linear Algebra 15c: The Reflection Transformation and Introduction to Eigenvalues
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Vladimir Bazhanov: Quantum geometry of 3-dimensional lattices
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From playlist SMRI Seminars
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The Chemist Decoding Our Cosmic Origins | Great Minds: Ewine van Dishoeck
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Philippe Michel - Some applications of trace functions to analytic number theory
December 18, 2014 - Analysis, Spectra, and Number theory: A conference in honor of Peter Sarnak on his 61st birthday. In the lecture, we will describe several applications of the theory of trace functions (Frobenius trace functions associated to $\ell$-adic sheaves on the affine line ov
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Lec 18 | MIT 5.80 Small-Molecule Spectroscopy and Dynamics, Fall 2008
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Digital Transformation | Big Data and Analytics | Simplilearn
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Lie Groups and Lie Algebras: Lesson 20 - Finite transformation example
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Counting Cars: EXTRA RETRO 70s Inspired Van Makeover (Season 10)
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