series of n/2^n as a double summation
We will evaluate the infinite series of n/2^n by using the double summation technique. Thanks to Johannes for the solution. Summation by parts approach by Michael Penn: https://youtu.be/mNIsJ0MgdmU Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo 💪 Support this channe
From playlist Sum, math for fun
Same Tens Digit, Ones Digits Add to 10 [Math Trick Monday] #mathtrickmonday #mentalmath #numbersense
This is probably my all time favorite mental multiplication shortcut. Given two two-digit numbers that share a tens digit and which have ones digits that add up to 10, we can compute the product simply by multiplying the ones digits (this is the final two digits of the product), and then m
From playlist Number Sense (UIL / PSIA)
Learn to use summation notation for an arithmetic series to find the sum
👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is
From playlist Series
Same Ones Digits, Tens Digits Add Up to 10 [Math Trick Monday] #mentalmath #numbersense #iteachmath
This is a clever trick that can simplify multiplication of two two-digit numbers. When the ones digits of the numbers match and the tens digits have a sum of 10, the final two digits of the product will simply be the square of the common ones digit, and the first two digits of the product
From playlist Number Sense (UIL / PSIA)
Title: Toeplitz determinants, Painlevé equations, and special functions. Part II: a Riemann-Hilbert point of view - Lecture 1 Abstract: Starting with Onsager's celebrated solution of the two-dimensional Ising model in the 1940's, Toeplitz determinants have been one of the principal analyt
From playlist Analysis and its Applications
Title: Toeplitz determinants, Painlevé equations, and special functions. Part II: a Riemann-Hilbert point of view - Lecture 3 Abstract: Starting with Onsager's celebrated solution of the two-dimensional Ising model in the 1940's, Toeplitz determinants have been one of the principal analyt
From playlist Analysis and its Applications
Title: Toeplitz determinants, Painlevé equations, and special functions. Part II: a Riemann-Hilbert point of view - Lecture 2 Abstract: Starting with Onsager's celebrated solution of the two-dimensional Ising model in the 1940's, Toeplitz determinants have been one of the principal analyt
From playlist Analysis and its Applications
Squaring Numbers Just Above 100 #mtydkyn #mentalmath
This is a variation on a trick I've covered previously for multiplying numbers just above 100. But since the numbers are the same, it lets us simplify a couple of the steps. Subscribe: https://bit.ly/polymathematic | Enable ALL push notifications đź”” Take whatever amount the number is abov
From playlist Number Sense (UIL / PSIA)
Rigidity of random Toeplitz matrices with an application to depth three circuits -Tal
Topic:Rigidity of random Toeplitz matrices with an application to depth three circuits Speaker: Avishay Tal Date:Tuesday, December 1 Joint work with Oded Goldreich. We prove that random n-by-n Toeplitz matrices over GF2 have rigidity for rank, with high probability. This improves, for r=
From playlist Mathematics
The Rules of Powers: Zero Exponent, Negative Exponents // Math Minute [#49] [ALGEBRA] [ARITHMETIC]
Exponentiation is the special operation that upgrades addition into multiplication. From this key feature, we can generate all the rest of our power rules. When you multiply exponential expressions with a common base, you add the powers. When you divide such expressions, you subtract the p
From playlist Math Minutes
Cristina Câmara: Truncated Toeplitz operators
Abstract: Toeplitz matrices and operators constitute one of the most important and widely studied classes of non-self-adjoint operators. In this talk we consider truncated Toeplitz operators, a natural generalisation of finite Toeplitz matrices. They appear in various contexts, such as the
From playlist Analysis and its Applications
Bruno Iochum: Spectral triples and Toeplitz operators
I will give examples of spectral triples constructed using the algebra of Toeplitz operators on smoothly bounded strictly pseudoconvex domains in Cn, or the star product for the Berezin-Toeplitz quantization. The main tool is the theory of generalized Toeplitz operators on the boundary of
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Spectral properties of random perturbations of Toeplitz matrices... by Anirban Basak
PROGRAM: ADVANCES IN APPLIED PROBABILITY ORGANIZERS: Vivek Borkar, Sandeep Juneja, Kavita Ramanan, Devavrat Shah, and Piyush Srivastava DATE & TIME: 05 August 2019 to 17 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Applied probability has seen a revolutionary growth in resear
From playlist Advances in Applied Probability 2019
Suhasini Subba Rao: Reconciling the Gaussian and Whittle Likelihood with an application to ...
In time series analysis there is an apparent dichotomy between time and frequency domain methods. The aim of this paper is to draw connections between frequency and time domain methods. Our focus will be on reconciling the Gaussia likelihood and the Whittle likelihood. We derive an exact,
From playlist Virtual Conference
Multiplying numbers in scientific notation
👉 Learn how to multiply numbers written in scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is
From playlist Scientific Notation
How to Shift the Index of Summation with Infinite Series
How to Shift the Index of Summation with Infinite Series If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Differential Equations
Toeplitz methods in completeness and spectral problems – Alexei Poltoratski – ICM2018
Analysis and Operator Algebras Invited Lecture 8.18 Toeplitz methods in completeness and spectral problems Alexei Poltoratski Abstract: We survey recent progress in the gap and type problems of Fourier analysis obtained via the use of Toeplitz operators in spaces of holomorphic functions
From playlist Analysis & Operator Algebras
Top Hashing Algorithms In Cryptography | MD5 and SHA 256 Algorithms Explained | Simplilearn
In this video on Top Hashing Algorithms In Cryptography, we will cover the technical aspects of hashing while going through some well-known hash functions and algorithms at the end. We cover the basics of cryptography and its applications. We also have detailed MD5 and SHA265 Explained sec
From playlist Cyber Security Playlist [2023 Updated]🔥
Multiplying numbers just under 100: NOT the hardest two-digit numbers to multiply #shorts
Check out my main channel @polymathematic ! This summer, I am searching for the hardest two two-digit numbers to multiply together in your head. Because there are a lot of number sense and mental math tricks, it's a bit hard to say what will and won't be difficult. And obviously it is, to
From playlist The Hardest Two-Digit Multiplication