The summation generator, created in 1985, by Rainer Rueppel, was a cryptography and security front-runner in the late 1980s. It operates by taking the output of two LFSRs through an adder with carry. The operation's strength is that it is nonlinear. However, through the early 1990s various attacks against the summation generator eventually led to its fall to a correlation attack. In 1995 Klapper and Goresky were able to determine the summation generator's sequence in only 219 bits. An improved summation generator with 2-bit memory was then proposed by cryptographers Lee and Moon. In the new generator scheme an extra bit of memory is added to the nonlinear combining function. The objective in the modification was to make the summation generator immune to correlation attack. An attack against the improved summation generator was reported by Mex-Perera and Shepherd in 2002 by exploiting linear relations. Besides, in June 2005 an algebraic attack was developed. Using this attack a PC can calculate the initial state of the summation generator within 3 minutes even with 256 bit LFSRs. (Wikipedia).
Ex 1: Find a Sum Written in Summation / Sigma Notation
The video explains how to find a sum when given in summation / sigmna notation. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Series (Algebra)
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
Summation Notation and Summation Formulas used in Calculus to Find Area
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Summation Notation and Summation Formulas used in Calculus to Find Area
From playlist Calculus 1
Fundamentals of Mathematics - Lecture 16: Some Famous Summation Formulas
course page: http://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton - UVM
From playlist Fundamentals of Mathematics
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
Finding the sum or an arithmetic series using summation notation
👉 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
Given summation notation, learn how to find the sum of a finite series
👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term
From playlist Series
Summation and Sums of Powers | Algebraic Calculus One | Wild Egg
In this lecture, we introduce summation notation and the question of evaluating sums of powers. Summing series is an important aspect of calculus, and in particular we look at arithmetic and geometric series and the important formulas for their summation. This is a lecture in the Algebrai
From playlist Algebraic Calculus One from Wild Egg
Find a Partial Sum Using Summation Formula: Sum(2i^2), Sum(4i^3)
This video explains how to determine a partial sum given in sigma notation using summation formulas. http://mathispower4u.com
From playlist Series (Algebra)
An Introduction to "sequences" and discrete calculus | Algebraic Calculus One | Wild Egg
One of the serious challenges for any rigorous calculus course is finding suitable definitions of "sequences". These are the main objects of the Discrete Calculus, also sometimes called the Difference Calculus. Here we introduce the subject informally through the eyes of Thomas Harriot,
From playlist Algebraic Calculus One from Wild Egg
This is Lecture 2 of the CSE547 (Discrete Mathematics) taught by Professor Steven Skiena [http://www.cs.sunysb.edu/~skiena/] at Stony Brook University in 1999. The lecture slides are available at: http://www.cs.sunysb.edu/~algorith/math-video/slides/Lecture%2002.pdf More information may
From playlist CSE547 - Discrete Mathematics - 1999 SBU
NEURAL Bellman-Ford NETWORK - 2022 Neural BFNet - Graph Neural Networks w/ Link Prediction AI
Neural Bellman-Ford Networks - A brand-new representation learning framework based on paths for link prediction: A. representation of a pair of nodes as the generalized sum of all path representations between the nodes, B. with each path representation as the generalized product of the e
From playlist Learn Graph Neural Networks: code, examples and theory
Sequence Summation and the Difference Transform | Algebraic Calculus One | Wild Egg
Sequence summation is a key tool in the Discrete Calculus, dual to the Difference operation. We can state that the fundamental problem of the Discrete Calculus is summation of sequences, and we derive a few important ways of doing this, including the Fundamental Theorem of Discrete Calcul
From playlist Algebraic Calculus One
General Vector Spaces and Tensors | Wrap it Up!
In this video, I will introduce general vectorspaces over fields, the dual vectorspace, the cobasis, and general tensors. Translate This Video : http://www.youtube.com/timedtext_video?ref=share&v=1ReUzrT8n_Q Notes : None yet Patreon : https://www.patreon.com/user?u=16481182 Teespring : ht
From playlist Wrap It Up!
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
L05.10 The Expected Value Rule
MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu
From playlist MIT RES.6-012 Introduction to Probability, Spring 2018
Discrete Math II - 8.4.7 Solve Recurrence Relations with Generating Functions
We will utilize everything we have learned in the previous 6 videos to learn how to solve recurrence relations using generating functions. This is a longer video, but there is a LOT of prior knowledge you will be tapping into. We take our time through one example involving partial fraction
From playlist Discrete Math II/Combinatorics (entire course)
Worldwide Calculus: Sums and Differences
Lecture on 'Sums and Differences' from 'Worldwide Integral Calculus' and 'Worldwide AP Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Continuous Sums: the Definite Integral
Summation Formulas and Sigma Notation - Calculus
This calculus video tutorial provides a basic introduction into summation formulas and sigma notation. It explains how to find the sum using summation formulas for constants, i, i^2, and i^3. This video contains plenty of examples and practice problems. My E-Book: https://amzn.to/3B9
From playlist New Calculus Video Playlist