Calculus – Optimization
Book Calculus by Thomas/Finney, 9th Edition, Page 233 Example problem: Find 2 positive numbers whose sum is 20 and their product is as large as possible.
Quantum Information – Quantum Noise and Error
Book Quantum Computation and Quantum Information, Nielson and Chuang. Cambridge, Page 353 and Page426 Systems can be either closed or open sytems. All systems somehow have to interact with outside environment. These unwanted interactions from outside world can introduce noie to the information processing system.
WordNet?
https://wordnet.princeton.edu https://direct.mit.edu/books/edited-volume/1928/WordNetAn-Electronic-Lexical-Database Wordnet is a lexical database for English.
Calculus – Application of Derivatives iii – Limits
Book Calculus by Thomas/Finney, 9th Edition, Page 220 Definitions of limits: There are various properties of limits: For more pages 220 – 232, Book Calculus by Thomas/Finney, 9th Edition.
Calculus – Application of Derivatives ii
Book Calculus by Thomas/Finney, 9th Edition, Page 205 Function’s critical points, local extreme values. How to test for local extreme values. At left and right endpoints? Graphing
Calculus – Application of Derivatives
Book calculus by Thomas/Finney, 9th Edition, Page 189 Derivatives can be used to analyze the behaviour of functions and solve practical optimization problems. Max-Min Theorem relates to existence of max and min value for a function $f4$ that is continous at every point of closed interval I. Absoluted maxima and minima on a closed interval ... Read More
FL Algorithms FedAvg
FedSGD – FedAVG H. B. McMahan, E. Moore, D. Ramage, S. Hampson, and B. A. y Arcas, “Communication-Efficient Learning of Deep Networks from Decentralized Data,” Jan. 26, 2023, arXiv: arXiv:1602.05629. doi: 10.48550/arXiv.1602.05629. In FedSGD, server sends current model $w_t$ to all devices and each device calculates the “slope” or gradient $g_k$ of its local data. ... Read More
Statistics – Introduction to Graphs
Book – Statistics an Introduction, 4th Edition, Roger E. Kirk, Page 42 Shapes of distributions.
Calculus – Derivatives
Book Calculus by Thomas/Finney, 9th Edition, Page 109 Derivates is one of the most important concept in calculus. It measures the rate at which a function changes. It is defined actually as the limit of secant slopes which is the slope of curve at a point. Derivative of the funtion $f$ with respect to variable ... Read More
Calculus – Limits and Continuity
Book Calculus by Thomas/Finney, 9th Edition; Page 51 Limit: One of the main concept that differentiates calculus with algebra and trigonometry (page 51). Core concepts: limit, limits to describe how different functions changes or varies (continuously or erratically), how limits can be used to define tangent lines to the graph of the functions, derivative of ... Read More