Uploaded September 2024 | Updated September 2026, 1 week ago
This is video #1 of my 'Daily Math Puzzle' series. The questions are intended to be brain teasers or puzzles of varying difficulty for those interested in recreational math and puzzle solving.
In this question, we have the digits one through five that must be arranged in a star pattern. We want to consider all such possible diagrams.
We are interested in finding the probability of selecting a diagram at random so that at least one edge links consecutive numbers.
#maths #matholympiad #mathcompetition #permutations #factorial #wordle #crossword #discrete_mathematics #college #algebra #combinations #puzzle #puzzlegame #puzzlegames
This is video #1 of my 'Daily Math Puzzle' series. The questions are intended to be brain teasers or puzzles of varying difficulty for those interested in recreational math and puzzle solving.
In this question, we have the digits one through five that must be arranged in a star pattern. We want to consider all such possible diagrams.
We are interested in finding the probability of selecting a diagram at random so that at least one edge links consecutive numbers.
#maths #matholympiad #mathcompetition #permutations #factorial #wordle #crossword #discrete_mathematics #college #algebra #combinations #puzzle #puzzlegame #puzzlegames






![Ladder Networks, Circuits, Transfer Matrix, LU Factorizations
(https://youtu.be/vI6XO09JF6w)
(https://youtu.be/6tnAzRMtq3M)
Matrix LU Factorizations | Circuits and the Transfer Matrix
In this video, well delve into the application of matrix and LU factorizations in the context of electrical circuits, focusing on transfer matrices in ladder networks. Using matrices to model circuits helps analyze and simplify complex networks. Here, youll see how input and output voltages and currents relate through a transfer matrix, a valuable tool in electrical engineering.
What You Will Learn:
The basics of transfer matrices in electrical circuits.
How LU factorization applies to circuit analysis.
Step-by-step example of deriving the transfer matrix for a ladder network.
This knowledge is essential for anyone interested in circuit design, linear algebra applications, or electrical engineering fundamentals. By the end of the video, youll have a clear understanding of how to approach transfer matrices and use LU factorization to simplify circuit networks.
[Patreon support link for PatrickJMT] (https://www.patreon.com/patrickjmt?ty=c)
#MatrixFactorization #LUFactorization #TransferMatrix #LadderNetworks #ElectricalEngineering #PatrickJMT #Mathematics #CircuitAnalysis #LinearAlgebra #MathTutorial #EngineeringMath #Voltage #Current #MathHelp #MatrixTheory #MathTeacher #EducationalMath #LUDecomposition #MathExplained #LearnEngineering #Circuits #CircuitTheory Ladder Networks, Circuits, Transfer Matrix, LU Factorizations](https://i.ytimg.com/vi/dqdzKTkWMG4/mqdefault.jpg)



