ComputingNotes

Calculus – Rate of Change and Limit

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley. Average rate of change of function $y=f(x)$ is given by ... Read More

Calculus – Functions

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley. y is called the function of x if, $y = ... Read More

News – Google’s Quantum Advantage Oct 23 2025

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A verifiable quantum advantage https://research.google/blog/a-verifiable-quantum-a dvantagehttps://www.theguardian.com/technology/2025/oct/22/google-hails-breakthrough-as-quantum-computer-surpasses-ability-of-supercomputersGoogle unveils quantum computing breakthrough on Willow chiphttps://www.afr.com/technology/google-unveils-quantum-computing-breakthrough-on-willow-chip-20251023-p5n4m8Google claims ‘quantum advantage’ again — but researchers are scepticalhttps://www.nature.com/articles/d41586-025-03300-4Observation of constructive interference at the edge of quantum ergodicityhttps://www.nature.com/articles/s41586-025-09526-6 Key Claims: D. A. Abanin, “Observation of constructive interference at the edge of quantum ergodicity”.

Quantum Computing – Gates Basics

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C. P. Williams, Explorations in Quantum Computing. in Texts in Computer Science. London: Springer, 2011. doi: 10.1007/978-1-84628-887-6. Defining a unitary matrix, where $U^{-1} = U^\dagger $ (inverse equals its conjugate transpose). Pauli matrices: $1 = \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix}$ $X = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}$ ... Read More

Calculus – Coordinates, Lines and Increments

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley. The coodinates of point $P(a,b)$ are $a$ and $b$. $a$ ... Read More

Calculus – Preliminaries

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Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley.

Controlled Barrage Regions (CBR)

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[1] T. R. Halford, K. M. Chugg, and A. Polydoros, “Barrage relay networks: System & protocol design,” in 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Sep. 2010, pp. 1133–1138. doi: 10.1109/PIMRC.2010.5672062. [2] T. R. Halford and K. M. Chugg, “Barrage Relay Networks,” in 2010 Information Theory and Applications Workshop (ITA), ... Read More

CBR Establishment Analysis

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T. R. Halford, K. M. Chugg, and A. Polydoros, “Barrage relay networks: System & protocol design,” in 21st Annual IEEE International Symposium on Personal, Indoor and Mobile Radio Communications, Sep. 2010, pp. 1133–1138. doi: 10.1109/PIMRC.2010.5672062.

Quantum Computing

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C. P. Williams, Explorations in Quantum Computing. in Texts in Computer Science. London: Springer, 2011. doi: 10.1007/978-1-84628-887-6.

Coorperative Communication

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D. K. Lee and K. M. Chugg, “A Pragmatic Approach to Cooperative Communication,” in MILCOM 2006 – 2006 IEEE Military Communications conference, Oct. 2006, pp. 1–7. doi: 10.1109/MILCOM.2006.301987. $z[k] = \sum_{n=1}^N A_{n,[k]} e^{j\Theta_n[k]} s[k] \quad = C[k] e^{j\Phi[k]} s[k]$
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