Calculus – Functions

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

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

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

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

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)

[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

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

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

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. $z[k] = \sum_{n=1}^N A_{n,[k]} e^{j\Theta_n[k]} s[k] \quad = C[k] e^{j\Phi[k]} s[k]$

Terms and Terminologies in Wireless Communication

Channel Fading: Signal experiencing fluctuations in amplitudehttps://www.geeksforgeeks.org/computer-networks/fading-in-wireless-communication/ https://www.sciencedirect.com/topics/engineering/fading-channel Signal Attenuation: Natural Loss of signal strength that occurs as a signal travels through medium or over a distance.https://en.wikipedia.org/wiki/Attenuationhttps://www.sciencedirect.com/topics/computer-science/signal-attenuation Binary Phase Shift Keying (BPSK):– represent digital data using phase; this technique -> phase shift keying (PSK)– Type of PSK -> binary phase shift keying (BPSK): use of ... Read More
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