Advances in Applied Mathematics and Computing
type: channel
description: Advances in Applied Mathematics and Computing (AAMC) is an international peer-reviewed, open-access journal that publishes high-quality research in applied mathematics, computational science, and advanced computing. The journal covers mathematical modeling, numerical analysis, optimization, scientific computing, computational intelligence, data analytics, machine learning, simulation techniques, and interdisciplinary computational applications. It provides a platform for innovative research that advances mathematical methods and computational technologies for solving complex real-world problems.
publisher: Tresearch OU
language: en
publication name: Advances in Applied Mathematics and Computing
issn: 3125-5167
items: DIGITAL TRANSFORMATION AND ORGANIZATIONAL PERFORMANCE: THE MEDIATING ROLE OF ORGANIZATIONAL AGILITY AND MODERATING EFFECT OF ENVIRONMENTAL TURBULENCE
items: MATHEMATICAL CORRELATION OF IC50 AND MIC OF HYDROPHOBIC ANTIBIOTICS FOLLOWING COMPETITIVE INHIBITION IN THE DISK DIFFUSION METHOD
items: CODING/DECODING NUMBER ARRAYS COUNTING IN TRIPLETS
items: SPECTRAL TOPOLOGY OF GLOBAL IMBALANCES: A GRAPH-THEORETIC FRAMEWORK FOR SYSTEMIC RISK IN THE BALANCE OF PAYMENTS
items: DEVELOPMENTS OF THE OPTIMIZATION IN TERNARY CALCULUS
items: REDUCING ERROR RATES AND LATENCY IN ASYNCHRONOUS RADIO NETWORKS VIA STRUCTURED INFORMATION FLOW
items: DEVELOPMENT AND EXPERIMENTAL VALIDATION OF A 315–335 MHZ RF POWER AMPLIFIER FOR SPECIALIZED SHORT-RANGE COMMUNICATION SYSTEMS
items: COMPARATIVE ANALYSIS OF DIPOLE, YAGI–UDA, AND HELICAL ANTENNAS IN FM TRANSMISSION SYSTEMS FOR IMPROVED SIGNAL STRENGTH, COVERAGE EFFICIENCY, AND BROADCAST RELIABILITY
items: BROADBAND DIPOLE ANTENNA WITH INTEGRATED BALUN FOR ENHANCED WIDEBAND AND STABLE COMMUNICATION PERFORMANCE
items: ADAPTIVE MODULATION AND CODING TECHNIQUES FOR ENHANCING RELIABILITY, POWER EFFICIENCY, AND SIGNAL ROBUSTNESS IN HIGH-POWER DVB-T2 DIGITAL TELEVISION TRANSMISSION SYSTEMS
items: FATHER HUMAN SWARM OPTIMIZATION (FATHERHSO): ISVHAAI AI SOCIETY LETTERS
items: EXCELLENCE MONEY HUMAN SWARM OPTIMIZATION (EMHSO): ISVHAAI AI SOCIETY LETTERS
items: S M NAZMUZ SAKIB AND PYTHAGORAS: SAKIBIAN GEOMETRY VS. PYTHAGOREAN GEOMETRY
items: S M NAZMUZ SAKIB AND PYTHAGORAS: FROM PYTHAGOREAN GEOMETRY TO SAKIBIAN GEOMETRY
items: S M NAZMUZ SAKIB AND PYTHAGORAS: A COMPARATIVE DISCUSSION ON SAKIBIAN GEOMETRY AND THE PYTHAGOREAN GEOMETRY
items: BEYOND CORRELATION: ENHANCING CURRENCY PORTFOLIOCONSTRUCTION THROUGH KENDALL’S TAU ANDCORRESPONDENCE ANALYSIS

DIGITAL TRANSFORMATION AND ORGANIZATIONAL PERFORMANCE: THE MEDIATING ROLE OF ORGANIZATIONAL AGILITY AND MODERATING EFFECT OF ENVIRONMENTAL TURBULENCE
type: item
description: Digital transformation has become a strategic imperative for organizations seeking to improve performance and sustain competitiveness amid increasingly turbulent business environments. This study examines the effect of digital transformation on organisational performance, focusing on the mediating role of organisational agility and the moderating effect of environmental turbulence. A sequential explanatory mixed-methods design was adopted, combining a quantitative survey with qualitative interviews. Quantitative data were obtained from 452 valid responses across 65 medium-sized and large organizations in information technology, financial services, manufacturing, telecommunications, and healthcare. Data were analyzed using descriptive statistics, measurement-model assessment, reliability and validity testing, Structural Equation Modelling (SEM), mediation analysis, and moderation analysis. Qualitative data were obtained through semi-structured interviews with 25 purposively selected participants and analyzed thematically. The results show that digital transformation significantly enhances organisational agility (β = 0.686, p < 0.001; R² = 0.47), while organisational agility significantly improves organisational performance (β = 0.553, p < 0.001). Organisational agility significantly mediates the relationship between digital transformation and organisational performance (indirect effect = 0.380, p < 0.001), while environmental turbulence significantly moderates the relationship between digital transformation and organisational agility (β = 0.217, p = 0.001). The study contributes an integrated framework demonstrating how organisational agility serves as a mechanism through which digital transformation generates performance benefits and how environmental conditions shape this relationship.
subject: Articles
  topic: section
subject: Transformation
  topic: keywords
subject: Sustaining
  topic: keywords
subject: Environmental
  topic: keywords
subject: Modeling
  topic: keywords
subject: Cronbach's alpha
  topic: keywords
creator: Atinuola Elizabeth Ayeoribe
creator: Olarewaju Peter Ayeoribe
rights: Copyright (c) 2026 Atinuola Elizabeth Ayeoribe, Olarewaju Peter Ayeoribe (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-08-10
publication date: 2026-08-10
starting page: 45
ending page: 69
doi: 10.63456/aamc-2-2-128

MATHEMATICAL CORRELATION OF IC50 AND MIC OF HYDROPHOBIC ANTIBIOTICS FOLLOWING COMPETITIVE INHIBITION IN THE DISK DIFFUSION METHOD
type: item
description: Objective: This study explores the mathematical link between binding affinity, drug resistance, IC50, MIC, and Zone of Inhibition (ZOI) in the disc diffusion method for antimicrobial susceptibility testing. We consider ZOI (x) as a response to antibiotic concentration, showing that x is proportional to –log (MIC) and correlated with the binding free energy (exp ΔG). Our findings establish a clear relationship between binding affinity, MIC, ZOI, and antibiotic concentration (c) for hydrophobic antibiotics under competitive inhibition in the disk diffusion method, the value of half Maximal inhibitory concentration IC50 is equal to the twice of minimum inhibitory concentration to the multiple of exponent of fraction of Zone of Inhibition ‘x’ and dissipative term “V” by twice the diffusion term. It will Contributing to a better understanding of resistance mechanisms. Methods: The mathematical derivations are been validated by the published data available from the journal such as MIC, diffusion constant (D), ZOI (x) and IC50 values and Dissipative Value (V) has been calculated and calculated, IC50 values are compared with reported values. Result: The data had been validated for ∆G, Dissipative Value (V), IC50 values from predictive to reported it had been observed that while calculating IC50 values of resistance and non-resistance susceptibility, the MIC value for resistance group is more hence the value of IC50 will depreciates and depend more on values of ZOI (x) and V the dissipative term Table 1 revels while analysing the ratio between resistance and non-resistance MIC and IC50 shows direct relationship it can be cross verified by reported and calculated values, Levofloxacin IC50 values ranges from 9.81- 3.2 µg/ml while calculated value is 10-1.6 µg/ml, binding energy ∆G reported is -6.57 and calculated is -7.72 to 7.82 K Cal/mol (Table 1) similarly with ciprofloxacin the value of IC50 for non-resistant to resistant is 3.5- 10 µg/ml where Mic is 0.001-0.5 µg/ml, bind…
subject: Articles
  topic: section
subject: MIC,
  topic: keywords
subject: Zone of Inhibition,
  topic: keywords
subject: Binding affinity
  topic: keywords
subject: antibiotic resistance
  topic: keywords
subject: IC50
  topic: keywords
subject: Competative Inhibition
  topic: keywords
subject: Disk diffusion.
  topic: keywords
creator: Viqar Agha
creator: Mohammad Asif
rights: Copyright (c) 2026 Viqar Agha, Mohammad Asif (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-08-12
publication date: 2026-08-12
starting page: 70
ending page: 91
doi: 10.63456/aamc-2-2-114

CODING/DECODING NUMBER ARRAYS COUNTING IN TRIPLETS
type: item
description: Following research of the same author on 'Logical Principles in Ternary Mathematics,' we would like to improve the model that was proposed in the aforementioned article by the diagram that links decimal numbers, number arrays, and triplets. The latter has to undergo some specification. Here the term 'trits' implies not only a set of three numbers as in ( ) It is also a three-component vector It's a very important provision because it links a vector space, an integer, and a number array; each of them being an independent unit.[6] Understanding concepts like 'vector space,' 'integer,' and 'triplet' can be challenging, especially for someone new to the topic. It's easy to feel confused by the terminology used. So, let's move on swiftly and illustrate this idea with an example: This principle will define our analysis given below.
subject: Articles
  topic: section
subject: trits,
  topic: keywords
subject: vector field,
  topic: keywords
subject: complex conditionals
  topic: keywords
creator: Ruslan Pozinkevych
rights: Copyright (c) 2026 Ruslan Pozinkevych (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-08-07
publication date: 2026-08-07
starting page: 42
ending page: 44
doi: 10.63456/aamc-2-2-111

SPECTRAL TOPOLOGY OF GLOBAL IMBALANCES: A GRAPH-THEORETIC FRAMEWORK FOR SYSTEMIC RISK IN THE BALANCE OF PAYMENTS
type: item
description: We model global balance-of-payments linkages as a directed weighted exposure network and study systemic fragility through the spectrum of the associated operators. From a signed bilateral-flow matrix we construct a nonnegative exposure lift, derive a spectral stability criterion for linear propagation, and define node- and edge-level risk measures using Perron–Frobenius geometry, PageRank, and marginal spectral impact. We further give two complementary extensions: a directed Laplacian formulation for shock diffusion and a non-backtracking threshold for cascade formation on sparse exposure networks. The framework identifies systemic risk as a topological property of the global network, rather than a collection of isolated country indicators, and yields mathematically explicit diagnostics for resilience, concentration of stress, and targeted stabilization.
subject: Articles
  topic: section
subject: Balance of payments
  topic: keywords
subject: exposure networks
  topic: keywords
subject: spectral stability
  topic: keywords
subject: systemic risk
  topic: keywords
subject: directed Laplacian
  topic: keywords
subject: non-backtracking threshold
  topic: keywords
creator: Chandrasekhar Gokavarapu
creator: Sanjeev Kumar Chejarla
creator: Balayya Rajana
creator: V. N. S. R. Murthy Duggirala
creator: Srinivasulu Chittaru
rights: Copyright (c) 2026 Chandrasekhar Gokavarapu, Sanjeev Kumar Chejarla, Balayya Rajana, V. N. S. R. Murthy Duggirala, Srinivasulu Chittaru (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-07-28
publication date: 2026-07-28
starting page: 35
ending page: 47
doi: 10.63456/aamc-2-1-87

DEVELOPMENTS OF THE OPTIMIZATION IN TERNARY CALCULUS
type: item
description: The aim of the aforementioned research is to establish relations between integers n ∈ Z and vectors x ∈ R3 A ternary operation on a set S in mathematics is a function ω : S×S×S → S that maps each ordered triple (a,b,c) ∈ S3 to an element ω(a,b,c) ∈ S This describes a particular example of an n-ary operation for n=3,where the domain is the Cartesian product of three copies of S and the codomain is S itself[1]
subject: Articles
  topic: section
subject: Optimization Techniques
  topic: keywords
subject: Cubic Equation
  topic: keywords
creator: Ruslan Pozinkevych
rights: Copyright (c) 2026 Ruslan Pozinkevych (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-05-13
publication date: 2026-05-13
starting page: 33
ending page: 34
doi: 10.63456/aamc-2-1-84

REDUCING ERROR RATES AND LATENCY IN ASYNCHRONOUS RADIO NETWORKS VIA STRUCTURED INFORMATION FLOW
type: item
description: The evolution of modern wireless communication systems has heightened the demand for efficient and reliable asynchronous radio transmission mechanisms. This study explores how structured information flow impacts the intricacy, reliability, and overall performance of such systems, particularly under dynamic network conditions. Asynchronous systems, unlike their synchronous counterparts, operate without a global clock reference, resulting in potential timing discrepancies, packet collisions, and signal distortion. By implementing a structured information flow protocol, where data packets follow optimized routing sequences with prioritized buffering and scheduling strategies, the system demonstrates measurable improvements in operational stability and throughput. Simulation experiments conducted on a 5G-inspired wireless testbed revealed that structured information flow reduced packet loss rates from 7.8% to 2.3% and improved end-to-end latency by approximately 18%, compared to unstructured transmission. Additionally, system intricacy, quantified through the complexity metric of protocol state transitions, decreased by 12%, indicating simplified network management without compromising performance. Reliability analysis, performed via bit-error rate (BER) evaluation under varying signal-to-noise ratios (SNRs), showed a reduction from 10⁻³ to 3.5×10⁻⁴ in the structured system, confirming enhanced robustness against channel impairments. The findings suggest that structured information flow not only mitigates intrinsic asynchronous system challenges but also enhances adaptability in multi-node wireless environments characterized by interference and unpredictable traffic patterns. These results are particularly relevant for emerging applications such as Internet of Things (IoT) networks, autonomous vehicular communication, and next-generation mobile broadband, where latency, reliability, and efficiency are critical. This study contributes to the theoretical and practical und…
subject: Articles
  topic: section
subject: Asynchronous radio transmission
  topic: keywords
subject: structured information flow
  topic: keywords
subject: wireless communication
  topic: keywords
subject: system reliability
  topic: keywords
subject: network performance
  topic: keywords
subject: protocol complexity
  topic: keywords
subject: signal-to-noise ratio (SNR)
  topic: keywords
subject: packet loss
  topic: keywords
subject: latency optimization
  topic: keywords
creator: Olarewaju Peter Ayeoribe
rights: Copyright (c) 2025 Advances in Applied Mathematics and Computing https://creativecommons.org/licenses/by/4.0
date: 2025-12-19
publication date: 2025-12-19
starting page: 28
ending page: 34
doi: 10.63456/aamc-1-1-54

DEVELOPMENT AND EXPERIMENTAL VALIDATION OF A 315–335 MHZ RF POWER AMPLIFIER FOR SPECIALIZED SHORT-RANGE COMMUNICATION SYSTEMS
type: item
description: This study presents the design, optimization, and practical implementation of a proposed RF power amplifier (RFPA) specifically engineered for operation within nonstandard frequency bands, where conventional amplifier topologies often exhibit reduced efficiency, instability, and significant output power degradation. The amplifier was developed using a Class-AB configuration to balance linearity and efficiency, with a target operational range of 315–335 MHz, a band commonly used for specialized communication systems such as industrial control, short-range telemetry, and customized RF modules. Computer-aided simulations were conducted using ADS and CST Studio Suite to analyze key parameters including gain, power-added efficiency (PAE), output power, harmonic suppression, and stability factor (K). Simulation results showed a peak gain of 18.7 dB, an output power of 27.5 dBm, and a PAE of 54.2% at 325 MHz. The stability analysis indicated a Rollett stability factor K = 1.42, confirming unconditional stability across the entire operational band. To ensure practical viability, the amplifier was constructed on a FR-4 substrate (εr = 4.3, thickness 1.6 mm), using a matched input–output network optimized for minimal insertion loss and maximum power transfer. Laboratory measurements closely matched simulation outcomes, yielding a measured gain of 17.9 dB, output power of 26.8 dBm, and PAE of 52.6%, demonstrating less than 5% deviation from simulated values. Further evaluation included spectrum analysis, which confirmed harmonic suppression greater than –32 dBc for the second harmonic and –41 dBc for the third harmonic. Thermal performance tests indicated a temperature rise of 14°C at full load, remaining within safe operational limits without requiring active cooling. Overall, the study confirms that the proposed RFPA offers a robust, energy-efficient, and stable solution for nonstandard frequency applications. Its strong agreement between simulation and measurement validates…
subject: Articles
  topic: section
subject: RF power amplifier
  topic: keywords
subject: nonstandard frequency band
  topic: keywords
subject: efficiency
  topic: keywords
subject: stability
  topic: keywords
subject: gain
  topic: keywords
subject: PAE
  topic: keywords
subject: output power
  topic: keywords
subject: harmonic suppression
  topic: keywords
subject: implementation
  topic: keywords
creator: Olarewaju Peter Ayeoribe
rights: Copyright (c) 2025 Advances in Applied Mathematics and Computing https://creativecommons.org/licenses/by/4.0
date: 2025-12-30
publication date: 2025-12-30
starting page: 35
ending page: 46
doi: 10.63456/aamc-1-1-53

COMPARATIVE ANALYSIS OF DIPOLE, YAGI–UDA, AND HELICAL ANTENNAS IN FM TRANSMISSION SYSTEMS FOR IMPROVED SIGNAL STRENGTH, COVERAGE EFFICIENCY, AND BROADCAST RELIABILITY
type: item
description: The study here compares and evaluates the performance of different antennas such as the dipole, Yagi-Uda, and helical antennas in the context of FM broadcasting. The main goal here is to compare how these antennas perform in terms of signal strength and efficiency. The study carried out experiments in a controlled environment and tested the antennas in an outdoor environment by scanning the FM band from 88 to 108 MHz. The experiments were conducted in a similar environment to compare the performance of these antennas. The parameters taken for the study were gain in dBi, SNR, RSSI, bandwidth efficiency, and radiation pattern stability. The results obtained from the experiments show that the dipole antenna performed at an average gain of 2.1 dBi and an RSSI of -64 dBm at a distance of 1 km. The study also found that the SNR for the dipole was 18.4 dB. The results obtained from the experiments show that the dipole antenna performed well at a distance of 3 km. The performance of the dipole antenna was average. The study also found that the Yagi-Uda antenna performed very well in terms of directional efficiency. The results obtained from the experiments show that the Yagi-Uda antenna performed at an average gain of 9.6 dBi and an RSSI of -47 dBm at a distance of 1 km. The study also found that the SNR for the Yagi-Uda antenna was 27.8 dB. The results obtained from the experiments show that the Yagi-Uda antenna performed very well at a distance of 8.5 km. The study also found that the helical antenna performed at an average gain of 6.2 dBi and an RSSI of -55 dBm at a distance of 1 km. The study also found that the SNR for the helical antenna was 23.1 dB. The results obtained from the experiments show that the helical antenna performed very well at a distance of 6.2 km. The study found that the helical antenna performed better in an environment with buildings and foliage. The study concluded that the choice of the antenna depends upon the requirements. The study concluded …
subject: Articles
  topic: section
subject: FM transmission
  topic: keywords
subject: dipole antenna
  topic: keywords
subject: Yagi-Uda antenna
  topic: keywords
subject: helical antenna
  topic: keywords
subject: signal strength
  topic: keywords
subject: gain
  topic: keywords
subject: SNR
  topic: keywords
subject: coverage efficiency
  topic: keywords
subject: broadcast reliability
  topic: keywords
creator: Olarewaju Peter Ayeoribe
rights: Copyright (c) 2025 Advances in Applied Mathematics and Computing https://creativecommons.org/licenses/by/4.0
date: 2026-03-18
publication date: 2026-03-18
starting page: 1
ending page: 12
doi: 10.63456/aamc-2-1-52

BROADBAND DIPOLE ANTENNA WITH INTEGRATED BALUN FOR ENHANCED WIDEBAND AND STABLE COMMUNICATION PERFORMANCE
type: item
description: Broadband wireless communication systems require antennas with wide impedance bandwidth, stable radiation characteristics, high efficiency, and compact structural integration to support reliable multi-band operation. This paper presents the design, optimization, fabrication, and experimental validation of a broadband dipole antenna incorporating an integrated balun to enhance impedance matching, radiation efficiency, and communication stability. The antenna geometry was developed using full-wave electromagnetic modelling and optimized through parametric analysis before prototype fabrication and experimental characterization using a calibrated vector network analyzer. The fabricated antenna achieved a measured operating frequency range of 1.18 - 4.43 GHz, corresponding to an impedance bandwidth of 3.25 GHz and a fractional bandwidth of 113.8%. A minimum reflection coefficient (S₁₁) of -36.8 dB and a VSWR of 1.11 were obtained, demonstrating excellent impedance matching throughout the operating band. The antenna further achieved a measured peak gain of 7.6 dBi, radiation efficiency of 94.5%, and stable radiation patterns across the entire frequency range. Comparative analysis with a conventional dipole antenna revealed bandwidth, gain, and radiation-efficiency improvements of 264.1%, 83.7%, and 13.7%, respectively. Furthermore, the maximum deviation between simulated and measured results remained below 6%, confirming the validity of the proposed electromagnetic model and fabrication process. The integrated balun effectively suppresses common-mode currents, improves current symmetry, and enhances overall antenna performance, demonstrating the proposed design as a robust solution for broadband and stable wireless communication applications.
subject: Articles
  topic: section
subject: Broadband dipole antenna
  topic: keywords
subject: Integrated balun
  topic: keywords
subject: Wideband antenna
  topic: keywords
subject: Impedance matching
  topic: keywords
subject: Radiation efficiency
  topic: keywords
creator: Olarewaju Peter Ayeoribe
rights: Copyright (c) 2026 Olarewaju Peter Ayeoribe (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-08-01
publication date: 2026-08-01
starting page: 1
ending page: 28
doi: 10.63456/aamc-2-2-51

ADAPTIVE MODULATION AND CODING TECHNIQUES FOR ENHANCING RELIABILITY, POWER EFFICIENCY, AND SIGNAL ROBUSTNESS IN HIGH-POWER DVB-T2 DIGITAL TELEVISION TRANSMISSION SYSTEMS
type: item
description: Adaptive Modulation and Coding (AMC) has become a critical mechanism in optimizing the performance of Digital Video Broadcasting–Terrestrial, second generation (DVB-T2), particularly for high-power transmission systems operating under the EN 302 755 EU standard. This study evaluates the trade-off between spectral efficiency, bit error rate (BER), and carrier-to-noise ratio (C/N) across various AMC profiles at a transmitter power of 5 kW over a 10 km coverage radius. Simulations were conducted using MATLAB DVB-T2 toolboxes and validated with laboratory measurements on a 1 kW prototype exciter. Results show that QPSK 1/2 achieved robust performance at low C/N (3.8 dB) with BER ≤ 10⁻⁷, but spectral efficiency was limited to 1.0 bit/s/Hz. Conversely, 256-QAM 3/4 provided maximum throughput (6.7 bit/s/Hz) but required a C/N threshold of 21.4 dB to maintain BER ≤ 2 × 10⁻⁶. Intermediate modes such as 16-QAM 1/2 and 64-QAM 2/3 offered balanced performance, delivering 2.2 and 4.5 bit/s/Hz at C/N thresholds of 7.9 dB and 14.6 dB, respectively. Laboratory field trials confirmed that adaptive switching between modulation-coding schemes reduced outage probability by 27% compared to static configurations, while improving average spectral efficiency by 18%. These findings demonstrate that AMC under the EN 302 755 standard significantly enhances system robustness and spectrum utilization in high-power DVB- T2 deployments.
subject: Articles
  topic: section
subject: Adaptive Modulation and Coding (AMC)
  topic: keywords
subject: DVB-T2
  topic: keywords
subject: EN 302 755
  topic: keywords
subject: spectral efficiency
  topic: keywords
subject: BER
  topic: keywords
subject: C/N ratio
  topic: keywords
subject: high-power transmission
  topic: keywords
subject: Broadcasting
  topic: keywords
subject: Efficiency
  topic: keywords
creator: Olarewaju Peter Ayeoribe
rights: Copyright (c) 2026 Olarewaju Peter Ayeoribe (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-03-21
publication date: 2026-03-21
starting page: 13
ending page: 21
doi: 10.63456/aamc-2-1-50

FATHER HUMAN SWARM OPTIMIZATION (FATHERHSO): ISVHAAI AI SOCIETY LETTERS
type: item
description: Very Highly Advanced Artificial Intelligence (VHAAI) is the field used by International Society for VHAAI (ISVHAAI) to deal with problems. Father Human Swarm Optimization (FatherHSO) is the novel algorithm designed in this Letter No. 16 of ISVHAAI Artificial Intelligence Society Letters.
subject: Articles
  topic: section
subject: Father
  topic: keywords
subject: Swarm
  topic: keywords
subject: Human Swarm Optimization
  topic: keywords
subject: HSO
  topic: keywords
subject: FatherHSO
  topic: keywords
subject: AI
  topic: keywords
subject: VHAAI
  topic: keywords
subject: ISVHAAI
  topic: keywords
creator: Satish Gajawada
rights: Copyright (c) 2025 Advances in Applied Mathematics and Computing https://creativecommons.org/licenses/by/4.0
date: 2025-12-11
publication date: 2025-12-11
starting page: 26
ending page: 27
doi: 10.63456/aamc-1-1-46

EXCELLENCE MONEY HUMAN SWARM OPTIMIZATION (EMHSO): ISVHAAI AI SOCIETY LETTERS
type: item
description: A new field titled Very Highly Advanced Artificial Intelligence (VHAAI) and a new Society titled International Society for VHAAI (ISVHAAI) have been coined and defined in 2024. ISVHAAI Society improves and applies VHAAI field to address various problems. This is the Letter No. 15 of ISVHAAI Artificial Intelligence Society Letters. In this Letter, a new algorithm titled Excellence Money Human Swarm Optimization (EMHSO) has been designed.
subject: Articles
  topic: section
subject: AI
  topic: keywords
subject: VHAAI
  topic: keywords
subject: Money
  topic: keywords
subject: Excellence
  topic: keywords
subject: Human Swarm Optimization
  topic: keywords
subject: HSO
  topic: keywords
subject: EMHSO
  topic: keywords
creator: Satish Gajawada
rights: Copyright (c) 2025 Advances in Applied Mathematics and Computing https://creativecommons.org/licenses/by/4.0
date: 2025-12-06
publication date: 2025-12-06
starting page: 11
ending page: 12
doi: 10.63456/aamc-1-1-45

S M NAZMUZ SAKIB AND PYTHAGORAS: SAKIBIAN GEOMETRY VS. PYTHAGOREAN GEOMETRY
type: item
description: This paper presents the first comprehensive comparative study of Pythagorean geometry and Sakibian geometry, two mathematical traditions separated by approximately two and a half millennia but united by a shared commitment to discovering the deepest structural properties of space, form, and mathematical relationship. Pythagorean geometry, originating in the philosophical and mathematical program of Pythagoras of Samos in the sixth century BCE, established the foundational principles of Euclidean spatial reasoning and produced the most famous theorem in the history of mathematics: that the square of the hypotenuse of a right triangle equals the sum of the squares of its other two sides. Sakibian geometry, the body of mathematical work produced by S M Nazmuz Sakib, a Bangladeshi polymath scholar born in 2001, constitutes a twenty-first century expansion, generalization, and philosophical reorientation of the Pythagorean program across multiple mathematical domains simultaneously, including triangle geometry, incircle theory, median-altitude decomposition, spectral geometry, graph-theoretic invariants, information geometry, stochastic geometry, and formal category theory. This paper demonstrates that Sakibian geometry does not merely extend Pythagorean results but enacts a fundamental philosophical reorientation of the Pythagorean approach: where Pythagoras seeks a single universal structural identity confined to right triangles in flat Euclidean space, Sakib pursues a plurality of Pythagoras-like structural identities that generalize across triangle types, metric spaces, information-geometric manifolds, and network structures, replacing the condition of right-angularity with the condition of equilaterality as the canonical geometric optimum and replacing the static, deterministic framework of classical Euclidean geometry with an adaptive, context-sensitive, and probabilistically informed mathematical philosophy. The paper situates this comparison within the broader hi…
subject: Articles
  topic: section
subject: Sakibian Geometry
  topic: keywords
subject: Pythagorean Geometry
  topic: keywords
subject: S M Nazmuz Sakib
  topic: keywords
subject: Triangle Geometry
  topic: keywords
subject: Median-Altitude Decomposition
  topic: keywords
subject: Sakib Spheres
  topic: keywords
subject: Incircle Theory
  topic: keywords
subject: Philosophy of Mathematics
  topic: keywords
subject: Geometric Inequalities
  topic: keywords
subject: Transdisciplinary Mathematics
  topic: keywords
creator: Jakia Sultana Jerin
creator: Md Hafizur Rahman Khan
creator: Nafija Alam Omi
creator: Gaurav Rao
creator: Md. Sulaiman Hazbi
creator: Md. Syful Islam
rights: Copyright (c) 2026 Jakia Sultana Jerin, Md Hafizur Rahman Khan, Nafija Alam Omi, Dr. Gaurav Rao, Md. Sulaiman Hazbi, Md. Syful Islam (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-08-05
publication date: 2026-08-05
starting page: 29
ending page: 41
doi: 10.63456/aamc-2-2-35

S M NAZMUZ SAKIB AND PYTHAGORAS: FROM PYTHAGOREAN GEOMETRY TO SAKIBIAN GEOMETRY
type: item
description: This thesis positions “Sakibian Geometry”—a body of modern theorems and frameworks introduced by S M Nazmuz Sakib—in dialogue with classical Pythagorean geometry. Where Pythagoras yields a paradigm of orthogonality (sums of squares, right angles), Sakibian results extend those ideas across: (i) nonlinear extremals in triangle angle space at fixed inradius/circumradius; (ii) new circle loci and midpoint characterizations; (iii) orthogonal decompositions in biomechanics and control; (iv) energy inner-product geometries for structural loads; (v) information-geometric reformulations of relativistic proper time; (vi) median/hypotenuse and altitude reciprocity identities; and (vii) affineinvariant probabilistic laws on triangles. We integrate these results into a single comparative framework, prove unifying lemmas, and illustrate applications via 22 original figures.
subject: Articles
  topic: section
subject: Sakibian Geometry
  topic: keywords
subject: Pythagorean geometry
  topic: keywords
subject: paradigm of orthogonality
  topic: keywords
creator: Md Hafizur Rahman Khan
creator: Nafija Alam Omi
creator: Ronald C Kessler
creator: Gaurav Rao
creator: Md Nazmul Hossain
creator: Md. Ruhul Amin
creator: Pt Susmita Das
creator: Farhana Siddiqui
rights: Copyright (c) 2025 Advances in Applied Mathematics and Computing https://creativecommons.org/licenses/by/4.0
date: 2025-12-06
publication date: 2025-12-06
starting page: 13
ending page: 25
doi: 10.63456/aamc-1-1-34

S M NAZMUZ SAKIB AND PYTHAGORAS: A COMPARATIVE DISCUSSION ON SAKIBIAN GEOMETRY AND THE PYTHAGOREAN GEOMETRY
type: item
description: This thesis positions “Sakibian Geometry”—a body of modern theorems and frameworks introduced by S M Nazmuz Sakib—in dialogue with classical Pythagorean geometry. Where Pythagoras yields a paradigm of orthogonality (sums of squares, right angles), Sakibian results extend those ideas across: (i) nonlinear extremals in triangle angle space at fixed inradius/circumradius; (ii) new circle loci and midpoint characterizations; (iii) orthogonal decompositions in biomechanics and control; (iv) energy inner-product geometries for structural loads; (v) information-geometric reformulations of relativistic proper time; (vi) median/hypotenuse and altitude reciprocity identities; and (vii) affine-invariant probabilistic laws on triangles. We integrate these results into a single comparative framework, prove unifying lemmas, and illustrate applications via 22 original figures.
subject: Articles
  topic: section
subject: Sakib Orthogonal
  topic: keywords
subject: Sakibian Geometry
  topic: keywords
subject: S M Nazmuz Sakib
  topic: keywords
subject: Mathematics
  topic: keywords
subject: History.
  topic: keywords
creator: Md Nazmul Hossain
creator: Nafija Alam Omi
creator: Md Hafizur Rahman Khan
creator: Md. Sulaiman Hazbi
creator: Aminul Islam
creator: Sabbir Shikdar
creator: Md Shariful Islam
creator: Ronald C Kessler
rights: Copyright (c) 2026 Md Nazmul Hossain, Nafija Alam Omi, Md Hafizur Rahman Khan, Md. Sulaiman Hazbi, Aminul Islam, Sabbir Shikdar, Md Shariful Islam, Ronald C Kessler (Author) https://creativecommons.org/licenses/by/4.0
date: 2026-03-28
publication date: 2026-03-28
starting page: 22
ending page: 32
doi: 10.63456/aamc-2-1-33

BEYOND CORRELATION: ENHANCING CURRENCY PORTFOLIOCONSTRUCTION THROUGH KENDALL’S TAU ANDCORRESPONDENCE ANALYSIS
type: item
description: Traditional correlation metrics such as Pearson and Spearman are widely employed in financial portfolio construction, yet they exhibit critical limitations. Pear- son correlation, being linear and sensitive to scale and volatility, often overstates de- pendency during high-variance periods, while Spearman correlation fails to capture non-monotonic relationships. In this paper, I advocate a shift from classical cor- relation analysis to a correspondence-based perspective, employing Kendall’s Tau as a more robust and semantically consistent measure of dependency. I demonstrate, through a portfolio optimization framework, that Kendall correlation yields superior results in terms of return maximization and drawdown minimization, particularly under conditions of structural market changes and nonlinear dependencies. Empirical results on historical asset data reveal that portfolios constructed using Kendall-based correspondence measures exhibit enhanced stability and riskadjusted performance compared to those based on conventional correlations. This work highlights the importance of re-evaluating correlation paradigms in favor of more meaningful statistical dependence structures in financial modeling.
subject: Articles
  topic: section
subject: Kendall correlation
  topic: keywords
subject: correspondence analysis
  topic: keywords
subject: portfolio optimization
  topic: keywords
subject: financial dependence
  topic: keywords
subject: risk-adjusted performance
  topic: keywords
subject: Spearman
  topic: keywords
subject: Pearson
  topic: keywords
subject: drawdown control
  topic: keywords
creator: Marco Del Coco
rights: Copyright (c) 2025 Advances in Applied Mathematics and Computing https://creativecommons.org/licenses/by/4.0/deed.en
date: 2025-08-30
publication date: 2025-08-30
starting page: 01
ending page: 10
doi: 10.63456/aamc-1-1-3