National Kaohsiung University of Science and Technology

Arbitrarily Long Increasing and Decreasing Runs in ⌊n^(p_n/n)⌋

Let \(p_n\) denote the \(n\)th prime and define\[A_n=\left\lfloor n^{p_n/n}\right\rfloor.\]OEIS A318199 records the conjecture that no consecutive strictly increasing run contains more than 17 terms. Introducing \(B_n=n^{p_n/n}\) and \(g_n=p_{n+1}-p_n\), we derive the exact ident...

A simple reverse current blocking circuit

When the direction of system current is opposite to the normal operating direction, it is called reverse current. Causes include reverse battery connection, multiple power supply parallel connection, the car starting process, etc. For example, in a battery application, if the bat...

From bad to worse: customer mistreatment and service sabotage across encounters

Purpose Customer mistreatment is a significant issue in both practical and academic contexts, especially in the service industry. Drawing on the stressor–emotion model, this study aims to use a sequential two-encounter field design to test the lagged effects of customer mistreatm...

Packaging Design and Characterization of a 16-Channel Silicon Photonic Transmitter Module for a 1.6 Tb/s-Class Optical Engine

The increasing bandwidth demand of artificial-intelligence computing and data-center interconnects has driven silicon photonic optical engines toward higher capacity, compact packaging, and improved scalability. This work presents the packaging design and characterization of a co...

Valorization of Soybean Meal: From Conventional Feed Ingredient to Multifunctional Protein Resource for Food, Biotechnology, and Sustainable Applications

Soybean meal (SM) is a by-product of soybean oil extraction and represents one of the most abundant and economically important plant-derived protein resources worldwide. Traditionally utilized as a primary protein ingredient in animal feeding systems, SM has gained increasing att...

Thermoelectric Performance Enhancement in Off-Stoichiometric Ag–Se Alloys via Composition Imbalance and Vacancy Suppression

Abstract This study investigates the thermoelectric performance of off-stoichiometric Ag–Se alloys through composition-imbalance engineering. By varying the Ag-to-Se ratio, we successfully tuned the carrier concentration and mobility by suppressing Se-vacancy formation and reduci...

FedPerKD privacy aware personalized federated learning with knowledge distillation for edge oriented tomato leaf disease detection

Abstract Tomato leaf diseases threaten global food security by reducing crop yield and quality. Centralized deep-learning detectors require farms to share raw images, which raises privacy, bandwidth, and data-sovereignty concerns. We present FedPer-KD, a privacy-aware federated f...

Evolution of sideways locomotion in crabs.

The evolutionary change in the mode of locomotion is often a major evolutionary event, triggering diversification. Sideways locomotion is a defining feature of true crabs (Brachyura) and may have contributed to their ecological success. Yet, the evolutionary origin of this unique...

Enhancing Protection Coordination Robustness in DER-Rich Grids Through Deep Learning-Based Preventive Relay Setting Calibration

The increasing penetration of distributed energy resources (DERs) introduces significant operational uncertainties, challenging the reliability and robustness of conventional protection coordination in distribution networks. Traditional optimization methods can obtain high-qualit...

The Read-Once Factorial-Divisibility Conjecture: Algebraic Proofs Through Six Inputs

We formulate the division-free read-once factorial-divisibility conjecture for pairwise distinct integers. Using congruence arguments, signed residue classes, parity decompositions, and disjoint block constructions, we prove the conjecture algebraically for all input sizes 1≤n≤6....

A new genus and species of hagfish from Vietnam: A transitional lineage between Rubicundinae and Myxininae (Craniata: Myxiniformes)

Abstract Dolichostomus leucotaenia gen. et sp. nov. is described from two specimens collected from off northern Vietnam. It is characterized by a long, oval mouth opening visible from the ventral view, a feature unique among the order Myxiniformes. It also possesses a single medi...

The Read-Once Factorial-Divisibility Conjecture: Algebraic Proofs Through Six Inputs

We formulate the division-free read-once factorial-divisibility conjecture for pairwise distinct integers. Using congruence arguments, signed residue classes, parity decompositions, and disjoint block constructions, we prove the conjecture algebraically for all input sizes 1≤n≤6....

The Read-Once Factorial-Divisibility Conjecture: Algebraic Proofs Through Six Inputs

We formulate the division-free read-once factorial-divisibility conjecture for pairwise distinct integers. Using congruence arguments, signed residue classes, parity decompositions, and disjoint block constructions, we prove the conjecture algebraically for all input sizes 1≤n≤6....

A Hybrid Multi‐Phase DEA Window‐ GRA Approach to Assessing the Dynamic Performance and Environmental Trade‐Offs of the Container Shipping Industry

ABSTRACT The global container shipping industry underwent significant transformations from 2016 to 2023, shaped by post‐Hanjin bankruptcy consolidation, COVID‐19 disruptions, and the onset of mandatory decarbonization. Throughout these phases, container shipping lines (CSLs) had...