112 research outputs found

    Collatz Convergence Proof (A Structural Resonance Approach) - Author 'HyunJun Yang(aka LOEN)'

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    This project presents a structural proof of the Collatz Conjecture by decomposing its arithmetic into a resonance model of Mersenne numbers and binary reduction cycles. The variables ‘karma (k)’ and ‘residue (r)’ represent division steps and final convergence. Through reverse induction, the structure inherently leads to 1, revealing a deeper pattern of convergence both mathematically and socio-structurally. Author: HyunJun Yang (aka LOEN) Republic of Korea for Freedom Contact: aun0731 [at] gmail [dot] com Original link : https://zenodo.org/records/1561774

    Strong enhancement of room-temperature thermoelectric properties of Cu-doped Bi2Te2.7Se0.3

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    We investigate thermoelectric properties of Cu-doped Bi2Te2.7Se0.3 fabricated using a simple doping process and spark plasma sintering. Through precise control of Cu doping, it is found that Cu atoms preferentially occupied Bi sites and then intercalated into the van der Waals gap with an increasing Cu content. Electrical transport properties of Cu-doped samples were systemically controlled using this mechanism. At the same time, thermal conductivities of the Cu-doped samples were reduced by the enhancement of point defect phonon scattering due to the Cu atoms. Compared to that of pristine samples, the dimensionless thermoelectric figure of merit ("ZT") of 0.98 at 323 K for the Cu-doped sample was increased by more than 92% owing to these synergetic effects. Furthermore, the shift of maximum ZT to room temperature provides advantages for enlarging the applications of thermoelectric effects at room temperature. © 2022 Author(s).1

    6 Colors Are Enough: Resolving the Infinite Plane Through Logical Decomposition - Author 'HyunJun Yang(aka LOEN)'

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    This project presents a structural resolution of the Hadwiger–Nelson problem using binary logic and RGB decomposition. The conclusion asserts that six distinct color codes are sufficient to ensure no two points at unit distance share the same color. Originally authored by HyunJun Yang (aka LOEN), this manuscript integrates philosophical and logical reasoning with a dimensional interpretation of color information. E-mail : aun0731 [at] gmail [dot] co

    The development of a PZT-based microdrive for neural signal recording

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    A hand-controlled microdrive has been used to obtain neural signals from rodents such as rats and mice. However, it places severe physical stress on the rodents during its manipulation, and this stress leads to alertness in the mice and low efficiency in obtaining neural signals from the mice. To overcome this issue, we developed a novel microdrive, which allows one to adjust the electrodes by a piezoelectric device (PZT) with high precision. Its mass is light enough to install on the mouse's head. The proposed microdrive has three H-type PZT actuators and their guiding structure. The operation principle of the microdrive is based on the well known inchworm mechanism. When the three PZT actuators are synchronized, linear motion of the electrode is produced along the guiding structure. The electrodes used for the recording of the neural signals from neuron cells were fixed at one of the PZT actuators. Our proposed microdrive has an accuracy of about 400 nm and a long stroke of about 5 mm. In response to formalin-induced pain, single unit activities are robustly measured at the thalamus with electrodes whose vertical depth is adjusted by the microdrive under urethane anesthesia. In addition, the microdrive was efficient in detecting neural signals from mice that were moving freely. Thus, the present study suggests that the PZT-based microdrive could be an alternative for the efficient detection of neural signals from mice during behavioral states without any stress to the mice.This research has been supported by the 21st Century Frontier R&D Projects (the Intelligent Microsystem Center) and the Next Generation New Technology Development Programs (No. 10030037) from the Korea Ministry of Commerce, Industry and Energy
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