The timing (cross-)calibration of astronomical instruments is often done by comparing pulsar times-of-arrival (TOAs) to a reference timing model. In high-energy astronomy, the choice of solar system ephemerides and source positions used to barycenter the photon arrival times has a significant impact on the procedure, requiring a full reprocessing the data each time a new convention is used. Our method, developed as part of the activities of the International Astronomical Consortium for High Energy Calibration (IACHEC), adapts an existing pulsar solution to arbitrary JPL ephemerides and source positions by simulating geocentric TOAs and refitting timing models (implemented with PINT). We validate the procedure and apply it to thousands of observations of the Crab pulsar from 14 missions spanning 2002--2025, demonstrating inter-ephemeris TOA consistency at the $\lesssim5\,\mu$s level, using the DE200/FK5-based Jodrell Bank Monthly Ephemeris as a reference. We release open-source tools (TOAextractor) and a TOA database to support future calibration and scientific studies. Instrument timing performance is broadly consistent with mission specifications; the X-ray-to-radio phase offset varies with energy and time at a level that is marginally compatible with the uncertainties of the radio ephemeris, motivating coordinated multiwavelength follow-up.

Matteo Bachetti Yukikatsu Terada Megumi Shidatsu Craig B. Markwardt Yong Chen Weiwei Cui Giancarlo Cusumano Dawei Han Shumei Jia Chulsoo Kang Vinay L. Kashyap Lucien Kuiper Xiaobo Li Yugo Motogami Naoyuki Ota Simone Pagliarella Katja Pottschmidt Simon R. Rosen Arnold Rots Makoto Sawada Mutsumi Sugizaki Toshihiro Takagi Takuya Takahashi Toru Tamagawa Youli Tuo Yi-Jung Yang Marina Yoshimoto Juan Zhang

An improvised algorithm is proposed based on the work of Yoshimoto and Harada. The improvised algorithm results a graph which is called LDGC or Logarithmic Distribution Graph of Curvature. This graph has the capability to identify the beauty of monotonic planar curves with less effort as compared to LDDC by Yoshimoto and Harada.

R. U. Gobithaasan Jamaludin Md. Ali Kenjiro T. Miura

We identify complete monotonicity properties underlying a variety of well-known sharp Strichartz inequalities in euclidean space.

Jonathan Bennett Neal Bez Marina Iliopoulou

We prove upper and lower bounds for leading coefficient of Kolchin dimension polynomial of systems of partial linear differential equations in codimension two.

Marina Kondratieva

We deform a minimal disk in $\mathbb{R}^4$ with a branch point into symplectic minimally immersed disks with only transverse double points.

Marina Ville

It is pointed out that the generalized Lambert series $\displaystyle\sum_{n=1}^{\infty}\frac{n^{N-2h}}{e^{n^{N}x}-1}$ studied by Kanemitsu, Tanigawa and Yoshimoto can be found on page $332$ of Ramanujan's Lost Notebook in a slightly more general form. We extend an important transformation of this series obtained by Kanemitsu, Tanigawa and Yoshimoto by removing restrictions on the parameters $N$ and $h$ that they impose. From our extension we deduce a beautiful new generalization of Ramanujan's famous formula for odd zeta values which, for $N$ odd and $m>0$, gives a relation between $\zeta(2m+1)$ and $\zeta(2Nm+1)$. A result complementary to the aforementioned generalization is obtained for any even $N$ and $m\in\mathbb{Z}$. It generalizes a transformation of Wigert and can be regarded as a formula for $\zeta\left(2m+1-\frac{1}{N}\right)$. Applications of these transformations include a generalization of the transformation for the logarithm of Dedekind eta-function $\eta(z)$, Zudilin- and Rivoal-type results on transcendence of certain values, and a transcendence criterion for Euler's constant $\gamma$.

Atul Dixit Bibekananda Maji

For robots to become more versatile and expand their areas of application, their bodies need to be suitable for contact with the environment. When the human body comes into contact with the environment, it is possible for it to continue to move even if the positional relationship between muscles or the shape of the muscles changes. We have already focused on the effect of geometric deformation of muscles and proposed a drive system called wire-wound Muscle-Tendon Complex (ww-MTC), an extension of the wire drive system. Our previous study using a robot with a two-dimensional configuration demonstrated several advantages: reduced wire loosening, interference, and wear; improved robustness during environmental contact; and a muscular appearance. However, this design had some problems, such as excessive muscle expansion that hindered inter-muscle movement, and confinement to planar motion. In this study, we develop the ww-MTC into a three-dimensional shape. We present a fundamental construction method for a muscle exterior that expands gently and can be contacted over its entire surface. We also apply the three-dimensional ww-MTC to a 2-axis 3-muscle robot, and confirm that the robot can continue to move while adapting to its environment.

Yoshimoto Ribayashi Yuta Sahara Shogo Sawaguchi Kazuhiro Miyama Akihiro Miki Kento Kawaharazuka Kei Okada Masayuki Inaba

We proposed a haptic dial based on magnetorheological fluid (MRF) which enhances performance by increasing the MRF-exposed area through concave shaft and housing structure. We developed a breakout-style game to show that the proposed haptic dial allows users to efficiently interact with virtual objects.

Seok Hun Lee Yong Hae Heo Seok-Han Lee Sang-Youn Kim

We study normal state properties of an interacting Fermi gas in an isotropic harmonic trap of arbitrary dimensions. We exactly calculate the first-order perturbation terms in the ground state energy and chemical potential, and obtain simple analytic expressions of the total energy and chemical potential. At zero temperature, we find that Thomas-Fermi approximation agrees well with exact results for any dimension even though system is dilute and small, i.e. when the Thomas-Fermi approximation is generally expected to fail. In the high temperature (classical) region, we find interaction energy decreases in proportion to T^(-d/2), where T is temperature and d is dimension of the system. Effect of interaction in the ground state in two and three-dimensional systems is also discussed.

Hiroyuki Yoshimoto Susumu Kurihara

Effects of collective modes on thermoelectric properties of a charge density system is studied. We derive the temperature dependence of thermoelectric power and thermal conductivity by applying the linear response theory to Fr\"ohlich Hamiltonian. Energy dissipation has been attributed to non-linear interaction between phase mode and amplitude mode, ignoring disorder effects. We have found that the temperature dependence of the correlation function of electrical and heat currents is the same as that of electrical conductivity. This implies that thermoelectric power is inversely proportional to temperature. We have also found that temperature dependence of all the correlation functions are essentially determined by the common mechanism - nonlinear amplitude-phase interaction. Thermal conductivity has nearly constant value at the temperature above amplitude mode gap, and has exponentially low value at the temperature sufficiently below it.

Hiroyuki Yoshimoto Susumu Kurihara