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For any positive integer $n$, define an iterated function $$ f(n)=\left\{\begin{array}{ll} n/2, & \mbox{$n$ even,} \\ 3n+1, & \mbox{$n$ odd.} \end{array} \right. $$ Suppose $k$ (if it exists) is the lowest number such that $f^{k}(n)
Yu, Yuyin, Pei, Dingyi
openaire +2 more sources
Beyond goniometry: 3D digital twinning of droplets from a single image
We present a method to produce physics‐informed three‐dimensional digital twins of droplets from a single image for wettability analyses. We validate the method with goniometry and demonstrate its capabilities with advancing‐receding contact angle measurements, irregularly shaped droplets, and multi‐droplet systems, indicating strong potential for in ...
Isaac Berk, Emilie Luong, H. Jeremy Cho
wiley +1 more source
A biomimetic artificial cell model platform integrating in situ synthetic biology is developed, which can show antitumor drug response to simulated cells derived from cell membranes of different tumor cells. It has excellent performance in indicating the curative effect of drugs at the cellular level and provides a novel approach for enhancing the ...
Chaoyang Guan +9 more
wiley +1 more source
Benford's law, values of L-functions and the 3x+1 problem [PDF]
We show the leading digits of a variety of systems satisfying certain conditions follow Benford's Law. For each system proving this involves two main ingredients. One is a structure theorem of the limiting distribution, specific to the system. The other is a general technique of applying Poisson Summation to the limiting distribution.
Kontorovich, Alex V., Miller, Steven J.
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Calyx and epicalyx morphology in Indian Hibiscus (Malvaceae) and its taxonomic importance
Hibisceae is one of the largest tribes in Malvaceae, having a diverse floral morphology. The genus Hibiscus shows a wide range of evolutionary patterns in calyx and epicalyx morphology. Genera like Abelmoschus, Azanza, Gossypium, Hibiscus,and Thespesia are separated on the basis of calyx and epicalyx morphology, meaning that the calyx and epicalyx have
Jagdish Vishnu Dalavi +1 more
wiley +1 more source
Reconstructing a set from its subset sums: $2$-torsion-free groups
A famous conjecture in graph theory, asked by Kelly (1957) and Ulam (1960) and now known as the reconstruction conjecture, states that every graph with $n\geq 3$ vertices is determined up to isomorphism by the multiset of induced subgraphs with $n-1 ...
Federico Glaudo, Noah Kravitz
doaj +1 more source
Hemophilia A: An Ideal Disease for Prenatal Therapy
ABSTRACT Hemophilia A (HA) is the most common inherited coagulation defect. Current state‐of‐the‐art treatment consists of frequent administration of prophylactic infusions of coagulation factor VIII (FVIII) protein or bispecific antibodies that replace the cofactor function of FVIIIa to maintain hemostasis. However, these treatments are far from ideal,
Christopher D. Porada +2 more
wiley +1 more source
ABSTRACT Mechanical properties are a critical performance metric for many high explosive (HE) materials and tensile strength properties are particularly important. Direct tensile measurements using dogbone shaped samples are the gold standard but they have the disadvantage that they are fairly large and require samples machined from billets.
Paul B. Mirkarimi
wiley +1 more source
Network Latency Estimation for Telesurgery Using Deep Reinforcement Learning
Overview of the proposed two‐stage deep reinforcement learning framework for network latency prediction in telesurgery. The pipeline includes data collection from simulated catheter navigation sessions (Philippines–Botswana), feature engineering, DQN‐based direction prediction (85.8% accuracy), direction‐to‐value transformation, and value forecasting ...
Bakang Kgopolo +2 more
wiley +1 more source

