Supported by Projects from Chongqing Municipal Science and Technology Commission(CSTB2022NSCQ-MSX0445)。
For the Sylvester continued fraction expansions of real numbers,FAN et al.(2007)proved that,for almost all real numbers,the nth partial quotient grows exponentially with respect to the product of the first n-1 partial...
Special Funds of the National Natural Science Foundation of China(T2341006).
Digitization is the inevitable path for the natural development of traditional Chinese medicine(TCM)in the context of the Fourth Industrial Revolution.The goal of TCM digitization is to generate intelligence from numb...
For decades, Lychrel numbers have been studied on many bases. Their existence has been proven in base 2, 11 or 17. This paper presents a probabilistic proof of the existence of Lychrel number in base 10 and provides s...
In order to more accurately detect the accuracy of word-wheel water meter digits, 2000 water meter pictures were produced, and an improved Faster-RCNN algorithm for detecting water meter digits was proposed. The impro...
supported by a startup fund from the Chinese Institute for Brain Research to H.Z.and W.-P.G.,the National Natural Science Foundation of China(82101059 to Y.Y.);the Research Funding from West China School/Hospital of Stomatology Sichuan University(RCDWJS2022-11 to Y.Y.).
Achieving uniform optical resolution for a large tissue sample is a major challenge for deep imaging.For conventional tissue clearing methods,loss of resolution and quality in deep regions is inevitable due to limited...
supported by the General Program of the National Natural Science Foundation of China(Grant No.61977029).
Generating realistic and synthetic video from text is a highly challenging task due to the multitude of issues involved,including digit deformation,noise interference between frames,blurred output,and the need for tem...
We analyze a problem of elastic collisions between elements of a system composed of two balls and a wall. Thanks to a change of variables, the problem is reduced to a sequence of reflections and rotations. Moreover, t...
Frequencies of the repeated integers of the first n digits of e.g. π utilizing commercial software are listed. The discrete distribution is utilized to evaluate its statistical moments. The distribution is fitted wit...
We analyze a problem of interactions between elements of an ideal system which consists of two point masses and a wall in a hyperbolic setting. Thanks to a change of variables, the problem is reduced to a sequence of ...
The Newcomb-Benford law, which describes the uneven distribution of the frequencies of digits in data sets, is by its nature probabilistic. Therefore, the main goal of this work was to derive formulas for the permissi...