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  1. No Access

    Article

    Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers

    Recently, Sun posed a number of conjectures on the relations between sums of squares and sums of triangular numbers. Some of these conjectures were confirmed by Baruah, Kaur, Kim, Yao, **a and Zhong. In this p...

    Olivia X. M. Yao, Eric H. Liu, Min Bian in The Ramanujan Journal (2022)

  2. No Access

    Article

    Ranks, cranks for overpartitions and Appell–Lerch sums

    The definitions of the rank and crank for overpartitions were given by Bringmann, Lovejoy and Osburn. Let \(\overline{N}(s,l;n)\) ...

    Min Bian, Houqing Fang, **ao Qian Huang, Olivia X. M. Yao in The Ramanujan Journal (2022)

  3. No Access

    Article

    Proofs of some conjectures on the reciprocals of the Ramanujan–Gordon identities

    Recently, Lin and Wang introduced two special partition functions \(RG_1(n)\) R ...

    Min Bian, Dazhao Tang, Ernest X. W. **a, Fanggang Xue in The Ramanujan Journal (2021)

  4. No Access

    Article

    Robust and reliable estimation via recursive nonlinear dynamic data reconciliation based on cubature Kalman filter

    Since measurements of process variables are subject to measurements errors as well as process variability, data reconciliation is the procedure of optimally adjusting measured date so that the adjusted values ...

    Min Bian, Jianlin Wang, Weimin Liu, Kepeng Qiu in Cluster Computing (2017)

  5. No Access

    Article

    An improved method of simultaneous determination of four bioactive compounds in Evodiae Fructus using ionic liquids as mobile phase additives in high performance liquid chromatography

    There are many compounds with different structures and chemical properties in Evodiae Fructus. It is hard to simultaneously determine the bioactive compounds by high performance liquid chromatography(HPLC). A ...

    Min Bian, Ling Tian, Cheng Yao in Chemical Research in Chinese Universities (2017)