Recently, George Beck introduced two partition statistics NT(m, j, n) and $$M_{\omega }(m,j,n)$$ , which denote the total number of parts in n with rank congruent to m modulo j ones crank respectively. Andrews proved a congruence on 5, was conjectured by Beck. Very recently, Chan, Mao Osburn established Andrews–Beck type congruences posed several conjectures involving . Some those were Chern Ma...

We present a case of Kashin-Beck Disease primarily affecting the ankles. Our findings are consistent with other reports of the symptoms, incidence, and progression of these diseases. At this time, our patient has chosen conservative treatment, but is considering eventual osteoarticular allografts. According to the available literature, surgical treatment is the only option that will not only al...