in this paper we introduce the notion of classical quasi-primary submodules that generalizes the concept of classical primary submodules. then, we investigate decomposition and minimal decomposition into classical quasi-primary submodules. in particular, existence and uniqueness of classical quasi-primary decompositions in finitely generated modules over noetherian rings are proved. moreover, w...

this article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. we present a concrete formulation for the frobenius norm of the classical wavelet transforms over finite fields. it is shown that each vector defined over a finite field can be represented as...

As a digestive tract disease, ulcerative colitis is recurrent and refractory, which often makes western medicine helpless, while traditional Chinese treatment shows better clinical efficacy, lower toxic side effects, the recurrence rate very low. Classical prescriptions generally refer to in Treatise on Febrile Diseases synopsis of Golden Chamber written by Zhang Zhongjing, physician Eastern Ha...

A 30-year-old healthy man came to our hospital with complaints of red, hot, and painful upper extremities which spontaneously appeared. These manifestations worsened with exercises and heat, but were alleviated by rest and cooling of the hands. There were 2 similar previous episodes of short duration. The patient was a healthy, non-alcoholic, non-smoker with no history of using medicine. ...

regenerative medicine provides substitutes for organ transplantation, which is restricted in applicability due to immune responses against allograft and the large discrepancy between the need for organs and the number of available transplantation. an artificial environment is allowing cells to induce tissue regeneration. growth factors (gfs) play a significant role in the cell fates in their mi...