Chini

The dried roots are ground to make powder which is used in low doses. Its primary action is of mild purgation. But it has also astringent property, so that its secondary effect is to prevent the bowels. The roots of the plant are used both internally, and externally. It is bitter, pungent, and reduces Vata – Kapha, but increases pitta. Revand chini works mainly on plasma, blood, and fat. Revand Chini, when chewed produce yellow color, and have gritty-bitter taste. It imparts yellow color to the urine, which is harmless. Externally they are used for cleaning teeth, and sprinkled over ulcers for quick healing. For freckle, and other skin marks, the paste of roots with vinegar is applied topically on the affected parts. In Melasma झाई the root powder is mixed in milk, and applied. General Information Rheum emodi is a stout herb found in the Himalayan region. It is a leafy perennial herb of 1.5-3.0 m in height. It has large radical leaves. The leaves are edible, and eaten as vegetable. It bears ovoid-oblong, 13 mm long, purple fruits. The roots, and rhizomes are the main parts used as drug, and are collected in October to November. Scientific Classification The botanical name of Indian Rhubarb / Revand chini is Rheum emodi. It belongs to plant family Polygonaceae. Below is given taxonomical classification of the plant. • Kingdom: Plantae – Plants • Subkingdom: Tracheobionta – Vascular plants • Superdivision: Spermatophyta – Seed plants • Division: Magnoliophyta – Flowering pla...

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Solve the initial value problem $$u''(t)+u'(t)=\sin u(t)$$ with initial conditions $u(0)=1,u'(0)=0$, and hence show that $u(t),u'(t)$ is bounded for all $t>0$. Find $\displaystyle\lim_$$ which (after a thorough search online) I identified as a particular form of $C=\sec u$, which is not independent of $u$ and hence can not be solved easily. I wonder whether this equation is solvable by any form of algebraic transformation or not. In case this equation is not solvable analytically, or at least in some closed form, how to check for boundedness of the solution? Any help is appreciated. You can treat this as a mechanical problem with friction force $-u'$ and potential force $\sin u$ relating to a potential function $P(u)=1+\cos(u)$. From this mechanical point-of-view it should be intuitive that the system will shed energy until it comes to rest at one of the minima $P(u)=0$, $u=\pi+2k\pi$, $k\in\Bbb Z$, of the potential function. This also implies the boundedness. You can make this exact by using the sum of kinetic and potential energy as Lyapunov function.

Biography Dr. Chini received her PhD in Physics from Kansas State University in 2010. She joined UCF in 2011 where she has served in a number of roles, including the first Director of Learning Assistant Program. She became an Assistant Professor in 2015 and in 2020 an Associate Professor . Dr. Chini conducts research in physics education and is PI and co-PI on several NSF-funded projects. Additionally, she works with the APS PhysTEC and Bridge Programs at UCF. • • • • • Publications 2016 “Quicker Method for Assessing Influences on Teaching Assistant Buy-in and Practices in Reformed Courses,” Matthew Wilcox, Yuehair Yang, and Jacquelyn J. Chini ( “Learning from Avatars: Learning Assistants Practice Physics Pedagogy in a Classroom Simulator,” Jacquelyn J. Chini, Carrie L. Straub and Kevin H. Thomas, Physical Review Physics Education Research 12, 010117 (2016) ( 2012 “Exploration of Factors that Affect the Comparative Effectiveness of Physical and Virtual Manipulatives in an Undergraduate Laboratory,” Jacquelyn J. Chini, Adrian Madsen, Elizabeth Gire, N. Sanjay Rebello and Sadhana Puntambekar, Physical Review Special Topics Physics Education Research 8, 010113 (2012) REFEREED CONFERENCE PROCEEDINGS 2015 “Exploring Student Learning Profiles in Algebra-based Studio Physics: A Person-centered Approach,” Jarrad W. T. Pond and Jacquelyn J. Chini, Proceedings of the 2015 Physics Education Research Conference, July 29-30, 2015, College Park, MD. ( “Observing Teaching Assistant Diffe...