https://cis.temple.edu/~wu/research/publications/Publication_files/ICDE2024_Xu.pdf
Similar to Lemma 1, we can also prove that the mapping satisfies the assumptions (H1-H5) in [37]. Next, given this contraction mapping, there exists a unique fixed-point based on the fixed-point theorem, i.e., the fixed point can be found by initializing the iterations with an arbitrary point.
https://cst.temple.edu/sites/cst/files/theses1/bao.pdf
53028q3 + 262144q4 5556930q5 + O(q6): The eigenbasis that spans the old subspace is given by = g3 (z)E8(z) = q + 456q2 + 50652q3 316352q4 2377410q5 + O(q6) = g4 (2z)E8(2z) = q2 + 456q4 + O(q6):
https://dabi.temple.edu/external/zoran/papers/Dunker_TPT.pdf
For ordered protein, the ensemble members all have the same time-averaged canonical set of Ramachandran angles along their backbones. For intrinsically disordered protein, the ensemble members have different (and typically dynamic) Ramachandran angles. Such disorder has been characterized by a variety of methods including x-ray crystallography, NMR spectroscopy, CD spectroscopy, and protease ...
https://ira.temple.edu/sites/ira/files/Temple%20University%20CDS-2024-2025-v2.pdf
H5. Number and percent of students in class (defined in H4 above) borrowing from federal, non-federal, and any loan sources, and the average (or mean) amount borrowed.