Results 61 to 70 of about 37,974 (263)
On the Ramanujan–Lodge harmonic number expansion
Applied Mathematics and Computation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cristinel Mortici, Mark B. Villarino
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Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Molecular Oncology, EarlyView.Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
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Abel's Lemma and Identities on Harmonic Numbers
Integers, 2014 Recently, Chen, Hou and Jin used both Abel's lemma on summation by parts and Zeilberger's algorithm to generate recurrence relations for definite summations. Meanwhile, they proposed the Abel-Gosper method to evaluate some indefinite sums involving harmonic numbers.
Hai-Tao Jin, Daniel K. Du
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Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
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Molecular Oncology, EarlyView.Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
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Certain Mathematical Constants Associated with Harmonic Numbers and Higher-Dimensional Harmonic Sums
MathematicsThe Euler–Mascheroni constant γ, defined as the limiting difference between the harmonic numbers Hn and logn, has long been studied and appears in diverse areas of number theory, analysis, and special functions.
Junesang Choi
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Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae
FEBS Open Bio, EarlyView.Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj +3 more
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Some Sums Involving Generalized Harmonic and r-Derangement Numbers
Cumhuriyet Science JournalIn this paper, we derive some sums involving generalized harmonic and r-derangement numbers by using generating functions of these numbers and some combinatorial identities. The relationship between Daehee numbers and generalized harmonic numbers of rank
Sibel Koparal
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FEBS Open Bio, EarlyView.Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
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Formulae concerning multiple harmonic-like numbers [PDF]
Contributions to Mathematics, 2023 Yulei Chen, Dongwei Guo
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