Results 101 to 110 of about 575,106 (294)
On a Partition Function of Richard Stanley [PDF]
The Electronic Journal of Combinatorics, 2004 In this paper, we examine partitions $\pi$ classified according to the number $r(\pi)$ of odd parts in $\pi$ and $s(\pi)$ the number of odd parts in $\pi\prime$, the conjugate of $\pi$. The generating function for such partitions is obtained when the parts of $\pi$ are all $\leq N$. From this a variety of corollaries follow including a Ramanujan type
openaire +2 more sources
FEBS Open Bio, EarlyView.Matrix metalloproteinase‐9 (MMP9) drives ovarian cancer progression. Using MMP9‐null cells (M9‐KO) created from ovarian cancer cells, we found MMP9 loss did not block Epidermal Growth Factor (EGF)‐driven E‐cadherin dissolution or EMT but delayed and reduced EGF‐driven membrane protrusions. Transient MMP9 re‐expression drove membrane protrusion.
Claire Strauel +8 more
wiley +1 more source
FEBS Open Bio, EarlyView.Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
wiley +1 more source
Domain wall partition functions and KP
, 2009 We observe that the partition function of the six vertex model on a finite square lattice with domain wall boundary conditions is (a restriction of) a KP tau function and express it as an expectation value of charged free fermions (up to an overall ...
Baxter R J +11 more
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Why human connection is the true metric of research success
FEBS Open Bio, EarlyView.Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
2D CFT partition functions at late times
Journal of High Energy Physics, 2017 We consider the late time behavior of the analytically continued partition function Z(β + it)Z(β − it) in holographic 2d CFTs. This is a probe of information loss in such theories and in their holographic duals.
Ethan Dyer, Guy Gur-Ari
doaj +1 more source
FEBS Open Bio, EarlyView.Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
Constraints on flavored 2d CFT partition functions
Journal of High Energy Physics, 2018 We study the implications of modular invariance on 2d CFT partition functions with abelian or non-abelian currents when chemical potentials for the charges are turned on, i.e. when the partition functions are “flavored”.
Ethan Dyer +2 more
doaj +1 more source
FEBS Open Bio, EarlyView.KIF26B plays an important role in kidney development. We engineered mice lacking the C‐terminal region of KIF26B and found severe kidney defects, including bilateral renal agenesis, similar to full Kif26b knockout mice. The mutation disrupted nephron progenitor condensation and reduced Gdnf‐Wnt11 signaling, showing that the KIF26B C‐terminal region is ...
Yuta Yamamura +19 more
wiley +1 more source
Partition Identities for Ramanujan's Third Order Mock Theta Functions
, 2010 We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions $\phi(-q)$ and $\psi(-q)$. We also give an involution for Fine's partition identity on the mock theta function f(q).
Chen, William Y. C. +2 more
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