We study the intersection of finitely generated subgroups of free groups by utilizing the method of linear programming. We prove that if H1 is a finitely generated subgroup of a free group F , then the Walter Neumann coefficient σ(H1) of H1 is rational and can be computed in deterministic exponential time of size of H1. This coefficient σ(H1) is a minimal nonnegative real number such that, for ...

The relaxed micromorphic model is a generalized continuum that reduces the complexity of general theory [1] and shows many advantages such as bounded stiffness for small sizes [2–4]. It keeps full kinematics but employs matrix Curl operator second-order micro-distortion field curvature measurement. solution exists in H(curl) while displacement still H1. In this work, we introduce an H1 × finite...

Let M be a complete, finite-volume, orientable hyperbolic manifold having exactly one cusp. If we assume that π1(M) has no subgroup isomorphic to a genus-2 surface group, and that either (a) dimZp H1(M ;Zp) ≥ 5 for some prime p, or (b) dimZ2 H1(M ;Z2) ≥ 4, and the subspace of H(M ;Z2) spanned by the image of the cup product H (M ;Z2) × H(M ;Z2) → H(M ;Z2) has dimension at most 1, then volM > 5....

Let M be a complete, finite-volume, orientable hyperbolic manifold having exactly one cusp. If we assume that π1(M) has no subgroup isomorphic to a genus-2 surface group, and that either (a) dimZp H1(M ;Zp) ≥ 5 for some prime p, or (b) dimZ2 H1(M ;Z2) ≥ 4, and the subspace of H(M ;Z2) spanned by the image of the cup product H(M ;Z2) × H(M ;Z2) → H(M ;Z2) has dimension at most 1, then volM > 5.0...

H1 linker histones are highly abundant proteins that compact nucleosomes and chromatin to regulate DNA accessibility and transcription. However, the mechanisms that target H1 regulation to specific regions of eukaryotic genomes are unknown. Here we report fluorescence measurements of human H1 regulation of nucleosome dynamics and transcription factor (TF) binding within nucleosomes. H1 does not...

The synergism between H1- and H2-receptors in the histamine-induced stimulation of cAMP accumulation was studied in slices from guinea pig hippocampus. Since H1-receptors appear to be coupled to the phosphatidylinositol cycle, the participation of the two branches of the cycle in this synergism was assessed by using phorbol esters and/or by removing Ca2+ from the external medium. The protein ki...

PURPOSE Release of inhibitory coregulatory proteins into the circulation may represent one mechanism by which tumors thwart immune responses. Our objective was to determine whether soluble B7-H1 (sB7-H1) levels in patients with clear cell renal cell carcinoma (ccRCC) are associated with pathologic features and patient outcome. EXPERIMENTAL DESIGN We developed an ELISA for quantification of sB...

In addition to readily identifiable TATA and CAAT boxes, chicken H1 histone genes contain a highly conserved G-rich region at about minus 80 and an A-rich H1 histone gene-specific motif some 120 bases upstream from the H1 mRNA cap site. The level of transcription from wild-type, 'G-box' and 'A-box' H1 deletion mutant templates was tested in Xenopus oocytes and in HeLa cells. Removal of the H1 g...

This paper is an addendum to [4], in which the authors constructed a simply connected minimal complex surface of general type with pg = 0 and K 2 = 3. Motivated by Y. Lee and the second author’s recent construction on a surface of general type with pg = 0, K 2 = 2 and H1 = Z/2Z [3], we extend the result to the K = 3 case in this paper. That is, we construct a new non-simply connected minimal su...