Star formation and quenching are two of the most important processes in galaxy evolution. We explore local Universe interrelationships among key integrated properties, including stellar mass $M_*$, star rate (SFR), specific SFR (sSFR), molecular gas $M_{\rm H_2}$, efficiency (SFE) to ratio $\mu$. aim identify fundamental scaling relations these properties their interrelationships. show H_2}$-SF...

3D (3 dimensional) Young diagrams are a generalization of 2D diagrams. In this paper, We consider Bosons and 3-Jack polynomials. associate three parameters $h_1,h_2,h_3$ to $y,x,z$-axis respectively. polynomials $P_{n,j}, n\geq j$ with coefficients in $\mathbb C(h_1,h_2,h_3)$, which the Schur functions Jack case. Similar functions, can also be determined by vertex operators Pieri formulas.

The propagation of dam-break waves on different rough beds was observed to be quasi-steady in the range $11.3 < x/h_{dam} 18.8$ , where $x$ is measured from dam position. These speeds converge with steady ideal fluids model Stoker ( Water Waves 1957, Interscience) when tailwater depth $h_2$ becomes greater than ${\sim }0.5k_s$ $0.001< k_s/h_{dam}< 0.2$ $k_s$ roughness and $h_{dam}$ beh...

We use ALMA observations of CO(2-1) in 13 massive ($M_{\star}\gtrsim 10^{11} M_{\odot}$) post-starburst galaxies at $z\sim0.6$ to constrain the molecular gas content shortly after they quench their major star-forming episode. The this study are selected from Sloan Digital Sky Survey spectroscopic samples (DR14) based on spectral shapes, as part SQuIGGLE program. Early results showed that two ho...

We prove that the number of fractions $$h_1/h_2$$ integers $$h_1,h_2$$ a subset $$\mathcal {A}\subset \mathcal {H}\cap [1,X]$$ is at least $$ \alpha X/(\log X)^{3/2}$$ , where {H}$$ set $$p-1$$ p being prime such $$p+1$$ sum two coprime squares. So, this $$\gg _\varepsilon ^{1+\varepsilon }|\mathcal {A}|^2$$ $$\varepsilon any positive real number. take opportunity to describe geometrical view s...

In this paper we present an attempt to estimate the redshift evolution of molecular neutral gas mass ratio within galaxies (at fixed stellar mass). For a sample five nearby grand design spirals located on Main Sequence (MS) star forming galaxies, exploit maps at 500 pc resolution and formation rate ($M_{\star}$ SFR). same cells, also have estimates ($M_{\rm HI}$) H_2}$) masses. To compute two r...

Abstract Consider two half-spaces $$H_1^+$$ H 1 + and $$H_2^+$$ 2 in $${\mathbb {R}}^{d+1}$$ R d whose bounding hyperplanes $$H_1$$ </mml:m...