Kajian Penambahan Gambir sebagai Bahan Penyamak Nabati terhadap Mutu Kimiawi Kulit Kambing

Gambier contains tannin which functions as vegetable tanning material. This study aimed to determine, the gambier addition to produces the best chemical quality leather according to Indonesian National Standard chemical quality goatleather (SNI 06-0463-1989). The method was used experimental method randomized block design, which consists of 5 treatments with 4 replications. Treatment of this study was added the gambier percentage (%), each treatment consisting of: treatment A: 15%, B: 20%, C: 25%, D: 30%, and E: 35%. The variables were measured water content, oil/fat content, water-soluble substances content, levels of substances rawhide, levels of insoluble ash in the water, levels of tanning substances (tannins) bound and the tanning degree. The results showed a significantly different effect (P 0.05) oil/fat content, ash content and levels of tanning substances (tannins) bound. The conclusion of this study was the addition of 25% was the best gambier percentage, with 17.06±0.15% water content, the fat/oil 7.69±1.24%, the levels of water-soluble substances 4.16±0.99%, levels of substances rawhide 42.47±6.39%, 0.99±0.03% levels of insoluble ash in the water, levels of tanning substances (tannins) bound 27.63±2.75% and 65.46% tanning degree, which all meet the quality standard ISO test 06-0994-1989 and SNI No.0253-2009

Composition Operators and Endomorphisms

If $b$ is an inner function, then composition with $b$ induces an endomorphism, $\beta$, of $L^\infty(\mathbb{T})$ that leaves $H^\infty(\mathbb{T})$ invariant. We investigate the structure of the endomorphisms of $B(L^2(\mathbb{T}))$ and $B(H^2(\mathbb{T}))$ that implement $\beta$ through the representations of $L^\infty(\mathbb{T})$ and $H^\infty(\mathbb{T})$ in terms of multiplication operators on $L^2(\mathbb{T})$ and $H^2(\mathbb{T})$. Our analysis, which is based on work of R. Rochberg and J. McDonald, will wind its way through the theory of composition operators on spaces of analytic functions to recent work on Cuntz families of isometries and Hilbert $C^*$-modules

Multiplication and Composition in Weighted Modulation Spaces

We study the existence of the product of two weighted modulation spaces. For this purpose we discuss two different strategies. The more simple one allows transparent proofs in various situations. However, our second method allows a closer look onto associated norm inequalities under restrictions in the Fourier image. This will give us the opportunity to treat the boundedness of composition operators.Comment: 49 page

Rigidity and Non-recurrence along Sequences

Two properties of a dynamical system, rigidity and non-recurrence, are examined in detail. The ultimate aim is to characterize the sequences along which these properties do or do not occur for different classes of transformations. The main focus in this article is to characterize explicitly the structural properties of sequences which can be rigidity sequences or non-recurrent sequences for some weakly mixing dynamical system. For ergodic transformations generally and for weakly mixing transformations in particular there are both parallels and distinctions between the class of rigid sequences and the class of non-recurrent sequences. A variety of classes of sequences with various properties are considered showing the complicated and rich structure of rigid and non-recurrent sequences

Middle Aging in Women: Patterns of Personality Change from the 30s to the 50s

This three-sample study focused on changes in four key features of women's personalities (identity, generativity, confident power, and concern about aging) over the course of middle age. Based on women's retrospective and concurrent feelings about their lives in their 30s, 40s, and 50s, scales were developed and validated for the four themes. We found that identity certainty, generativity, confident power, and concern about aging all were experienced as more prominent in middle age (the 40s) than in early adulthood (the 30s). We also found that these elements of personality were rated even higher in the 50s than the 40s. Scores seemed to be a function of age more than historical period or particular experiences in social roles. Scores on identity certainty, generativity, and confident power were positively related to well-being, while concern about aging was negatively related to well-being.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/44636/1/10804_2004_Article_228798.pd

The Dirichlet-to-Robin Transform

A simple transformation converts a solution of a partial differential equation with a Dirichlet boundary condition to a function satisfying a Robin (generalized Neumann) condition. In the simplest cases this observation enables the exact construction of the Green functions for the wave, heat, and Schrodinger problems with a Robin boundary condition. The resulting physical picture is that the field can exchange energy with the boundary, and a delayed reflection from the boundary results. In more general situations the method allows at least approximate and local construction of the appropriate reflected solutions, and hence a "classical path" analysis of the Green functions and the associated spectral information. By this method we solve the wave equation on an interval with one Robin and one Dirichlet endpoint, and thence derive several variants of a Gutzwiller-type expansion for the density of eigenvalues. The variants are consistent except for an interesting subtlety of distributional convergence that affects only the neighborhood of zero in the frequency variable.Comment: 31 pages, 5 figures; RevTe