The Cabbage Field.

The painting represents a figure bending over to attend the plants in a cabbage field, probably the artist's summer house in Wannsee outside Berlin, where he did most of his work after 1922.

Portrait of Benjamin Liebermann

This large ambitious painting is one of Liebermann's earliest. His uncle, the Geheime Kommerzienrat (Privy Councillor) Benjamin Liebermann (1847-1935), is elderly and slim, but erect and proudly wearing his honorary business medals, has his left hand on his hip, while his right hand rests on the back of a red velvet chair. He is wearing long sideburns and whiskers. The background is plain. The style is tight and painstaking, but already exhibits Liebermann's preference for visible, impasto brushstrokes. The emphasis is on the face, with no attempt at idealization of the akward, but strong features. The colors are mainly black and brown.

Portrait of a Woman.

A lady about 30 to 40 years old, dressed in a white dress is shown holding two roses up to her left shoulder in her right hand.

Acyclic edge coloring of subcubic graphs

An acyclic edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The acyclic chromatic index of a graph is the minimum number k such that there is an acyclic edge coloring using k colors and it is denoted by a′(G). From a result of Burnstein it follows that all subcubic graphs are acyclically edge colorable using five colors. This result is tight since there are 3-regular graphs which require five colors. In this paper we prove that any non-regular connected graph of maximum degree 3 is acyclically edge colorable using at most four colors. This result is tight since all edge maximal non-regular connected graphs of maximum degree 3 require four colors.

d-Regular Graphs of Acyclic Chromatic Index at Least d+2

An acyclic edge coloring of a graph is a proper edge coloring such that there are no bichromatic cycles. The acyclic chromatic index of a graph is the minimum number k such that there is an acyclic edge coloring using k colors and is denoted by a'(G). It was conjectured by Alon, Suclakov and Zaks (and earlier by Fiamcik) that a'(G) <= Delta+2, where Delta = Delta(G) denotes the maximum degree of the graph. Alon et al. also raised the question whether the complete graphs of even order are the only regular graphs which require Delta+2 colors to be acyclically edge colored. In this article, using a simple counting argument we observe not only that this is not true, but in fact all d-regular graphs with 2n vertices and d>n, requires at least d+2 colors. We also show that a'(K-n,K-n) >= n+2, when n is odd using a more non-trivial argument. (Here K-n,K-n denotes the complete bipartite graph with n vertices on each side.) This lower bound for Kn,n can be shown to be tight for some families of complete bipartite graphs and for small values of n. We also infer that for every d, n such that d >= 5, n >= 2d+3 and dn even, there exist d-regular graphs which require at least d+2-colors to be acyclically edge colored. (C) 2009 Wiley Periodicals, Inc. J Graph Theory 63: 226-230, 2010.

Dimensional Reduction Near the Deconfinement Transition

When ordinary nuclear matter is heated to a high temperature of ~ 10^12 K, it undergoes a deconfinement transition to a new phase, strongly interacting quark-gluon plasma. While the color charged fundamental constituents of the nuclei, the quarks and gluons, are at low temperatures permanently confined inside color neutral hadrons, in the plasma the color degrees of freedom become dominant over nuclear, rather than merely nucleonic, volumes. Quantum Chromodynamics (QCD) is the accepted theory of the strong interactions, and confines quarks and gluons inside hadrons. The theory was formulated in early seventies, but deriving first principles predictions from it still remains a challenge, and novel methods of studying it are needed. One such method is dimensional reduction, in which the high temperature dynamics of static observables of the full four-dimensional theory are described using a simpler three-dimensional effective theory, having only the static modes of the various fields as its degrees of freedom. A perturbatively constructed effective theory is known to provide a good description of the plasma at high temperatures, where asymptotic freedom makes the gauge coupling small. In addition to this, numerical lattice simulations have, however, shown that the perturbatively constructed theory gives a surprisingly good description of the plasma all the way down to temperatures a few times the transition temperature. Near the critical temperature, the effective theory, however, ceases to give a valid description of the physics, since it fails to respect the approximate center symmetry of the full theory. The symmetry plays a key role in the dynamics near the phase transition, and thus one expects that the regime of validity of the dimensionally reduced theories can be significantly extended towards the deconfinement transition by incorporating the center symmetry in them. In the introductory part of the thesis, the status of dimensionally reduced effective theories of high temperature QCD is reviewed, placing emphasis on the phase structure of the theories. In the first research paper included in the thesis, the non-perturbative input required in computing the g^6 term in the weak coupling expansion of the pressure of QCD is computed in the effective theory framework at an arbitrary number of colors. The two last papers on the other hand focus on the construction of the center-symmetric effective theories, and subsequently the first non-perturbative studies of these theories are presented. Non-perturbative lattice simulations of a center-symmetric effective theory for SU(2) Yang-Mills theory show --- in sharp contrast to the perturbative setup --- that the effective theory accommodates a phase transition in the correct universality class of the full theory. This transition is seen to take place at a value of the effective theory coupling constant that is consistent with the full theory coupling at the critical temperature.

A reverse Stroop task with mouse tracking

In a reverse Stroop task, observers respond to the meaning of a color word irrespective of the color in which the word is printed—for example, the word red may be printed in the congruent color (red), an incongruent color (e.g., blue), or a neutral color (e.g., white). Although reading of color words in this task is often thought to be neither facilitated by congruent print colors nor interfered with incongruent print colors, this interference has been detected by using a response method that does not give any bias in favor of processing of word meanings or processing of print colors. On the other hand, evidence for the presence of facilitation in this task has been scarce, even though this facilitation is theoretically possible. By modifying the task such that participants respond to a stimulus color word by pointing to a corresponding response word on a computer screen with a mouse, the present study investigated the possibility that not only interference but also facilitation would take place in a reverse Stroop task. Importantly, in this study, participants’ responses were dynamically tracked by recording the entire trajectories of the mouse. Arguably, this method provided richer information about participants’ performance than traditional measures such as reaction time and accuracy, allowing for more detailed (and thus potentially more sensitive) investigation of facilitation and interference in the reverse Stroop task. These trajectories showed that the mouse’s approach toward correct response words was significantly delayed by incongruent print colors but not affected by congruent print colors, demonstrating that only interference, not facilitation, was present in the current task. Implications of these findings are discussed within a theoretical framework in which the strength of association between a task and its response method plays a critical role in determining how word meanings and print colors interact in reverse Stroop tasks.

Simulations of dimensionally reduced effective theories of high temperature QCD

Quantum chromodynamics (QCD) is the theory describing interaction between quarks and gluons. At low temperatures, quarks are confined forming hadrons, e.g. protons and neutrons. However, at extremely high temperatures the hadrons break apart and the matter transforms into plasma of individual quarks and gluons. In this theses the quark gluon plasma (QGP) phase of QCD is studied using lattice techniques in the framework of dimensionally reduced effective theories EQCD and MQCD. Two quantities are in particular interest: the pressure (or grand potential) and the quark number susceptibility. At high temperatures the pressure admits a generalised coupling constant expansion, where some coefficients are non-perturbative. We determine the first such contribution of order g^6 by performing lattice simulations in MQCD. This requires high precision lattice calculations, which we perform with different number of colors N_c to obtain N_c-dependence on the coefficient. The quark number susceptibility is studied by performing lattice simulations in EQCD. We measure both flavor singlet (diagonal) and non-singlet (off-diagonal) quark number susceptibilities. The finite chemical potential results are optained using analytic continuation. The diagonal susceptibility approaches the perturbative result above 20T_c$, but below that temperature we observe significant deviations. The results agree well with 4d lattice data down to temperatures 2T_c.

Many Faces of Mao Zedong

The main aim of this work was to explore the use of Mao Zedong s (毛泽东, 1893—1976) visual image in contemporary Chinese art during the years 1976—2006. Chairman Mao is the most visually reproduced person in the People's Republic of China (PRC), and the presence of his image is still unquestionable at many levels. Although several scholars have provided insightful observations on this topic, research focusing on Mao's visual image has been neglected. Employing the interdisciplinary approach of visual studies and using image as the main concept, this research combines different theoretical frameworks, deriving from art history, image studies and social sciences, for each chapter in order to explain the origins, intentions and major strategies of the contemporary Chinese artists. The focus of this research was to elucidate how Mao's visual image, deriving from the Maoist era, is re-created and negotiated in contemporary Chinese art works. The material reproductions - the visual images in contemporary art - are created to be juxtaposed with the immaterial mental images of Mao that were created during the Maoist era through the original visual images of Mao. This complex interaction between visual and mental images is further exemplified by art works that do not include Mao's visual image, but still imply his mental image. The methods used derive from both sinology and art history. The research is based on extensive fieldwork in China, which was crucial for gathering new information and materials from this vigorous art scene. The topic is approached through a Chinese cultural, political and historical perspective that is necessary for a further understanding of how the original visual images of Mao obtained their omnipotent status and what kind of iconography was created. Close structural analysis, taking into account the format, style, techniques, composition, colors, materials and space used in the art works, is employed to demonstrate the great variety of visual images created. The analysis is further placed in a continuous dialogue both with the contemporary art works of Mao and with the original visual images of Mao from the past. In this study it is shown that contemporary Chinese art relating to Chairman Mao is a more versatile and multilayered phenomenon than is generally assumed. Although some of the art works seem to fit into the definition of superficial art, the study demonstrates that this reading of the art works is not adequate. The author argues that employing Mao's visual images in contemporary Chinese art is based on three main strategies used by artists: to create a visual dialogue with a traumatizing past, to employ transcontextual parody, and to explore the importance of Tian'anmen through site-dependent art. These strategies are not exclusionary, but instead interdependent and many art works employ more than one of them. In addition, these three main strategies include versatile methods used by artists that make the use of Mao's visual images even more multifaceted.

Effect of a QSO on the interstellar medium of its host galaxy

We consider the hydrodynamic evolution of gas in the interstellar medium of the host galaxy of a quasar due to Compton heating by the QSO radiation. We show that a Lagrangean formulation of the problem is necessary. It is found that the "hydrodynamic time scale" becomes important compared to the Compton heating time scale. We also relax the "single fluid" approximation by considering the existence of clouds and taking into account the mass loss from stars. The results predict star burst activity, and thus we explain the blue colors of the active galaxies.

Diruthenium(III) compounds, Ru2O(O2CAr)2(MeCN)4(PPh3)2(ClO4)2.cntdot.H2O and Ru2O(O2CAr)4(PPh3)2, with an (Ru2(.mu.-O)(.mu.-O2CAr)22+) core as model systems for the diiron centers in hemerythrin

Diruthenium(II1) compounds, Ru20(02CAr)2(MeCN)4(PPh3)2(C104)(z1~) Hazn0d R U ~ O ( O ~ C A ~ ) ~(2() P(PA~r ~= )P~h,C6H4-p-OMe), were prepared by reacting R U ~ C I ( O ~ CaAnd~ P)P~h 3 in MeCN and characterized by analytical and spectral data. The molecular structures of 1 with Ar = Ph and of 2 with Ar = C&p-OMe were determined by X-ray crystallography. Crystal data for Ru~~(~~CP~)~(M~CN),(PP~(~la)):~ m(oCnIoc~lin,ic), n~/~cH, ~a O= 27.722 (3) A, b = 10.793 (2) A, c = 23.445 ( 2 )A , fi = 124.18 (l)', V = 5803 A3, and 2 = 4. Cr stal data for Ru~O(O~CC~H~-~-O(M2b~): )o~rth(orPhoPm~bi~c, )Pn~n a, a = 22.767 (5) A, b = 22.084 (7) A, c = 12.904 (3) 1, V = 6488 AS; and 2 = 4. Both 1 and 2 have an (Ruz0(02CAr)z2t1 core that is analogous to the diiron core present in the oxidized form of the nonheme respiratory protein hemerythrin. The Ru-Ru distances of 3.237 (1) and 3.199 ( I ) A observed in 1 and 2, respectively, are similar to the M-M distances known in other model systems. The essentially diamagnetic nature of 1 and 2 is due to the presence of two strongly interacting t22 Ru"' centers. The intense colors of 1 (blue) and 2 (purple) are due to the charge-transfer transition involving an ( R ~ ~ ( f i - 0m)o~ie~ty.) The presence of labile MeCN and carboxylato ancillary ligands in I and 2, respectively, makes these systems reactive toward amine and heterocyclic bases.

Löydöstä muinaispuvuksi : arkeologisten tekstiilien ennallistaminen

From a find to an ancient costume - reconstruction of archaeological textiles Costume tells who we are. It warms and protects us, but also tells about our identity: gender, age, family, social group, work, religion and ethnicity. Textile fabrication, use and trade have been an important part of human civilization for more than 10 000 years. There are plenty of archaeological textile findings, but they are small, fragmentary and their interpretation requires special skills. Finnish textile findings from the younger Iron Age have already been studied for more than hundred years. They have also been used as a base for several reconstructions called muinaispuku , ancient costume. Thesis surveys the ancient costume reconstruction done in Finland and discusses the objectives of the reconstruction projects. The earlier reconstruction projects are seen as a part of the national project of constructing a glorious past for Finnish nationality, and the part women took in this project. Many earlier reconstructions are designed to be festive costumes for wealthy ladies. In the 1980s and 1990s many new ancient costume reconstructions were made, differing from their predecessors at the pattern of the skirt. They were also done following the principles of making a scientific reconstruction more closely. At the same time historical re-enactment and living history as a hobby have raised in popularity, and the use of ancient costumes is widening from festive occasions to re-enactment purposes. A hypothesis of the textile craft methods used in younger Iron Age Finland is introduced. Archaeological findings from Finland and neighboring countries, ethnological knowledge of textile crafts and experimental archaeology have been used as a basis for this proposition. The yarn was spinned with a spindle, the fabrics woven on a warp-weighted loom and dyed with natural colors. Bronze spiral applications and complicated tablet-woven bands have possibly been done by specialist craftswomen or -men. The knowledge of the techniques and results of experimenting and experimental archaeology gives a possibility to review the success of existing ancient costume reconstructions as scientific reconstructions. Only one costume reconstruction project, the Kaarina costume fabricated in Kurala Kylämäki museum, has been done using as authentic methods as possible. The use of ancient craft methods is time-consuming and expensive. This fact can be seen as one research result itself for it demonstrates how valuable the ancient textiles have been also in their time of use. In the costume reconstruction work, the skill of a craftswoman and her knowledge of ancient working methods is strongly underlined. Textile research is seen as a process, where examination of original textiles and reconstruction experiments discuss with each other. Reconstruction projects can give a lot both to the research of Finnish younger Iron Age and the popularization of archaeological knowledge. The reconstruction is never finished, and also the earlier reconstructions should be reviewed in the light of new findings.

Novel gray coded pattern for unwrapping phase in fringe projection based 3D profiling

A method to reliably extract object profiles even with height discontinuities (that leads to 2n pi phase jumps) is proposed. This method uses Fourier transform profilometry to extract wrapped phase, and an additional image formed by illuminating the object of interest by a novel gray coded pattern for phase unwrapping. Simulation results suggest that the proposed approach not only retains the advantages of the original method, but also contributes significantly in the enhancement of its performance. Fundamental advantage of this method stems from the fact that both extraction of wrapped phase and unwrapping the same were done by gray scale images. Hence, unlike the methods that use colors, proposed method doesn't demand a color CCD camera and is ideal for profiling objects with multiple colors.

Star formation in giant extragalactic H II regions

Star formation properties in Giant Extragalactic H II Regions (GEHRs) are investigated using optical photometry and evolutionary population synthesis models. Photometric data in $BVR$ bands and in the emission line of H-alpha are obtained by CCD imaging at Vainu Bappu Observatory, Kavalur. Aperture photometry is performed for 180 GEHRs in galaxies NGC 1365, 1566, 2366, 2903, 2997, 3351, 4303, 4449, 4656 and 5253. Thirty six of these GEHRs having published spectroscopic data are studied for star formation properties. The population synthesis model is constructed based on Maeder's stellar evolutionary and Kurucz stellar atmosphere models, to synthesize observational quantities of embedded clusters in GEHRs. The observed H-alpha luminosity is a measure of the number of massive stars while the contribution to BVR bands is from intermediate mass (5-15 solar mass) stars when the cluster is young and from evolving supergiants when the cluster is old (age >/= 6~Myr). Differential reddening between gas and embedded stars is essential to constrain the dereddened cluster colors within the range of youngest clusters. Obscuring dust closely associated with gas, which is distributed in filaments and clumps, as in the case of 30 Doradus, is the most likely configuration giving rise to net reduction of extinction towards stars. The fraction of the stellar photons escaping the nebula unattenuated is estimated to be 50%. GEHRs are rarely found to be simple systems containing stars from single generation. In the present sample such regions in addition to being older than 3~Myr, have their Lyman continuum luminosity reduced by as much as 60%, compared to the observed $B$ band luminosity for a normal IMF. The missing ionizing photons may be escaping the nebula, leading to the ionization of extra-H II region ionized medium. Co-existence of young (age

Acyclic Edge-Coloring of Planar Graphs

A proper edge-coloring with the property that every cycle contains edges of at least three distinct colors is called an acyclic edge-coloring. The acyclic chromatic index of a graph G, denoted. chi'(alpha)(G), is the minimum k such that G admits an acyclic edge-coloring with k colors. We conjecture that if G is planar and Delta(G) is large enough, then chi'(alpha) (G) = Delta (G). We settle this conjecture for planar graphs with girth at least 5. We also show that chi'(alpha) (G) <= Delta (G) + 12 for all planar G, which improves a previous result by Fiedorowicz, Haluszczak, and Narayan Inform. Process. Lett., 108 (2008), pp. 412-417].