Cosmological perturbation theory

This is a review on cosmological perturbation theory. After an introduction, it presents the problem of gauge transformation. Gauge invariant variables are introduced and the Einstein and conservation equations are written in terms of these variables. Some examples, especially perfect fluids and scalar fields are presented in detail. The generation of perturbations during inflation is studied. Lightlike geodesics and their relevance for CMB anisotropies are briefly discussed. Perturbation theory in braneworlds is also introduced.Comment: my course at the Second Aegean Summerschool on the Early Universe, 39 pages (I have corrected some typos

Methods in sugar analysis

Procedure for determination of total sugars in molasses is give

Determination of vitamins in feeds

The vitamins, though required in small amounts in the diet, play major roles in growth, physiology and metabolism of the animal. Their absence in the diet causes major deficiency syndromes. Also, the vitamins should be present in optimum levels in the diet; any excess in certain vitamins in the diet causes pathological symptoms and inhibit growth. Therefore, the determination of the amount of different vitamins present in the diet is very important

Preparation of artificial diets for nutritional studies

The H 440 standard reference diet of Halver (1969) has* proven satisfactory for use with a variety of species of fishes. If this exact formula does not prove satisfactory for growth and survival of the test fish, slight modifications of clearly explained ingredient changes still permit meaningful comparisons of the test fish results with other species

Monoid automata for displacement context-free languages

In 2007 Kambites presented an algebraic interpretation of Chomsky-Schutzenberger theorem for context-free languages. We give an interpretation of the corresponding theorem for the class of displacement context-free languages which are equivalent to well-nested multiple context-free languages. We also obtain a characterization of k-displacement context-free languages in terms of monoid automata and show how such automata can be simulated on two stacks. We introduce the simultaneous two-stack automata and compare different variants of its definition. All the definitions considered are shown to be equivalent basing on the geometric interpretation of memory operations of these automata.Comment: Revised version for ESSLLI Student Session 2013 selected paper

Heat conduction induced by non-Gaussian athermal fluctuations

We study the properties of heat conduction induced by non-Gaussian noises from athermal environments. We find that new terms should be added to the conventional Fourier law and the fluctuation theorem for the heat current, where its average and fluctuation are determined not only by the noise intensities but also by the non-Gaussian nature of the noises. Our results explicitly show the absence of the zeroth law of thermodynamics in athermal systems.Comment: 15 pages, 4 figures, PRE in pres