OGLE-TR-56

In early 2003 our team announced the discovery of the second extrasolar transiting planet, around the faint star OGLE-TR-56 (V = 16.6), based on the detection of small changes in the radial velocity of the primary. The star was originally identified as a candidate by the OGLE team from the shallow and periodic dips in its brightness. We present here new precise radial velocity measurements that confirm the variation measured earlier, supporting the conclusion that the companion is indeed a planet. Additional photometric observations are also available, which combined with the spectroscopy yield improved parameters (mass and radius) for the planet

Laplace Tr ODE pdf

Exam questions and solutions in PD

Performance Enhancement of Multiuser Time Reversal UWB Communication System

UWB communication is a recent research area for indoor propagation channels. Time Reversal (TR) communication in UWB has shown promising results for improving the system performance. In multiuser environment, the system performance is significantly degraded due to the interference among different users. TR reduces the interference caused by multiusers due to its spatial focusing property. The performance of a multiuser TR communication system is further improved if the TR filter is modified. In this paper, multiuser TR in UWB communication is investigated using simple TR filter and a modified TR filter with circular shift operation. The concept of circular shift in TR is analytically studied. Thereafter, the channel impulse responses (CIR) of a typical indoor laboratory environment are measured. The measured CIRs are used to analyze the received signal peak power and signal to interference ratio (SIR) with and without performing the circular shift operation in a multiuser environment

On spectra and Brown's spectral measures of elements in free products of matrix algebras

We compute spectra and Brown measures of some non self-adjoint operators in (M_2(\cc), {1/2}Tr)*(M_2(\cc), {1/2}Tr), the reduced free product von Neumann algebra of M_2(\cc) with M_2(\cc). Examples include $AB$ and $A+B$, where A and B are matrices in (M_2(\cc), {1/2}Tr)*1 and 1*(M_2(\cc), {1/2}Tr), respectively. We prove that AB is an R-diagonal operator (in the sense of Nica and Speicher \cite{N-S1}) if and only if Tr(A)=Tr(B)=0. We show that if X=AB or X=A+B and A,B are not scalar matrices, then the Brown measure of X is not concentrated on a single point. By a theorem of Haagerup and Schultz \cite{H-S1}, we obtain that if X=AB or X=A+B and $X\neq \lambda 1$, then X has a nontrivial hyperinvariant subspace affiliated with (M_2(\cc), {1/2}Tr)*(M_2(\cc), {1/2}Tr).Comment: final version. to appear on Math. Sca

Heat Isolators on a Vacuum Flask

The thing which makes the vacuum flask system useful is the vacuum between the two bottles. Producers of the vacuum flask try to create a perfect vacuum between the two bottles, but it is impossible. Little air goes inside, too. This situation creates my experiment and research question. There are many heat isolators so can there be any material that can be more successful in conserving the temperature of the liquid added than the vacuum flask system? To find an answer to my question, I chose 3 heat isolators (perlite, fire brick and silicone) and put them into the flasks instead of the vacuum. In order to investigate their performance and compare with the vacuum flask system, I planned four experiments. I added to the flasks different liquids, water at the different temperature and water at different amounts and measured the temperatures of the added liquids in different times. According to the results from these 4 experiments, I reach to a conclusion that these isolators couldn’t perform a better performance than vacuum in conserving the temperature of the liquid

How do the events leading up to the World War I and the war itself affect the protagonist Lt. Henry and the characters close to him in the novel “Farewell to Arms” ?

The aim of this extended essay is to state the effects of events taking place and changing life standarts of the main character Lt. Frederic Henry and people around him especially Catherine Barkley in WWI in the novel “Farewell to Arms”. In this essay the effects of war on main character, people who are in close relationship with him and friendships after the war are examined. There are various changes in people’s lives especially the main character himself before and after the war. The situations that the main character Lt. Henry encountered with his friends both in military service and civil life took my interest to write this essay. There are many problems that the main character faced during WWI such as starvation and death of a close friend but these are only the ones that happened when he was in The Italian Army. By depicting those negative situations Ernest Hemingway critisizes war. Interrelational and psychological breakdowns that the characters face are emphasized as a reality of war in this novel. The narrator does not directly express these destructions during WWI. Instead, the narrator communicates ideas via main character Lt. Frederic Henry’s observations and experiences of war. As a person with dual nationality born in the USA, these observations are expository and declared. Thus his experiences of these realities such as feeling of loss, pain and love during WWI are highlighted. During this war, his life considerably changes as he tries to pursuit his love and relocate in order to meet his beloved again but their distress does not end although they escape from Italy to Switzerland. In army, he also gains affinity to violence by hurting people. In this way the protagonist undergoes changes and his life differentiates as well, but is it possible to confront all the problems

To what extent, in the novel ‘The Strange Case Of Dr. Jekyll and Mr. Hyde’ by R. L. Stevenson, the good and evil sides of a man is brought to light by the external (social) and internal (psychological) factors and what are the results of this metamorphosis over the psychology of Dr. Jekyll?

Scottish author Robert Louis Stevenson was born in Edinburgh in 1850. Stevenson, besides his authorship, was also a well-known poet and a travel-writer. Today, Stevenson is among the authors whose novels are most translated to other languages in the world . ‘Stevenson's characters often prefer unknown hazards to everyday life of the Victorian society.’1 ‘The Strange Case of Dr Jekyll and Mr Hyde’ by Robert Louis Stevenson, which is accepted as the best novel of the R. L. Stevenson, first published in 1886 and in a real short time sold nearly 40,000 copies in Britain. The mystery of Dr. Jekyll and Mr. Hyde is revealed by the testimonies of Dr. Lanyon, Mr. Utterson, Mr. Enfield, and Poole(Jekyll's butler). One day, with the help of Dr. Jekyll’s will, Mr. Utterson (Jekyll's lawyer), finds out that a stranger, named as Mr. Hyde, is the heir of the Dr. Jekyll's heritage. Mr. Utterson first couldn’t realize the fact behind this weird situation despite his wide research about this stranger and conversations with his friend Dr. Jekyll. However a few witnesses who witnessed this man only mention the irritating evil energy that transpires through his being. First Dr. Jekyll states that Mr. Hyde is simply a close friend of his. Then, when Mr. Hyde is suspected of murder