Information: - Poland, officially the Republic of Poland, is a country in Central Europe, situated between the Baltic Sea in the north and two mountain ranges (the Sudetes and Carpathian Mountains) in the south. Bordered by Germany to the west; the Czech Republic and Slovakia to the south; Ukraine and Belarus to the east; and the Baltic Sea, Kaliningrad Oblast (a Russian exclave) and Lithuania to the north. The total area of Poland is , making it the 69th largest country in the world and the 9th largest in Europe. With a population of over 38.5million people, Poland is the 34th most populous country in the world, the 8th most populous country in Europe and the sixth most populous member of the European Union. Poland is a unitary state divided into 16 administrative subdivisions, and its capital and largest city is Warsaw. Other metropolises include Krakow, Wrocaw, Pozna, Gdask and Szczecin. - Pardubice is a city in the Czech Republic. It is the capital city of the Pardubice Region and lies on the river Elbe, 96 kilometres east of Prague. There is an old Tower and a Castle. Factories include the Synthesia chemical factory (manufacturer of Semtex, a plastic explosive), an oil refinery Paramo, a heavy machinery factory and an electronic equipment plant. The city is well known for its sport events (Great Pardubice Steeplechase, Golden Helmet of Pardubice, Czech Open), ginger bread, rail and air transport. - Prague is the capital and largest city of the Czech Republic. It is the 14th largest city in the European Union. It is also the historical capital of Bohemia. Situated in the north-west of the country on the Vltava river, the city is home to about 1.26million people, while its larger urban zone is estimated to have a population of nearly 2million. The city has a temperate climate, with warm summers and chilly winters. - Pardubice Region is an administrative unit of the Czech Republic, located mainly in the eastern part of its historical region of Bohemia, with a small part in northwestern Moravia. It is named after its capital Pardubice. There are a total of 451 municipalities in the region (as of 2011). Among these are 15 municipalities with extended powers and 26 municipalities with a delegated municipal office. Thirty-two of the municipalities are classified as towns. The regional central offices are in Pardubice. - The Elbe (; Low German: "Elv") is one of the major rivers of Central Europe. It rises in the Krkonose Mountains of the northern Czech Republic before traversing much of Bohemia (Czech Republic), then Germany and flowing into the North Sea at Cuxhaven, northwest of Hamburg. Its total length is . - Chrudimka is a river in the Pardubice Region in the Czech Republic . It is a left tributary of Labe , beginning near Hlinsko and flowing mostly northward to the city of Pardubice . - The Czech Republic, also known by the short name Czechia, is a nation state in Central Europe bordered by Germany to the west, Austria to the south, Slovakia to the east and Poland to the northeast. The Czech Republic covers an area of with mostly temperate continental climate and oceanic climate. It is a unitary parliamentary republic, has 10.5million inhabitants and the capital and largest city is Prague, with over 1.2million residents. The Czech Republic includes the historical territories of Bohemia, Moravia, and Czech Silesia. - Silesia (or ; Silesian German: "Schlasing" Silesian: "lnsk" ) is a region of Central Europe located mostly in Poland, with small parts in the Czech Republic and Germany. Its area is about , and its population about 8,000,000. Silesia is located along the Oder river. It consists of Lower Silesia and Upper Silesia. 'chrudimka' is related to which object entity through the relation of 'mouth of the watercourse'? Choices: - elbe - oder - sea - vltava
elbe
Information: - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - The Fourier transform decomposes a function of time (a "signal") into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes. The Fourier transform of a function of time itself is a complex-valued function of frequency, whose absolute value represents the amount of that frequency present in the original function, and whose complex argument is the phase offset of the basic sinusoid in that frequency. The Fourier transform is called the "frequency domain representation" of the original signal. The term "Fourier transform" refers to both the frequency domain representation and the mathematical operation that associates the frequency domain representation to a function of time. The Fourier transform is not limited to functions of time, but in order to have a unified language, the domain of the original function is commonly referred to as the "time domain". For many functions of practical interest, one can define an operation that reverses this: the "inverse Fourier transformation", also called "Fourier synthesis", of a frequency domain representation combines the contributions of all the different frequencies to recover the original function of time. - Alexandru Ghika ( June 22 , 1902 -- April 11 , 1964 ) was a Romanian mathematician , founder of the Romanian school of functional analysis . - A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems. - Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions. - Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations. - A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems.<br> It can also be a problem referring to the nature of mathematics itself, such as Russell's Paradox. 'alexandru ghika' is related to which object entity through the relation of 'field of work'? Choices: - computing - functional analysis - mathematical analysis - mathematician - mathematics - musical
mathematical analysis