(Q).
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. What object entity has the relation of 'field of work' with the subject 'alexandru ghika'? Choices: - computing - functional analysis - mathematical analysis - mathematician - mathematics - musical
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mathematical analysis

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Information: - Strategic bombing is a military strategy used in a total war with the goal of defeating the enemy by destroying its morale or its economic ability to produce and transport materiel to the theatres of military operations, or both. It is a systematically organized and executed attack from the air which can utilize strategic bombers, long- or medium-range missiles, or nuclear-armed fighter-bomber aircraft to attack targets deemed vital to the enemy's war-making capability. - Charles Thomas Payne ( February 1925 -- August 1 , 2014 ) was an American who served in the U.S. military during World War II as a member of the U.S. Army 's 89th Infantry Division that liberated Ohrdruf , a sub-camp of the Buchenwald concentration camp . He was 20 years old . A brother of Madelyn Lee Payne Dunham , Charles was Barack Obama 's great uncle and was mentioned in Obama 's speeches including the one given in 2009 commemorating the anniversary of D - Day . Obama has often described Payne 's role in liberating Ohrdruf forced labor camp . There was brief media attention when Obama mistakenly identified the camp as Auschwitz during the campaign . In 2009 , Payne spoke about this experiences : '' Ohrdruf was in that string of towns going across , south of Gotha and Erfurt . Our division was the first one in there . When we arrived there were no German soldiers anywhere around that I knew about . There was no fighting against the Germans , no camp guards . The whole area was overrun by people from the camp dressed in the most pitiful rags , and most of them were in a bad state of starvation . '' Payne appeared in the visitor 's gallery at the Democratic National Convention in Denver , Colorado , when his great - nephew was nominated for President . He was the assistant director of the University of Chicago 's Library . Payne died on August 1 , 2014 , aged 89 . - World WarII (often abbreviated to WWII or WW2), also known as the Second World War, was a global war that lasted from 1939 to 1945, although related conflicts began earlier. It involved the vast majority of the world's nationsincluding all of the great powerseventually forming two opposing military alliances: the Allies and the Axis. It was the most widespread war in history, and directly involved more than 100 million people from over 30 countries. In a state of "total war", the major participants threw their entire economic, industrial, and scientific capabilities behind the war effort, erasing the distinction between civilian and military resources. Marked by mass deaths of civilians, including the Holocaust (in which approximately 11 million people were killed) and the strategic bombing of industrial and population centres (in which approximately one million were killed, and which included the atomic bombings of Hiroshima and Nagasaki), it resulted in an estimated 50 million to 85 million fatalities. These made World WarII the deadliest conflict in human history. - Hiroshima is perhaps best known as the first city in history to be targeted by a nuclear weapon when the United States Army Air Forces (USAAF) dropped an atomic bomb on the city (and later on Nagasaki) at 8:15a.m. on August 6, 1945, near the end of World War II. What object entity has the relation of 'military branch' with the subject 'charles t. payne'? Choices: - aircraft - army - united states army
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united states army