Here is a question about this article: Von Neumann introduced the study of rings of operators, through the von Neumann algebras. A von Neumann algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. The von Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries. The direct integral was introduced in 1949 by John von Neumann. One of von Neumann's analyses was to reduce the classification of von Neumann algebras on separable Hilbert spaces to the classification of factors.
What is the answer to this question: What does the von Neumann bicommutant theorem show?
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So... the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries.

The problem: Answer a question about this article:
Erik Erikson (1902-1994) became one of the earliest psychologists to take an explicit interest in identity. The Eriksonian framework rests upon a distinction among the psychological sense of continuity, known as the ego identity (sometimes identified simply as "the self"); the personal idiosyncrasies that separate one person from the next, known as the personal identity; and the collection of social roles that a person might play, known as either the social identity or the cultural identity. Erikson's work, in the psychodynamic tradition, aimed to investigate the process of identity formation across a lifespan. Progressive strength in the ego identity, for example, can be charted in terms of a series of stages in which identity is formed in response to increasingly sophisticated challenges. The process of forming a viable sense of identity for the culture is conceptualized as an adolescent task, and those who do not manage a resynthesis of childhood identifications are seen as being in a state of 'identity diffusion' whereas those who retain their initially given identities unquestioned have 'foreclosed' identities (Weinreich & Saunderson 2003 p7-8). On some readings of Erikson, the development of a strong ego identity, along with the proper integration into a stable society and culture, lead to a stronger sense of identity in general. Accordingly, a deficiency in either of these factors may increase the chance of an identity crisis or confusion (Cote & Levine 2002, p. 22).
What distinction is sometimes referred to as the self?
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The answer: ego identity

Problem: Please answer a question about the following article about Beyonce:
Described as being "sexy, seductive and provocative" when performing on stage, Beyonce has said that she originally created the alter ego "Sasha Fierce" to keep that stage persona separate from who she really is. She described Sasha as being "too aggressive, too strong, too sassy [and] too sexy", stating, "I'm not like her in real life at all." Sasha was conceived during the making of "Crazy in Love", and Beyonce introduced her with the release of her 2008 album I Am... Sasha Fierce. In February 2010, she announced in an interview with Allure magazine that she was comfortable enough with herself to no longer need Sasha Fierce. However, Beyonce announced in May 2012 that she would bring her back for her Revel Presents: Beyonce Live shows later that month.
What year did Beyonce do away with Sasha Fierce?
A: 2010

Question: Read this and answer the question

The area of modern Zhejiang was outside the major sphere of influence of the Shang civilization during the second millennium BC. Instead, this area was populated by peoples collectively known as the Hundred Yue, including the Dongyue and the Ouyue. The kingdom of Yue began to appear in the chronicles and records written during the Spring and Autumn Period. According to the chronicles, the kingdom of Yue was located in northern Zhejiang. Shiji claims that its leaders were descended from the Shang founder Yu the Great. Evidence suggests that Baiyue and the kingdom of Yue possessed their own culture and history that are different from those kingdoms in north and central China, whose cultures and histories were carefully recorded in chronicles and histories during the Spring and Autumn Period and into the Qin dynasty. The Song of the Yue Boatman (Chinese: , p Yueren Ge, lit. "Song of the man of Yue") was transliterated into Chinese and recorded by authors in north China or inland China of Hebei and Henan around 528 BC. The song shows that the Yue people spoke a language that was mutually unintelligible with the dialects spoken in north and inland China. The Yue peoples seem to have had their own written script. The Sword of Goujian bears bird-worm seal script. Yuenu (Chinese: ; pinyin: Yuenu; WadeGiles: Yueh-nu; literally: "the Lady of Yue") was a swordswoman from the state of Yue. In order to check the growth of the kingdom of Wu, Chu pursued a policy of strengthening Yue. Under King Goujian, Yue recovered from its early reverses and fully annexed the lands of its rival in 473 BC. The Yue kings then moved their capital center from their original home around Mount Kuaiji in present-day Shaoxing to the former Wu capital at present-day Suzhou. With no southern power to turn against Yue, Chu opposed it directly and, in 333 BC, succeeded in destroying it. Yue's former lands were annexed by the Qin Empire in 222 BC and organized into a commandery named for Kuaiji in Zhejiang but initially headquartered in Wu in Jiangsu.

Who populated the areas of Zhejiang in the 2nd millennium BC?
Answer: Hundred Yue

Input: Article: Paris was in its artistic prime in the 19th century and early 20th century, when it had a colony of artists established in the city and in art schools associated with some of the finest painters of the times: Manet, Monet, Berthe Morisot, Gauguin, Renoir and others. The French Revolution and political and social change in France had a profound influence on art in the capital. Paris was central to the development of Romanticism in art, with painters such as Gericault. Impressionism, Art Nouveau, Symbolism, Fauvism Cubism and Art Deco movements all evolved in Paris. In the late 19th century, many artists in the French provinces and worldwide flocked to Paris to exhibit their works in the numerous salons and expositions and make a name for themselves. Artists such as Pablo Picasso, Henri Matisse, Vincent van Gogh, Paul Cezanne, Jean Metzinger, Albert Gleizes, Henri Rousseau, Marc Chagall, Amedeo Modigliani and many others became associated with Paris. Picasso, living in Montmartre, painted his famous La Famille de Saltimbanques and Les Demoiselles d'Avignon between 1905 and 1907. Montmartre and Montparnasse became centres for artistic production.

Now answer this question: Between what two years did Picasso paint La Famille de Saltimbanques and Les Demoiselles d'Avignon?

Output:
1905 and 1907