Problem: Gabrielle Emilie Le Tonnelier de Breteuil, Marquise Du Chatelet (French pronunciation: [emili dy Satle] ( listen); 17 December 1706 - 10 September 1749) was a French natural philosopher, mathematician, physicist, and author during the early 1730s until her untimely death due to childbirth in 1749. Her most recognized achievement is her translation of and commentary on Isaac Newton's book Principia containing basic laws of physics. The translation, published posthumously in 1759, is still considered the standard French translation today. Her commentary includes a profound contribution to Newtonian mechanics--the postulate of an additional conservation law for total energy, of which kinetic energy of motion is one element.

In addition to producing famous translations of works by authors such as Bernard Mandeville and Isaac Newton, Du Chatelet wrote a number of significant philosophical essays, letters and books that were well known in her time. Because of her well-known collaboration and romantic involvement with Voltaire, which spanned much of her adult life, for generations Du Chatelet has been known as mistress and collaborator to her much better known intellectual companion. Her accomplishments and achievements have often been subsumed under his, and as a result, even today she is often mentioned only within the context of Voltaire's life and work during the period of the early French Enlightenment. Recently, however, professional philosophers and historians have transformed the reception of Du Chatelet. Historical evidence indicates that Du Chatelet's work had a very significant influence on the philosophical and scientific conversations of the 1730s and 1740s - in fact, she was famous and respected by the greatest thinkers of her time. Du Chatelet corresponded with renowned mathematicians such as Johann II Bernoulli and Leonhard Euler, early developers of calculus. She was also tutored by Bernoulli's prodigy students, Pierre Louis Moreau de Maupertuis and Alexis Claude Clairaut. Frederick the Great of Prussia, who re-founded the Academy of Sciences in Berlin, was her great admirer, and corresponded with both Voltaire and Du Chatelet regularly. He introduced Du Chatelet to the Leibniz's philosophy by sending her the works of Christian Wolff, and Du Chatelet sent him a copy of her Institutions. Her works were published and republished in Paris, London, and Amsterdam; they were translated into German and Italian; and, they were discussed in the most important scholarly journals of the era, including the Memoires des Trevoux, the Journal des Scavans, the Gottingische Zeitungen von gelehrten Sachen, and others. Perhaps most intriguingly, many of her ideas were represented in various sections of the Encyclopedie of Diderot and D'Alembert, and some of the articles in the Encyclopedie are a direct copy of her work (this is an active area of current academic research - the latest research can be found at Project Vox, a Duke University research initiative).

what are some collaboration she had with Voltaire

Answer with quotes: Her accomplishments and achievements have often been subsumed under his, and as a result, even today she is often mentioned only within the context of Voltaire's

Question:
Murray Newton Rothbard (; March 2, 1926 - January 7, 1995) was an American heterodox economist of the Austrian School, a historian, and a political theorist whose writings and personal influence played a seminal role in the development of modern right-libertarianism. Rothbard was the founder and leading theoretician of anarcho-capitalism, a staunch advocate of historical revisionism, and a central figure in the twentieth-century American libertarian movement.
In 1953, in New York City, he married JoAnn Schumacher (1928-1999), whom he called Joey. JoAnn was his editor and a close adviser, as well as hostess of his "Rothbard Salon". They enjoyed a loving marriage, and Rothbard often called her "the indispensable framework" behind his life and achievements. According to Joey, patronage from the Volker Fund allowed Rothbard to work from home as a freelance theorist and pundit for the first fifteen years of their marriage. The Fund collapsed in 1962, leading Rothbard to seek employment from various New York academic institutions. He was offered a part-time position teaching economics to the engineering students of Brooklyn Polytechnic Institute in 1966, at age 40. This institution had no economics department or economics majors, and Rothbard derided its social science department as "Marxist." However, Justin Raimondo writes that Rothbard liked his role with Brooklyn Polytechnic because working only two days a week gave him freedom to contribute to developments in libertarian politics. Rothbard continued in this role for twenty years, until 1986. Then 60 years old, Rothbard left Brooklyn Polytechnic Institute for the Lee Business School at the University of Nevada, Las Vegas, where he held the title of S.J. Hall Distinguished Professor of Economics, an endowed chair paid for by a libertarian businessman. According to Rothbard's friend, colleague and fellow Misesian economist Hans-Hermann Hoppe, Rothbard led a "fringe existence" in academia, but was able to attract a large number of "students and disciples" through his writings, thereby becoming "the creator and one of the principal agents of the contemporary libertarian movement." Rothbard maintained his position at UNLV from 1986 until his death. Rothbard founded the Center for Libertarian Studies in 1976 and the Journal of Libertarian Studies in 1977. In 1982, he co-founded the Ludwig von Mises Institute in Auburn, Alabama, and was vice president of academic affairs until 1995. The Institute's Review of Austrian Economics, a heterodox economics journal later renamed the Quarterly Journal of Austrian Economics, was also founded by Rothbard in 1987. After Rothbard's death, Joey reflected on Rothbard's happiness and bright spirit. "...he managed to make a living for 40 years without having to get up before noon. This was important to him." She recalled how Rothbard would begin every day with a phone conversation with his colleague Llewellyn Rockwell. "Gales of laughter would shake the house or apartment, as they checked in with each other. Murray thought it was the best possible way to start a day." Rothbard was irreligious and agnostic toward the existence of God, describing himself as a "mixture of an agnostic and a Reform Jew." Despite identifying as an agnostic and an atheist, Rothbard was critical of the "left-libertarian hostility to religion". In Rothbard's later years, many of his friends anticipated that he would convert to Catholicism, but he never did. The New York Times obituary called Rothbard "an economist and social philosopher who fiercely defended individual freedom against government intervention."
Answer this question using a quote from the text above:

Did they have a good marriage?

Answer:
They enjoyed a loving marriage, and Rothbard often called her "the indispensable framework" behind his life and achievements.