Here is a question about this article: Von Neumann founded the field of continuous geometry. It followed his path-breaking work on rings of operators. In mathematics, continuous geometry is an analogue of complex projective geometry, where instead of the dimension of a subspace being in a discrete set 0, 1, ..., n, it can be an element of the unit interval [0,1]. Von Neumann was motivated by his discovery of von Neumann algebras with a dimension function taking a continuous range of dimensions, and the first example of a continuous geometry other than projective space was the projections of the hyperfinite type II factor.
What is the answer to this question: What is the distinction of continuous geometry?
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So... instead of the dimension of a subspace being in a discrete set 0, 1, ..., n, it can be an element of the unit interval


The problem: Answer a question about this article:
Before the attack on Pearl Harbor, the 800,000-member America First Committee vehemently opposed any American intervention in the European conflict, even as America sold military aid to Britain and the Soviet Union through the Lend-Lease program. Opposition to war in the U.S. vanished after the attack. On 8 December, the United States, the United Kingdom, Canada, and the Netherlands declared war on Japan, followed by China and Australia the next day. Four days after Pearl Harbor, Nazi Germany and Fascist Italy declared war on the United States, drawing the country into a two-theater war. This is widely agreed to be a grand strategic blunder, as it abrogated the benefit Germany gained by Japan's distraction of the U.S. (predicted months before in a memo by Commander Arthur McCollum)[nb 12] and the reduction in aid to Britain, which both Congress and Hitler had managed to avoid during over a year of mutual provocation, which would otherwise have resulted.
What program allowed America to sell military supplies to Britain and the Soviet Union?
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The answer: Lend-Lease


Problem: Please answer a question about the following article about Seven Years%27 War:
The carefully coded word in the agreement proved no less catalytic for the other European powers. The results were absolute chaos. Empress Elizabeth of Russia was outraged at the duplicity of Britain's position. Not only that France was so enraged, and terrified, by the sudden betrayal of its only ally. Austria, particularly Kaunitz, used this situation to their utmost advantage. The now-isolated France was forced to accede to the Austro-Russian alliance or face ruin. Thereafter, on May 1, 1756, the First Treaty of Versailles was signed, in which both nations pledged 24.000 troops to defend each other in the case of an attack. This diplomatic revolution proved to be an important cause of the war; although both treaties were self-defensive in nature, the actions of both coalitions made the war virtually inevitable.
France was now in a desperate position, what did they do?
A: France was forced to accede to the Austro-Russian alliance


Question: Read this and answer the question

John treated the interdict as "the equivalent of a papal declaration of war". He responded by attempting to punish Innocent personally and to drive a wedge between those English clergy that might support him and those allying themselves firmly with the authorities in Rome. John seized the lands of those clergy unwilling to conduct services, as well as those estates linked to Innocent himself; he arrested the illicit concubines that many clerics kept during the period, only releasing them after the payment of fines; he seized the lands of members of the church who had fled England, and he promised protection for those clergy willing to remain loyal to him. In many cases, individual institutions were able to negotiate terms for managing their own properties and keeping the produce of their estates. By 1209 the situation showed no signs of resolution, and Innocent threatened to excommunicate John if he did not acquiesce to Langton's appointment. When this threat failed, Innocent excommunicated the king in November 1209. Although theoretically a significant blow to John's legitimacy, this did not appear to greatly worry the king. Two of John's close allies, Emperor Otto IV and Count Raymond VI of Toulouse, had already suffered the same punishment themselves, and the significance of excommunication had been somewhat devalued. John simply tightened his existing measures and accrued significant sums from the income of vacant sees and abbeys: one 1213 estimate, for example, suggested the church had lost an estimated 100,000 marks (equivalent to £66,666 at the time) to John. Official figures suggest that around 14% of annual income from the English church was being appropriated by John each year.

How many marks did the church lose?
Answer: 100,000


Problem: To unambiguously specify the date, dual dating or Old Style (O.S.) and New Style (N.S.) are sometimes used with dates. Dual dating uses two consecutive years because of differences in the starting date of the year, or includes both the Julian and Gregorian dates. Old Style and New Style (N.S.) indicate either whether the start of the Julian year has been adjusted to start on 1 January (N.S.) even though documents written at the time use a different start of year (O.S.), or whether a date conforms to the Julian calendar (O.S.) rather than the Gregorian (N.S.).
Why use two consecutive year dates?
The answer is the following: starting date of the year


Input: Article: Modern Baptist churches trace their history to the English Separatist movement in the century after the rise of the original Protestant denominations. This view of Baptist origins has the most historical support and is the most widely accepted. Adherents to this position consider the influence of Anabaptists upon early Baptists to be minimal. It was a time of considerable political and religious turmoil. Both individuals and churches were willing to give up their theological roots if they became convinced that a more biblical "truth" had been discovered.[page needed]

Now answer this question: Modern Baptist churches trace their history to what movement?

Output:
English Separatist movement