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What else can I help you with?
In what year did ZAIS Financial Corp - ZFC - have its IPO?
ZAIS Financial Corp. (ZFC)had its IPO in 2013.
What is the symbol for ZAIS Financial Corp in the NYSE?
The symbol for ZAIS Financial Corp. in the NYSE is: ZFC.
When was ZFC Meuselwitz created?
ZFC Meuselwitz was created in 1919.
Was the winner of the KNVB Beker cup in 1925?
The ZFC was the winner of the KNVB Beker cup in 1925.
Was the winner of the KNVB Beker cup in 1924?
The the winner of the KNVB Beker cup in 1924 was the ZFC.
What is ZFC FC?
Zero Field Cooling - Field Cooling Measuring an effect from a field in the two following ways: ZFC- Applying the field at a relatively low temperature compared to a characteristic temperature and continuously measuring the effects of the field as you raise the temperature to a level well above the characteristic level. FC - Applying the field at a relatively high temperature compared to a characteristic temperature and continuously measuring the effects of the field as you lower the temperature to a level well below the characteristic level. FC can be thought of as the reverse process to ZFC. If the effect you're measuring doesn't reverse using ZFC-FC, then you have something interesting on your hands.
What is ZFC-FC?
Zero Field Cooling - Field Cooling Measuring an effect from a field in the two following ways: ZFC- Applying the field at a relatively low temperature compared to a characteristic temperature and continuously measuring the effects of the field as you raise the temperature to a level well above the characteristic level. FC - Applying the field at a relatively high temperature compared to a characteristic temperature and continuously measuring the effects of the field as you lower the temperature to a level well below the characteristic level. FC can be thought of as the reverse process to ZFC. If the effect you're measuring doesn't reverse using ZFC-FC, then you have something interesting on your hands.
Does the set of all sets other than the empty set include the empty set?
The collection of all sets minus the empty set is not a set (it is too big to be a set) but instead a proper class. See Russell's paradox for why it would be problematic to consider this a set. According to axioms of standard ZFC set theory, not every intuitive "collection" of sets is a set; we must proceed carefully when reasoning about what is a set according to ZFC.
What are the types of axioms?
There are two types of mathematical axioms: logical and non-logical. Logical axioms are the "self-evident," unprovable, mathematical statements which are held to be universally true across all disciplines of math. The axiomatic system known as ZFC has great examples of logical axioms. I added a related link about ZFC if you'd like to learn more. Non-logical axioms, on the other hand, are the axioms that are specific to a particular branch of mathematics, like arithmetic, propositional calculus, and group theory. I added links to those as well.
Can we define the cardinal number as the number of subsets of that set?
No. The number of subsets of that set is strictly greater than the cardinality of that set, by Cantor's theorem. Moreover, it's consistent with ZFC that there are two sets which have different cardinality, yet have the same number of subsets.
Where it can be implemented?
I assume you mean "What is the implementation of mathematics in set theory." This article examines the implementation of mathematical concepts in set theory. The implementation of a number of basic mathematical concepts is carried out in parallel in ZFC (the dominant set theory) and in NFU, the version of Quine's New Foundations shown to be consistent by R. B. Jensen in 1969 (here understood to include at least axioms of Infinity and Choice). What is said here applies also to two families of set theories: on the one hand, a range of theories including Zermelo set theory near the lower end of the scale and going up to ZFC extended with large cardinal hypotheses such as "there is a measurable cardinal"; and on the other hand a hierarchy of extensions of NFU which is surveyed in the New Foundations article. These correspond to different general views of what the set-theoretical universe is like, and it is the approaches to implementation of mathematical concepts under these two general views that are being compared and contrasted. It is not the primary aim of this article to say anything about the relative merits of these theories as foundations for mathematics. The reason for the use of two different set theories is to illustrate that multiple approaches to the implementation of mathematics are feasible. Precisely because of this approach, this article is not a source of "official" definitions for any mathematical concept. -from Wikipedia
What is the difference between a conjecture and an axiom?
First off, I'll explain what axioms are since they are of fundamental importance to abstract algebra and math in general. In mathematical logic, an axiom is an underivable, unprovable statement that is accepted to be truth. Axioms are, therefore, statements which form the mathematical basis from which all other theorems can be derived. The most well-known modern examples of mathematical axioms are those of the axiomatic set theory known as ZFC.The Zermelo-Fraenkel set theory with the axiom of choice added to it, abbreviated ZFC, is the axiomatic set theory which provides our basis for math. There are nine axioms in the theory:1) Two sets are equal if and only if they have the exact same members.2) A set can't be an element of itself.3) If there is a property that is characteristic of the elements of a set, a subset of that set exists containing the elements that satisfy the property.4) A set exists containing exactly all of the members of two given sets.5) A set exists whose elements are the members of the members (the union) of a given set.6) The image of any function on a set is also a set.7) There is a set that contains all of the natural numbers.8) Every set has a power set; i.e. the set of all possible subsets of the original set.9) Every set can be well-ordered such that every subset of the set has a "least" element under the ordering.All nit-picking aside, these nine axioms are mathematically unprovable and therefore must be assumed true for mathematics to work.A conjecture, as opposed to an axiom, is an unproved (not unprovable) statement that is also generally accepted to be true. The subtle difference between the two terms is basically that an axiom has been proven to be unprovable, whereas a conjecture hasn't.See the related link for more information about ZFC.
