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For given low class number (such as 1, 2, and 3), Gauss gives lists of imaginary quadratic fields with the given class number and believes them to be complete. Infinitely many real quadratic fields with class number one Gauss conjectures that there are infinitely many real quadratic fields with class number one.
CLiX (markup), a formal XML schema validation language and method of using valid XML for overlapping markup; Clix (miniatures), a system of miniatures games produced by WizKids; CLIX (Unix version), developed by Intergraph; iriver clix, rebrand of the iriver U10, a multimedia player
Negative numbers: Real numbers that are less than zero. Because zero itself has no sign, neither the positive numbers nor the negative numbers include zero. When zero is a possibility, the following terms are often used: Non-negative numbers: Real numbers that are greater than or equal to zero. Thus a non-negative number is either zero or positive.
On the other hand, the maximal real subfields Q(cos(2π/2 n)) of the 2-power cyclotomic fields Q(ζ 2 n) (where n is a positive integer) are known to have class number 1 for n≤8, [8] and it is conjectured that they have class number 1 for all n. Weber showed that these fields have odd class number.
Some instructors schedule a daily or weekly quiz ranging from five to thirty relatively easy questions for the purpose of having the students review their previous lessons before attending the next class. A "pop quiz" is a quiz that students are given no time to prepare for; they are simply surprised with it in class. [citation needed]
For D > 0, ω is a positive irrational real number, and the corresponding quadratic integer ring is a set of algebraic real numbers. The solutions of the Pell's equation X 2 − DY 2 = 1 , a Diophantine equation that has been widely studied, are the units of these rings, for D ≡ 2, 3 (mod 4) .
For one, the quiz show seems eerily similar to real life television tournaments like Jeopardy! and the sister dynamic is a little too on point. Turns out, there are some true elements to the Quiz ...
The long real line pastes together ℵ 1 * + ℵ 1 copies of the real line plus a single point (here ℵ 1 * denotes the reversed ordering of ℵ 1) to create an ordered set that is "locally" identical to the real numbers, but somehow longer; for instance, there is an order-preserving embedding of ℵ 1 in the long real line but not in the real ...