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Is the definition of a transcendental field extension necessarily impredicative?

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#logic #field-theory #transcendental-numbers
171
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Proving an identity for $\sum_{m,n\in\mathbb{Z}_{>0}}\frac{\gcd(m,n)^r}{m^sn^t}$.

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#number-theory #summation #analytic-number-theory #riemann-zeta #transcendental-numbers
315
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Unique solution of $x = \cos\left(\frac{x}{2}\right)$

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#real-analysis #numerical-methods #transcendental-numbers
88
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Proving that a number is transcendental

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#transcendental-numbers
220
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Real irrational algebraic numbers "never repeat"

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#decimal-expansion #transcendental-numbers #algebraic-numbers
780
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Representation of Transcendental number via continued fractions

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#continued-fractions #transcendental-numbers
1.1k
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Constructing an infinite chain of subfields of 'hyper' algebraic numbers?

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#real-analysis #field-theory #transcendental-numbers
116
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How do you turn an irrational, non-transcendental number, like 1.618... back to its form of (a + sqrt(b))/c.

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#number-theory #quadratics #transcendental-numbers
105
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Can an algebraic function contain transcendental constants?

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#algebra-precalculus #soft-question #transcendental-numbers
71
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Proof that $(n+1)m!>(m+1)!−1$ does not hold for $m>n$

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#proof-writing #transcendental-numbers #liouville-numbers
168
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On Liouville numbers and the Continuum Hypothesis

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#real-analysis #elementary-set-theory #transcendental-numbers
134
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$e$ in Roth's Theorem

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#transcendental-numbers
143
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Is $\Gamma{(\frac{1}{5})}$ transcendental?

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#gamma-function #transcendental-numbers
261
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Every transcendental number satisfies a power series

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#reference-request #transcendental-numbers
744
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Major misunderstanding about field extensions and transcendence degree

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#commutative-algebra #field-theory #extension-field #transcendental-numbers

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