bio  website  math.tsukuba.ac.jp/~carnahan 

location  筑波市, Japan  
age  
visits  member for  4 years, 9 months 
seen  15 hours ago  
stats  profile views  15,928 
I think this is a neat project.
15h

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Any other operators that may convert agebraic function into transcendental ones
I'm not sure what you mean by transcendental function on a Riemann surface  anything holomorphic with essential singularities at isolated points? In any case, you are working with infinite dimensional vector spaces, so without further constraints the answer is still yes. 
15h

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Rational structures on the flag variety over a finite field
It is not the action of $F$ that gives $X$ the rational structure. For any field $k$ (or indeed any base scheme), and any affine $k$group $G_0$, the quotient by a closed affine subgroup $B_0$ is a $k$scheme. In your case, $F$ acts on $G/B$ by $\mathbb{F}_q$morphisms. 
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Any other operators that may convert agebraic function into transcendental ones
I am unable to understand the condition you described. It might help to use symbols. At any rate, you need to describe your ambient space of functions precisely before any such question can be answered. 
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reviewed  Leave Closed Any other operators that may convert agebraic function into transcendental ones 
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Any other operators that may convert agebraic function into transcendental ones
No it is not. There is an infinite dimensional space of such operators. You should ask such questions at math.stackexchange.com 
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reviewed  Close Conditional Distribution of Inverse Wishart 
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reviewed  Leave Open commutative algebra, diagonal morphism 
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reviewed  Close Complex Phase Problem Relating to Binary Quadratic Forms 
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reviewed  Close Any other operators that may convert agebraic function into transcendental ones 
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reviewed  Close How to test whether a distribution follows a power law? 
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Any other operators that may convert agebraic function into transcendental ones
Without further conditions on the operators, your question is a bit too trivial to belong here. 
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reviewed  Close A question on Burdzy's proof of nonincrease of Brownian motion 
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japanese/chinese for mathematicians?
Zagier's dictionary is mostly correct, but there are a few flaws. For example, "odd number" and "even number" are switched, and "satisfy" should be 満たす (mitasu) rather than 満足 which is an adjective and is more appropriate for the emotional condition of a person. 
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awarded  Necromancer 
Jul 20 
reviewed  Leave Open Vertex transitive and edge transitive and line graph 
Jul 20 
reviewed  Leave Closed Associated prime ideals and local cohomology 
Jul 20 
reviewed  Leave Closed Rational structures on the flag variety over a finite field 
Jul 20 
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Rational structures on the flag variety over a finite field
For clarification: Is $B$ defined over $\mathbb{F}_q$? 
Jul 20 
reviewed  Leave Closed Derivatives of infinite order 
Jul 20 
reviewed  Leave Closed Help with extension of f (mentioned below) to f: Zp > Zp ,continuous function 