Are these two functions equal?

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When are two modular functions equal?

Suppose $f, g \in M_{k}(\Gamma)$ for some $\Gamma$ a congruence subgroup of $PSL_{2}(\mathbb{Z})$. If $k \geq 1$ then it is a finite computation to determine whether or not $f = g$. What if $k = 0$, that is, if $f$ and $g$ are both modular functions and I know their $q$-expansions, how can I tell when $f = g$?

Answer:

As Qiaochu has pointed out, the answer to this question depends on what exactly you mean by "modular...

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Other solutions

Are these two functions equal?

f(x)=2x+7 and g(x)=3+x+4+x determine whether they are equal and explain your answer. 10 POINTS BEST ANSWER THANK YOU SM

Answer:

They are equal. In order to prove that they are equal, we must show that g(x) = f(x). We start with...

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EQQF5BOABIWIUIFMQZWYQQUHQM at Yahoo! Answers Mark as irrelevant Undo

Microeconmics: logarithmic utility functions and demand in a two persons two goods market!?

Given: Two Persons two goods with; 1. Utility Functions: For Person A: U(A) = ln (x1) + ln (x2) For Person B: U(B) = ln (x1) + ln (x2) 2. Budget restriction: Good one: (2, 2) Good two: (2, 0) Wanted: - Do you think that the Contract line between the...

Answer:

Yes, it would be diagonal. left sloping downward to the right. no, the equilibrium would not be 1

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How does one evaluate the inner product between two antisymmetrized gaussian functions?

I have an n-dimensional simple Gaussian function.  f(x) = exp(-a* |x - k|^2)  where a is a scalar, x is a vector, k is a vector.  k is the center of the Gaussian. Assume I have two such Gaussian functions with different values of a and k.  Assume I apply...

Answer:

Let [math]|\Psi(x_1, x_2)\rangle[/math]  be [math]\frac{1}{\sqrt{2}}\left( |\psi_1(x_1)\rangle|\psi...

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Answer:

The derivative of the product of 2 functions is equal to the first function times the derivative of...

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Kirsten D. at ChaCha Mark as irrelevant Undo

Answer:

No, the product rule states that the derivative of the product of two functions is equal to the derivative...

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In C++, while defining two functions, can those two functions have the same variables as formal arguments?

consider two different function calls functionA(3,5); functionB(8,9); while defining those functions, can they both have the same variables m and n as formal arguments? Like... void functionA(int m, int n) { function body; } void functionB(int m,int...

Answer:

yes you can. there should be no problem. try this program if you want. #include<iostream> #include...

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In C++, while defining two functions, can those two functions have the same variables as formal arguments?

consider two different function calls functionA(3,5); functionB(8,9); while defining those functions, can they both have the same variables m and n as formal arguments? Like... void functionA(int m, int n) { function body; } void functionB(int m,int...

Answer:

If they have the same function name; no --> As this means their signature is the same. If they have...

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A student puts two functions into a calculator and graphs them. The sum of the functions produces a beat perio?

A student puts two functions into a calculator and graphs them. The sum of the functions produces a beat period of 253 milli-seconds. If one function had a frequency of 296.1 Hz, what was a possible higher frequency of the other function?

Answer:

frequency = 1/period time f = 1/T fbeat = 1/0.253 = 3.952 Hz fbeat = f1 - f2 3.952 = f1 - 296.1 f1 ...

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Thinking how our brain functions while retrieving old memories, but not able to retrieve older memories not accessed for long time. Clearly something similar to LRU cache algorithm functions. But which of the following two methods would it be?

Thinking how our brain functions while retrieving old memories, but not able to retrieve older memories not accessed for long time. Clearly something similar to LRU cache algorithm functions. But which of the following two methods would it be? 1. Is...

Answer:

This theory of working of brain I read somewhere may answer your question. Before seeing how retrieval...

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