## doublespend – How does the double expense of bitcoin affect the omni sets?

I have a question about omni layer and bitcoin double-gas. I would be very grateful if someone answered.

## nt.number theory – Double Cosets and Weber's function

Leave $$n$$ be an odd positive integer leave $$mathcal M_n$$ is the set of all $$2$$-by-$$2$$ Primitive matrices with integral entries and with determinant. $$n$$.

Leave $$Gamma$$ be the subgroup of $$operatorname {SL} _2 ( mathbb Z)$$ generated by the matrices $$T ^ 2 = begin {pmatrix} 1 & 2 \ 0 & 1 end {pmatrix}$$ Y $$S = begin {pmatrix} 0 & -1 \ 1 & 0 end {pmatrix}$$.

So
$$Gamma = bigg lbrace begin {pmatrix} a & b \ c & d end {pmatrix}: begin {pmatrix} a & b \ c & d end {pmatrix} equiv begin {pmatrix} 1 & 0 \ 0 & 1 end {pmatrix} text {or} begin {pmatrix} a & b \ c & d end {pmatrix} equiv begin pmatrix} 0 & 1 1 & 0 end {pmatrix} text {mod} 2 bigg rbrace.$$

How many cosets are there in $$Gamma backslash mathcal M_n / Gamma$$ ?

Leave $$r, s, t$$ be positive integers suppose that $$rt = n$$, $$s <2t$$, cast $$s$$ even. There are matrices $$A, B in Gamma$$ such that $$A begin {pmatrix} n & 0 \ 0 & 1 end {pmatrix} B = begin {pmatrix} r & s \ 0 & t end {pmatrix}$$?

Motivation.

The Hauptmodul for the group. $$Gamma$$ is the function
$$mathfrak f ( tau) ^ {24} = q ^ {- 1/2} prod_ {k = 1} ^ { infty} (1 + q ^ {n-1/2}).$$
Leave $$Phi_n (X)$$ be the minimum polynomial of $$mathfrak f (n tau) 24$$ finished $$mathbb C ( mathfrak f ^ {24})$$. Is $$mathfrak f left ( frac {r tau + s} {t} right)$$ a root of $$Phi_n (X)$$?

## procedures: double citizenship with the US UU and Australia, but with only a US passport. UU

Probably not. As Australian citizens, their children are not eligible to receive ETA, and they will not be allowed to travel on the plane without one. If you arrive at the border with Australia, there may be some problems while things are resolved, and more problems if you leave the country without an Australian passport (although you can request one while you are in the country to avoid this).

Having said that, some people have reported that they request ETA as Americans and that (incorrectly) they have been granted one anyway, so their mileage may vary.

## Differential geometry – Double frame in Riemannian metrics.

Suppose we have a Riemannian metric. $$ds ^ 2 = Edu ^ 2 + 2Fdudv + Gdv ^ 2$$ in a coordinated local neighborhood $$(U; (u, v))$$ Prove that for the following vector fields:

$$e_ {1} = frac {1} { sqrt {E}} frac { partial} { partial u}, e_ {2} = frac {-1} { sqrt {EG- F ^ 2}} left ( frac {F} { sqrt {E}} frac { partial} { partial} – sqrt {E} frac { partial} { partial v} right )$$

the $$1-$$shapes:
$$omega_1 = sqrt {E} left (du + frac {F} {E} dv right), omega_2 = sqrt { frac {EG-F ^ 2} {E}} dv PS$$
satisfy
$$omega_i (e_k) = delta_ {ik}$$

My work: Let $$p (u, v)$$ A differentiable function, I believe that I must show fervently that $$omega_1 (e_1 (p)) = p$$, that is to say $$omega_1 (e_1) = 1$$ The identity function.

$$omega_1 left ( tfrac {1} { sqrt {E}} tfrac { partial} { partial u} (p) right) = tfrac {1} { sqrt {E}} tfrac { partial} { partial u} ( omega_1 (p))$$
I do this because a $$1-form$$ $$alpha$$ It is such that $$alpha (fX) = f alpha (X)$$. Then it is correct that
$$omega_1 (p) = sqrt {E} left (pdu + frac {F} {E} pdv right)?$$
and then apply the partial derivative, my problem is that I do not know how to operate the $$1$$-to form. Anyone can guide me on how I can achieve the result or an explicit way to operate $$omega_1$$ Y $$omega_2$$?

I am using the book "Umehara, differential geometry of surfaces".

## Failed to deallocate Matrix – double free or corruption C

Hi, I'm having a problem trying to free in an assigned array, I'm doing a program to rotate an array, after assigning I execute a function and then the free does not work, returning the double free error or corruption

cop = malloc (x * sizeof (long int *));
(int k = 0, k <x, k ++)
{
cop[k] = malloc (and * sizeof (long int *));
}

transfected (mat, COP, Lin, et al, theta variables);

(int i = 0; i <x; i ++)
{
free (COP[i]);
}
free (COP);


The function used is the following:

empty transferase (long mat ** int, long int ** policeman, long lin int, long, int col, Int theta much, much int var)
{
long int value;
// x * sin (theta * PI / 180) + and * cos (theta * PI / 180);
// x * cos (theta * PI / 180) - and * sin (theta * PI / 180);
(int i = 0; i <lin; i ++)
{
(int k = 0; k) < col; k++)
{
long int a = k*cos(theta*PI/180) - i*sin(theta*PI/180);
long int b = k*sin(theta*PI/180) + i*cos(theta*PI/180);
a += var;
cop[b][a] = mat[i][k];
if (a > 0)
{
cop[b][a-1]    = mat[i][k];
}
}
}
}


This function relates the lin / col of one matrix and rotates to b / a of another (in the case, the matrix cop), x and y is the size of the matrix necessary for the image to be broken.
Theta = 90º as an example

## Double passport travel to Bali

I am a double citizen with a valid passport in the United Kingdom and an Australian passport that is less than 6 months old. I have applied for a new Australian passport, but it may not arrive before I have to go to Bali next week. Can I fly to Bali and return to Perth as an Australian citizen with a UK passport?

## double – JAVA program notes and currencies

My question is about programming. I want to know who the CDF will be:

That's the problem:
Read a floating point value with two decimals. This value represents a monetary value. Next, calculate the least number of possible bills and coins in which the value can be decomposed. The notes considered are 100, 50, 20, 10, 5, 2. The possible currencies are 1, 0.50, 0.25, 0.10, 0.05 and 0.01. Next, show the list of necessary notes.
….
….
….
I have programmed this code in Java:

import java.util.Scanner;

public class Main {

public static void main (String[] args)
{
Scanner input = new Scanner (System.in);
int int100 = 0;
int cont50 = 0;
int int20 = 0;
int int10 = 0;
int int5 = 0;
int int2 = 0;
// coins
int int1 = 0;
int cont0_50 = 0;
int int0_25 = 0;
int cont0_10 = 0;
int cont0_05 = 0;
int cont0_01 = 0;

double value;

value = input.nextFloat ();

while (value> = 100.00) {
value = value-100;
cont100 ++;
}

while (value> = 50.00) {
value = value-50;
cont50 ++;
}

while (value> = 20.00) {
value = value-20;
cont20 ++;
}

while (value> = 10.00) {
value = value-10;
cont10 ++;
}

while (value> = 5.00) {
value = value-5;
cont5 ++;
}

while (value> = 2.00) {
value = value-2;
cont2 ++;
}
// now the coins

while (value> = 1.00) {
value = value-1;
CONT1 ++;
}

while (value> = 0.50) {
value = value-0.50;
cont0_50 ++;
}

while (value> = 0.25) {

value = value-0.25;
cont0_25 ++;
}

while (value> = 0.10) {
value = value-0.10;
cont0_10 ++;
}

while (value> = 0.05) {
value = value-0.05;
cont0_05 ++;
}

while (value> = 0.01) {
value = value-0.01;
cont0_01 ++;
}

System.out.println ("notes");
System.out.println (cont100 + "note (s) of R $100.00"); System.out.println (cont50 + "note (s) of R$ 50.00");
System.out.println (cont20 + "note (s) of R $20.00"); System.out.println (cont10 + "note (s) of R$ 10.00");
System.out.println (cont5 + "note (s) of R $5.00"); System.out.println (cont2 + "note (s) of R$ 2.00");
System.out.println ("COIN");
System.out.println (cont1 + "currency (s) of R $1.00"); System.out.println (cont0_50 + "currency (s) of R$ 0.50");
System.out.println (cont0_25 + "currency (s) of R $0.25"); System.out.println (cont0_10 + "currency (s) of R$ 0.10");
System.out.println (cont0_05 + "currency (s) of R $0.05"); System.out.print (cont0_01 + "currency (s) of R$ 0.01");

}
}

The problem occurs when I put the value of R $0.02 as input, it is returned: NOTES: 0 note (s) of R$ 100.00
0 note (s) of R $50.00 0 note (s) from R$ 20.00
0 note (s) from R $10.00 0 note (s) of R$ 5.00
0 note (s) from R $2.00 COINS: 0 currency (s) of R$ 1.00
0 currency (s) of R $0.50 0 currency (s) of R$ 0.25
0 currency (s) of R $0.10 0 currency (s) of R$ 0.05
1 coin (s) of R $0.01 SHOULD HAVE RETURNS: 2 coin (s) of R$ 0.01 in the last line !!!!
This problem occurs with other values ​​that involve cents …
Well, with numbers like R \$ 100.00 and 350.00, for example, the program works perfectly.

Can someone show my code error please?

## Exalted: if you get a double 9 effect from two different sources, do they accumulate?

If my character has an artifact that gives them double-9 in the performance rolls, then use Passionate speaker technique to grant double the spell, what happens? Does that give your double-8?

## 2016: Can I disable "Allow double escape" on a SharePoint website?

We are working to strengthen our SharePoint server, and STIG V-76825 IISW-SI-000229 requires that "any double encoded URL request must be prohibited by any IIS 8.5 website." Basically, editing the Filtering request configuration of functions in IIS and uncheck the Allow double escape box.

Is this going to limit any SharePoint operation, considering the source Does the parameter escape and is used in many operations? Or things like document names?

I've done some tests, but I do not have a way to test all possible SharePoint URLs, and I have not yet found a definitive answer on the Internet. If we need to leave it marked, I have to have a good documentation of why.

## Reference request – Double pendulum phase space.

Thank you for contributing an answer to MathOverflow!