This allows us to check the first constraint arising from the inelastic exponentiation put forward in refs. [1–3], and to calculate the 2 → 3 one-loop matrix element of theN-operator, linked to theS-matrix byS=eiN, showing that it is real, classical and free of infrared divergences. ...
size()) {} static Matrix identity_matrix(int n) { vector< vector<int> > values(n, vector<int>(n, 0)); for(int i = 0; i < n; i++) values[i][i] = 1; return values; } Matrix operator*(const Matrix &other) const { int n = n_rows, m = other.n_cols; vector< vector...
While this algorithm is relatively efficient, performing in liner time or O(n), it could be improved. In fact we could do the same task in O(log(n)+log(n)). How? By using a method calledexponentiation by squaring. Here’s the basic idea: for any a^b, if a b is even we could...
Multiplication operator in abstract group. Fast Exponentiation Often, the speed of an exponentiation determines its practicality. Various factors affect the speed and efficiency of exponentiation. Such factors include: which group or other algebraic system is being used, the hardware the system is impl...
The operator ** indicates an exponentiation operation. For example, A **k represents Ak. The calculation of the above equation is performed by unit 16b. Next, unit 11b sends the generated public key YA to device 30b via transmitter-receiver unit 12b and the Internet 2. Unit 11b also ...
In [14], but also in all recent papers considering the problem of cryptographic protocols analysis in presence of an algebraic operators =-=[9, 10, 31, 6]-=-, the equalities induced by the theory of the operator are hard-wired into the deduction system and into the proof. The proofs ...
{circle around (×)} Multiplication operator in abstract group. Fast Exponentiation Often, the speed of an exponentiation determines its practicality. Various factors affect the speed and efficiency of exponentiation. Such factors include: which group or other algebraic system is being used, the hardwa...