
Hovhannes Khudaverdian's notes
... of arithmetical operations ”+”, ”-”, ”×”, ”:” and n-th roots. But what about a given polynomial equation of the order n ≥ 5 Abel Theorem states that roots of the equation x5 + ax4 + bx3 + cx2 + dx + e = 0 cannot be expressed via coefficients a, b, c, d, e, if we use only radicals and arithmetic oper ...
... of arithmetical operations ”+”, ”-”, ”×”, ”:” and n-th roots. But what about a given polynomial equation of the order n ≥ 5 Abel Theorem states that roots of the equation x5 + ax4 + bx3 + cx2 + dx + e = 0 cannot be expressed via coefficients a, b, c, d, e, if we use only radicals and arithmetic oper ...
Chapter4
... • The Euclidian algorithm is an efficient method for computing the greatest common divisor of two integers. It is based on the idea that gcd(a,b) is equal to gcd(a,c) when a > b and c is the remainder when a is divided by b. Example: Find gcd(91, 287): ...
... • The Euclidian algorithm is an efficient method for computing the greatest common divisor of two integers. It is based on the idea that gcd(a,b) is equal to gcd(a,c) when a > b and c is the remainder when a is divided by b. Example: Find gcd(91, 287): ...
Matching in Graphs - Temple University
... time. It was developed and published by Harold Kuhn in 1955, who gave the name "Hungarian method" because the algorithm was largely based on the earlier works of two Hungarian mathematicians: Dénes Kőnig and Jenő Egerváry. James Munkres reviewed the algorithm in 1957 and observed that it is (strong ...
... time. It was developed and published by Harold Kuhn in 1955, who gave the name "Hungarian method" because the algorithm was largely based on the earlier works of two Hungarian mathematicians: Dénes Kőnig and Jenő Egerváry. James Munkres reviewed the algorithm in 1957 and observed that it is (strong ...
Data-Oblivious Data Structures
... (branching-sensitive) static information flow control [14, 13]. For example, we may specify that (i) a register is tagged as secret when its value is read from a secret memory location or is updated based on another secret register; (ii) a register does not become public again until it is directly o ...
... (branching-sensitive) static information flow control [14, 13]. For example, we may specify that (i) a register is tagged as secret when its value is read from a secret memory location or is updated based on another secret register; (ii) a register does not become public again until it is directly o ...
CHAPTER 3: Cyclic Codes
... IV054 Hamming codes as cyclic codes Definition (Again!) Let r be a positive integer and let H be an r * (2r -1) matrix whose columns are distinct non-zero vectors of V(r,2). Then the code having H as its parity-check matrix is called binary Hamming code denoted by Ham (r,2). It can be shown that: T ...
... IV054 Hamming codes as cyclic codes Definition (Again!) Let r be a positive integer and let H be an r * (2r -1) matrix whose columns are distinct non-zero vectors of V(r,2). Then the code having H as its parity-check matrix is called binary Hamming code denoted by Ham (r,2). It can be shown that: T ...