The document contains several algorithms contributed by various authors, each with a specific purpose and implementation details. Here are the key points: 1. **Algorithm 93: General Order Arithmetic** by Millard H. Perstein: - This algorithm performs arithmetic operations with non-commutative properties, including addition, multiplication, exponentiation, tetration, and higher-order operations. - It was originally programmed in FORTRAN for the Control Data 160 computer, limited to tetration due to subroutine recursion restrictions. 2. **Algorithm 94: Combination** by Jerome Kurtzberg: - This algorithm generates combinations of N integers taken K at a time. - It ensures the integers in the combination are monotonically strictly increasing and can handle initial combinations from zero. 3. **Algorithm 95: Generation of Partitions in Part-COUNT Form** by Frank Stockmal: - This algorithm operates on partitions of a positive integer N into parts ≤ K. - It produces the next partition in the sequence, ignoring the input array if G is false, and storing the result in the array if G is true. 4. **Algorithm 96: Ancestor** by Robert W. Floyd: - This algorithm determines if individual i is an ancestor of individual j in a directed graph. - It uses a Boolean matrix to track parent relationships and updates the matrix to reflect ancestor relationships. 5. **Algorithm 97: Shortest Path** by Robert W. Floyd: - This algorithm finds the shortest path between points in a network. - It uses a modified version of Warshall's algorithm to compute the shortest path distances. 6. **Algorithm 98: Evaluation of Definite Complex Line Integrals** by John L. Pfaaltz: - This algorithm approximates complex line integrals using a Riemann-Stieltjes sum. - It requires the programmer to provide procedures for calculating the function and the parametric interval. 7. **Algorithm 99: Evaluation of Jacobi Symbol** by Stephen J. Garland and Anthony W. Knapp: - This algorithm computes the Jacobi symbol $(n / m)$ using the law of quadratic reciprocity. - It tests whether m and n are relatively prime and provides a test for quadratic residues. 8. **Algorithm 100: Add Item to Chain-JLinkedList** by Philip J. Kiviatt: - This algorithm adds an information pair to a chain-linked structured matrix. - It handles the insertion of new entries into the list and updates the list structure. 9. **Algorithm 101: Remove Item From Chain-LLinkedList** by Philip J. Kiviatt: - This algorithm removes the first entry from a chain-linked list and updates the list structure. 10. **Algorithm 102: Permutation in Lexicographical Order** by G. F. Schraak and M.The document contains several algorithms contributed by various authors, each with a specific purpose and implementation details. Here are the key points: 1. **Algorithm 93: General Order Arithmetic** by Millard H. Perstein: - This algorithm performs arithmetic operations with non-commutative properties, including addition, multiplication, exponentiation, tetration, and higher-order operations. - It was originally programmed in FORTRAN for the Control Data 160 computer, limited to tetration due to subroutine recursion restrictions. 2. **Algorithm 94: Combination** by Jerome Kurtzberg: - This algorithm generates combinations of N integers taken K at a time. - It ensures the integers in the combination are monotonically strictly increasing and can handle initial combinations from zero. 3. **Algorithm 95: Generation of Partitions in Part-COUNT Form** by Frank Stockmal: - This algorithm operates on partitions of a positive integer N into parts ≤ K. - It produces the next partition in the sequence, ignoring the input array if G is false, and storing the result in the array if G is true. 4. **Algorithm 96: Ancestor** by Robert W. Floyd: - This algorithm determines if individual i is an ancestor of individual j in a directed graph. - It uses a Boolean matrix to track parent relationships and updates the matrix to reflect ancestor relationships. 5. **Algorithm 97: Shortest Path** by Robert W. Floyd: - This algorithm finds the shortest path between points in a network. - It uses a modified version of Warshall's algorithm to compute the shortest path distances. 6. **Algorithm 98: Evaluation of Definite Complex Line Integrals** by John L. Pfaaltz: - This algorithm approximates complex line integrals using a Riemann-Stieltjes sum. - It requires the programmer to provide procedures for calculating the function and the parametric interval. 7. **Algorithm 99: Evaluation of Jacobi Symbol** by Stephen J. Garland and Anthony W. Knapp: - This algorithm computes the Jacobi symbol $(n / m)$ using the law of quadratic reciprocity. - It tests whether m and n are relatively prime and provides a test for quadratic residues. 8. **Algorithm 100: Add Item to Chain-JLinkedList** by Philip J. Kiviatt: - This algorithm adds an information pair to a chain-linked structured matrix. - It handles the insertion of new entries into the list and updates the list structure. 9. **Algorithm 101: Remove Item From Chain-LLinkedList** by Philip J. Kiviatt: - This algorithm removes the first entry from a chain-linked list and updates the list structure. 10. **Algorithm 102: Permutation in Lexicographical Order** by G. F. Schraak and M.