A KeWord In Context (KWIC) index is a simple index for a list of lines or titles. This assignment involves creating a KWIC index for an input list of titles stored in a file. Here's a small example. For the input file:
The Maltese Falcon
The Big Sleep
your program should produce the output:
3 The Big Sleep .
1 Casablanca .
2 The Maltese Falcon .
2 The Maltese Falcon
3 The Big Sleep .
As you can see, each title is listed for each word (omitting some minor words). The titles are arranged so that the word being indexed is shown in a column on the page. The position the lines have in the input file is shown on the left in the result.
Your Python solution should follow the following rules:
Goldbach's conjecture is one of the oldest unsolved problems in number theory and in all of mathematics. It states:
Every even integer greater than 2 is a Goldbach number, i.e., a number that can be expressed as the sum of two primes.
Expressing a given even number as a sum of two primes is called a Goldbach partition of the number. For example,
04 = 2 + 2 6 = 3 + 3 8 = 3 + 5
10 = 7 + 3 12 = 5 + 7 14 = 3 + 11
16 = 5 + 11 18 = 7 + 11 20 = 7 + 13
Write the following Python functions:
You are to write a class Matrix for representing and manipulating integer matrices. An instance of this class stores the elements of a matrix as a list of lists of integers, and provides methods for the operations of matrix equivalence, matrix copy, matrix addition, scalar-matrix multiplication, matrix-matrix multiplication, matrix transposition, and matrix norm -- the "size" of a matrix. Override the appropriate operators and raise the appropriate exceptions.
We first define these operations, and then give a skeleton of the Matrix class showing the signatures for all methods and constructors you must implement.
Let aij denote the i,j-th element of matrix A, located at row i, column j. Using this notation, the matrix operations listed above may be defined precisely as follows:
Note that in each case we state the proper matrix dimensions for the operation to be valid. For example, when multiplying two matrices A and B, the number of columns of A must match the number of rows of B.