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Year 7 is an educational year group in schools in many countries including England, Wales, Australia and New Zealand. It is the seventh full year (or eighth in Australia and England) of compulsory education and is roughly equivalent to grade 6 in the United States and Canada (or to grade 7 for the Australian Year 7). Children in this year are ...
The integral trace form, an integer-valued symmetric matrix is defined as = / (), where b 1, ..., b n is an integral basis for . The discriminant of K {\displaystyle K} is defined as det( t ). It is an integer, and is an invariant property of the field K {\displaystyle K} , not depending on the choice of integral basis.
The primes form an infinite sequence 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ... Composite number: A positive integer that can be factored into a product of smaller positive integers. Every integer greater than one is either prime or composite.
For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a 1 {\displaystyle a_{1}} and the common difference of successive members is d {\displaystyle d} , then the n {\displaystyle n} -th term of the sequence ( a n {\displaystyle a_{n ...
In mathematics, a product is the result of multiplication, or an expression that identifies objects (numbers or variables) to be multiplied, called factors. For example, 21 is the product of 3 and 7 (the result of multiplication), and x ⋅ ( 2 + x ) {\displaystyle x\cdot (2+x)} is the product of x {\displaystyle x} and ( 2 + x ) {\displaystyle ...
A candidate reaching the correct answer will receive full marks, regardless of the method used to answer the question. All the questions that are attempted by a student and not crossed out will be assessed. However, only the six best answers will be used in the calculation of the final grade for the paper, giving a total maximum mark of 120.