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What does factor theorem mean?
In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.The factor theorem states that a polynomial has a factor if and only if
What is unique factor?
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.
What is the proof for the pythoagorean theorem?
Consult any textbook on Euclidean geometry.
What are Elisha S Loomis' proofs?
Loomis was an American teacher and is famous for publishing, in 1940, a book entitled "The Pythagorean Proposition" which contained 370 different proofs of Pythagoras's theorem. The proofs are not his but from mathematicians over the centuries. The book contains a proof by Euclid, by the Indian mathematician, Bhaskara, by ancient Chinese, as well as by more modern mathematicians such as Legendre, Leibniz, and Huygens and by a former president of the United States, James Garfield. There are also several proofs discovered by high school students.
Does each natural number greater than one have its own unique prime factorization?
In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integergreater than 1 either is prime itself or is the product of prime numbers, and that this product is unique, up to the order of the factors.
How is the Fundamental theorem of algebra used today?
Algebra is used for mathematics
Who invented the fundamental theorem of algebra?
Carl Friedrich Gauss...
What are conceqences of liouville theorem of complex?
The Liouville theorem states that every bounded entire function must be constant and the consequences of which are that it proves the fundamental proof of Algebra.
Who proved fundmental theorem of algebra?
The fundamental theorem of algebra was proved by Carl Friedrich Gauss in 1799. His proof demonstrated that every polynomial equation with complex coefficients has at least one complex root. This theorem laid the foundation for the study of complex analysis and was a significant contribution to mathematics.
How can you work out pythagorass theorem?
There are a great number of different proofs of the Pythagorean Theorem. Unfortunately, many of them require diagrams which are hard to reproduce here. Check out the link to Wikipedia's page on the theorem for several different proofs.
Did anyone oppose to the pythgreom theorm?
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
Who proved the pythagorean theorem?
Pythagoras, with alternative proofs from lots of others.
What did carl f gauss discover in maths?
He proved the "fundamental theorem of algebra" and developed a method of minimizing statistical error called "the method of least squares" which is still used today.
Who are the best mathematicians at algebra?
the best mathematician at algebra are Pythagoras because of him, there is pythagorean theorem
What is a statement that has been deducitvely proven and can be used as a reason in future proofs?
Theorem
A is a statement that has been deductively proven and can be used as a reason in future proofs?
theorem
What is fundamental theorem of arithmetic in 6th grade math?
The Fundamental theorem of arithmetic states that every naturalnumber is either prime or can be uniquely written as a productof primes.
