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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose.
- Algebra
x 2-1. x 2-2x+1. ab 2 +3a 3 b-5ab. x 3 +1. 1. a + b + 1. a -...
- Basic
Hence, with n = 1/2 in the power rule, (d) Since f(x) = x-1,...
- Advanced
Find the slope of the tangent line to the graph of the...
- Arithmetics
A matrix containing only zero elements is called a zero...
- Inverse
Verify that MI = M and IM = M. The 2 X 2 identity matrix...
- Determinant
The determinant of a 2 x 2 matrix A, is defined as NOTE...
- Solve Equations and Inequalities
4x - 2 = 3x + 1. Solution We substitute the value 3 for x in...
- Tutorials
See school math articles . Quadratic equations are a little...
- Algebra
If we're working exclusively with real numbers then the fundamental theorem of algebra tells us that a polynomial function of degree \(n\): \[f(x) = a_nx^n + a_{n-1}x^{n-1} + \dots + a_1x+a_0\] can have upto \(n\) real roots.
THE FUNDAMENTAL THEOREM OF ARITHMETIC. If (1) p 1, p 2, p 3, … , p n and q 1, q 2, q 3, … , q m are primes (both groups written in order of increasing size) and if (2) p 1p 2p 3…p n = q 1q 2q 3…q m, then p 1 = q 1, p 2 = q 2, … , p n = q m and hence m = n. The Fundamental Theorem of Arithmetic Outline of the Proof It would be ...
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Q από το G έως x = 1.0 m ) φορέα. Να σχεδιασθούν τα διαγράμματα τεμνουσών [Q] και καμπτικών ροπών [M] του φορέα και να προσδιορισθούν οι μέγιστες ροπές (τιμή και θέση).
The fundamental theorem of arithmetic (FTA), also called { the unique factorization theorem, or { the unique prime factorization theorem, is supposed to say the following, roughly: (FTA, tentative version) Every natural number greater than or equal to 2 has a unique prime factorization. 1.1 Is a prime factorization a set of primes?
Theorem 3 Let a ∈ N, a ≥ 2. If a is not a perfect square, then √ a is irrational. We will require the following lemma. Lemma 3 Let a ∈ N, a ≥ 2. Write a in its canonical form: a = pa1 1 p a2 2 ···p r r, with each p i distinct and a i ≥ 1. Then a is a perfect square if and only if every a i is even. Daileda FTA
