An algebraic function is a function built from polynomial and combined with +,*,-,/ signs. The transcendental it is not built from polynomial like X the power of Pie plus 1. this function is transcendental because the power pi is not integer number in result it can't be a polynomial.
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An equation has an equal = sign whereas an expression does not.
There is no difference between vector addition and algebraic addition. Algebraic Addition applies to vectors and scalars: [a ,A ] + [b, B] = [a+b, A + B]. Algebraic addition handles the scalars a and b the same as the Vectors A and B
An irrational number is a number that cannot be represented as a fraction involving two integers. A transcendental number is a number that cannot be repesented as a polynomial with rational coefficients. Two notable transcendental numbers are pi and e.
The differnce between a verbal model and a algebraic model is that a verbal model is an equation written in words and a algebraic model is solving the equation from the verbal model.
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