For example, at a basic level the Complex numbers form a #2# dimensional vector space over the Real numbers. If you have encountered dot product and cross product of vectors you have …

Sort of. See explanation for clarification. By the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n roots, though some of these roots may occur more than once, and …

All real numbers All linear equations have the same domain and range: All real numbers.

Our teacher told us to calculate lateral limits for, in this case, 0 and 3 and find if either is infinite as x approaches from right and left. But if that's the case then what happens when calculating the …

A rank-m tensor is a mathematical object that represents N^m real numbers, where N is the dimension of space. rank-0 Tensor: represents a single real number and is usually called a …

Jun 22, 2018 · Because there are no restrictions on the value of x AND because this is a linear transformation: The Range is the set of all Real Numbers or {RR}

Nov 26, 2017 · So if the set of numbers is closed under Cauchy sequences then the limit exists. Such is true of the set of Real numbers, so the assertion that a_n converges is true. Footnote …

Basically the same as we do with the real numbers. Perhaps if we rewrite this as: (3+2i)* (1-3i) then we mulitply 3 from the first paranthesis with the both constituents from the second. We do …

S:x in ]-oo;0 [uu [1+sqrt2;+oo [ 1/x<=|x-2| D_f:x in RR^"*" for x<0: 1/x<=- (x-2) 1> -x²-2x x²+2x+1>0 (x+1)²>0 x in RR^"*" But here we have the condition that x<0 ...

Here put in #y= {\pi}/ {4}# and #\sin (x+y)= {1}/ {2}#. Then we have the following possibilities: (1) #x+ {\pi}/ {4}= {\pi}/ {6}+2m\pi# (2) #x+ {\pi}/ {4}= {5\pi}/ {6 ...