Is "infinity" + 1 = "infinity" ? + Example - Socratic
If we define the natural numbers in this way then if A and B are disjoint sets, we can define addition as: abs (A) + abs (B) = abs (A uu B) What happens if you extend this to infinite sets, for example the set …
If a_k in RR^+ and s = sum_ (k=1)^na_k. Prove that for any n > 1 we ...
Define "f" (n) = sum_ (k=0)^n s^k/ (k!). "f"' (n)= sum_ (k=0)^n ks^ (k-1)/ (k!), "f"' (n) = sum_ (k=0)^ (n-1) s^k/ (k!), "f"' (n) = "f" (n-1). "f" (n) is increasing for n in ZZ^+ if "f"' (n)>0. "f"' (n)>0 if "f" (n-1)>0. "f" …
How can you define a function with domain the whole of
How can you define a function with domain the whole of R and range the whole of C? (It is possible to define a bijection constructively) Precalculus Functions Defined and Notation Range
Question #84282 - Socratic
Let n be the number of nickels she has. Using that, she has n nickels, 4n dimes, and 85-5n pennies. Let's define our variable: Let n be the number of nickels she has. According to that, we have: she has …
How does the kinetic theory of matter define heat? - Socratic
Kinetic theory of matter advocates atomism. We have a large number of identical (in some cases non identical as well) gas molecules moving with superb speed in all sorts of directions. All the thermal …
Question #d1ce2 - Socratic
One big difference is that the complex numbers cannot be ordered in a way that is compatible with arithmetic. I don't know what you are thinking of when you say the complex and real planes. I'll talk …
Question #de1b8 + Example - Socratic
Definitions of Energy vary a little by state standards. And scientists aren't always very good about using terms consistently. Chemists, for example, like to speak of entropy instead. If you are in a state …
Question #7828a + Example - Socratic
1) Biotic and abiotic factors together create and define the ecosystem. 2) Furthermore, these biotic and abiotic factors sometimes are mutually interactive and influence each other 1) An ecosystem is …
4x^3-6x is symmetric with respect to where? - Socratic
May 4, 2018 · The graphic of the function x|->4x^3-6x is symmetric with respect to the origin of the axes system. Let the graphic of our function be Psi_f with f(x) = 4x^3-6x, f:RR->RR. There are two …
Question #7a413 + Example - Socratic
It would define the geometric shape of the lens to obtain the desired optical properties. The structure would be were a lens is defined as concave or convex, as well as the desired curvature of that form.