Question
In: Advanced Math
Give an example for each of the following. Justify your answers. i) an infinite subset of...
Give an example for each of the following. Justify your answers.
i) an infinite subset of E1 with no cluster points. (consider Z)
ii) a complete metric space that is bounded but not compact (hint: consider the trivial metric space (S,d) with S being an infinite set).
Solutions
Colby Messinger answered 1 year agoRelated Solutions
Predict the elasticity of demand for movies described by each of the following statements. Justify your answers.
Predict the elasticity of demand for movies described
by each of the following statements. Justify your answers.We go to the movies two Fridays out of every month, without
exception.When the price of movies went up to $7, we quit going to
regular movies. We now wait for $3.50 Tuesday before we see a
movie. (instead of drawing the actual graph, briefly explain the
graph instead. Explain all the curves, shifts, points and axis,
intersections and labels etc).
a) Predict in which direction the following reactions will proceed. Justify your answers briefly. I. HCl...
a) Predict in which direction the following reactions will
proceed. Justify your answers briefly.
I. HCl + NaF ---- HF + NaCl
II. AlBr3 + 3 NaF ---- AlF3 + 3 NaBr
III. Ti(OMe)4 + 2 TiBr2 ---- TiBr4 + 2 Ti(OMe)2
IV. SrS + HgO ---- SrO + HgS
V. [Pt(CN)4]2- + 4 NaCl ---- [PtCl4]2- + 4 NaCN
VI. CoCl2 + CdI2 ---- CoI2 + CdCl2
VII. [Ag(NH3)2]NO3 + 2 NaSCN ---- NaNO3 + Na[Ag(SCN)2]
+ 2 NH3...
a) Predict in which direction the following reactions will proceed. Justify your answers briefly. I. HCl...
a) Predict in which direction the following reactions will
proceed. Justify your answers briefly.
I. HCl + NaF ---- HF + NaCl
II. AlBr3 + 3 NaF ---- AlF3 + 3 NaBr
III. Ti(OMe)4 + 2 TiBr2 ---- TiBr4 + 2 Ti(OMe)2
IV. SrS + HgO ---- SrO + HgS
V. [Pt(CN)4] 2- + 4 NaCl ---- [PtCl4] 2- + 4 NaCN
VI. CoCl2 + CdI2 ---- CoI2 + CdCl2
VII. [Ag(NH3)2]NO3 + 2 NaSCN ---- NaNO3 + Na[Ag(SCN)2] +...
Let A = {1,2,3}. In each part, give an example of the requested function and justify...
Let A = {1,2,3}. In each part, give an example of the requested
function and justify that your example has the required properties,
or explain why no such function exists.
(a) A function f : A → A that does not have an inverse.
(b) A function f : A → A×A that is surjective (i.e., onto).
(c) A function f : P(A) → A such that for all X ∈P(A), f(X) ∈
X.
(d) A function f : A...
5. For each set below, say whether it is finite, countably infinite, or uncountable. Justify your...
5. For each set below, say whether it is finite,
countably infinite, or uncountable. Justify your answer in each
case, giving a brief reason rather than an actual
proof.
a. The points along the circumference of a unit
circle.
(Uncountable because across the unit circle because points are
one-to-one correspondence to real numbers) so they are
uncountable
b. The carbon atoms in a single page of the
textbook.
("Finite", since we are able to count the number of atoms in...
Give an example of an SMSG axiom that is independent of the other axioms. Justify your...
Give an example of an SMSG axiom that is independent of the
other axioms. Justify your answer.
(27) Give an example of an infinite incidence geometry (i.e. an incidence geometry with an infinite...
(27) Give an example of an infinite incidence geometry (i.e. an
incidence geometry with an infinite number of points and an
infinite number of lines).
Give an example of a set A subset the real numbers for which both A and...
Give an example of a set A subset the real numbers for which
both A and the complement of A are unbounded.
Determine whether each of the following statements is TRUE or FALSE. Justify all the answers in...
Determine whether each of the following statements is TRUE or
FALSE. Justify all the answers in few sentences.
1. In the Ricardian model with 2 goods (Wine and Cheese) and 2
countries (Home and Foreign) and (except otherwise noted) identical
preferences between countries:
(a) If both countries have the same number of workers and Home
has absolute advantages in both goods then Home must have a higher
wage.
(b) The Home country is never made worse off by productivity
growth...
Determine whether each of the following statements is TRUE or FALSE. Justify all the answers in...
Determine whether each of the following statements is TRUE or
FALSE. Justify all the answers in few sentences.
1. In the Ricardian model with 2 goods (Wine and Cheese) and 2
countries (Home and Foreign) and (except otherwise noted) identical
preferences between countries:
(a) If both countries have the same number of workers and Home
has absolute advantages in both goods then Home must have a higher
wage.
(b) The Home country is never made worse off by productivity
growth...
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