Question

Multiplicative Principle (in terms of sets): If X and Y are ﬁnite sets, then |X ×Y| = |X||Y|.

D) You are going to give a careful proof of the multiplicative principle, as broken up into two steps:

(i) Find a bijection

φ : <mn> → <m> × <n>

for any pair of natural numbers m and n. Note that you must describe explicitly a function and show it is a bijection.

(ii) Give a careful proof of the multiplicative principle by explaining how it reduces to the result of part (i). please write clearly

Answer #1

12

Multiplicative Principle (in terms of sets): If X and Y are
ﬁnite sets, then |X ×Y| = |X||Y|. D) You are going to give a
careful proof of the multiplicative principle, as broken up into
two steps:
(i) Find a bijection
φ : <m + n>→<m>×<n> for any pair of natural
numbers m and n. Note that you must describe explicitly a function
and show it is a bijection.
(ii) Give a careful proof of the multiplicative principle by
explaining...

Prove that if X and Y are disjoint countably infinite sets then
X ∪ Y is countably infinity (can you please show the bijection from
N->XUY clearly)

Using field axioms and order axioms prove the following
theorems
(i) The sets R (real numbers), P (positive numbers) and [1,
infinity) are all inductive
(ii) N (set of natural numbers) is inductive. In particular, 1
is a natural number
(iii) If n is a natural number, then n >= 1
(iv) (The induction principle). If M is a subset of N (set of
natural numbers) then M = N
The following definitions are given:
A subset S of R...

1. For a pair of sample x- and y-values, what is the difference
between the observed value of y and the predicted value of y? a) An
outlier b) The explanatory variable c) A residual d) The response
variable
2. Which of the following statements is false:
a) The correlation coefficient is unitless. b) A correlation
coefficient of 0.62 suggests a stronger correlation than a
correlation coefficient of -0.82. c) The correlation coefficient,
r, is always between -1 and 1....

Relations and Functions
Usual symbols for the above are;
Relations: R1, R2, S, T, etc
Functions: f, g, h, etc. But remember a function is a special
kind of relation so it might turn out that a Relation, R, is a
function, too.
Relations
To understand the symbolism better, let’s say the domain of a
relation, R, is A = { a, b , c} and the Codomain is B = {
1,2,3,4}.
Here is the relation: a R 1, ...

1. What is an ISP (Integrated Service Provider) for supply
chains? (1 point)
A. A consultant agency which integrates the supply chain for
companies
B. A 2 PL or a 3PL, but not a 4PL
C. A company supplying transportation and warehousing
services
D. A logistics service company specialized in suppling VAS (value
added
services)
2. What characterizes a 4 PL? (1 point)
A. They are non-asset based and provides integrated services
primarily
supplied by asset based providers, for example...

read Seasons of Love chapter:measuring a child's life
after suicide. please answer the questions : reflect on what
happens to the families when there is a suicide in the family,
based on the Seasons of Love chapter...how should people be told?
What details are best left unshared?
below is the story
These theories may have a certain face-validity, but they often
neglect environmental or contextual factors that are innate to
answering the question of “why” a person might engage in...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 33 minutes ago

asked 33 minutes ago

asked 36 minutes ago

asked 43 minutes ago

asked 46 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago