en 1answer
Rafael Vergnaud's questions - English 1answer
27 questions.
Questions
Answers
Is $|P(\mathbb{N})| = |\mathbb{R}|$? [duplicate]
1
answers,
0
favourites,
36
views
real-analysis
elementary-set-theory
real-numbers
Does there exist an anti chain of powers of the natural numbers that is uncountable? [duplicate]
1
0
answers,
0
favourites,
30
views
elementary-set-theory
natural-numbers
Produce an infinite collection of sets $A_1, A_2, A_3,…$ with the property that [duplicate]
5
answers,
1
favourites,
59
views
real-analysis
elementary-set-theory
natural-numbers
A sequence of closed bounded (not necessarily nested) intervals $I_1, I_2, I_3,…$ with the property that
2
answers,
0
favourites,
34
views
real-analysis
elementary-set-theory
Why cannot induction be employed to show that a countably infinite collection of countable sets is countable? [duplicate]
0
answers,
0
favourites,
54
views
elementary-set-theory
induction
Countability and intersection of sets.
2
answers,
0
favourites,
36
views
real-analysis
elementary-set-theory
The open $(0,1) \times (0,1)$ square invectively mapped *into* the interval $(0,1)$
2
answers,
0
favourites,
62
views
real-analysis
general-topology
elementary-set-theory
real-numbers
open-map
An example of an uncountable collection of disjoint open intervals? Possible?
1
answers,
0
favourites,
62
views
real-analysis
elementary-set-theory
real-numbers
Arranging $\mathbb N$ into a two-dimensional array to prove a countably infinite collection of countable sets is countable.
1
1
answers,
0
favourites,
41
views
elementary-set-theory
infinity
natural-numbers
Contradiction in Abbott's Understanding Analysis or my confusion?
1
1
answers,
1
favourites,
66
views
real-analysis
analysis
upper-lower-bounds
Expected gender distribution
1
answers,
1
favourites,
52
views
probability
sequences-and-series
combinatorics
expectation
Kernel of a polynomial p is invariant under a function: how is this possible?
2
answers,
0
favourites,
51
views
linear-algebra
Notation? q(A), where A is a matrix
1
answers,
0
favourites,
27
views
linear-algebra
abstract-algebra
Rank of Matrix and dimension of the image of the function corresponding with that matrix
1
answers,
1
favourites,
41
views
linear-algebra
matrices
vector-spaces
linear-transformations
eigenvector of compositions implies eigenvector of respective functions in composition?
3
2
answers,
2
favourites,
50
views
linear-algebra
matrices
eigenvalues-eigenvectors
linear-transformations
eigenfunctions
Pascal's triangle.
1
2
answers,
0
favourites,
34
views
combinatorics
binomial-coefficients
Prove that the column vectors of a $n \times n$ matrix are a basis for $\mathbb{F}^n$ if and only if $\det X \neq 0.$
2
1
answers,
1
favourites,
45
views
linear-algebra
matrices
proof-verification
determinant
Proof: |detA| = 1 if A is unitary (that is, if $AA^* = I_n).$ Does it make sense?
2
1
answers,
2
favourites,
59
views
linear-algebra
proof-verification
determinant
Prove the following determinant identities.
1
1
answers,
0
favourites,
59
views
linear-algebra
determinant
Determinants and Adjugates
3
3
answers,
1
favourites,
393
views
linear-algebra
matrices
determinant
Graphing the binomial coefficients: appearances?
3
3
answers,
1
favourites,
144
views
binomial-coefficients
Challenge (+) Problem 32, Chapter 1 (Pigeonhole Principle), A Walk Through Combinatorics, Miklos Bona
1
2
answers,
0
favourites,
62
views
combinatorics
pigeonhole-principle
Comparing binary matrices and weights
2
1
answers,
1
favourites,
54
views
combinatorics
matrices
binary
Prove by induction that the direct sum of subspaces of a vector space…
4
2
answers,
0
favourites,
82
views
linear-algebra
vector-spaces
induction
direct-sum
Foundations and Fundamental Concepts of Mathematics, Chapter Problems (1.1.3)
1
answers,
0
favourites,
39
views
geometry
euclidean-geometry
Trying to prove that geometric and algebraic interpretations of the dot product are equal.
2
1
answers,
0
favourites,
64
views
algebra-precalculus
geometry
physics
education
Understanding precisely the dot product…
4
2
answers,
2
favourites,
92
views
geometry
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