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J P's user avatar
J P
  • Member for 9 months
  • Last seen more than a month ago
4 votes
0 answers
48 views

Inverse Function Theorem applied to two open sets

3 votes
1 answer
132 views

Let $G_1, G_2$ be non-trivial groups. If $G_1 \times G_2$ is cyclic, then $G_1 \times G_2$ is finite.

3 votes
1 answer
51 views

Characterize the elements $\beta$ $\in$ $S_n$such that $\beta=\alpha^2$ for some $\alpha$ $\in$ $S_n$

2 votes
0 answers
59 views

Newton's Method convergence for all approximations in $[a,b]$

2 votes
2 answers
160 views

Selecting $k$ elements from the set $[n]$ such that the numbers selected differ by at least three

2 votes
1 answer
93 views

Seating arrangements at a circular table

2 votes
1 answer
45 views

Identifying position of non-increasing function

2 votes
1 answer
59 views

Number of idempotent functions

1 vote
0 answers
59 views

Is $\mathbb{(Z_7\setminus \{0\},*)}\cong \mathbb{(Z_6,+)}?$ [duplicate]

1 vote
2 answers
50 views

If every quotient group of a group G by non-trivial normal subgroups is abelian, G is abelian

1 vote
0 answers
38 views

Lexicographic rank of permutation

1 vote
0 answers
35 views

Optimizing a recurrence relation for a sequence

1 vote
1 answer
73 views

If $\mathrm x\cdot ∇f(\mathrm x)=f(\mathrm x)$ $∀\mathrm x∈\Bbb R^n$, then $f(t\mathrm x) = tf(\mathrm x)$ $∀\mathrm x∈\mathbb{R}^n,∀t∈\mathbb{R}^+$

1 vote
0 answers
33 views

Bijection between partitions of [n − 1] into k − 1 parts and partitions of [n] into k parts in which no part contains consecutive integers

1 vote
0 answers
52 views

Is Petersen's graph an Hamiltonian one? [duplicate]

1 vote
1 answer
34 views

Local invertibility of function $F$

0 votes
0 answers
18 views

Implicit function Theorem in a neighborhood of $0 \in \mathbb{R}$

0 votes
0 answers
28 views

Sufficient conditions for Implicit Function Theorem for a composite function

0 votes
0 answers
68 views

Non-trivial $\frac{1}{2}$-derivations Lie algebras

0 votes
0 answers
23 views

Regular value of a function $f_\lambda$

0 votes
0 answers
23 views

Stirling number of first kind identity [duplicate]

0 votes
0 answers
51 views

Aitken's $\Delta^2$ Method applied to the Newton's Method

0 votes
0 answers
25 views

Let $X$ be a transitive $G$-set, and let $x_o \in X$. Show that $X$ is isomorphic to the $G$-set $L$ of all left cosets of $G_{x_0}$ [duplicate]

0 votes
3 answers
212 views

Let $G$ be a group of order $12$. Show that if $Z(G)$ is non-trivial, then $G$ has a subgroup of order $6$.

0 votes
0 answers
84 views

Finding a non-abelian group with $54$ elements non-isomorphic to $D_{27}$

0 votes
0 answers
19 views

Order of convergence/convergence rate of variant of Newton's Method [duplicate]

0 votes
0 answers
53 views

Help with proof of Inverse-Function Theorem in $ \mathbb R ^ n $

0 votes
0 answers
34 views

Let $f:\mathbb{R}^2\to\mathbb{R}$ such that only non-zero partial derivatives of degree less or equal than 4

0 votes
0 answers
46 views

$h:\mathbb{R^2} \to \mathbb{R}$ defined by $\operatorname{h}(x,y)=\operatorname{g}(x^2-y^2,2xy)$

0 votes
1 answer
99 views

Consider the curve $C=\bigl\{(t,|t|): t \in \mathbb R\bigr\}$.