# Illustrator: How to skew text independently of path?

So I have some text wrapped around a circle (with the type on a path tool), and from here I'd like to skew the text so it's slanting a bit to the right.However, when I use the skew tool, it skews the entire path that it's on, but I want to skew the text independent of the path.

# Skew text in Photoshop without transform

I have a PSD file with a multiline skew text and I need to know how to do the same thing from the scratch.I am not so good at Photoshop, and the only way I know is applying skew transform to the text object.

# Pfaffian minors of skew symmetric matrix under perturbation

Suppose $A$ be a skew-symmetric matrix whose entries are positive numbers.A perturbation of $A$, $A'$, is obtained by adding another skew-symmetric matrix whose entries are positive integers.

# is the set of skew-symmetric matrices with positive Pfaffians path connected?

Is the set of real $2n \times 2n$ skew-symmetric matrices having positive Pfaffians path connected?By definition, the Pfaffian is a polynomial in the entries $a_{ij}$ ($i<j$) such that $Pf(A)^2=\det A$, and $Pf(J_n)=1$, where
$$J_n=\begin{pmatrix} 0_n & I_n \\ -I_n & 0n \end{pmatrix}. # The rectification of the transpose of a skew tableau? Suppose the rectification of a skew tableau is a standard tableau, I want to know if the rectification of the transpose of the skew tableau equals to the transpose of the rectification of the skew tableau?If it's right, how to prove it? # Euclidean Algorithm for differential operators The elements of such a ring are called skew polynomials or Ore polynomials.For Ore polynomials the usual polynomial addition holds. # A palindromic polynomial and its derivative have the same number of zeros outside the unit circle. Reference? I am trying to find the original reference for a lemma attributed to Cohn (as in Schur-Cohn method): Let A(z) be a palindromic or skew-palindromic polynomial, and denote its derivative by A'(z).Then A(z) and A'(z) have the same number of zeros outside the unit circle. # Local rings with simple radical Is there a (finite) non-commutative local ring R (containing identity) such that J(R) is simple as a left module?For a finite field k with non-trivial automorphism \sigma, take the skew polynomial ring k[X, \sigma] (reminder: these are polynomials with coefficients on the left \sum a_i X^i with relation Xa = \sigma(a)X) and set R := k[X, \sigma] / \langle X^2 \rangle (i. # The norm of a polynomial f in a skew polynomial ring must be in the center This is proved in Prop 1.7. # Algebraic integers in skew fields Hi everyone, let D be a skew field, which is finite dimensional over its center k.Assume that k is a number field, and let \mathcal{O}_D be the set of elements z\in D which are roots of a monic polynomial with coefficients in \mathcal{O}_k. # Global dimensions of non-commutative rings Moreover, are there any standard way to compute gl\dim(S) when S is non-commutative?Then let \sigma_1 be the k-algebra automorphism of R_1 defined by \sigma_1(x_1) = a_{21} x_1, and let R_2 be the skew-polynomial ring$$
R_2 = R_1[x_2; \sigma_1].

# (Non-)existence of skew fields satisfying a SGPI (=skew generalized polynomial identity)

From Kaplansky's PI-theorem it then follows that $K$ cannot satisfy a polynomial identity (the theorem says that primitive PI-algebras have finite dimension over their center).There, a GPI (generalized polynomial identity) has coefficients from the center $F$.

The pfaffian can be defined as $\sqrt{{\rm det}(A) }$ when $A$ is skew symmetric, or explicitly $${\rm pf}(A) = \frac{1}{2^n n!Let F \in k[x_0, \ldots, x_n ] be a homogeneous polynomial of degree d. # Skew polynomial algebra When I was a very little hare, a big grey wolf told me about the following skew polynomial algebra, which I never understood.My question is whether the following construction is a part of some bigger abstract construction and whether it is been written anywhere. # Map between skew polynomial ring and regular polynomial Let k be a field and q\in k -0.Define S_q := k\langle x, y\rangle/(xy - qyx), where k\langle x,y\rangle is the non-commutative polynomial ring. # Analogs of Cayley-Hamilton theorem for Pfaffian The Pfaffian \text{pf} is defined for a skew-symmetric matrix which is also a polynomial of matrix coefficients.One property for Pfaffian is that \operatorname {pf} (A)^{2}=\det(A) holds for every skew-symmetric matrix A. # Square root of the determinant of AB+I where A, B are skew-symmetric Imagine I have two skew-symmetric square matrices A, B.) Now I am interested in the square root of the determinant of AB+I, where I is the identity matrix,$$ x = \sqrt{ \det \left( AB + I \right) } $$As quick inspection for small matrices suggests that this x is a polynomial of the elements of A and B, for example for 3 \times 3 matrices we find$$ x = 1 - a_{12} b_{12} - a_{13} b_{13} - a_{23} b_{23} 

and I checked this analytically for matrices up to $6 \times 6$.

# On Skew-hermitian and inverse

If $A$ is skew-symmetric real under what conditions do we have $(I+A)^{-1} {'}=I-A$ where $'$ stands for transpose?If $A$ is skew-hermitian complex under what conditions do we have $(I+A)^{-1} {'}=I-A$ where $'$ stands for conjugate transpose?

# Almost skew polynomial ring an integral domain?

Since Ore extensions of domains are Ore extensions, this question can be reformulated as follows: Since the relation look almost like those of a skew polynomial ring, can this ring in fact be written as a skew polynomial ring?Consider the $k$-algebra $R=k\langle x_i, c_i\rangle_{i=1,\ldots,n}$, $k$ not of characteristic 2,
subject to the following relations:

$x_ix_j = x_jx_i$ for all $i, j$
$x_ic_i = -c_i x_i$
$x_ic_j = c_j x_i$ for all $i\neq j$
$c_ic_j = -c_j c_i$ for all $i\neq j$

I haven't found a counterexample yet.

# Similarity transformation of skew-Hermitian matrices to skew-symmetric matrices

Consider an even-dimensional matrix $S\in\mathbb{C}^{2n\times 2n}$ that is skew-Hermitian, i.) $S$ is similar to a skew-symmetric matrix $A^\top = - A$ (with $A\in\mathbb{C}^{2n\times 2n}$)

2.