I came across the \sl command to slant certain fonts. With the default CMU Serif font, it looks nice. However, one of my professors uses Times New Roman to do his CV (in LaTeX), and I want to mimic that style. However, when I try to use \sl with Times New Roman (using setmainfont{Times New Roman}), it just uses the standard italics for TNR. Is there a specific command that I'm missing or some style that I need to add? If a picture would help, I can add one. Thanks!
Using fontspec with Luatex it is possible to create a fake slant and use that as italic should no italics be around:  \setmainfont[ AutoFakeSlant=0.15 ]             {FontName}   However, also if an italic version exist this faked slant will be used both for \itshape and \slshape. How can I keep using the shipped italic font defined by the ItalicFont= parameter to \setmainfont but use fake slant for \slshape?
Modular arithmetic: division, fractions, solving linear congruences How do you find time period as a function of time for a simple pendulum that is in the form of a hollow sphere that is filled with mercury and there is a hole in the bottom through which the mercury is constantly falling at a fixed rate? I tried creating a function for the time period to check how it varies with the mass of mercury, but I had too many variables.   EDIT: This question was a concept based multiple choice question in my homework book. The option were time period becomes erratic, time period increases, time period decreases, time period first increases then decreases. EXR Transparency Border with bloom and glare was solved by saving to EXR, however when loading that EXR into the VSE over a background a dark border appears around the transparent text that cuts through the glare and bloom. I'm using Blender 2.92.0. EEVEE with bloom Render layers -&gt; Glare -&gt; Composite (with &quot;UseAlpha&quot; checked) How to blur a texture node in cycles material? For a Cycles material I need to blur a texture. If the texture where a Texture Image node, I can blur the image before adding it but in my case I need to blur a Voronoi Texture and so I can't do it.  I have searched but I didn't find a blur node. Can this be achieved? What is the ideal data type to use when storing latitude / longitude in a MySQL database? Bearing in mind that I'll be performing calculations on lat / long pairs, what datatype is best suited for use with a MySQL database? I just browsed through this wonderful book: . The irony is, I am still not able to understand the motivation for using multivariate (regression) models instead of separate univariate (regression) models. I went through stats.statexchange posts  and  that explain (a) difference between multiple and multivariate regression and (b) interpretation of multivariate regression results, but I am not able to tweak out the use of multivariate statistical models from all the information I get online about them.   My questions are:   Why do we need multivariate regression? What is the advantage of considering outcomes simultaneously rather than individually, in order to draw inferences. When to use multivariate models and when to use multiple univariate models (for multiple outcomes).  Take an example given in the  with three outcomes: locus of control, self-concept, and motivation. With respect to 1. and 2., can we compare the analysis when we do three univariate multiple regression versus one multivariate multiple regression? How to justify one over another? I haven't come across many scholarly papers that utilize multivariate statistical models. Is this because of the multivariate normality assumption, the complexity of model fitting/interpretation or any other specific reason? Inverse function of $x^x$ How can I find the inverse function of $f(x) = x^x$? I cannot seem to find the inverse of this function, or any function in which there is both an $x$ in the exponent as well as the base. I have tried using logs, differentiating, etc, etc, but to no avail. "X Department" versus "Department of X" I would like to know whether these phrases "English Department" and "Department of English" have the same meaning. Thanks! Prove that if $A$ is transitive, then $\mathcal{P}(A)$ is transitive too. My book on set theory says     Prove that is a set $A$ is transitive, then $\mathcal{P}(A)$ is also transitive, where $\mathcal{P}(A)$ is the power set of $A$.   I don't know understand how. Let $A=\{a,b\}$. Clearly it is transitive. Now $\mathcal{P}(A)=\{\{a\},\{b\},\{a,b\},\emptyset\}$. This is clearly not transitive. Ways to Install and uninstall programs in deb format For $n$ a positive integer, let us write $\zeta_n = e^\frac{2 \pi i}{n}$, a primitive $n$th root of unity. It is clear that, if $m$ divides $n$, then we have an inclusion of cyclotomic fields $$ \mathbb{Q}(\zeta_m) \subseteq \mathbb{Q}(\zeta_n).$$ On the other hand, these inclusions are not always strict. For example, since $\zeta_3  = \frac{1+i \sqrt{3}}{2}$ and $\zeta_6 = \frac{-1 + i \sqrt{3}}{2}$, we have $$\mathbb{Q}(\zeta_3) = \mathbb{Q}(\zeta_6) = \mathbb{Q}(i\sqrt{3}).$$ Does this sort of thing happen infinitely often, or are there just some coincidences among small numbers? If this continues, is there some way to know when a particular inclusion of cyclotomic fields is strict? I started to read about Diffie-Hellman exchange and I encountered a problem which I don't know how to solve.  Given $g=3$, $p=131$, $g^x\bmod p=112$, $g^y\bmod p=74$, compute $g^{xy}\bmod p$   $113$ $110$ $112$ $111$   How could I compute $g^{xy} \bmod p$? Or at least verify which one is correct. Any idea? To flag or not to flag question that don't show own effort? I am a little confused about what do with questions that are just asking      "I want this and that (...) and I want it to look exactly like that   (...) please help"   without showning ANY own effort?  According to  those kind of answers are not welcome  also the  says those questions should not be asked:     Don't ask about...   Questions you haven't tried to find an answer for (show your work!)   But does this mean that I should flag those kind of "helpdesk" questions or not? And if yes as what? low quality ? flag for moderator attention ? Or is just adding a kind comment asking for the asker's own attempts enough? Why is quaternion algebra 4d and not 3d? Why is  quaternion algebra 4D and not 3D?  Complex algebra is 2D and what is known as quaternion algebra jumps to 4D.    $ i^2 = j^2 = k^2 = ijk = -1 $  Using $1, i, j,$ and $k$ as the base (where complex uses $1$ and $i$ (or $j$ if you are an EE)) which results in a 4-axis space.  Why is there no 3D algebra? What is the difference between a population and a sample? What is the difference between a population and a sample? What common variables and statistics are used for each one, and how do those relate to each other? How to get text in between two sections? I want to get text in between START &amp; STOP. Remaining text should be deleted, like some_text_1 and some_text_2.  some_text_1 some_text_1 . . . START --- Values that I want to get ... STOP some_text_2 some_text_2   From my findings, sed does similar job, but only oposite, like: sed '/START/,/STOP/d' file which would give me everything else then content in between START &amp; STOP.  Any idea? Baby Rudin Theorem 1.20 (b) Proof I have a question about Rudin's proof of Theorem 1.20 (b) in his book Principles of Mathematical Analysis.  Theorem 1.20 is stated as follows:     (a) If $x\in R, y\in R$, and $x&gt;0$, then there is a positive integer $n$ such that $$nx&gt;y.$$   (b) If $x\in R, y\in R$, and $x&lt;y$, then there exists a $p\in Q$ such that $x&lt;p&lt;y$.     I understand Rudin's proof of (a).  The beginning of Rudin's proof of (b) is given below:     Since $x&lt;y$, we have $y-x&gt;0$, and (a) furnishes a positive integer $n$ such that $$n(y-x)&gt;1.$$  Apply (a) again, to obtain positive integers $m_1$ and $m_2$ such that $m_1&gt;nx$, $m_2&gt;-nx$.  Then $$-m_2&lt;nx&lt;m_1.$$  Hence there is an integer $m$ (with $-m_2\leq m\leq m_1$) such that $$m-1\leq nx&lt;m.$$   I don't understand the justification for this last sentence beginning "Hence...."  How is $m$ found, and why are $m_1$ and $m_2$ needed to find $m$? Installing Broadcom Wireless Drivers LaTeX template for typesetting a novel How can I check the available version of a package in the repositories? How can I check the version of the available package in the Ubuntu repositories without installing it?