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Install App Image such as beaker browser and pin it to dock (favorites) in Ubuntu 20.04? Theorem numbering I am trying to number my theorems, corollaries, Lemmas, Propositions, Definitions, Remarks etc. I put the following code:  \theoremstyle{theorem}  \newtheorem{theorem}{Theorem}[section] \newtheorem{corollary}{Corollary}[theorem] \newtheorem{lemma}[theorem]{Lemma} \newtheorem{proposition}[theorem]{Proposition}  \theoremstyle{definition} \newtheorem{definition}{Definition}[section] \newtheorem{example}{Example}[definition]  \theoremstyle{remark}     \newtheorem{remark}{Remark}[section]   I want to produce the following:  theorem 1.1  proposition 1.2  definition 1.3  example 1.4  remark 1.5  lemma 1.6  but the code above gives me  theorem 1.1  definition 1.1  remark 1.1  lemma 1.2  Can anyone tell me if there is a code that numbers all these respectively? How do I properly compare strings in C? Get rows with most recent date for each different item Let $R$ be an integral domain and let $S$ be a ring with $R \le S \le \text{Frac}(R)$ (fraction field).   Question: Is there a multiplicatively closed subset $U \subseteq R\setminus \{0\}$ such that $S=R[U^{-1}]$ ? I have made a command  \newcommand{\mysec}[2]{%  \textbf{#1} \\ #2 }   I use it with \mysec{A}{B}.  But sometimes I also want a third parameter. I could make a whole new command for those situations where I need 3 parameters. But I thought if I could handle it with an optional parameter in my original command?  So I have to check if the third parameter is set and how to print if it is set. Should I test private methods or only public ones? I know that $S_n$ is generated by a number of things, like all transpositions, all transpositions of the form $(1\,a)$, the transpositions $(1\,2),(2\,3),\dots,(n-1\, n)$, and  just the two elements $(123\dots n),(1\,2)$.      Suppose $n$ is prime. If you just have $(123\dots n)$ and some arbitrary transposition $(a\, b)$, how does this also generate $S_n$?    Can you somehow get to $(1\,2)$ or reduce it to some other previous case? Possible to specify the GUID when adding a List to a SPListCollection? I found  which goes over how to add a list, but it doesn't seem possible to specify a GUID if you use this method.  Is there any way to create a list and specify the GUID?  I am trying to recreate several lists on a different server and if they do not have the same GUIDs other functionality may break. Injection from $\mathbb{N}\to\{0,1\}$ to the set of all monotonic decreasing functions from $\mathbb{N}\to\mathbb{Z}$ We are planning a two-night trip to the Canary Islands. The cheapest options include Lanzarote and Las Palmas for flights. Travel dates are last week of November, so I guess weather should be okay. I have never been to these islands. I'd like to sleep on the beach in a tent or mattresses. Is that possible, safety, legality, and weather? It would also be nice to know how populated with tourists the islands are. I seen many times how people describe how to's about LBP-2900, and 10-12 steps from start to end of how to download, unpack, build driver, fix driver, make it work... Could be there some .deb package with ready-to-go driver for Ubuntu? This printer is very popular... How to find a global minimum for $\frac{1}{2}x^tQx-b^tx$ Prove that there is no non-zero linear operator on $\mathbb C^{2}$ such that $(\alpha | T\alpha) = 0$ If $a \cdot a = 1$ then $a = 1$ or $a = -1$ What is *.pkinfo file? What is a *.pkinfo file?   Google Search results talk about Package Info files and how they contain map documents and layers, so I don't see how this is different from a .mpk file.    I also have not found anything about how to create a *.pkinfo file. If I want to know the meaning of wget -b, I see the manual by man wget, then search the -b option.     -b    --background        Go to background immediately after startup.  If no output file is specified via the -o, output is redirected to wget-log.   I want to get the result by a command like man wget -b. (Of course this doesn't work.)  Is there a similar way to make it possible? An explanation for the Landauer's principle Has anyone understood the ? What is the current status?  In specific, is there a theoretical derivation of the Landauer's Principle?(not the heuristic one based on Salizard's engine) How does one account for thermodynamic concepts applicable to situations involving measurement? What does it mean to reset the state of the apparatus why is free energy expended in the process? Tags in spoilers are always visible, even if you don't put your mouse on the spoiler (on  for example). See the screenshot:      Looks a bit strange on this site too:        that needs ! Can HTML checkboxes be set to readonly?