Comparing negatives (It is nice not to be rude.) vs. (It isn't nice to be rude.) What is the difference in style and meaning between the following two in terms of the adjective "nice"?   (It is nice not to be rude.) (It isn't nice to be rude.)   besides, what is the difference in style and meaning between the following two in terms of the verb "decide"?   (I decided not to come) (I didn't decide to come.)
Do the following negations mean the same thing? I don't think you understood me. / I think you misunderstood me.    Do these senteces mean the same thing? If not, what's the difference?  Edit: I just realized that I asked something different from what I originally wanted. So I am also interested in the following comparison:     I don't think you understand me. / I think you don't understand me.
The additive group $\mathbb{G}_a$ over an infinite field $k$ is not a topological group An algebraic group is not necessarily a topological group, since for an algebraic group, the product map $G \times G \to G$ is continuous when $G \times G$ is given the Zariski topology, which is finer than the product topology.   So does this tell you that the additive group $\mathbb{G}_a$ over an infinite field $k$ is not a topological group? The underlying variety of $\mathbb{G}_a \times \mathbb{G}_a$ is $\mathbb{A}_k^1 \times_k \mathbb{A}_k^1 = \mathbb{A}_k^2$, whose Zariski topology is the cofinite topology, where every open set is also open in the product topology (since $\mathbb{A}_k^1$ also has the Zariski topology). Are mixed geometry types allowed in shapefiles? Does the shapefile support mixed geometry types (ie. point and polygon all in the same file)? Relation between intensity of light and refractive index swap x and y axis on data generated plot Why would turning off a sink faucet stop the shower? Reputation widget failure on Android The title says it all. When I try to place the reputation widget on my home screen, I get this:  When I try again, I get this error, presumably because the Stack Exchange service has stopped.  Is this a bug? If so, where should I report it?  I am running Android 5.1 armeabi on a DigiLand DL718M tablet. If you could travel to the center of the Earth (or any planet), would you be weightless there? I needed to create a list of lists in Python, so I typed the following: my_list = [[1] * 4] * 3  The list looked like this: [[1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1]]    Then I changed one of the innermost values: my_list[0][0] = 5  Now my list looks like this: [[5, 1, 1, 1], [5, 1, 1, 1], [5, 1, 1, 1]]    which is not what I wanted or expected. Can someone please explain what's going on, and how to get around it? Quake-style terminal with splitting in Gnome other than Yakuake The most common Quake-style terminal in Gnome seem to be Guake and Tilda, but they can't split to show several shells in single tab like Yakuake can. Is there any alternative which can do so? I noticed that when I had a helium filled, latex balloon inside of my car, it moved forward in the cabin as I accelerated forward. The faster I accelerated forward, the faster the balloon went from the back of the car to the front of the car. The balloon didn't have a string.  This became a game with my 4 year old as we drove home. We figured out where the balloon would go based on how fast I accelerated, turned corners etc.  I expected that it would act a lot like the water in a cup does, but it was the total opposite it seemed.  What forces caused this behavior?  I assumed it has something to do with the fluid dynamics in the closed cabin, but I can't figure it out. Help with math symbols in BibTeX I am writing a PhD thesis using LaTeX. Every thing is going fine, but I have problem with the output of the mathematical symbols in the references lists. I copy one example from the Pdf file to make it clear for you. You can see that the fraction remains the same.      [1] Mezzacapo, F. and Cirac, J. I. (2010) Ground-state properties of   the spin-\frac{1}{2} antiferromagnetic Heisenberg model on the   triangular lattice: a variational study based on entangled-plaquette   states. New. J. Phys., 12,   103039.   You can see below the all the packages I use:  \documentclass[12pt,PhD,twoside,a4paper]{GB_muthesis}%[10pt,PhD, singlespace] \usepackage[pdftex]{graphicx} \usepackage[bookmarks=true,colorlinks=true,linkcolor=blue, urlcolor=blue,citecolor=blue]{hyperref} \usepackage[numbers,comma, sort&amp;compress]{natbib} \usepackage{amsmath} \usepackage{amssymb} \usepackage{mathtools} \usepackage{rotating} %\usepackage{GE_manthesis} \usepackage{GB_thesis} \usepackage{bm} \usepackage{fmtcount} \usepackage{setspace} \usepackage{chapterbib} \usepackage{subfigure}% allow subfigures \usepackage{amsfonts} \usepackage{url, enumitem} \usepackage{lscape} \usepackage{notoccite}%This package is for ingnoring the citation in the caption of the figures and tables. \begin{document} Remove Escape on TouchBar in Safari The question "How to disable Escape key in Safari" was asked here a few times. Now since on the new MacBook Pros the Escape key is a touchscreen button, it is much easier to press it accidentally, but there is a good chance we can actually remove it in Safari once and for all.  How to remove  Escape button from TouchBar in Safari? (or any specific app)  There is no such option in Customize Touch Bar... menu: I am trying to determine the size in bytes of the contents in a VARBINARY(MAX) field in SQL Server 2005, using SQL. As I doubt there is native support for this, could it be done using CLR integration? Any ideas would be greatly appreciated. Filter the score of the questions on the homepage before loading them At the moment questions on the homepage are loaded by the top N most recent and then ones with a score of -4 or less are filtered out. This doesn't make much difference for a user who is logged in but consider anonymous users; their home page is only 15 questions in length. If someone was to edit several posts that bump to the top with a score of -4 or less then the home page looks tiny. At the moment on SFF, for example, the homepage for anonymous users only shows 9 questions:  At one point it only showed 3 questions (a few weeks back):  Can the filtering logic be changed to before the questions are loaded to appear on the homepage? What is the command to find out how much disk space is being used/remaining? I've been doing ASP.NET development for a little while now, and I've used both the GridView and the DataGrid controls before for various things, but I never could find a really good reason to use one or the other. I'd like to know:  What is the difference between these 2 ASP.NET controls? What are the advantages or disadvantages of both? Is one any faster? Newer? Easier to maintain?  The intellisense summary for the controls doesn't seem to describe any difference between the two. They both can view, edit, and sort data and automatically generate columns at runtime.  Edit: Visual Studio 2008 no longer lists DataGrid as an available control in the toolbox. It is still available (for legacy support I assume) if you type it in by hand though. We have been using Notes and Attachment to store files related to the record. I also read about Files in salesforce.   How are Files different from Attachment? Are there any limitations or benefits of using Files instead of Attachments?  Are Files available for all editions of Salesforce?  Is it possible to link Files to particular records so they are visible as related list? I tried looking into the content version  but cant seem to find anything to relate to a record How can I connect two different DC power sources together? How can I connecting two different DC power sources together? for example 15Vdc(5Amp) with 5Vdc(2Amp). I want to make one DC source (20Vdc,7Amp) by more powerful supplies. Application of Kirchhoff's laws in circuits with inductors As we know, the  are applicable for conservative electric fields. Now it is applicable for circuits where inductors are present but the field there is not .  So how are the  Kirchhoff's laws  applicable there? "Since", "until", "from", "to" on invoices or date ranges of a form Which is the correct form on an invoice, or a general date range in a form, and why?  Monkey dolls                        12 GBP From 2012-01-03 to 2013-01-02  Monkey dolls                        12 GBP Since 2012-01-03 until 2013-01-02   Form format (dates can be modified with a datepicker):  Since: 2012-01-03 until: 2013-01-02   Since+until makes sense and sounds ok to me, yet I know I can be very wrong, at least when it comes to the common usage in the UK and/or US, since English is not my first language.  I am interested in both British and American English.  Until now I've been using since+until, yet some articles explicitly say they may not ever be used together, while some people and some other articles get deep into grammar rules which I can't really apply on the context of invoices and forms.  Here's a recent article saying since and until can never be used together (last paragraph):   Edit: The date range can start in the past or in the future, and can end in the past or in the future. However, at the time of issuing an invoice or rendering a form, you cannot know when the document will be read or how the form will be filled.