This post is related to How should one read the Summa Theologia? In Peter Turner's answer to the question posed in the above link, he states: The arguments against are listed first, so everything St. Thomas does not think are the objections. Everything else is what he does think is true. The "...

Yusupov's books (Build up Your Chess and Boost Your Chess) are really interesting, and I'm working with them However, I find the chess pocket Book (by Lev Alburt) and the How to Reassess your chess Workbook (Silman) complementary Elo 1350 FIDE Learning from these three books is time consuming. So...

I'm looking for ways to visually signify the links between turns in a transcript and found this which I think is a brilliant way to do it in a book by Erving Goffman. Is there any way to replicate this on LaTeX in a consistent way over a large corpus?

Is the following statement (†) consistent with ZFC? If $E \subseteq [0,1]^2$ is such that $E_x := \{y\in[0,1] : (x,y)\in E\}$ has measure zero for almost all $x$, then $E^y := \{x\in[0,1] : (x,y)\in E\}$ has measure zero for almost all $y$. Of course I'm not assuming $E$ to be measurable, becau...

I encountered the following problem in Paul Zeitz's The Art and Craft of Problem Solving (problem 2.4.16 on page 56 of third edition): Is it possible to color the faces of 27 identical $1 \times 1 \times 1$ cubes, using the colors red, white, and blue, so that one can arrange them to form a $3 \...

Let's say we have the expression $$∀𝑎,𝑏∈ℤ:𝑎𝑥=𝑏𝑥⟹𝑎=𝑏$$ Which means "for all values of 𝑎 and 𝑏 in the set of integers, if 𝑎𝑥 equals 𝑏𝑥 then 𝑎 must equal 𝑏." For example, if 4×6=4×6, then 4=4. However, this does not apply to 0. For example, 7×0=6×0, but 6≠0. Is there a way to add t...

I I want to perform a paired t-test to check if there's some effect, I have the distribution of "before" and the distribution of "after" the manipulation. Do I need to assume the population variances of the two distribution are equal ?

There is a repository of code that I have made pull requests and added code to, and that code that I have contributed is in the master branch. The code is under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) license, as the title states. The code is ...

I was running my 60198 train with the 60197 carriages attached (carriages from 60198 also on the train). My train has started to get lots of wheel spin even while on flat ground. What can I do?

Let $(M, g)$ be a compact 2-dimensional Riemannian manifold with genus $\ge 1$. Can $M$ has a conformal Killing vector field $X$ other than Killing vector fields? That is, $L_X g = (\mathrm{div} X) g$ and $\mathrm{div} X\neq 0$. Note that for genus $\ge 2$, $M$ has no Killing vector fields by thi...

The circuit above is used to detect an event at a certain input voltage. Nevertheless according to the temperature, the event is not detected at the same temperature as the VBE(ON) changes with the temperature. Does anyone know how to compensate this circuit against temperature change ?

I bought a solar PV system a couple of months ago. It has 11 410-watt panels for a total of 4.5 kW. The first month it was cloudy and never generated over 3.2 kW of power. Now that it's been bright and sunny, I am still only getting 3.2 kW. After doing some checking, it looks like the micro inver...

Let $N$ be a finite subset of $\mathbb{N}$, where $|N|>1$. For $i\in\mathbb{N}$, let $a_i$ and $b_i$ be chosen uniformly at random from $N$. Is it true that $\mathbb{P}[\sup_{n\in\mathbb{N}}\{\frac{a_1\cdots a_n}{b_1\cdots b_n}\}=\infty]=1$? Note that given the symmetry involved, I believe this s...

There are 3 controllable rings on the CCTV lens. Each ring has 2 characters on them with the ring farthest from the sensor being F and N. Next is O and C. The last ring is T and W. What does each of these characters represent? The O and C controls the aperture, so I'm assuming it stands for open ...

It is my understanding that low-voltage wires can share a double-gang box with 120V wires, as long as they are isolated from each other by a permanent divider. I was looking at getting this relay to operate an inline duct booster fan using the 24V thermostat signal wire. However both the low-volt...

As an example, consider the following Circuit defined by using the Python amazon-braket-sdk: from braket.circuits import Circuit bell = Circuit() bell.h(0) bell.cnot(0, 1) How can I get the corresponding QASM code? If possible, I would like to do it directly, namely without going through any ot...

This question may have more of a vague, less objective answer than usual for this site, so I apologise if it difficult to answer definitively. Below, $p$, $q$ and $r$ are distinct primes. A group of order $p$ is simple (these groups are precisely the prime-order cyclic groups.) A group of order...

In the near future an ancient, derelict spacecraft or space station has been discovered orbiting Barnard's Star, 6 light years from Earth. Why would Earth send a manned mission to Barnard's Star to explore the artifact -- increasing the complexity, expense, and risk of the project -- rather than ...

The story would be set in a sort of medieval period, and the character in present day would be about 16 years old.

Sometimes, I have a hard time deciding between two good code traits: debuggability and readability. The snippets below are an oversimplification but they illustrate my pain. Example 1: if(isSomethingThere(somethingParam) || isTheOtherThingThere(otherParam) || isWhatever(whatever)) { // some...

I'm surprised that I can't find any research on this topic. Maybe it's too obvious? Kinoshita proved that contractible continuum do not have FPP, but his example is not locally connected. Maybe if we add this to the conditions it will have FPP? UPD: Continuum as a nonempty compact connected metri...

I've wired almost all the light switches in the house with Lutron switches. So I have a lot of experience with installing them. For some reason this one is giving my problems. This switch controls a light that is plugged into a switched outlet. It looks like the romex to the switched outlet is 14...

Early on in the series, the story establishes Adachi's drink of choice as mineral water. This prompts Hino to call her a Namekian (since Namekians can survive off of only water). Adachi drinking mineral water struck me as being important, due to the weight the story seems to give to it; however, ...

I've set up a mailserver with Postfix, Roundcube and Dovecot. All works well - almost. In my country there's a popular free email service by the name of inbox.lv. And they have an anti-spam rule set up that when a new server tries to send emails to them, they first greylist it for 10 minutes and ...

Right now, I am using all the pins of a three pin potentiometer, in order to feed a signal into a transistor for amplification. The leftmost pin is GND, the middle pin is the signal and the rightmost pin is what goes to the base of the BJT. I want to create a PCB board. How do I trace the signals...

The weight of the 3 monitors on my 3-monitor arm has destroyed my IKEA table (not real wood). See picture. I want to still use the same monitor arm with 3 monitors in the same area, where the damage is... How can I reinforce that area that has the hole? Can I use a metal sheet or something? Any o...

I was reading the short novel 銀河鉄道の夜 by 宮沢賢治 and, although it's not super hard, I stumble upon on this sentence (as usual I post the whole paragraph for context): 家へは帰らずジョバンニが町を三つ曲ってある大きな活版処にはいってすぐ入口の計算台に居ただぶだぶの白いシャツを着た人におじぎをしてジョバンニは靴をぬいで上りますと、突き当りの大きな扉をあけました。 Now, I don't understand if ある is p...

As displayed in the table below, the Springer Nature journal article template (available through Overleaf here or from the Springer Nature website here) is supposed to have three predefined theorem styles: In the supplied sn-jnl.cls file, these environments are presumably defined by the followi...

I am in the design process phase of a home project where I will be adding a hybrid solar inverter and battery storage into my home setup. We will not be connecting a solar PV array. The goal is to charge the batteries during the off-peak "cheaper" hours and to discharge the batteries during the o...

Mathematica provides the Molecule function that can be visualized with MoleculePlot3D since version 12.0. Before, importing "XYZ" files would produce a Graphics3D object immediately. In this object, the coordinates of the atom were given in picometers, but not as Quantity. Changing the units here...

Do I have to know how to code in JavaScript to make good games in RPG Maker MZ? I'm asking cause I know you don't really have to code in RPG Maker. I already tried some programming languages, so I have some experience.

The first and second electrons go in 1s orbital, the 3rd and 4th go in 2s orbital, and 5th to 10th go in 2p orbitals. My question is how does these additional electrons affect the orbital shapes? Are the orbital shapes somewhat same as the commonly shown orbitals? I mean do the electrons in 2s or...

I'm trying to figure out Lightning launcher's extra damage text and if I'm reading it correctly. The part in question reads as follows: Once on each of your turns when you hit a creature with it, you can deal an extra 1d6 lightning damage to that target. My question, is this just dealing 2d6 wi...

I'm sure there is an official name for this, but I am wondering how to write music that "sounds like the lyrics". Here is an example of a guitarist doing this with Blink-182's What's My Age Again?. After the intro, instead of going into the power chord progression as the song is officially writte...

A set of numbers is called Almost-squarish if it satisfies the following two properties: The set contains only positive integers. The product of any two distinct numbers in the set is one less than a perfect square. A trivial example of a Almost-squarish set is {4, 12} because $4 \cdot 12 = 7^2-1...

I want to change number and currency format using something like: SET lc_numeric='en_AU.UTF-8' SET lc_money='en_AU.UTF-8' I tried a number of formats for, say, Dutch, but nothing works. It appears that I don’t have that locale on my operating system. Ho can I get a list of available locales in P...

After a comment from OP, I discovered that /dev/stdout gives blocks of 10 KiB even after disabling buffering, but - does not. Why is this? I could not find anything regarding this in man tar nor man stdout. Note that /dev/stdout goes to 00002800, not 000000a1. The output is correct, except is pad...

As described in the title, imagine a scenario where one has multiple prepared manuscripts for submission. Due to external factors (slow review speed, unavailability of reviewers, technical issues, ...) a decision is delayed on the first submission. The same happens to the second submission which ...

I have this idea for a planet whose magnetic field is not aligned with the axis of rotation as is the case for Earth (I know they're not exactly aligned, but hear me out). How plausible is this, and how would this impact life? Is there any explanation for Earth's axis of rotation being approximat...

I am a masters student in the process of writing a thesis in computer science. In particular, there is someone who works in industry who is probably one of, if not the world leading experts in a particular kind of mathematical set of functions. However this person is very much not an academic, he...

Yesterday the House Rules Committee advanced a bill to raise the debt ceiling, but with no Democratic support. From the New York Post: The GOP-controlled committee voted 7-6 to move the 99-page piece of legislation to the House floor, with no Democrats joining Republicans in support. All report...

Pareto-efficiency is a very important property, but in some cases it cannot be attained (for example, when agents play a game such as the Prisonner's Dilemma). In such cases, it can be useful to measure how far the outcome is from being Pareto-efficient. A simple measure of approximate Pareto-eff...

line1 = Table[{x, z + 1}, {x, 0, 2}]; Manipulate[ RegionPlot[x^2 + y^2 + z < 1, {x, 0, 2}, {y, 0, 2}, Epilog -> {Red, Line[line1]}], {{z, 0.5}, 0, 1}]when I add an new variable using manipulate, it will be wrong. what should I do?

I would like to create an imaginary rocky planet, devoid of life, that nevertheless has an oxygen-rich atmosphere similar to that of Earth. Is there any way this is possible or can be explained? Oxygen is an reactive molecule so such an atmosphere would presumably have to be being renewed constan...

According to Halacha, abortion is forbidden, but not punishable by death like a full fledged murder, so would one still be obligated to give up his life in order to avoid doing it, or do we say that your blood is “reder” in this case?

(1) He likes to collect differently coloured socks. (2) He likes to collect different coloured socks. Most of my non-native English speaking friends think (1) is correct and (2) is wrong. I don't agree with them. I have seen "different coloured" something used a lot on the internet. Is (2) really...

I'm slightly confused about where exactly the forces involved in a space elevator are being applied, and my lack of a degree in physics makes it difficult for me to understand the sources that google gives me when I try to search for answers. I'll do my best to explain what I think I know or at l...

I am trying to evaluate 1- and 2-electron integrals using PySCF trough this code: Hij = mol.intor('int1e_kin') + mol.intor('int1e_nuc') Vijkl = mol.intor('int2e') where I previously defined mol in a particular basis. I am new in this software and I am reading the basic tutorials that offers the...

My academic career had a few rough starts before I got into the right program and figured my life out. I started out in the wrong major and was struggling with some mental health issues which are now well-managed. My grades were really bad before I got on track, but once I got things figured out ...

How would we use the phrase "under one's belt" if the subject is 'us'? Would it be "under our belts" or "under our belt" because it is an idiom? For example With a year of successfully running this company under our belt/belts...

This is my system.xml file ScheduleContentNotifier\etc\adminhtml\system.xml <?xml version="1.0"?> <config xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:module:Magento_Config:etc/system_file.xsd"> <system> <tab id="custommodule" tran...

I heard someone explain that if you were falling in space (i.e, a rooftop) you wouldn't sense gravity as a force acting upon you. But it would accelerate (≈ 9.8 m/s^2) , which to me suggest that a gravitation field exist. How is a +charge moving in a uniform +electric field different? It would ex...

My wife and I are due to visit Germany soon with friends who organized accommodation at a guesthouse in Bavaria (if that matters). Now, a few days before departure, the guesthouse contacted my friends with a request of all the names and birthdays of the people staying at the guesthouse. I am not ...

On several sites I've worked on, for whatever reason before I put my hands on it, the database seems to register a plugin that is no longer in config or code. This usually goes as follows: [error] Drupal\Component\Plugin\Exception\PluginNotFoundException: The "name-of-plugin" entity type does no...

I wrote Morris and the Kingdom of Knoll by T.L. Hill. It was published in 1996 jointly by J. Paul Getty and Children's Library Press. An advance towards royalties in the amount of $10,000 was split 3 ways between myself, artist Jeff Colson, and Children's Library Press. I've received nothing aft...

Here is an article I just read: https://www.ilpost.it/2023/05/31/djokovic-kosovo-serbia/ Given all the definitions of the words esprimere, esprimersi, and espresso in pons.com and collinsdictionary.com, I don't see how "il controverso presidente della Bosnia-Erzegovina" can be "espresso dall’etni...

In Agile, Scrum, in which situations is used the word "creep" ? Can I tag or define my stories added in a active sprint as creep? In my current company, we work using Agile and Scrum methodologies. We try to respect the best practices but we also modified the method to fit our needs as recommende...

A friend has recently told me that while string instruments and aerophones are suitable for playing chords, bells and most other instruments are not. He said the reason is that when you play a certain note on a strings instrument or an aerophones, it produces the main pitch and overtones in other...

I was inspecting the output of a 22V to 5V buck with my oscilloscope that I integrated into a PCB, and I was wondering what I could do wrong Here is the electrical scheme: Here is the layout (ground plane is below): Here is a picture of the real PCB: Here is a picture of what the oscilloscope...

Context I have the following image being produced with the following code: Image Code \documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \usepackage{amsfonts} \usepackage{pgfplots} \pgfplotsset{compat=1.18} \usetikzlibrary{spy} \usepackage{siunitx} \usepackage{float} \usepacka...

In news articles, I often read that some organization refused to comment on an issue because it is the subject of "ongoing litigation". This is also mentioned in many guides on public relations, for example this article, How to Control Your Message During a Media Interview, says: If there are le...

Firefox is broken on a fresh install of Ubuntu 22.04 LTS (Xubuntu) with Firefox 113.0.2, installed by the now default method, from Snap. When I try to launch Firefox with a profile that is already running, I get an error: "Firefox is already running, but is not responding. To use Firefox, you mu...

I need some clips that fit on the ends of rods that look like: Do they have a more common name than 'omega clips'? I can't find much if I search for that name.

A lots of songs,in English,have "yeah" in their lyrics. Is there an equivalent in Latin for that. Does Latin have some interjection or particle that could be used like "yeah!"?

I submitted my research article in mathematics (number theory category) on Thursday. It has been seven days since my paper status was "on hold". I have submitted several papers before, but this time it took a long time. Let me tell you that I always submit my articles from my supervisor's account...

I am looking for a QGIS expression in Field Calculator that delivers the values "good", "medium" and "bad", depending on the percentage that the geometry of features in Layer 1 (red polygons) intersect with the geometry of feature-class A (green polygon) or feature-class B (yellow polygon) of Lay...

So essentially I need to scale edges so that the offset after transformation is constant distance away from original geometry (something like the opposite of inset). I need it to be procedural, so it has to be done using a combination of modifiers and geo-nodes. Is it possible? If i just use the ...

It's been decades since I wrote anything in BASIC. But I'm curious: If I were to go back and start playing around with it, would my test coverage be essentially zero percent by necessity? Or is there a way to write unit tests? (I can't think of a way to do it, but I'm quite rusty and would be hap...

How can I eliminate the imaginary part? It is zero, but Mathematica does not seem to simplify it. expr = (1/ 10020) E^(-(250000/47) (t + 3 I Sqrt[167] t)) (5010 E^(250000/47 (t + 3 I Sqrt[167] t)) + 10 (501 - I Sqrt[167]) m + I (2505 I + 799 Sqrt[167] + 400 Sqrt[167] n -...

I know that Subsets[list] gives the power set of list and Subsets[list,{k}] gives all subsets containing exactly $k$ elements. They all give all the subsets at once. I want to output them iteratively. I saw that Wolfram has a package called Lazy. I installed it according to the instructions. Howe...

For one of my (many) science-fiction projects, I am designing immense rotating space-habitats. These titanic structures, (similar to Bishop rings; see here https://en.wikipedia.org/wiki/Bishop_Ring_(habitat) have an area comparable to that of Germany, and are large enough to retain an atmosphere,...

Pointing at his new designed map, Tom proudly said that it was not a piece of paper, but a record of ____________. A. organized geographically information B. geographical organized information C. geographically organized information D. organized geographical information The answer is C. But D i...

My component is using Joomla Categories and I'm using the following code to fetch a category: $component = Joomla\CMS\Factory::getApplication()->bootComponent('com_khub'); $category = $component->getCategory(['published' => 0])->get($catid); Joomla is complaining that class Khub\Component\Khub\S...

The Apex includes a system class named Object which serves as the foundation (superclass) for all standard and custom types. Questions Which methods does the Object class contain, and which ones can be overridden? Is there any available documentation regarding the Object class? I found that: no ...

In the scene from Reservoir Dogs (1992), where Holdaway meets Orange in the restaurant, Orange informs him that he is now part of Joe’s team. Holdaway: If this crook’s a Brewers fan, his ass has gotta be from Wisconsin. I’ll bet you everything from a diddled-eyed Joe to a damned-if-I-know, that...

Replace the question mark with a fitting image.

This has started to happen about 2-3 weeks ago, and is not stopping. One reason that I think caused all this is heat. The temperature here was was about 107F(42c) for several days on and off. My watering routine was 10 gallons per inch (total 4 inch trunk) of tree trunk every 4 days. The soil is ...

On page 104, Dummit and Foote discusses the extension problem and makes the following remark: Part (2) of the Hölder Program, sometimes called the extension problem, was rather vaguely formulated. A more precise description of "putting two groups together" is: given groups A and B, describe how ...

In chapter 1 of Portrait of the Artist as a Young Man, Stephen is home from school for Christmas and overhears his family talking. He hears this exchange between his father, Mr Dedalus, and the family friend John Casey. Mr Casey took the glass, drank, and placed it near him on the mantelpiece. T...

One thing that puzzles me, is how to guess a meaning of a kanji by deducting its radicals. For instance 神 (god), is constructed of ｜ 日 礼 田 . What's the idea behind it? A stick combined with a sun combined with bowing/ceremony in a rice paddy? How do I have to see a god in that combination of radi...

I'm not much familiar with this topic, but nontheless I have a problem understanding the context. Following this link Second Isomorphism Theorem, they state that $HN/N$ is a group under left coset multiplication. They then define the map $\phi(h)=hN$ (a map from $H$ to $HN/N$) where $N$ is a norm...

I am modeling an SSR MKII rim and I wonder how could I get the selected edges/vertices aligned like the red line: I tried rotating by selecting the last vertice highlighted in orange with active element applied but that doesn't rotate the ones next to it in the same way. Thank you for your help ...

Hey, I want to add two braces as labels for a matrix. I am able to add the top brace label "r". But when I add the bottom "m - r" label, it becomes branched. Here's my code in Latex. \[R = \raisebox{0.5em}{$r \left\{ \rule[2em]{0pt}{0pt} \right. $} \raisebox{-2em}{$m - r \left\{ \rule[0.5em]{0...

I have multiple notebooks open, with similar variable declaration (am studying test cases), and I want all notebooks to be independent of each other, and also forget it's own evaluation after finishing. I have added ClearAll["Global*"] at the top of the notebook. Also done: Default Kernel as Loca...

From the following table structure with the fields "ORIG_LATITUDE", "ORIG_LONGITUDE", "DEST_LATITUDE", "DEST_LONGITUDE": I clarify that the field names describe with their prefix the coordinates belonging to the Origin (ORIG) and Destination (DEST). I would like to draw an arrow with the make_li...

The Bible mentions in a passage that the flesh cannot have life without the spirit. Both the spirit and the flesh need to be present for that person to be considered a living soul and for this I am going to quote several passages in the Bible. In the beginning when God created Adam out of the mud...

I'm dealing with a long (2 m+) waste pipe coming from a bathtub. It's currently completely unsupported and is bowing in the middle. What's the best way of supporting its weight when full of water? The chipboard above has tiles laid directly on top so screws will be troublesome.

Assuming a technological level similar to or slightly more advanced than our current one, what is the longest amount of time that a frontline, foot slogging soldier could expect to survive and carry out all their necessary combat duties while wearing a level of protection equivalent to something ...

I'm planning on doing a 2000km trip (through Spain and Portugal). I'm wondering if I should do anything to my spokes before the trip. The spokes have accumulated the following distances front spokes: +- 6400km (4000miles). rear spokes: +- 21000km (13000miles). About 2000km ago (i.e. after the re...

Examples of solutions to linear differential equation are (from Wikipedia): exponential function, logarithm, sine, cosine, inverse trigonometric functions, error function, Bessel functions and hypergeometric functions. So in this sense these are linear functions (for some generalized notion of "l...

I was waiting at a red light and the person behind me hit me. Her car ran over my rear wheel crushing it and over my frame. I have checked the frame were there are indications of her car but do not see any cracks. I tested with a coin and did not hear anything and had my bike shop look at it. Whe...

Suppose we take an example of $\text{Be}^{2+}$ and we add two muons to it. Will they go into L shell or there will be two K shells - one each for muons and electrons? If so, the system should have double noble gas ($\text{He}$) configuration?

I got a site that all of its pages (besides the blog), are implemented using custom page templates. The custom templates use static HTML content, which, I believe, isn't indexed in the catabase. Apparently, WP does not search inside these pages. Anyone has an idea how I can achieve that? What sol...

I'd like to go to Russia but I'm worried that Russian stamps might look bad on my passport.

I am trying to minimise the functional $$V[z]= \int_{-a}^{a} z \sqrt{1+(z’)^2}dx.$$ Note $f(z, z’, x)= z \sqrt{1+(z’)^2} $ hasn’t got any dependence on $x$, so $$f-z’ \frac{\partial f}{\partial z’}=0$$ at the extremum. $$\frac{\partial f}{\partial z’}=z \frac{1}{2} (1+(z’)^2)^{-1/2} 2z’$$ So the ...

I have the content like below in a /tmp/myfileslist test1/a/sample1.xls test2/demo.sh I want to remove .extentions and content before slash , also slash is to be removed.I want the output as sample1 demo

I want to generate SVG from Lilypond. I have used the following command: lilypond -fsvg music.ly It works correctly. Trouble is for big input files multiple svg files are generated. I would really prefer to have a single file. How to do this?

I know that a subset $H$ of a group $G$ is a subgroup if (a)If $a$ and $b$ are in $H$, so is $ab$. (b)1(the identity) is in $H$ (c)If $a$ is in $H$, so is $a^{-1}$. I am wondering if the condition $(b)$ is unnecessary. The definition seemed to assume that the $a^{-1}$ in $H$ is the same as the $a...

I'm looking to find an efficient method of matching all values of vector x in vector y rather than just the first position, as is returned by match(). What I'm after essentially is the default behavior of pmatch() but without partial matching: x <- c(3L, 1L, 2L, 3L, 3L, 2L) y <- c(3L, 3L, 3L, 3L...

As a follow-on to this question, I ask the question in the Subject line. It seems more visible in tiny 1950s-1970s Socialist and Marxist factions (satirized in the conflict between the People's Front of Judea and the Judean People's Front), which were constantly fracturing into even tinier groups...

I was just watching BSL/LFSB on Flightradar24 and noticed that flight W67772 didn't start its take-off run from the end of the runway. Wouldn't it make sense to start every take-off from the end to have more runway available in case you need it (for whatever reason)?

I have the following minimal working example: \documentclass{standalone} \usepackage{tikz} \usetikzlibrary{calc} \begin{document} \begin{tikzpicture} \coordinate (A) at (-1, 1); \coordinate (B) at (2, 2); \draw (A) -- (B); \draw[dashed] let \p1 = (A), \p2 = (B) in (B) -- (5, {((\y2-\y1)/(\x2-\...

I've recently been re-learning some physics, and a question came to me when looking over Hooke's law: In the following I am always assuming that the force required for permanent deformation is sufficiently large and thus irrelevant for my purposes. Hooke's Law gives that the force applied to a sp...

Take any triangle, and draw any number of cevians from the top vertex to the base, with any spacing between the cevians. In each sub-triangle thus formed, inscribe a circle. Now rearrange the order of the circles from left to right (but don't change their radii). Adjust the cevians so that each ...

I am currently analysing landscape change in the Netherlands, for which I am using maps which have Amersfoort 28992 as their standard CRS. However the most recent map uses Amersfoort 4289 instead. For my analysis I need to change the raster resolution of the most recent map, which I was planning ...

For example, stamp is pronounced as 's dæm p', etc.

Please consider the Table below Item Sample Mean Sample count, n Sample Standard Deviation Standard Error SD/sqrt(n) Unit A 95.9461 PSI n=430 3.8397 0.185166776 Unit B 94.488 PSI n=25 2.5344 0.50688 Now when I want to show if these two tests are significantly different from each ...