I was planning to make numerous custom bound journals where I use a piece of transparency film as the protective cover around all my pages and would also be bound with the pages. Part of my idea was having a black and white image printed on the covers and then a colored transparency over them for...

Following the instructions on the arduino install page, once I arrive in my extracted directory and run install.sh in the terminal, I get the message 'install.sh: command not found'. https://www.arduino.cc/en/Guide/Linux How do I install the Arduino software on ubuntu 20.04 64-bit?

I'm having a tough time trying to determine which form of movement is faster in the game since I can't reliably hit the dodge-roll button exactly when it is off of cooldown. As you see in many speedruns, dodge-rolling is often quicker/better at covering distances. Is this also the case in Arceus?

Romans 14:7-9 (ESV): 7 For none of us lives to himself, and none of us dies to himself. 8 For if we live, we live to the Lord, and if we die, we die to the Lord. So then, whether we live or whether we die, we are the Lord's. 9 For to this end Christ died and lived again, that he might be Lord bo...

I’m a web designer with minimal knowledge about DNS records etc. I have a client who currently has a domain registered with LCN. They also have their email provided by LCN and they currently have a wordpress.com website. They now want a new website which I’m going to build using wordpress.org. I ...

In a future police state, I need a way for investigators to determine who was present at a protest that turns violent. My idea is that police use flashbang grenades to disperse the crowd that leave a radioactive trace on the participants. Agitators who wear disguises can be detected later at secu...

I am trying to parse an XML with ![CDATA where multiple attributes are embedded into ![CDATA tags. By referring to multiple suggestions on parsing XML with CDATA, I have implemented below sample code to parse the xml and read the content in CDATA. String responseString =res.getBody(); ...

Can I add a text from MS Word into the QGIS print layout and keep the text format? (Words with bold style of text, words with different text sizes, and so on.) My final goal is to export the print layout (with text from MS Word included) as a high-quality PDF file. I have tried to do the opposite...

Is there any legal jeopardy today in a Western democracy for saying that it would be right to assassinate an unspecified evil leader, for instance, one engaging in a genocide like the Holocaust? I live in a Western democracy, i.e., western Europe or North America. Whatever you think of particul...

For the year 2021 I received $1200 Total Advance Child Tax Credit. My spouse also received $1200 Total Advance Child Tax Credit. When I go to Turbo Tax and enter this amount Myself: $1200 Spouse: $1200 Total: $2400 When I enter the amount, my tax owed goes up? Why?

Recently I came across a website and when clicking on one of hyperlinks it displayed a HTTP 500 error page as shown in the image, which indicated that it is using Java Server Pages and on line 23 the code read as Connection con = Drivermanager.getconnection(conStr,"some_username","some_password"...

In my recent MO question, Darij Grinberg mentioned a closely related (structure-wise) determinant, that is, $$\det\left(x_{\min\{i,j\}}\right)_{i,j}^{1,m}=x_1(x_2-x_1)(x_3-x_2)\cdots(x_m-x_{m-1}).$$ In particular, $\det(\min\{i,j\})=1$. This prompted me to ask: QUESTION. Is this true? The charac...

How can I can I find files that contain a specific pattern on a specific line number ? Let's assume I have a directory with a bunch of text files containing 3 lines, such as: Title A Category X Description Y How can I grep / filter every files that have Category X on line 2? How can I find files...

I'm having trouble with the steady-state savings rate type of problems. Here is the problem I'm stuck on: The production is $Y = 0.5*K^{1/3}(AN)^{2/3}$. Depreciation rate is $2$%, at $2$% number of workers grows per year, and $3$% is the rate of technological progress per year. If savings is $14...

I'm a mathematician who would like your help getting the right text for EM to suit my needs. I want to learn more a bit about applied EM. Mainly about antennas and transmission lines, reciprocity, stuff like that. I have now tried three books and they have all had something that didn't work for m...

In the setting of a novella I am just beginning to write, computing and engineering are significantly ahead of our world, but biotechnology lags massively behind: They have very efficient brain-computer interfaces and brain-controlled artificial limbs that are almost as good as the real thing, al...

In Chopin Prelude Op. 28 No. 1 (C major) has a particularly mysterious mutated note in the 12th bar shown in the red box (this note does not repeat the voice of the previous blue box): Question Is there a good reason why Chopin chooses to only mutate this note in the red box, not in the other bar...

I am writing a paper presenting a mathematical theorem I recently proved. However, while reading one of the papers that I am citing, I found out that the same result (or something very similar) might be present in the author's Ph.D. thesis. To be more precise, the author only alludes to the exist...

I want to understand the proof given on the wikipedia page for the Wiener Algebra $A(\mathbb{T})$ (see here) that $A(\mathbb{T})$ is closed under multiplication. We have $$ A(\mathbb{T}) = \{f:\mathbb{T} \to \mathbb{R}: \|f\| < \infty \} $$ with norm $\| \cdot \|$ given by $$ \| f\| = \sum_{n\in...

I have a problem and I would like to display my table in a slightly different way. First of all, I would like to have a little more space between the individual rows and furthermore, the table is very much centred/pressed to the left. I would like to have the table take up all the space so that i...

I have table with three columns in it. First is product_id linked to another table, second is att_id with link to another table and last one is val_id linked to different table. There are rows with same product_id with val_id and att_id combinations. Every product_id can have different number of ...

I’ve been going through Lee’s Introduction to Differential Geometry. It’s a great book but I feel it lacks examples and concrete applications of the ideas presented. I want to work out a list of problems involving quotients of Lie group actions on manifolds, quotients by Lie subgroups, by normal ...

Most 'Y with X' forms have Y as a verb - riddled with holes, filled with joy - but there are some commonly used examples where Y is an adjective. Is that a generally accepted construction that may be extended, or are those exceptions - isolated affectations that have slipped into general usage?

IMP scoring. Neither vulnerable. Right hand opponent was the dealer and opens 1C. The auction went E S W N 1C 1S P 2C 3C P P 3S P P P I had South AQxxx JT Axx xxx Partner had North xxxx KQxxxx x Ax I had a lot of losers -7 even if we lose no sp...

I am working on a problem wherein I am trying to predict how much 'percentage a student will score exams' based on the 'number of hours the student study', 'number of hours the student play', 'student's attendance in class', 'students hobbies', 'gender', 'his parents education' etc. Now the chall...

One fundamental of Haskell is that a string is really a list of characters. Another fundamental is referential transparency, in that a pure function must always give the exact same result when given the same input. However, these do not seem to be true in actual practice. For example, I created t...

I have tried to come to terms with the notion of "complex systems" of which I heard in one of the lessons at school though without too much depth. I grasp that a complex system is such that the behavior of the elements in the system do not yield wholly the behavior of the system as a whole - in s...

Let $K$ be a field. Consider two elliptic curves $E,E^{\prime}$ over $K$ isomorphic over $K^{\textrm{sep}}$ or equivalently having the same $j$-invariant. Suppose there exists a non-zero $K$-isogeny $E^{\prime}\to E$. Is it always true that $E$ is isomorphic to $E^{\prime}$ over $K$? I am particu...

Over time, the wing aspect ratios of commercial airliners have increased. For evidence ,see the following data: 1980s: Boeing 747-400: 7.91, Boeing 757-200: 8.0 Boeing 767-300: 8.0 Airbus A310: 8.8 1990s: Airbus A330: 10 Airbus A340: 9.2 Boeing 777: 9.96 2000s: Boeing 787: 11 The advantage of a h...

This question is motivated by a real-world application related to an art project that involves displaying images, but my search hit a dead end after finding the wikipage about Kirkman systems (other related terms include Steiner systems and the Social golfer problem) and looking over references l...

I've found a string that's showing the posts title - blogname as title in the browser, but it's adding an extra ' This is the code I'm using: <title><?php wp_title(‘ | ‘, ‘echo’, ‘right’); ?> - <?php bloginfo(‘name’); ?></title> I can't see any extra ' so I don't know what's wrong.

I am attempting to animate my parametric plot and add a particle to move on the line but I am having difficulties. Here is my graph for the trajectory: Manipulate[ParametricPlot3D[{v t, v γ Sin[θ t], v γ Cos[θ t]}, {t, 0, 20}], {v, 0, 2π}, {γ,0,2π}, {θ, 0, 2π}] I want to have a circle that fo...

Say that I have the model $Y=AX + E$ where $Y,X \in \mathbb{R}^{n\times m}$ and that $A$ is an unknown $n \times n$ matrix and E is a matrix of observation noise. When I place an uninformed prior on the parameters in $A$, NUTS sampler (specifically in PyMC) tends to throw an error that the gradie...

Recently I came across the phrase « Il n'a garde d'en assoupir la douleur » which according to DeepL, translates to " it does not dull the pain". I assume that the ne garde is just a rare negative construction, similar to ne point. However, I'm having real trouble trying to unravel the d'en assou...

Bought a condo where exhaust fans weren't working with the plan to just replace the motors (both fans are identical). Found this replacement motor for the current JA2C463N motors (https://www.homeessentialsdirect.com/pennbarry-60030-0-1-80hp-115v-1400rpm-1spd-motor-60030-0/), but figured I shoul...

is there a quick way to move a face to meet another, but keeping the connected edges at their current angle? I'd like to make my yellow side wall meet the red post, filling the gap between the two. Simply moving the face along the Y axis would change the angle of the wall's slope - I want to keep...

Training to be an ATC on VATSIM. I live in the Boston area, so I'm training with VATUSA. In the US, METAR visibility data is the only exception to 'miles' = 'nautical miles' rule (that I've learned about/am aware of). All other use of 'miles' including speeds (knots) are in nautical miles. It se...

I learned some time ago that the Soyuz capsules use hydrogen peroxide as a monopropellant. I'm trying to use this fact for a chemistry question posed to my students, but I cannot find anywhere how much the descent module holds, just that it uses hydrogen peroxide. What's the propellant mass for t...

I am using GAP (see https://www.gap-system.org/) in a number theory class to display a variety of number theoretic functions and number theory problems. I've written code in GAP to implement the RSA encryption scheme but unfortunately, the random number generation I am using (x := Random([1..10^...

Why does this .c file #include itself? https://github.com/powturbo/TurboPFor-Integer-Compression vsimple.c #define USIZE 8 #include "vsimple.c" #undef USIZE #define USIZE 16 #include "vsimple.c" #undef USIZE #define USIZE 32 #include "vsimple.c" #undef USIZE #define USIZE 64 #include "vsimple.c

Since I read that the black hole in the center of the galaxy has much less mass than the galaxy itself and that it is somehow held together by "Dark matter". so now I am wondering if it is possible that there exist galaxies where a star is at the center of it.

I'm looking for a way to have users register their email and then get sent a document, like you often see on sites offering white papers. I've looked at many of the download extensions on the JED but all seems to be targeting allowing access to downloading selected files as from a repository. And...

Can someone please tell me how it becomes possible in TinyMCE that a custom HTML element e.g. <my-custom-element>text...</my-custom-element> when saving the article is NOT always forcibly converted to <p><my-custom-element>text...</my-custom-element></p>, but remains without the added <p>... </p>...

So here is the basic setup. The parasite lives in the cells of it hosts and can only spread via reproduction, and will spread 100% of the time to a child regardless if the infected was the mother or the father. The infected are strongly encouraged to raise families with the uninfected. For the sa...

Suppose $\mu$ is an outer measure on some arbitrary set $X$. We say a subset $E$ of $X$ is $\mu$-measurable if and only if $$\mu(A) = \mu(A \cap E) + \mu(A \setminus E), \quad \forall A\subset X.$$ I am having some trouble understanding the motivation behind this statement. Wikipedia gives one in...

My professor is talking about how Lorentz boosts do not commute and how it relates to Thomas Precession, but I am struggling to wrap my head around the implications of that and how it works. Also confused about how commutation in general is applied to areas other than quantum mechanics.

I'm trying to prove Milman-Pettis's theorem. Let $E$ be a uniformly convex Banach space. Then $E$ is reflexive. Clearly, my attempt is not correct because I have not used the uniform convexity of $E$. Could you elaborate on where my logic fails? Let denote by $E_w$ the set $E$ together with th...

If pilots have no control over brakes / air brakes / reversers, can they slow down the plane after landing by carefully steering it off the runway into the grass? Would it be better to put only one gear into the grass or all three?

I've got a fairly small community of people that, after a genocide, some survivors moved into a cave system. They've been living there for about 5 or 6 generations now and rarely leave the caves except occasionally at night when they need to get food. These caves are pitch-black except for a fain...

Matthew 10:28 `And be not afraid of those killing the body, and are not able to kill the soul, but fear rather Him who is able both soul and body to destroy in gehenna. (YLT) And do not be afraid of those who kill the body but are unable to kill the soul; but rather fear Him who is able to des...

Here is a simple test: Create a new document and a text frame Type | three | | | | lines | | | | of text | Change the alignment of the second line to the right, so that now you have | three ...

I thought -- but forgive me, can't find it now -- that the Gemara assumes if a husband provides for his wife, then he has the rights to minor earnings she makes from spinning or the like. The Gemara then asks what if she does multiple jobs at the same time? Some humorous example of spinning while...

I'm finding images imported into Mathematica 13 notebooks are noticeably pixelated. (Oddly, pasting an image into a notebook cell does not have this problem.) Has the default changed for some import option? Example figure generation with color and text: g1 = Graphics[{ {LightGray, Rectangle[{...

I thought of adding a validation rule to the Account that would check if an account number already exists via VLOOKUP. Unfortunately it seems that $ObjectType.Account.Fields.AccountNumber is not working for some reason. Any ideas what I'm doing wrong? Is this even supported?

It is often stated that some of the "hidden subgroup problems" can be efficiently solved by quantum computers if the group is abelian, while no efficient algorithm is known for the non-abelian case. The problems of the first case include factorization which is in NP (more precisely, there is a de...

I have designed the wien bridge oscillator circuit for 20Hz square wave generation. It gives a 20Hz sinusoid as output when I keep the non-inverting amplifier gain 3V/V. But when the non-inverting amplifier gain is very large, the circuit gives a 7.5Hz square wave as output instead of 20Hz. Why i...

Suppose we are working over the set $\mathbb{R}^2$. What is the formal definition of a rectangular coordinate system for $\mathbb{R}^2$? Informally, we take two perpendicular lines $X$ and $Y$ in $\mathbb{R}^2$, and, letting $O$ be their point of intersection, we choose points $A$ and $B$ on $X$ ...

I am new to blender and I am trying to add gloss to my image and it works, except the transparency on the image is black instead of transparent and I have no idea how to solve it with nodes. What do I have to do to make the black parts of the Image Texture transparent? This is what I came up with...

can anyone know how to draw a vertical arrow over a whole proof to show, that the proof goes from the bottom to the top? My MWE is here: \begin{proof} \begin{align*} \epsilon \in \R^+: \abs*{\frac{2n-3}{3n-2} - \frac{2}{3}} &< \epsilon \\ \abs*{\frac{-5}{3(3n-2)}} &< \epsilon \\ \...

In my music theory PhD work on scales, I've come across certain classes of musical scales, which I believe might have parallels within mathematics and I hope you can help me learn more about these classes from a mathematical point of view (I am quite ignorant in Mathematics). In my work, I repres...

For every $n\in\mathbb N_0$, let $P_n$ be a polynomial of $\mathbb C[z]$ with degree $n^2$. One assumes that for every $n\in\mathbb N_0$, $P_n\mid P_{n+1}$ in $\mathbb C[z]$. Can one assert that the function $\sum_{n\ge0}\frac{1}{P_n(z)}$ defines a meromorphic function? Thanks in advance for any ...

Hi guys I created a mobius strip and applied a wireframe modifier to it. It seemed like that it became a complicated wireframe because I used the triangular prism to array. However, I just want to keep the three lines and remove the triangle lines. Anyone could help me to figure it out? I am loo...

I read it decades ago, but then I watched Ex_machina and the tale came to my mind. It was, most likely, an Asimov's short tale. The lady houseowner acquired a servant male robot that would perform house job for her in a perfect manner, cook, clean, etc. I remember she was mesmerized with the robo...

I have a number representing date (yyyymmdd): 19001231 I want to convert this number to {1900,12,31} How to do this? There should be easy answer.

At 23 I am cold. But at 8 all I did was Hint: Hint: Hint: Hint: Hint:

During our travels around the galaxy we found many alien cultures with different number systems. However, this specific civilization was quite interesting: they had a decimal numeral system, just like ours! To facilitate communications we learnt their decimal numerals and they learnt ours (0, 1, ...

I read this about 40 years ago (another one, yes), but I believe the book was a few decades older than that. Probably Asimov's or Ray Bradbury's. It's a short tale; some influential people need to lead the general crowd, but are unable to do so. They find a man with an outstanding authoritative f...

I want to fill in an already printed form. The form has boxes to write down current date. How can I expand current date so that it look like 1 4 0 2 2 0 2 2 with a space between the digits

I am trying to achieve one session per user for content management on XP9.3, understand that there don't seem to be an OOTB solution for this. So if a user have previously logged in on chrome onto content management, and subsequently logged in on another device, I would like to revoke the session...

Let's say, for whatever ungodly reason, I want to precisely calculate p-values by hand, without looking up tables for approximate values. What is the exact specific formula for arriving at a p-value, given a t-stat and degrees of freedom?

An animal, probably a fat rat, has got stuck in an underground 100mm (4 inch) stormwater drain pipe and blocked it somewhere in our front yard, possibly under the driveway. The drain has started to stink and rainwater to pool in the backyard. The pipe is around 60 meters (~200 feet) long and I do...

I am reading James Scully's translation of Aias (also known as Ajax), in The Complete Plays of Sophocles, translated by Robert Bagg & James Scully. When Aias first enters, his speech is quite informal, lacking normal capitalization or sentence structure: O O my sailors! friends!         you alon...

Consider some list $A=(a_1,a_2,\cdots,a_n)$. I'd like to find a closed form for the following operation. $$f(A)=\sum_{k=1}^n(-1)^{k-1}s_k= s_1-s_2+\cdots(-1)^{n-1}s_n.$$ Where $s_k$ is the sum of all combinations of products of $k$ unique elements of $A$. For example, if $A=(x,y,z)$, then $$s_1=x...

ATP, NADH and FADH2 are high energy molecules. The second half of glycolysis is known as the pay-off phase, characterised by a net gain of the energy-rich molecules ATP and NADH. In fermentation, for example, pyruvate still has energy into it. If you had oxygen around, you could have cellular res...

I have a CSV file like this Name, Number Apple, 5 Oranges, 20 Banana, 50 I have a latex template \docementclass{article} \begin{document} I have [number] [Name] \end{document} I would like to populate fields from tables and generate one pdf file/page for each row. How can I do this

I heard [34:22-34:29] part of this YouTube video as follows; "You have to be sure to check into the Jack Rabbit Trading Post. Great prices and the people who run there so just great people." Did I hear the part in bold right?

I've been trying to resize the render resolution adjusting the format, but when i hit render, the final image gets a large transparent area that is not rendered. As i increase the resolution size, it gets worse. Any ideas on what i am getting wrong an how to solve this?

In the Compositor, there is this node called File Output node that allows output additional files : They are very useful when you want to render extra passes or just render the output of a node without using the Composite Node. The problem is that, I don't know of any way to explicitly chose the...

Consider the matrix 'm1' : m1 = RandomReal[{0, 1}, {100, 100}]; Let's draw a rectangle in this matrix dim = 100; (*matrix dimension*) t1 = Table[{i, j}, {i, dim}, {j, dim}]; (*matrix coordinates*) alpha = -Pi/3; k = Tan[alpha]; (* 0<alpha<Pi/2 *) t2 = RandomSample[Flatten[t1, 1],50]; (*randomly ...

I am trying to understand the difference between bias-variance and overfitting-underfitting. If a modal overfits the data it means that it will not generalize well on new data because it over learns the training dataset. I can also say that this overfitting model is biased for the training exampl...

Under Joomla 4 the language files for the core extension are no longer prefixed with the language code, e.g. en-GB.com_banners, however when I look in the manifest folders the files are defined with a prefix. Directory entries /administrator/language/en-GB/plg_webservices_banners.ini /administrat...

A skyline is an array of positive integers where each integer represents how tall a building is. For example, if we had the array [1,3,4,2,5,3,3] this would be the skyline in ascii art: # # # ## ### ###### ####### Your task is to find the area of the largest rectangle in the skyline. In ...

We read two different translations: “These will pay the penalty of eternal ruin, separated from the presence of the Lord and from the glory of his power,” ‭‭2 Thessalonians‬ ‭1:9‬ ‭(NABRE‬‬) Vs “who will pay the penalty of eternal destruction, away from the presence of the Lord and from the gl...

When we retrieve a static resource and convert into dx format, cli will rename the .resource to .png if mime type in the .resource-meta.xml is image/png. Is there a list of such mime types that cli deals with and renames it for us?

I saw these different words used to describe someone who was something careless in an airhead type of way so I wanted to know if they mean that or if there is nuance in the definition. Is there another word for airhead if that isn't the definition then?

I'm reading an article Frequency-Warped Signal Processing for Audio Applications which is talking about frequency warping. I'm sorry that I can't find any open access version of this article. Say a signal or impulse response $s(n)$, its $z$ transform is given by $$ S(z) = \sum_{n=0}^{\infty}s(n)...

I'm comparing lightning and fire, both are related to ionisation of air but lightning happens so fast in a blink of an eye while fire goes on until it runs out of fuel. My question is despite being plasma just like a fire, why lightning occured so briefly?

I'm trying to draw a line with TikZ from the top left corner of the text area, but a gap appears both horizontally and vertically. I specified \noindent, but there is still a gap. \documentclass[a4paper]{article} \usepackage{geometry} %------------------------------------------------------------...

I'm trying to make a curve from a set of angled edges but I can't seem to find the right tool to do so. Replicating this curve trying to turn selected Edges into a Curve i tried using LoopTools addon making a curve, but that didn't work. so Is it possible? thanks in advance

Over the last three years, I’ve regularly commuted by bike - thirteen kilometers each way pre-pandemic, now I’m down to five each - and until recently, it’s gone smoothly. To my surprise (especially since I have no stamina running) I didn’t much mind the thirteen km on my heavy three-gear commute...

Just looking for a toggle that would disable geo-nodes instances easily. I appreciate I can do this manually in the outliner but this would also kill the base geometry in the view. I would just like to disable all scene instances with one click.

Let $P(n)$ of a sequence $s(1),s(2),s(3),...$ be obtained by leaving $s(1),...,s(n)$ fixed and reverse-cyclically permuting every $n$ consecutive terms thereafter; apply $P(2)$ to $1,2,3,...$ to get $PS(2)$, then apply $P(3)$ to $PS(2)$ to get $PS(3)$, then apply $P(4)$ to $PS(3)$, etc. The limit...

After upgrading to CiviCRM 5.43 we've noticed that some fields are blank when performing an export after searching for activities. This is something we do regularly and was working fine before the upgrade.

A good ordinary book or body-text font should come with smallcaps. How high should the smallcaps be? I suppose this would be expressed as either relative to the x-height (i don't think all smallcap designs make them exactly the x-height), or relative to the cap-height.

I was curious what IP's are stored in the new and the tried tables in the bitcoin nodes when the peers have onion addresses.

We read in 1 Cor 10:16-17 (ISV): The cup of blessing that we bless is our fellowship in the blood of the Messiah, isn’t it? The bread that we break is our fellowship in the body of the Messiah, isn’t it? Because there is one loaf, we who are many are one body, because all of us eat from the sa...

I am currently writing my Ph.D. thesis. The thesis is in computer science specifically the data science domain. The thesis will be based on my 8 first-authored publications in IEEE, ACM and springer. The final thesis will be eventually available online for public by the university library. Can I ...

Is there any risk in / disadvantage to applying for an ESTA, but then not travelling with it after all? Would not using it be considered "suspicious" or cause any problems later? My travel plans are not quite certain yet, and I would like to get the ESTA out of the way before proceeding with deta...

When attempting to prove a statement, I am always told that you cannot start with the statement to be proved, and then work rearrange the equation in order to attempt to prove it to be true. For example, in proving: $$x+y\geq2\sqrt{xy}$$ Instead of rearranging to $$x+y-2\sqrt{xy} \geq0$$ $$(\sqr...

I read this book at least three decades ago, in a paperback edition, rather fat. It might be much older than that. I know it was a Fantasy novel, but indeed this quote is not specially related to the Fantasy aspect. I remember vividly one scene, of really no importance to the plot, because I foun...

I have created a web experience that is using a decision model. My decision model is returning HTML and I want this to be used as HTML in my web experience.

I'm using Lasso Regularization to avoid overfitting & multicollinearity between two features (X1 and X2), nowing that I have 14 independent features. I got some good results for some features, Lasso was able to reduce the coefficient to 0, but for other features the linear regression coefficient ...

I am reading a journal paper where they analyse the proteome of synaptosomes. In this paper, they isolate synaptosomes from the hippocampi of mice. I know that synaptosomes contain the complete presynaptic terminal along with the postsynaptic membrane and post-synaptic density. I am trying to und...

How to set the font size of the node in the following code to \small ? I want to have the font size of the node to be the same as the font size specified under LM/.style. I tried \node at (0.9,0.85) {\small $\phi$};. This does not work. \documentclass{article} \usepackage{graphicx,tikz} \usetikzl...

I have a 2011 VW Golf Mk6 Variant (European spec) with a 2.0 TDI Engine (CFHC engine code: with DPF but no AWD and no AdBlue), automatic gearbox (6-speed DSG), and 200.000 km on the clock (around 125.000 miles). I have been facing a strange issue in the last year or so: the engine warms up normal...

The equations I wanted to solve is as follows neweqns=Sin[a - b] == Sin[b] + Sin[b - d] && Sin[c] + Sin[c - d] == 0 && Sin[a - d] + Sin[b - d] + Sin[c - d] == Sin[d] && Sin[a] + Sin[b] + Sin[c] + Sin[d] == 0 && ((Sin[d] == 0 && 2 Sin[b] + Sin[c] == 0 && 2 Sin[a] + Sin[c] == 0) || (Si...

I am currently working on Precise GPS project, so I am doing some researches about the subject. I have already understood that the GPS receiver knows its location by calculating its distances from 3 satellites, and by eliminating one of the two points of the intersection of the 3 spheres. I have ...

I just got this charger circuit from my broken charger. I would like to know about the circuit of the charger. When you see the circuit, the AC line is directly connected to a bridge rectifier which will convert AC to DC. It goes to a step down transformer. What I don't understand is that tran...

The four color theorem proved that at most 4 colors are necessary to properly color any map (countries sharing a border have different colors). My question is the following: Does there exist a map with 4 countries of congruent shape (same shape and same size, rotations and translations allowed) s...

I have an existing character model I'm attempting to render with a 'hologram' like effect (Fresnel, alpha, etc) applied as part of a scene using Cycles. The model has three existing materials (body, accessories, eyes). However, quite a lot of the interior geometry such as the details inside the m...

When I was a kid, some 40 years ago, I visited Georgia and had a dessert I still (vaguely) remember but could never find a note on. It was based on a whole unripe walnut (I think it was a walnut - it could have been a large nut) that was in some kind of syrup (or at last fluid). I do not remember...

This is a from a HSK6 past exam (paper H61005, page 18): 每一个中华老字号都是一个品牌奇迹，“同仁堂”有 300 多年的历史，京城最老的老字号“鹤年堂”的历史超过 600 年。今天它们不仅仅是品牌，更是一种文化，当我们提起这些品牌，最津津乐道的还是那些被人熟知的动人故事。 少年康熙曾得过一场怪病，全身红疹，奇痒无比，宫中御医束手无策。康熙心情抑郁，微服出宫散心，信步走进一家小药铺，药铺郎中只开了便宜的大黄，嘱咐泡水沐浴。康熙遵其嘱咐沐浴，迅速好转，不过三日便痊愈了。为了感谢郎中，康熙写下“同修仁德，济世养生”，并送给他一座大药堂...

Assign each letter in a word a score corresponding to its position in the alphabet, so a=1, b=2 and so on until z=26. The total score of a word is the average score of all its letters. Question: What is the highest scoring word? Words need to have a minimum of 4 letters ('zz' is not word as it wo...

I updated the BIOS on my XPS 9150 after being prompted by Software. After rebooting, the wallpaper is grey rather than the beautiful purple it was previously. (It still has the picture of the cat.) Not really a problem, but I'm curious why this happened. I've rebooted again with no change. I also...

I want to manufacture and sell an electronic device which I made using some TI components at home. Can I use TI's logo and other logos such as 'Burr-Brown audio' and their names on my product packaging?

Can anybody please tell me how to move the array object as a single object. I have a radial array that is rotated using an empty. When I try to move the object it moves the array objects independently around the origin. If I apply them modifier then it is fine, but then I limit future editing. An...

I want to grep an Id from log based on a error "MyOwnError" then use the same Id to get the whole line of wherever the Id present throughout the log. Eg: suppose theres a file File1: animal:Dogs hate the animal:catsF and no-one else animal:catsF hate the animal:fish animal:catsF also hate animal:...

What makes the inductive load like a motor heat up when used on a modified sine wave inverter. Is it because of the back emf caused by sudden drop of voltage by the square wave?

In a notebook I am studying, a few commands no longer work, namely: CartesianMap[] PolarMap[] I assume that these commands are in the obsolete package: Graphics`ComplexMap` , but I have not been able to find that. Are there any commands that can replace CartesianMap and PolarMap?

examples text1 = " climb - 95/ 85 0.18 low - 4680" text2 = "CD 3 TO F TO GD .80000E+02 .00000E+00 .00000E+00 .00000E+00 /"# How can I get with regex in Mathematica as results: split_text1 = {'95', '85', '0.18', '4680'} split_text2 = {'3', '80.0','0.0', '0.0', 0.0}

I have been looking at how to split my data for training/validation/test for a timeseries using LSTM and came across: QA1 and QA2 Given I should implement walk-forward splits my depiction of it is: Where each line is a Run followed by obtaining the best model. How should the best model be decid...

Evil cannot create anything new, they can only corrupt and ruin what good forces have invented or made. I see this quote a lot in the comments under the new Amazon The Rings of Power teaser trailer. When and in what context did Tolkien say this?

For macOS (High Sierra) Inkscape can be installed via MacPorts with two options: +Quartz or +X11. What is the difference? Which version is (more) recommended?

Introduction: Pete likes doing word search puzzles. Despite that, he has trouble searching for words vertically, (anti-)diagonally, or reversed. Because of that, he'll always search for the words left-to-right, and rotates the entire puzzle in increments of 45 degrees clockwise. In addition to th...

I am playing Yuumi in League of Legends and I have some questions about her ability, You and Me . Here is a description of the ability You and Me: Passive: While Attached, Yuumi and her ally share 12 / 14 / 16 / 18 / 20 (+12 / 14 / 16 / 18 / 20%) adaptive force, granting each other bonus attack ...

Let us assume a box which is kept inside a compartment of a train moving with constant velocity. And also that surface of compartment provides some friction(static) to box. Let us denote static friction by $f_s$. And let that constant velocity of train is $v$. Now due to some external force the ...

I have a single even-sized vector that I want to transform into a vector of pairs where each pair contains always two elements. I know that I can do this using simple loops but I was wondering if there is a nice standard-library tool for this? It can be assumed that the original vector always con...

This question comes from my attempt at solving the problem of the average area of a cube in an unconventional way. As the shadow of the cube is comprised of the shadows of 3 of its square faces, I am attempting to calculate the average area of each of those squares' shadows, multiply it by three,...

I'm really interested in Topological Quantum Field Theory (TQFT) and am currently planning to focus on it in my undergraduate thesis. My university, unfortunately, does not allow double majors in mathematics and physics or even a minor in physics, hence I fear that I do not have enough background...

Formal problem statement. For a real vector $\vec r$ in bases of $\sigma_i\otimes \sigma_j$ with $i,j=0,1,2,3$, $i$ and $j$ not equal to $0$ at the same time, $\sigma_0=I$ and other indexes stands for Pauli matrices. There are $15$ of them. How to prove that under the action of unitary operation(...

Sorry for the naive question. I read the instructions by EPO and WIPO on how to file a PCT patent. The EPO documentations vaguely states that if the local legislation mandates a legal representative then it is mandatory when the patent is filed via the EPO office. But I could not find anywhere wh...

Suppose that I wanna make a program to predict possible forms of carbon's Allotropy, my idea is to use a structure search program to generate a lot of structures and calculate the Gibbs free energy to determine the stability. My question is: Is there some program available for such kind of job? ...

Reviewing Raffzahn's answer about CGA emulators for Hercules displays, and especially his initial (now corrected) note about 720x350 being PAL's natural resolution, I was wondering if 200/400 lines displays of the era (IBM CGA, Atari ST) could theoretically have been made larger by an additional ...

I tried looking for an answer for several days, but didn't have any success, so I thought I would ask here. I apologize in advance if this was already answered, and that I was not able to find it in this stack exchange. I'm trying to use a SP3T switch to connect GND to 2 GPIO of a MCU, from which...

To use a variable gathered from json, I need it to be raw, without quotes: I have ok: [device] => { "fact": { "int": "7" }, } I want ok: [device] => { "fact": { "int": 7 }, } The thing is that the quotes are not part of the variable so I cant use | int or | repla...

For $n\geq1$, let $p_1,\ldots,p_n$ be distinct points in $S^2$. Let $f\colon S^3\to S^2$ be the Hopf fibration, let $B_n=S^2\setminus\{p_1,\ldots,p_n\}$ be the $n$-times punctured sphere, and let $E_n=f^{-1}(B_n)$ be the $n$-fold Hopf link complement. I'm interested in an algebraic way of calcula...

As an eladrin from Mtof, I have access to the fey step ability. I have already decided to take at least a couple levels of rogue. Assuming I can multi-class my character, is there any way to get the range of that teleport up? If not, is there a way to improve its "once per short rest" status?

A closer look at the states in the USA might tell you that: Indiana is in Alabama Alabama is in Georgia Georgia is in Minnesota So what state is in Indiana?

I want to set a Shortcut key to open a Chrome on my Windows 10 Pro laptop. But nothing happens when I press shortcut. Here's what I did: right-click Chrome icon select Properties set Shortcut Key to something not already assigned (ie. ctrl + shift + alt + C) OK nothing happens when I press ctrl...

I am trying to configure a build engine (Bazel) to use gcc-7. For that I needed links to all of the .deb packages needed. One of the dependencies of gcc-7 is libatomic1 (>= 7.5.0-6ubuntu2). I realise this is "greater than or equal" but if I wanted to use the original libraries distributed with gc...

I am using Ubuntu 20.04. During the last 4-5 times I've used upgrade APT always upgrades the following linux-headers-5.4.0-96 linux-headers-5.4.0-96-generic linux-image-5.4.0-96-generic linux-modules-5.4.0-96-generic linux-modules-extra-5.4.0-96-generic when I use autoremove, it says that ...

Last months went really bad. I had a serious problem with my family, this significantly decreased my workplace performance. My boss says, he is so sorry that I do not get too much bonus. However, I am actually happy that I am not get fired. What should I answer him? The honest answer would be this:

In a power MOSFETs datasheet I see Rds(on) specified at Vgs= +10V whereas +Vgs (absolute max) is +30V. Why do they (manufacturers) restrict to +10V while quoting Rds(on)? The manufacturer could have boasted a lower Rds(on) if they quoted at a higher Vgs. Is +10V kept as a standard for easier comp...

When testing a Zscaler POC (from a security perspective), I had a hard time understanding how CGNAT is routed on the client. My main concern (and question) is that the 100.64.x.y route is not in the routing table (Windows 10). The default gateway is on my local network gateway so that traffic can...

I know that this is more a discussion than a math question, but I'd like to know. Computer engineering student here. When studying, I like to go through all of the book's definitions and proofs, and then finish all the exercises. Just did my limits exam. I'd like to do the same thing for the epsi...

Suppose I owe (no interest) 300 and 600 dollars with due dates in 12 and 24 months, respectively. The trivial idea is to consider both debts independently and put aside monthly $\frac{300}{12}=25$ dollars for the first debt and $\frac{600}{24}=25$ for the second one. Therefore, I have to put asid...

Say you have $N=M\big/K$, where $M$ is an $R$-module and $K$ lies inside $M$. When I take $N\big/IN$, with $I$ being an ideal in $R$, is that equal to $$M\big/\big(IM + K)\ ?$$ How do you find that out ?

Is it possible to take a line mesh, plug it into a 'set-position' node and use a mathematical equation to shape the line into a spiral?

VASPs POSCAR/CONTCAR file does not contain any direct information about the cell symmetry. If I run for example a calculation on simple TiN in space group 225, this symmetry is (should be) preserved. In other cases this is not so clear, so I would like to have a tool to extract the space group fr...

recently i started studying computer science and computer graphics, and one question really haunts me. Mby someone can explain this. How bit patterns become translated into (for example ) text. I know we have encoding like ascii and unicode but this is also just bit patterns. Main mystery is at w...

I've just started learning about Inheritance vs Composition and it's kind of tricky for me to get my head around it for some reason. I have this Person: using System; using System.Collections.Generic; using System.Linq; using System.Text; using System.Threading.Tasks; namespace ConsoleApp2 { ...

I'm quite new to Blender I'm trying to make a very simple rigged item - a box with a "lid." I'd like the box lid to open and close. However, whenever I rig it all, the lid seems to get stuck to the other side. I've split and separated each lid into its own object.. so I'm not sure what's going on...