Let $(M,\mathfrak{X})$ be a smooth manifold, where $M$ is a topological manifold and $\mathfrak{X}$ a smooth structure on it. It is commonly mentioned (in introductory resources on smooth manifolds) that there may exist a (finite or infinite) number of other smooth structures $\mathfrak{X}'$ on $...

Sometimes I can access the server, but most of the time it returns the following error. ssh -vvv [email protected] -p 23490 OpenSSH_8.4p1 Ubuntu-6ubuntu2.1, OpenSSL 1.1.1q 5 Jul 2022 debug1: Reading configuration data /home/user/.ssh/config debug1: Reading configuration data /etc/ssh/ssh_co...

I was just reading the MM, and reading about dracolichs. It says: Only ancient or adult true dragon can become a dracolich. But what is a true dragon?

when I plot this VectorPlot with a RegionFunction VectorPlot[{1, Sqrt[1 - x^2 - y^2]}, {x, -1, 1}, {y, -1, 1}, RegionFunction ->Function[{x, y}, x^2 + y^2 <= 1], VectorMarkers -> "Segment"] we get Now I wanted to remove the blue boundary and the background but using the options BoundaryStyle ->...

How does this work? Why are there multiple reflections? And why are the "inner" ones smaller?

I applied for a six month single entry standard visitor visa, but the visa I got says Number of Entries: "MULT". Does this mean they gave me a multiple entry visa even though I applied for a single entry visa? Can I make multiple short term visits within the 6-month period over which my visa is v...

The author of my favorite webcomic asked about this on Twitter. I wasn't sure whether to post this on Aviation (but they redirect passenger-side aviation questions here) or on the French stack, but I decided to post it here since there might be people here with practical knowledge. https://twitte...

I have conducted my PhD in Austria on a very hyped field in the international community. During my work I have been able to start an international collaboration and publish some relevant papers. In particular, I really want to continue working with my main collaborator and they indeed said that t...

I'm trying to create a table contains coordinate information, however the output is messy because some coordinates have fractions and negative signs. Is there any way to format it to achieve better appearance? \documentclass{article} \begin{document} \centering \begin{tabular}{cccc} \hline Tes...

I need to create a function with two arguments f(s, l): s is a list of three integer like: s={1,-3,+5} and l is a list of lists of naturals of same length: l={{2,4,7,9,11,13,14},{8,11,15,19,21,23,24},{9,10,12,19,22,23,26},{12,14,17,19,24,28,30}} s is transformed into the pure function #1-#3+#5&...

I have this formula (simplified because it is long): =FILTER(RANGE1,(C3=TRUE), RANGE1<>"") In place of range can I refer to the cell , AC2, that would contain the range name? That is because I have 2 ranges, Range1 & Range 2. If user selects Range1 then execute for that range, or if user selects ...

Context: GNU Emacs 29.0.60 (build 1, x86_64-pc-linux-gnu, X toolkit, cairo version 1.16.0, Xaw3d scroll bars) of 2023-03-30, Development version 4508a024e818 on emacs-29 branch; build date 2023-03-30. Linux Mint 21 (Vanessa) Cinnamon: ~ $ emacs -Q . How to reproduce the in the image shown behavio...

I have a question about calculating profit for taxes after selling a stock, in the US. I have 20 shares of Microsoft stock that I bought a long time ago, probably in the late 80's. I have no idea what I paid for it originally. Over the years I've switched brokerage firms several times so I can't ...

Let N be an even integer, and $x[n]$ be a finite length signal over the interval $n\in [0,N-1]$; let $X[k]$ be the N-pt DFT of $x[n]$. Find the 2N-Pt DFT of $x_1[n]$ in terms of $x[n]$, where: $$x_1[n] = \begin{cases} x[\frac{n}{2}], & \text{if } n \text{ is even}\\ ...

I'm doing a school project and I'm trying to find accurate dimensions of the aforementioned aircraft. Is there any website or database that has this information?

It is virtually universally accepted that discrimination by a variety of characteristics, such as race, ethnicity, religion, gender, sexual orientation etc. is not acceptable. At the same time, discrimination by citizenship is virtually universally considered ok. Are there any justifications why ...

When my garage door has not been operated for 23-36 hours or more, it "sticks" in first second of being opened. It is much more pronounced in summer months, i.e. when temperature and humidity is worse, although today it is cooler and dryer...it's rarely an issue in the winter. The example in vi...

In 2011, Xavier Scheuer published a code snippet allowing consecutive rehearsal marks. The code worked until now. In Lilypond 2.24.1 it fails. Here is an example that worked before (sorry, a lot of code): \version "2.22.1" \language "italiano" #(set-global-staff-size 18) openBracket = \twea...

My understanding is that the Unitarian Universalist Association has no creed, but its name suggests otherwise. As a Unitarian church, are its members expected to deny the Trinity or Jesus' status as the Son of God? The second label, "Universalist," suggests a belief that everybody will eventually...

This is from a British film Anybod's nightmare see:46:33-46:35 Two people in a car are looking for a place by looking at a map while driving. They can't agree on which way to go, and one says to the driver: "We have been down this street already." This sentence reminded me of the idiomatic struct...

I am designing a PCB for LNA with SPF5189z. I found a reference schematic design in the spf5189z datasheet. What does they mean by those angle of 8.4 degree and 13.3 degree etc? I know how to design 50 ohm trace on PCB and what should be track thickness. But what is the degree given on the image...

When I filter-as-you-type the file list in Nautilus, the result list gets sorted "by relevance" by default. How is this defined? What makes a file more relevant than another file? Can I change this default sorting of the result list to alphabetical sorting, aka "A-Z"? (I should note that I have e...

Consider the following: On a construction site on a public road without any sort of barrier a very old dumper is sitting. It has absolutely no protection like requring an rfid chip from the key to be nearby to get started. The starter solenoid is freely accessible without any modification to the ...

Please forgive me for the informal and naïve nature of my question, as I am a beginner in algebraic geometry. In the famous book by Hartshorne, sheaf cohomology is defined as a certain derived functor. Is it possible to show that the sheaf cohomology of a sheaf is equal to some singular cohomolog...

Is every linear circuit equivalent to a single series RLC circuit? If not, can one determine from the transfer function of the linear circuit whether or not it is equivalent to a single series RLC circuit; that is to say, what form (zeroes and poles) must the transfer function of a single series ...

In many space exploration movies, we see that the control center, most notably the Mission Control Center has a team of engineers and scientists communicating with the astronauts regarding a variety of things like altitude, propulsion, etc. But we also see that the astronauts themselves have a lo...

When I ask Mathematica to compute the series of $f(x)=\frac{\cos(x)}{\sin(x)}$ around $0$, I get: $$\frac{1}{x}-\frac{x}{3}-\frac{x^3}{45}-\frac{2 x^5}{945}-\frac{x^7}{4725}-\frac{2 x^9}{93555}+\dots\tag{$\star$}$$ In the case of this series, we can't just compute the derivatives and take $a=0$ b...

We have a "charging station" that has four USB ports on front and four regular outlets, two on each side, that was plugged into a bathroom outlet. Now I am trying to remove it, but it seems to be stuck. There is enough for a gap at the back to see that it appears to be flexing both the back of ...

（今の流れは、そういう“振り”だと思うじゃん） Hope someone can explains Mc's thought correctly about his cousin here (My guess but not sure : "You know I'm about to punch you , so you're pretending to avoid that aren't you ?" ) Context: MC is talking with his little cousin and her friend/classmate. Kotori is Mc's cou...

In a seminal article in virology ('Sur l’unité lytique du bactériophage' Comptes rendus des séances de la Societé de biologie et de ses filiales, 1939, 130, pp. 904-907) the Nobel prize winner Salvador Luria applied the Poisson distribution to demonstrate that one bacteriophage particle was suffi...

Context: I'm working on a space game. I noticed that an unpowered object fired from a strafing spaceship appeared, as the released object moved, to curve in the direction the ship was strafing. This looked wrong, and seems wrong compared against simulated physical reality. The original code used ...

And he spoke and disputed against the Hellenists [Ἑλληνιστάς]. But they were seeking to kill him. (Acts 9:29, ESV) This is in Jerusalem, and it is obviously that this verse points out Hellenistic (Greek speaking) Jews as opposed to Hebrew/Aramaic speaking Jews. Why is Paul's conflict with the ...

Let $\mu$ and $\nu$ be two finite measures on $\mathbb{R} ^d$. For every $s \in \mathbb{R} ^d$, $|s|=1$, denote by $\mu _s$ and $\nu _s$ the orthogonal projections of $\mu$ and $\nu$ respectively on the line $\{ as: a \in \mathbb{R} \}$. That is, for $a < b$ $$ \mu _s ( [a,b]) = \mu (\{x\in \mat...

Acts 9 tells us Paul went to Damascus to persecute the followers of the Way. But in previous Chapter (Acts 8) We read that they had fled to Samaria and Judea following Stephen's death. Now those two places are nowhere near Damascus. So how did the believers end up there before Saul had an encount...

I'm reviewing for an exam currently and tried to find the convergence & sum of the series: $$ \sum_{0}^{\infty} \frac{2^{n}}{n!} $$ I know from using the ratio test that the series does converge, but I'm at a loss as to how to find the sum. It's not geometric or telescoping, so I cannot use those...

This is a novel I read - possibly only partially - sometime in the late 90s, and during one attempt to move my library or another it slipped out of existence. Most of what I can remember is on a ship that gets underway from one city to another. One character is some kind of mage who insists he d...

As the title states, what would happen if two asteroids in the asteroid belt were to collide? Specifically, two the size of 45 Eugina impacting with each other. In my story, I am thinking about having them crash into each other because humans attempted to move one but screwed up the calculations ...

There's currently tons of disputes in the media over the extent to which TikTok is supposed to be "spying" on US users and (afaik) the planned ban, if executed, will be done on the grounds of "national security". But why bring in privacy at all and not focus on this being purely a tit-for-tat res...

The female lead is transported into a noble's body and becomes friends with a boy (bastard prince). She dies for him after he executed his father for the crown and then wakes up again as a young girl because prince turns back time with his powers. Random things I remember: The dad dies in a carri...

Given $i$ the annual interest rate expressed as a decimal, $P$ the principle value and $F$ the future value. If I want to compound my interest $n$ times per year for $t$ years what is the difference between the following two methods ? $$F=P(1+\frac{i}{n})^{nt}$$ $$F=P(1+r)^{nt}\ ,\ \textrm{where}...

I have updated my Ubuntu 22.04 LTS and I am getting some errors while updating and also coudn't able to install some softwares. akhil@KHUSHI:~/.config$ sudo apt-get upgrade Reading package lists... Done Building dependency tree... Done Reading state information... Done You might want to run 'apt ...

Postgresql version: 15 Backup was made from version 12. (I don't know if --schema-only is part of the problem.) I have a single backup tar file of a database that I'm trying to restore, but I keep running into what feels like weird conflicts. If I pre-create the database weatherdata and try to us...

I saw Merry Christmas Mr. Lawrence (1983) (IMDB) in the theatre circa 1983 and did not at the time appreciate any of the context related to Yukio Mishima until I just watched the Cinema Nippon YouTube video The Truth Behind MERRY CHRISTMAS, MR. LAWRENCE (Expanded & Revised) | Cinema Nippon In th...

There are cases where I wish to sort data that has been wrapped across multiple lines, making a simple line-sort not work usefully e.g. '("x" "b" "c" "a lot of text") '("a" "y" "z" "a lot of text") This sorts into: '("a" "y" "z" "a lot of text") '("x" "b" "c" "a lot of text") However I would ...

Does any kind of :call yank(register_name, "string") API exist in vim? Or at least :yank register_name "strings" - I can't find any way to yank in vimscript without modifying a VIM buffer.

I want to center a table in the middle of a page and to increase it's size in x and y until the with values that I consider. Also i would like to center the ocntent of a row in Y. Here is my code: \documentclass[12pt, openany, oneside,a4paper]{article} \usepackage{graphicx} % Required for insert...

How can I make a mapping that includes a for-loop? xnoremap <leader>y :for i in [1, 2, 3, 4] | echo i | endfor errors E121: Undefined variable: i and xnoremap <leader>y :for line in getlines(1, 2) | echo line | endfor errors E588: :endfor without :for

I was killing time on YouTube the other day, and came across a video of a shipping company moving a very long girder to a construction site. There were several points in the move that they had to block all traffic through an intersection (with one of the chase cars) for a few minutes in order for...

Despite its unpleasant surface conditions, Venus is undoubtedly one of the most beautiful worlds in the solar system when viewed from space. It’s huge clouds of sulphuric acid make the planet extremely reflective, so that it can even be seen from Earth as the Morning Star. But what if these cloud...

Pre-Crisis, probably mid-1970s, Curt Swan art. In this story, Luthor invents a machine (looks like a crowbar with some tech-looking appendages) than can absorb hate. He uses it himself, wrecking a Superman statue with it. After the procedure, Luthor throws the machine at Superman, and it releases...

A general question about continuity is that why it can not be defined as "Mapping open sets to open sets". The discussion can be seen in Why aren’t continuous functions defined the other way around? or Continuity vs. Mapping open sets to open sets? A typical counterexample is to show that: a con...

According to an article by Kyle E. Mitchell, the biggest difference between the Blue Oak Model License and the BSD-2-Clause Plus Patent License is that the former "gives even broader patent assurance". Here's the relevant section on patents in the Blue Oak Model License: Subject to the terms and...

We download many UTF-8 encoded .txt files. Later in the North Woods far from the Internet, we find they are unreadable. Yes, we could simply open them in a different app, but we wish to keep using Chrome. No, the files don't contain Byte Order Markers. Yes, there is no problem on Android 8, but...

I have listened to Édith Piaf's Johny tu n'es pas un ange and she says Toi, te souviens-tu de moi. What is -tu? BTW, I do know what tu is, but not -tu, and have not found it on Google, perhpaps it does not count the dash (-).

I'm learning about charging 3.7 V Li-ion batteries. I'm not sure what the charging current should be for a single battery, let alone for batteries connected in parallel. My question is related to batteries in general and not to a specific battery.

Let $R = \Lambda \mathbb{C}^n$ be the exterior algebra on $\mathbb{C}^n$ for some positive integer $n$. It is an associative (graded-commutative) algebra of $\mathbb{C}$-dimension $2^n$. Suppose we have an injective ring homomorphism $R\rightarrow M_N(\mathbb{C})$ into the ring $M_N(\mathbb{C})$ ...

Here is a channel-switching relay from a guitar amplifier. It is supplied with 6.3 V AC. Closing the switch (near center) operates the relay. It's on a schematic that's taped to my wall, and I started wondering about it. How is the relay being signaled, what is it "listening for", and how does t...

"Make your upper back tight" , "make your glutes tight" and so on are often intrusctions given on how to do various exercises in the gym... but why actually do we do this?

I've tried to fix the leaks my garage door has, but just can't seem to solve the issue. I tried replacing the bottom seal, as well as the side seal, both to no avail. I added some pictures of the bottom seal (where you can see water coming in) as well as some shots of the side of the door from th...

I’m a teenager from Chicago. One slang term which is used by young people in my community rather often is “opp.” It is clearly derived from the stem “oppose,” and is basically short for opposition or opponent. Generally, this term, which is often pluralized as “opps,” refers to people with whom o...

These images are entirely composed of mesh and were created using Illustrator. I'm curious about how to produce a similarly well-aligned mesh. Could you provide guidance on this process? Thank you.

In this device, I'm using this 26MHz crystal. The datasheet only specifies the minimum crystal drive level as 500 μW. The above shown crystal has a maximum drive level of 300 μW. I understand that the crystal drive level is the maximum power dissipated in the crystal. So, the datasheet of the U...

The exhaust velocity of a rocket is given by: $v_e = \sqrt{\frac{2*k}{k-1}*R*T_c*(1-(P_e/P_c))^{\frac{k-1}{k}}}$ The velocity tends to a finite asymptote as $P_c$ increases. Therefore, the specific kinetic energy of the exhaust jet, $\frac{1}{2}v_e^2$ (kinetic energy per unit mass of exhaust jet)...

Consider I have a line_layer and point_layer. I want to create a one meter line at every point in the direction of the line flow. Output should be: So far I tried: point_layer = QgsProject.instance().mapLayersByName('Points')[0] line_layer = QgsProject.instance().mapLayersByName('lines')[0] v_...

I am a software engineer and I am preparing a presentation to aspiring bioinformatics PhDs on how to use best-practice software engineering when publishing code (such as include documentation, modular design, include tests, ...). In particular my presentation will be focused on publishing "pipeline"

"Notwithstanding thou mayest kill and eat flesh in all thy gates" We know that this got rid of the restriction of slaughtering animals only in front of the temple, but what about the "thy gates" part? Doesn't that mean that the restriction was only lifted for gated towns, what about people living...

A swimming pool might have a big room which has 4 or 6 small rooms for you to take a shower (like the above picture). It also has some sinks or place to pee (see the above picture) and separate toilets. Do we call that big room "a restroom" or "a bathroom", for example, "there's a bathroom in th...

I am trying to display labels for polygons in a dataset. Each polygon has about 5 different fields that I want to display. Depending on the polygon, there may be NULL values in the field(s) that I am trying to display in the label. I understand that Concatenate is designed to handle NULL values. ...

Let's suppose I hash a 384-bits message with a cryptographic hash function and generate a hash digest of 128-bits. I know that due to the pigeonhole principle, many inputs of same size will result in the same 128-bits hash digest. How is the estimated number of 384-bits messages that will produce...

According to here, the PCI Express TLP (Transaction Layer Packet) can target 4 different address spaces. My question is about the IO and memory address spaces. As we know, the PCI specification was first developed by Intel. And Intel's x86 processor has 2 major address spaces: IO and memory. I t...

My goal is to calculate the distance from a point and the nearest point, so I thought of using geopandas function sjoin_nearest. Using this function I get all the distances to zero, which is quite normal because I had to ignore the point itself. Any idea to resolve this problem ? df = pd.DataFram...

I have to calculate multiple dot products between a vector and consecutive part of another (longer) vector, shifted at certain number of elements. Naive implementation takes about 0.1 seconds. l = 100001; l2 = 5001; rvec = RandomReal[{-1, 1}, l]; m = RandomReal[{-1, 1}, 2 l - 1]; ans1 = ParallelT...

Say my client (current device) wants to connect to a url, say foo.bar.com/spam/eggs/123, how do I serve or redirect to another specefied url, say 127.0.0.1:8080 and prevent the client from reaching foo.bar.com/spam/eggs/123? What software can I use?

The OPA2810 datasheet mentions: An additional advantage of configuring an amplifier for single-supply operation is that the effects of PSRR are minimized because the low-supply rail is grounded. This description is unclear. I guess this is because a split supply (+/-Vs) introduces not only +Vs ...

I am wondering if any wave packet of the form $$\psi=\int g(\boldsymbol{k}) e^{i(\boldsymbol{k}\boldsymbol{r}-\omega t)}$$ is always a solution to the classical wave equation? In my understanding, this would raise some condition to the amplitude distribution $g(\boldsymbol{k})$. Inserting this in...

First, for any natural integers $x$ and $y$, we define $x\mid y$ by : $\exists k\in\mathbb{Z},y=kx$ We can then define the negation of the divisibility $x\nmid y$ by : $\neg(\exists k\in\mathbb{Z},y=kx)$ Which is equivalent to : $\forall k\in\mathbb{Z},y\neq kx$ Let $(a,b)\in\mathbb{N}^*$. We wa...

I have 300K .h5 files. I want to list them and plot the data with respect to a parameter. They must be sorted by name otherwise, the plot will be wrong because of time dependency. The name of the files is like "Fields_0.h5, Fields_10.h5, ..., Fileds_299990.h5". However, When I use FileNames[], t...

During the 2023 WTA Miami Open Final, during a rally, Petra Kvitova reached over the net and hit the ball without it crossing the net to her side. She did not touch the net. The point was allowed; Kvitova won the point. There was no complaint. Why was this permitted?

I had a dream where I was faced with a difficult challenge to break halacha or not, and I was able to overcome the temptation and follow halacha. My question is, does a person receive reward for overcoming tests while in a dream? I'm asking more specifically about nisyonos and not mitzvos, as I'm...

I am using Foundry, and I need to calculate the 4-byte selector of a custom error. How can I do this with the cast CLI?

I would like to define a single command like "\[...\]" for equation and align environment. I could always use align, but it seems that vertical spaces are different and a bit too big for a single equation. My question is then to define a default environment equation, that moves to align when & is...

I should mention I have very little background in algebraic topology and don't really know much about homotopy groups besides the definition. I am aware that for a topological space $X$ and a point $x \in X$ the fundamental group $\pi_1(X,x)$ acts on all homotopy groups $\pi_n(X,x)$. In particula...

My program opens a QGIS project, loads one layer, adds a point on this layer and then stops. My problem is - I don't save the project explicitly, but the added points are always saved (I have to remove them manually). The question seems to be duplicate of How close project QGIS (* .qgs) without s...

I have a geojson layer in QGIS with a list of buildings spread over a region that will be displayed on the legend, as on the image attached, by a yellow rounded dot. I am wondering if I can add an extra background icon for those that share a common feature; in this case, the century they were bui...

I am a PhD student in mathematics. Recently I received a revision of my article from a journal. The referee pointed several good suggestions. The chief editor also provided some suggestions. When I resubmit the paper, it is natural i will thank to the referee. But: should I thank you to the edit...

I have the following: \newenvironment{examplebox}[1]{ \begin{flalign*} } { \end{flalign*} } \begin{examplebox}{Test} & \lim_{x \to 2} f(x) \end{examplebox} This results in the following two errors: LaTeX Error: \begin{examplebox} on input line 47 ended by \end{document}. LaTeX Error...

I've replanted/stolen/adopted about 3 kinds of weeds(mostly lawn-type grasses but wait for the pictures) from in front of my building. The soil down there is hardly more than building's rabble with some sand blown over by the wind. What I replant into is freshly purchased fertilized soil. The tem...

Which one is correct? Correct me if I'm wrong, but I don't think the context matters. I've heard that "if the sentence cant stand on its own, the semi-colon isn't needed", but I frankly can't tell if this adage applies here. I want to emphasize that this doesn't exist, it's just one that I thoug...

It is not the same as: What does this statement does? ( Not sure how to call it ) because the _amount is already used. Maybe it solved a different issue? function withdraw(uint _amount) public { ... (bool result,) = msg.sender.call{value:_amount}(""); if(result) { _amount;

The original plan was for Finland and Sweden to join NATO at the same time. It has since become clear, however–due to opposition from Turkey and Hungary–that Sweden and Finland will not be joining at the same time. There are separate Accession Protocols for Finland and Sweden, each of which has t...

Disclaimer: I am not a statistician, but a computer scientist working a lot with probability distributions. I am asking this question to help me understand how statistical frameworks and terminology can be applied formally to the reasoning below. Consider the following example, e.g. borrowed from...

I have a Laravel application that needs to store minimum and maximum weight. Currently, we are using integer values to store data but I need to modify it to store data values with a floating point. What data type do I have to use for good accuracy?

In the first chapter of Walden, Thoreau writes: I cannot but perceive that this so-called rich and refined life is a thing jumped at, and I do not get on in the enjoyment of the fine arts which adorn it, my attention being wholly occupied with the jump; for I remember that the greatest genuine l...

This is a little bit gruesome. Imagine a tribe of aborigenal humans in pluvial biomes, extremely efficient hunters. In a traditional rite of passage, the chieftain gets their throat slowly cut by the next-in-line successor (the strongest warrior) with a knife made out of a canine of a great ape. ...

I'm listening to The Canterbury Tales, and I noticed a phrase that made no sense to me: And certainly he has no need to dye His cheeks with any stain from Portugal It's a translation, so I looked up the original Him nedeth nat his colour for to dyen - He needs not paint his complexion With bra...

I wanted to use CanonicalizeHostname in my ssh config which would make it possible to add and remove hosts without having to edit the file. Host bastion ProxyJump none Match canonical ProxyJump bastion ForwardAgent yes Host * ForwardAgent no CanonicalizeHostname always C...

I want to use the siunitxand the physicspackage, using the \qty definition of siunitx. Following the issued warning Package siunitx Warning: Detected the "physics" package: omitting definition of \qty. If you want to use \qty with the siunitx definition, add \AtBeginDocument{\RenewCommandCopy\qty...

Many replacement door handle knobs come with a screw built-in. Some have it glued, but I don't think this is the case for the one in the photo. I want to remove that screw, to reuse another one I already have in the wardrobe. Otherwise, I'd need to shorten the screw for 16 different knobs... Is t...

I need to get the weighted centroid from a grid layer (according to an attribute of the polygons on this layer). For that, I am using the "mean coordinates" tool, but I realized that the yielded points are displaced from the place they should be located. This is clear when I apply a mean coordina...

As the title says, I am looking to see if there is a good approximation for the convexity of a Fixed Income instrument. Say I know all the parameters of the instrument, can the Convexity be written as a function of these?

Here is how I tried solving it: First we need to make sure that we do not roll any 1s in the 12 rolls: $(5/6)^{12} ≈ 0.1121$ We also need to make sure that at least one of the rolls results in a 2 or higher. The probability of rolling a 2 or higher on a single roll is $5/6$. The probability of r...

I am working on a project where I am evaluating different machine learning models to be used as scoring functions during in-silico docking. It is a regression problem where the 3D structure data of a protein bound to a ligand is used to predict the binding affinity of the complex. I have a traini...

Yesterday I was walking in the room above the one in the picture, and I heard a booming type noise. I eventually realized the tops of these cupboards are starting to come away from the wall. (I apologize in advance - I know it is difficult to see what is going on from these photos). Current image...

There are 3 boxes: A,B and C, each with 3 rows. Each row is a word. The blanks in each box are the same single word. After filling the blanks you will get 3 separate words (one from each box). Put them in the 7 letter box below to get the final answer. The words may not be in order. Linked:What ...

Can someone give me a roadmap for learning Inverse Galois theory? I am a PhD student in the representation theory of finite groups. I studied Galois theory when I was an undergraduate student. The Inverse Galois Problem is one of my favourite problems in mathematics. I want to read the book Inver...

I'm reading 'Teach Yourself Quantum Mechanics' by Alexandre Zagoskin. In chapter 2 he introduces Hilbert spaces by starting with the fact that a function may be defined by its Fourier coefficients. There is at this point a diagram implying that a point in Hilbert space may be defined using the co...

Our control signal that ranges from -5 to 5 V needs to be split up such that the magnitude and sign can be send through different wires. So, for example, a -3 V input sends a 3 V signal through one wire, and a low signal through another, while a 3 V input sends a 3 V signal through one wire, and ...

The Ioun Stone of Mastery is a legendary item and so far as I know the only feature outside normal level progression that offers an increase in proficiency. I would like to use one in my game but I am wondering about the power level. It looks to my like a combination of items that are otherwise m...

I have a file with 4 columns. When I put these 4 columns into an array using NR as the index, the entries are duplicated somehow. See below for an elaboration of the issue. The first 5 lines of the file look like this -bash-4.2$ cat -ve file | head -n 5 chr start end p$ 13 59341171 59343427 1.866...

You created vanity p2pkh-addresses in the past, you have access to the private keys (WIF) and addresses (1...). Now you want to spend the funds securely and in an offline way (you do not want to enter your private key into an ONLINE computer). I imagine something like: You enter the p2pkh addre...

Weve just started playing this as a group and have a question on victory point cards. One person was on 8 points but had two cards that state: 1 Victory Point. Reveal this card on your turn if, with it, you reach the number of points required for victory Can the two cards be played together? I ...

For information specific to the Curse of Strahd campaign please use spoiler tags because I am a player and not the GM Two notes first: We are playing the Curse of Strahd, but I don't know what percentage of it is by the book and what is homebrew / improvised. I'm not a DM, and I would strongly p...

When my mother passed she left an IRA account that got split up among the kids. I just read an article with the sentence: "If you leave retirement money to your kids or anyone other than your spouse, they’re typically required to empty the accounts by the end of the 10th year following the year ...

Complete the list by placing the correct flag in the empty rectangle below. Explain.

Joining NATO is governed by Article 10 of the North Atlantic Treaty, which states: The Parties may, by unanimous agreement, invite any other European State in a position to further the principles of this Treaty and to contribute to the security of the North Atlantic area to accede to this Treaty...

Options implied volatility (IV) and skew can be calculated using the current option prices. I ask to what extent those observed variables are expected to deviate from the "expected" or predicted values for those parameters. Specifically, it is reasonable to assume that the current IV is a functio...

Question: Draw a monopoly graph, with upward sloping marginal cost and on the graph label the area that would be consumer surplus if price were equal to marginal cost, but is producer surplus under monopoly. Answer: Confusion: I have trouble understanding why CS is the rectangle. I visualize the...

I was recently trying to verify certain things in the setting of Locally compact 2nd countable Hausdorff spaces. I thought that this is a natural collection of spaces more general than metric spaces, but I think that following the metrization theorems that such spaces must be metrizable with a co...

I'm still pretty new at Python and working on a small database program, where at the start of the program new files are imported from another folder (approx. 2000), and older files are backed up. Subfolders of the import folder sometimes contain multiple files with the same name (I always want ju...

The reasoning I've been given is that high extracellular $[K^+]$ increases the $E_v$ of potassium; therefore, membrane potential increases and the threshold for action potentials is more easily reached. Conversely, high extracellular $[Ca^{2+}]$ increases the accumulated positive charge outside t...

Watching old "newsreel"-like films from the 1950s and 1960s, and seeing this in old comics and from other Swedish sources, I have formed the perception that many/most/all kitchens in Sweden, prior to some sort of "boom" of modern kitchens in the 1950s and 1960s, had the working spaces lower than ...

If you were to design a self-powered USB hub, is there any sort of advantage to a 12V design instead of 5V? The logic being that if the source voltage were to drop a few volts (maybe 2-3V), a 12V regulator could still supply 5V, making the system less susceptible to failure if power were to fluct...

In larger cities in Dungeons & Dragons, just like in real life, murder is probably commonplace enough that the city guard would have specialists for investigating corpses that turn up similar to how we have homicide detectives. However, they would likely have a huge advantage over modern detectiv...

Blinking is a common practice since the early time of computing, especially for cursors. However, when I run strace to check their system calls, both a terminal emulator konsole and a shell bash, don't register any kind of timer (through timer_settime()), or interval timer (through setitimer()). ...

I need a grid made up of this hat in tikz. Here is the piece with three hats. Could you help? Can we use a tikzlibrary for tiling of this? \documentclass[border=3pt]{standalone} \usepackage{tikz} \begin{document} \begin{tikzpicture}[rotate=-0] \def\ra{1} \coordinate(O) at(0,0); \...

The New York Times writes: Donald J. Trump is preparing to walk into a Manhattan courtroom as both a defendant and a candidate, making final plans for his arrest on Tuesday [...]. Why would he be arrested? Is there a danger of flight? That seems implausible, given that he has arranged his appea...

Are there any examples in the Bible of people being thankful that Jesus died, or promoting the practice of thanking God/Jesus for Jesus' death? I'm asking specifically about his death, not life or resurrection.

I have an ESP32 with a DAC pin that outputs a variable voltage between 0 and 3.3 V. I need to convert this signal to another voltage range: between -15 and +15 volts. This signal need to drive around 1 A (the more the better). What is the best way to achieve this in the simplest possible way? Not...

Analyzing a bunch of different photos of airliners sitting at Gates, I've noticed that some have flight controls that droop (due to no hydraulic power) and sometimes they stay leveled. Why is this? In the first image of the Japan airlines Boeing 787, the rudder and elevators clearly have no hyd...

I want to introduce a unique operator in my document. I basically want it to look like this: ⌜A⌝, where A is just an arbitrary statement. So '⌜⌝' is the operator. How can I produce the ⌜ and ⌝ symbols here? The closest I've gotten so far are the \lceil and \rceil commands, but they're not really ...

Consider the following scenario: Person A is employed by a large company and has the usual "everything you do while employed by us is owned by us" in their employment contract. Person B is self-employed and creates intellectual property (here let's assume software) in the natural course of their ...

My new employer offers the Mega Backdoor Roth option. After-tax contributions can be automatically & immediately converted to Roth within the 401(k), and can be rolled over to a Roth IRA at any time. I just did the Roth 401(k) to Roth IRA rollover for the first time. The 401(k) provider (Fidelity...

Is the なきゃ like referring to there not being something presently or something? Or is it more like [the hypothetical idea of not doing something][was good]...though even if it was that I don't think I understand.

I have a system of three non-linear differential equations of which one has a delay. Is it possible to convert such a system into (second-order) ODEs?

I would like to make this Version Control or GIT style branching with geometry nodes, so that the branch starting points and ending points were in random places of the line (but still not right next to each other or overlapping): I guess the first logical step is to make some 'Mesh line' compone...

I need to find the value of n but I get an error. I used this: Solve[ 4*ArcSin[Sqrt[(4 - (n^2))/(3*(n^2))]] - 2*ArcSin[Sqrt[(4 - (n^2))/3]] == 20.2826, n ] But I get this error: Solve::inex: Solve was unable to solve the system with inexact coefficients or the system obtained by direct rat...

I have converted the inside of my home into a Macaw aviary with no cages, simply tall 4x4 posts mounted to moveable furniture dollies, then connected with 6' to 8' Elm and Aspen tree branches. I cover the dollies and floor with sheets, and in the evening shake the sheets into a large trash contai...

I can't figure out what the units are for the capacitors for this voltage regulator. I can't find anything in the datasheet that gives me a hint.

There are lots of questions posted about surprise and initative, but one scenario still seems ambiguous to me. If this has been answered, please link, as I couldn't find it. Scenario: A player is stealthy in such a way as to make it virtually impossible to be noticed (invisible, rolls a nat 20 o...

Was re-watching every episode of the first season and suddenly he had a bunch of Tauros. I was like "when did this happen?"