Consider the Nemuann series of the $D=\frac{d}{dx}$ operator: $T = 1 + D+ D^2+...$ Applying T on $x$ yields $x+1$ (i.e., $Tx=x+1$) for $x \in R$. One can also look at it as a Taylor series. I would appreciate if someone helps me to resolve the following confusion. Since the sum above converges, w...

In the famous latin expression "nōn uidēmus manticae quod in tergō est". We see the word manticae. I always considered that this word must be the direct object of the sentence, however, if it was the case, one should expect the form manticās. Why does it happen? Why is it manticae?

Hello. I am learning in Mathematica how to obtain the unitary operator that allows us to diagonalize the matrix M. Although with U^{-1}.M.U am able to obtain the answer: why doesn't the program deliver it diagonally? (I had to verify that such a matrix is diagonal) Thank you.

On the word "destiNAtion" there is what looks to be 7-6 suspension except the suspension is not prepared on the strong beat as I believe it must be for it to be a suspension. So what is this then? Can a suspension be prepared in such a way?

In view of Haag's Theorem, it seems the Hilbert spaces of a free theory and an interacting theory are not the same. Though it seems very believable, I could not find a result that states that this is the case for all theories. Intuitively, it seems obvious that the Hilbert space of an interacting...

I'm an Indian national planning to travel to Hong Kong in coming May. I'm eligible for pre-arrival registration (PAR) before travelling an so need not apply for a visa. After staying there for a week, I'll be travelling to Seoul. However, the flight is from Macau and not HK. I'm wondering if its ...

In Stein's Fourier Analysis Ch.7 he defines characters as follows. Let $G$ be a finite Abelian Group with operation $*$, and $S^1$ be the unit circle in $\mathbb{C}$. $e: G \to S^1$ is a character on $G$ if $\forall x,y \in G$, $e(x * y) = e(x)e(y)$. In exercise 5 on page 237, Stein asks us to s...

According to Buddha's Theory, "There is suffering in this world; suffering has a cause; and the cause is desire." So, the desire to stay alive, forces us to work which causes suffering in the form of depression. Does this mean that life is the root cause of all suffering and it is impractical to ...

I was wondering what would be the fastest/most efficient way to compute the elements of the set $$\left\{ x\in\mathbb{Z}^{d} \middle| \sum^{d}_{i=1}|x_i| \leq n \right\}$$. I think I could use Reduce, e.g., Reduce[Table[Symbol["x" <> ToString@i], {i, d}] \[Element] Integers && Total[Abs[Table...

My home is north Dallas/TX/USA area in zone 8A. My patio garden gets very little direct sun due to several mature trees, including neighbor's to either side. I need to re-plant a good portion of the landscape there with some bushes/shrubs and am worried about getting them established in such a ...

The radiators look like a highly stretched paper accordion. Is it just because of how they decomposed, or is there a deeper reason?

Lets say a door is entirely supported by two hinges, one at the bottom corner and one at the top corner. I know that the two vertical forces of the hinges are produced by newton third law, however where does the horizantal forces came from,why are they produced?? I see that since the body is at ...

I had someone tell me this, "I do know the symlinks are not used on linux when loading a library." However, this does not seem correct to me. Too often I have had to fix broken symlinks when I have been messing around in Linux. I can find information on symlinks, how they work, and how they are c...

someone donated a mac pro 1.1 (so from 2006) and it came without hard drives and I inserted a hard drive and the question mark appears when I turn it on. How can I install an operating system on it? Windows + ALT + R does not work to enter recovery... what can I do?

I am trying to identify the man in the photo below, and I am hoping that his uniform in this picture gives some clues. I am told he was in the RAF, though I know nothing of his role. The pin badge/brooch and overall style of the uniform look potentially identifiable. I believe the most likely dat...

There is a question I found it is a formula, a Riemann sum, where the sum is in expanded form. And the function(s) are rational functions. If $n$ is a positive integer, then $$\lim_{n\to\infty} \frac1n \left(\frac1{1+\frac1n} + \frac1{1+\frac2n} + \cdots + \frac1{1+\frac nn}\right)$$ can be expr...

As far as I know, BJTs are better than MOSFETs at high frequencies (for example "hard" PWM) because MOSFETs have larger parasitic capacitances (Ciss/Cgs), is this correct? And if that's the case, why do people use MOSFETs for PWM and not BJTs?

When Shimano rolled over from the "x000" series mtb brakes (e.g. 6000, 7000, 8000) to the x100 series, one thing that changed is where the hose connects to the caliper. Before, it was on the out (left) side. Now it is on the "in" (right) side. What does this do and which routing should I prefer? ...

Using answer given in Procedure name with small caps in algorithm2e shows how to make procedure name all small caps in algorithm2e. But I want to add _ between the names, as it is long name. Adding \_ in the name gives error. What other options are there? Here is MWE that works, and below that I ...

I was wondering how I can align the three equations with respect to both equal signs of each line: \documentclass{article} \usepackage{amsmath,siunitx} \begin{document} \begin{align*} e_x&=|x_{true}-x_{est}|&=3.2 \text{ mm,} \\ e_y&=|y_{true}-y_{est}|&=4.3 \text{ mm,} \\ ...

Messiah/Christ means "Annointed One/Chosen One". In Dan, 9:23, NASB, The angel Gabriel tells Daniel that he needs to ... give heed to the message and gain understanding of the vision. And then, goes on to relate to him the "70 Weeks" prophecy. In Dan, 9:25 we see the words ... until Messiah the ...

I have a set of variables $x_i \in \mathbb{R}$ that are subject to upper bounds $X_i$ such that $x_i \leq X_i $ for each $ i \in \{1, 2, ..., n\}$. I want to write this in set-builder notation. I tried $\{x_i\ |\ x_i \leq X_i, i \in \{1, 2, ..., n\}\}$ but it does not seem right to include the $...

How to copy arbitrary part of binary file with reasonable speed? Apparently, dd with bs=1 is very slow, while setting bs to other value makes impossible to copy arbitrary parts. Is it wrong? Is it possible to do with dd? If not, then what is the tool? For example, this command dd if="$img" of=tai...

I'm trying to play a .wav file on my server (which is an old laptop with Ubuntu server installed) through a website using a shell script. Now the problem is that when I play the .wav file through mplay on root, everything works just fine, but if I try to play the sound through the user www-data I...

In general, how much can a person do to stop a warrantless search beyond verbally refusing consent? Is there anything further that can be done to prevent the search in the first place or make legal action after the fact more likely to prevail? Most of the results I get to searches relate to what...

In his article "How Music Articulates Liturgical Structure, Meaning, and Perception: The Kaddish" published in the recent volume of the Journal of Synagogue Music (vol. 47 no. 1), Dr. Boaz Tarsi writes the following about [Eastern] Ashkenazi prayer modes for the Chatzi Kaddish: A significant num...

I need to draw an integration path on top of a circle (with tikz because I assume it's the best tool for the job) but I have no experience with it and I literally don't know how to start, so if anybody could help me at least with a skeleton, I'd be very grateful. Here it is

I would like to try and build a basic microwave plasma torch using an oven magnetron. I've had experience with S-Band RF back in my physical chemistry days but am not liking the prices for waveguides. Is it possible/practical to couple a microwave magnetron to a 50 Ω coax to terminate in a basic ...

Let $S$ be a finite set of vectors in $\mathbb{R}^d$. Suppose there exists a vector $w$ such that $a^Tw > 0$ for all $a ∈ S$. Then does there exist a vector $\widehat{w}$ such that $a^T\widehat{w} > 0$ for all $a ∈ S$ and $\widehat{w}$ is a convex combination of $S$? Intuitively, it seems to me l...

We have 3.5 acre land on our primary residence in Travis county area in central Texas. My neighbor has expressed interest in buying an acre from us that is backing out to them. We think this is a fair ask as we are not using that part of land and we have good relationship with the neighbor. Can t...

I think this pretty funny scifi joke (I don't think I laugh at jokes in science fiction much) came from TekWars and a robot delivered it. Note: I meant any one of book, film or tv show and now we know.

Specific Magic items have the limitation You can't etch or transfer any property runes onto a specific weapon that it doesn't already have, and you can't remove its property runes. You can't etch or transfer any property runes onto a specific armor that it doesn't already have or remove its prop...

Suppose someone is a dual citizen, with two passports: NZ and somewhere else. Must this person enter NZ on their NZ passport? (This is the case for US passport holders - when entering to the US - to my understanding)

I have been comfortable using the conversion $cosh(z)=cos(iz)$ I have come across situations where I need to convert equations such as $cosh(z^2)$ or $cosh(2z)$ to $cos(f(z))$ and I am not sure how to proceed. Can this conversion be generalized to $cosh(f(z))=cos(if(z))$ or $cosh(f(z))=cos(f(iz))...

A friend of a friend recently had this situation come up. They were driving uninsured as a result of one of their housemates having tossed the bills as they came in. They learned they were uninsured after another car struck them and, on contacting the insurance company, being told that they had m...

There was this cartoon/anime I used to watch as a kid on a VHS tape that I cannot for the life of me remember the name of. What I remember from this show/movie was that: It was set in space. The MC was a man who was able to morph into a robot, possibly a mecha-suit. The sequence of him transform...

Take any scientific calculator and follow these steps: Ensure the calculator is in degrees mode. Enter some number of 5's (more than 4 is ideal). Take the reciprocal of step 2. Take the sine of step 3. You should find that the result is an approximation of $\pi$ (that becomes more accurate as m...

Usually, the difference between ordinary insults/name-calling and actionable slander is taken to be that non-actionable insults are either subjective statements that can't unambiguously be determined to be true or false (for instance, "Ronald is an asshole") or else statements that, while objecti...

I am running a binary logistic regression analysis in R software using rms package. Due to the small sample size (n=96), I used all data as training data. Given that I don't have test data, what method do you suggest for evaluating/validating the model?

それと同時に、日本の勢力下にあった満洲への研究施設の設置も着手された Shouldn't に be used here instead of へ ?for as faras I know へ function is to denote the direction to which an action is taken not a direction in which an action is taken .

I'm trying to recall a phrase it goes along the lines of "choose ___" where ___ is a number. OR "pick ___" (I can't remember which word exactly). The explanation of the phrase is that in either civil or criminal court there are a ___ number of jurors so the idea is that by saying this phrase you ...

For questions sake assume that this moon is a perfect recreation of Earth on January 1st 1660 and that the planet looks identical to our moon on the same day. The Planet would have a mass of 81.3 earths and would have identical orbital charteristics(orbital period, inclination, eccentricity, etc)...

Let me consider the circle homeomorphism $T:\Bbb{R}/\Bbb{Z}\rightarrow \Bbb{R}/\Bbb{Z}$s.t. $T(x)=x+\frac{1}{2}$ if $x\in [0, 1/2]$ and $T(x)=x-\frac{1}{2} $ if $x\in [1/2,1]$. Now I want to find a lift $F:\Bbb{R}\rightarrow \Bbb{R}$. This means $F$ needs to be continuous and $\pi(F(x))=T(\pi(x...

I've got a button with a warning symbol on it, and I want to animate the dark parts of that symbol to glow bright yellow. Is there a way I can texture this? I created the image file in photoshop, so I can change the texture file in there, but I'm not sure how I make the yellow part glow and not ...

Some time ago, aliens placed the Moon around Earth with every intent to deceive us about its authenticity, except for the glaring synchronization that allows for total solar eclipses, as something like a practical joke. What indirect evidence do we have that places the Moon's age as far back as p...

Does an unseen servant provoke an enemy's opportunity attack? Scenario: I disarm an enemy and use my bonus action to command an unseen servant to pick up the opponent's item and carry it away somewhere. Will the opponent get an opportunity attack against the servant? Notes: the text for an opport...

I'm trying to build a simple public-facing web form on an LWR Site. One key requirement is for users to be able to upload a file, but I'm facing some heavy obstacles: lightning-file-upload is not supported in LWR Sites Due to heap limits, file uploads via Apex have an unacceptably low file size ...

I want to portray a culture with a significantly different method of perceiving their own mathematical concepts, yet not so as to say something like just "they used a kind of number very often, that is almost never used by [insert name of relevant other culture(s)]." I could bore the audience to ...

In the Star Wars: The Clone Wars tv series, when the character Ahsoka Tano is leaving the Jedi Order, she says: I'm no Jedi. Would the phrase "I´m not a Jedi anymore" be the correct one? What's the difference between one and the other?

Let $\widehat{X}$ be the formal completion of $X=\mathbb{P}^N_k$ along a hypersurface for $N\geq 4$. The exercise is to prove $\operatorname{Pic}(\widehat{X})\rightarrow \operatorname{Pic}(Y)$ is an isomorphism. The hint is to use Exercise II.9.6, Exercise III.4.6, and Exercise III.5.5. Let me ex...

Oh! I have slipped the surly bonds of Earth And danced the skies on laughter-silvered wings; Sunward I’ve climbed, and joined the tumbling mirth of sun-split clouds, — and done a hundred things You have not dreamed of – wheeled and soared and swung High in the sunlit silence. Hov’ring there, I’v...

I'm wanting to perform some calculations in latex for the purpose of building a diagram that can be re-used for different inputs. Specifically its related to drawing lines connecting two points and arcs relative to those points. I'm finding that its pretty hard to find syntax for doing calculati...

I am able to select a decal and display the GeoJSON on the map. Once I select another decal from the select dropdown it shows the new GeoJSON shape but doesn't remove the old ones. I've tried multiple ways to solve this including removeLayer(). Any help is appreciated import { Component, OnInit }...

I heard that buying a ticket from a different country (like using a VPN to access the website from another country's IP) may change the price. Is it true? Any specific Airline or example that I can try this?

I discovered a small puddle on my basement floor yesterday. I have a pump that moves condensation from my boiler to a drain. It runs for a second or two every few hours. The piping is clear, flexible tubing and I found two sections disconnected. Based on the small clamps I'm guessing there was a ...

The senses of vision and hearing are commonly recognized as being important for the study of mathematics, with fields like geometry and topology relying heavily on vision, while algebra and number theory can be communicated through hearing alone. There are many examples of mathematicians who have...

I was trying to make cinnamon rolls but noticed that I’m missing two cups of flour and it’s too late in the night for me to get more. I’ve already made the mix (yeast, milk, and sugar) and added two cups of flour (I need 4 cups for the recipe). Is it okay for me to refrigerate the mixture and jus...

If I was playing a Centuar and I lost my leg would the Artificer Armorer's Arcane Armor replace it while I'm wearing it? Arcane Armor states: It also expands to cover your entire body, although you can retract or deploy the helmet as a bonus action. The armor replaces any missing limbs, function...

I recently received an offer from a small tech start up that just received a round of funding to be their founding sales rep. It’s exciting and I verbally accepted the offer, however when I received the offer in writing, it reflected a different agreement regarding my equity in the company. The w...

Obviously I have forgotten by basic college chemistry. I am getting carbon dioxide at 1.87kg per cubic meter and compared it to nitrogen and oxygen but source says carbon dioxide is 1.5 times heavier than air. Lets go with that and since the earth is about the same size as Venus we should be able...

Let's say firm 1 has a production function = min(L1,K1) And firm 2 has a production function = L^1/2*K^1/2 Total labour supply = L1+L2 Total capital =K1+K2 And firm 2 takes over firm 1 How to derive the new cost function ? Should it be equivalent to adding cost function of both firms after accoun...

Whenever I do :echo synstack(line("."), col(".")) it prints [] I've tried this in html and svelte files in my neovim with treesitter, in neovim with -u NONE, and in Vim 9 with -u NONE. All of them just returning [] all the time. How am I meant to be able to check synstack?

I need to modify side navigation bar on my account page as below. I tried to add some lines to customer_account.xml but its not worked.

I am studying signal processing and currently doing signals & systems. While going through convolution and especially the impulse response , there are problems where LTI systems wherein the input is an unit impulse at $ t=0$ ,but the output pulses are generated at $t\ge 0 $ as well as $t\lt 0 $ a...

Given a possibly big integer (up to $10^12$ or more) is there a way to print the digits of that number in fixed position using metapost? For example given the number 123456789 or 2365411111 is it possible to print the $i$-th digits at coordinates $(i,0)$? The idea should be something in the spiri...

$\left( \begin{array}{cccccc} -a & 0 & 0 & 0 & 0 & 0 \\ 0 & a & 0 & 0 & 0 & 0 \\ 0 & 0 & -a & 0 & 0 & 0 \\ 0 & 0 & 0 & a & 0 & 0 \\ 0 & 0 & 0 & 0 & -a & 0 \\ 0 & 0 & 0 & 0 & 0 & a \\ \end{array} \right)$ That is, scalar matrix with changing sign on the main diagonal.

There are two algorithms in my framework, $E_1(\cdot)$ and $E_2(\cdot)$. In particular, executing $E_1(\cdot)$ on a specific input $x$ (i.e., $E_1(x)$) is equivalent to executing $E_2(y)$ for some input $y$. Suppose the security model of this framework allows an adversary $\mathcal{A}$ to query $...

I vaguely remember watching either an episode or a movie during my childhood (sometime in the early 2010s I'm pretty sure) of a girl who receives a doll that looks like her. But shortly after, the doll starts doing mischievous things that the girl's mother blames the girl on. I remember specifica...

How to simplify the expression a b . x/((a b) . x) Where a is a scalar and b and x are vectors. I have tried the usual Simplify, FullSimplify, TensorExpand etc. but the expression does not simplify to 1.

At the start of X-Men: Days of Future Past, it was explained that Trask was assassinated by Mystique in 1973 and the whole movie was basically about Wolverine going back in time to prevent that assassination. The mutants at the beginning of the film seem to be in continuity with the ones from X-M...

I have a simple question regarding current and voltage in a circuit. How can one be sure that the current remains the same, i.e. 2 A, after passing through a voltage source and does not increase or become less? I have the same question regarding the 3 A; does it mean that it was 3 A before passin...

I want to calculate the Kullback–Leibler divergence between two multivariate $t$ distributions with different degrees of freedom (say $\nu_1$ and $\nu_2$), but same location and scale matrix, for arbitrary dimensions, How can I deal with the multivariate integral in the KL divergence? Is there ...

Let $A = \{1,2,3,4,5,6\}$. In how many ways can we select in order without replacement, three elements from A such that the last number is even: The dr's solution was $(5 * 4) * 3 = 5P2 * 3 = 60$. But that doesn't make sense to me. Can someone please explain how we solved this?

Maybe I'm searching with the wrong terms, but can the GNU LESSER GENERAL PUBLIC LICENSE be removed from a software project like this browser extension? The commits in question are these https://github.com/igdownloader/InstagramDownloader/commit/90f2450c4f68504720f071fdc0c78321a7b85ce7 and https:/...

I am trying to figure out an issue that I have with LM317 regulator. It is producing ~ 1.7V at VOUT instead of desired 5V. I've used this design in several other PCBs with no issues. The schematic is following: The layout from both sides: Couple of observations: Vin measures stable 12V at fir...

We all are familiar with several of the largest denominations of Christianity: the Anglicans, Baptists, Catholics, Lutherans, Methodists, Pentecostals, Presbyterians, etc. Several sources claim that there are approximately 45,000 denominations in Christianity, 200 denominations in the U.S. alone....

We teach students that a notation like $$17 - -59$$ is not acceptable or at least not good. Instead we want them to write $$17-(-59)$$ The main reason seems to be that it's more readable if you separate the operator and the number sign. But since students frequently make errors regarding this no...

In response to the query on why Jesus' disciples did not fast like those of John the Baptist, Jesus tells the parable of New Wine in Old Wineskins in the Gospels viz. Matthew 9:14–17, Mark 2:21–22, and Luke 5:33–39. Interestingly, Luke adds a verse in 5:39: And no one after drinking old wine wa...

Here's something me and my colleagues run into all the time: We're working in different QGIS files making maps visualizing our data. Every specific tool or action wants to save the output by default in the last used folder. Since we use a lot of tools once or twice during a single project, often ...

ראש השנה משנה ב ח- וְעוֹד בָּאוּ שְׁנַיִם וְאָמְרוּ, רְאִינוּהוּ בִזְמַנּוֹ, וּבְלֵיל עִבּוּרוֹ לֹא נִרְאָה, וְקִבְּלָן רַבָּן גַּמְלִיאֵל. אָמַר רַבִּי דוֹסָא בֶּן הַרְכִּינָס, עֵדֵי שֶׁקֶר הֵן, הֵיאָךְ מְעִידִין עַל הָאִשָּׁה שֶׁיָּלְדָה, וּלְמָחָר כְּרֵסָהּ בֵּין שִׁנֶּיהָ. אָמַר לוֹ רַבִּי יְ...

It has been well established that several NATO countries are donating armoured vehicles (and training crews) to Ukraine. Some of the more notible vehicles that are being delivered include the American M1 Abrams, German Leopard 2, and British Challenger 2. All of the mentioned tanks have use some ...

I'm building a self-navigating robot that uses IR sensor (GP2Y0A21YK0F model) with Arduino to navigate through a terrain, however during testing phase when I put my hand closer than 7cm it bugs and doesn't detect if anything can be closer than that distance as you can see on the screenshot. The ...

So i am having some numbers which i can't understand...basically i am performing a permanova test using the adonis2 function, from the vegan package, and what i see is a very significant p-value with a very low f-statistic and i was wondering how this is possible. This is what i have: Permutation...

I have a following function and would like to find the elasticity of substitution between pairs: $$U = \left( x_1^\delta + x_2^\delta + x_3^\gamma + x_4^\gamma \right)^{\frac{1}{\delta + \gamma}}$$ With elasticity of substitution formula being: $$ \sigma_{ij} = \frac{\frac{\partial (x_j/x_i)}{x_j...

Why do orbits of satellites, orbiting at sufficient speed, far far beyond earth atmosphere; decay, if there is no atmospheric drag? What drag applies on the satellites at that altitude?

We've recently purchased a house and I'd really like to get the garden in a better shape before the summer if there's anything I can start doing now in preparation. There are some patches in the grass that I've no idea how to fill in. This is a general spotty patch that occurs multiple times. Th...

You have probably heard a similar problem from 50 challenging problems in probability: "How many cards do I have to draw until I obtain an ace from a standard deck of playing cards?" The answer for the above problem is 10.6, which can be obtain through manual calculation or using partitions. I wa...

I'm going to use a more powerful server to run my simulations on it using a remote control software (The server is in another building). It's my first time to try that. What are the things that I should be aware of? Do I have to install the codes that I'm using on that server too? How can I use i...

Pretty straightforward question, I'd say. I know that for a capacitor I'd definitely want a bleeding/discharge resistor, and I know how to size one for that (cheat sheet for anyone curious), but what about inductors? It's not like the magnetic field of an inductor will stay there the way charge d...

Let $f:\mathbb R^n \to \mathbb R$ be convex, let $u\in \mathbb R^n$, $v\in \mathbb R^n\setminus \{0\}$ and assume that the directional derivative of $f$ at $u$ in direction $v$ is $0$. I'm wondering if this implies that $f$ has a global minimum at $x$. The function $g:\mathbb R\to \mathbb R, t\m...

Question: There are 10 apples and 15 bananas. Find the number of ways to choose 6 fruits if 3 apples must be chosen. (Assume all fruits are distinct) This question confused me a lot: The correct approach is to calculate by choosing 3, 4, 5 and 6 apples respectively: ${10 \choose 3}{15 \choose 3}$...

I know some people hate and fear the deck of many things, but as a GM running a high-lethality sandbox campaign, there's many things I like about it - and I'd like to deploy one for my players to find. That being said, there's something I've always been a bit confused by. Every version of the dec...

I have a function of the form f[a___][b___] which I would like to apply rules to, for example: f[a___][b__] /; ! OrderedQ[{a}] && !OrderedQ[{b}] := Signature[{a}] Signature[{b}] f[Sequence @@Sort[{a}]][Sequence @@Sort[{b}]]; f[a__] /; ! OrderedQ[{a}] := Signature[{a}] f[Sequence @@ Sort[{a}]]; H...

On Wikipedia (https://en.wikipedia.org/wiki/Minimal_volume) it is said that the minimal volume $\operatorname{MinVol}(M):=\inf\{\operatorname{vol}(M,g) :g\text{ a complete Riemannian metric with }|K_{g}|\leq 1\}$ is a topological invariant, introduced by Gromov. I have no doubt that this concept ...

I want to perform a Cox Regression Analysis for the dependent variable of overall survival in years. I want to use a categorical explanatory variable that has 3 levels. Let's say for the sake of simplicity it's 3 types of mutually exclusive radiological findings like: Good CT-Scan Neutral CT-Sca...

One effective technique I was told to use is to integrate the exposition within the narrative, rather than presenting it as a separate block of information. This can be accomplished through various means such as dialogue that describes the world for the sake of worldbuilding. However, wouldn't us...

Is there any difference in terms of fore/aft weight distribution between the two wheels in the two pictures? In other words: Is the location of the center of gravity of the 100kg weight the only factor that matters for fore / aft weight distribution between the two wheels? Assumptions made: Diff...

When running pg_routing to generate catchment areas I got this error when running the 2 queries below: SQL Error [XX000]: ERROR: parse error - invalid geometry Hint: "se" <-- parse error at position 2 within geometry Position: 26 select pgr_alphaShape( 'select v.id::int4, st_x(v.the_geo...

I have a PostgreSQL table with 7000 records relating to grounds maintenance. Each site has a site reference number and I want to assign a sequential parcel number within each site starting at 1 to n. Siteid|parcelid L001|1 L001|2 H001|1 H001|2 H001|3 etc. I just can't figure it out.

I have a windows file sever with Dual Xeon E5-2650v4 cpus. They are 14 core each so 28 cores total. The network interface is a Mellanox Connectx3 40gbs. The disk drives in the server are 7.68TB Sata 6gbps ssds x8 in a Raid 0 (software windows stripe) There are 200 render nodes reading data from t...

I have following question : b[n_] := (D[1/(1 - t), {t, n}] /. {t -> 0})/Factorial[n] Limit[b[n], n -> \[Infinity]] b[n] represents the $n^{th}$ Taylor coefficient. Each $b_n$ is 1, Why I am not getting this limit as 1 ?? , it's showing Indeterminate. Is there any simple method to calculate Limi...

I saw this question from Advanced Porblems in Coordinate Geometry by Vikas Gupta for JEE Advanced pertaining to Conic Section. If the line x + y −1 = 0 is a tangent to a parabola with focus (1, 2) at A and intersects the directrix at B and tangent at vertex at C respectively, then AC BC is equal...

SQL Server seems to go out of its way to remove a COLLATE restriction on a nvarchar column if the collation is the DB default. My DB default is SQL_Latin1_General_CP1_CI_AS. If I create a table thus: CREATE TABLE [dbo].[UserActive]( [Id] [uniqueidentifier] NOT NULL, [DateCreated] [datet...

I'm already 3 days trying to create simple table as I have in Word. I want to create some template for me. I tried many converters to LaTeX, but it doesn't answer on all my requirements. That what I get m but have to fix several things. I almost sure I don't need multicolumn in the code. Just to ...

Given five points on a sphere, can you always draw an equator such that four or more points lie on one hemisphere? How? Points on the equator count as being on either side.

In terms of publication history (first instance in published media, rather than first instance for the character's perspective in a particular story), when was the very first time that Batman discovers the existence of something that's considered to be either paranormal or supernatural, and how d...

This is a short story I read on the Internet, probably Project Gutenberg, in the last 15 years. It's likely to be much older - '60s maybe. Humanity was at war with an alien race. The aliens had self-guiding space mines with some rudimentary intelligence, I think they were said to be organic. The ...

This is a chicken from my own yard, first one to hopefully be eaten. I’m not sure about this yellow substance. Is it just fat deposits? Is it normal, and should I just remove them? The chicken was a Plymouth Rock.

I have some code to automatically draw the grid for a polyomino (a shape constructed from edge-to-edge connected squares) based on the user input of its binary matrix. The binary matrix is for the bounding rectangle of the polyomino where 1's represent filled squares of the polyomino, while 0's r...

I have a 27KW tankless electric Water Heater (WH) that is hooked up to a sub panel from the main panbel, with a max amp draw rating of 112.5 amps. Additionally, the 2.0 hp well pump is also wired to this sub panel. This sub panel coming from the main panel uses a 100 amp breaker. The WH has 3 x 4...

Supposing a world that falls somewhere between low and high magic, what would stop a city of truly epic size from existing? The city is a city-state that has existed for millennia. It is pretty much the mercantile centre of an entire continent, connected to the capitals of other empires via magi...

The Sitecore container registry contains mssql-developer images for Windows OS targeting only MS SQL Server 2017 (see full list here). The Microsoft Artifact Registry contains only MS SQL Server images for Linux OS: https://mcr.microsoft.com/en-us/catalog?search=sql If I want to use an MS SQL Ser...

I have encountered some comparison between two binomial sums. It was amusing how the one with "fewer" summands exceeds (in value) than the other which consists of many more terms. In fact, it even more fascinating to me because in my initial inequality the longer sum had a range $1\leq k\leq m+n$...

Suppose I have a commutative ring $R$. Given an element $(x_1,x_2)\in R^2$ there exists a homomorphism $\mathbb{Z} \to R\otimes R$ taking $1$ to $x_1\otimes x_2$, so there exists a map $f:S^0 \to HR \wedge HR$ giving this on $\pi_0$. There is also a map $g:S^0 \to H\mathbb{Z}$ which is an isomo...

I vaguely remember a story (novel or series, sorry, I don't know) that I read in German in the late 1980s or early 1990s. The book was translated from English, though. It was about a thief who could use magic to exercise his "profession". He was an orphan (not sure about that, maybe he just ran a...

I have fought every opponent at the Bed of Styx colosseum except for one. Even after repeating every tournament multiple times, I haven't met the third to last person in the opponent list. Is there something specific I need to do before I can fight this opponent? Or am I just getting extremely un...

I'm going to apply for participation in a conference that happens in July. In the application they ask for my position and affiliation. The important point is that right now I'm a PhD student at a university and by July I'm going to be a postdoc in another university. In that regard, I'm not sure...

In the precise and rigorous astronomical use of the word, does the term "syzygy" refer to an astronomical alignment of three and only three bodies? Or, can syzygy be interpreted as an alignment of three, or more, astronomical bodies?