I have another all-female species in my world, and it's Lamia; women from the waist up, snake from the waist down. Sort of like mermaids, but more commonly encountered by humans, as they live in forests, deserts, swamps, grasslands, and even caves (each environment has its own subspecies.) Lamia ...

$A$ and $B$ start running simultaneously towards each other from the two ends of a track $XY$ and the ratio of their speeds is $3$ : $4$. Every time they meet, they interchange their speeds and also reverse their directions. At how many distinct points on the track do they meet each other, if th...

I am sure this was due to my own ignorance on proper technique, but immediately after landing in a Cessna 172, I applied brakes and some moderate aerodynamic braking and experienced an awful and violent rapid shake of the plane. I let off the brakes but the plane continued to shake for a few seco...

I'm trying to do a query and store every row result in an array element in ksh (maybe bash). I do: result=($($PATH_UTI/querysh " set heading off set feedback off SELECT columnA,columnb FROM user.comunication;")) I have that: row1 = HOUSE CAR row2 = DOC CAT echo "${result[1]}" and it gives me H...

Consider the following scenario: "Aisha" is the registered keeper of a car she bought on credit. "Benin" has had control of the car for the last 2 years following his divorce from Aisha. A few months ago Aisha, as the registered keeper, received reminders that the MOT1 was due to expire which she...

I am tutoring a multivariable calculus student, and his teacher was solving $$\int_R f(x, y) dA$$ using the Change of Variable Theorem, where $f$ is an unimportant function and $R$ is the region bounded by $$\begin{align*} x^2-y^2 &= -1\\ x^2 - y^2 &= 1\\ x+y &= 1\\ x+y &= 3 \end{align*}$$ The he...

I'm studying lagrangian mechanics, and there's a property where you could obtain an equivalent lagrangian $\mathcal{L'}$ from $\mathcal{L}$ by adding a function which satisfies: $$ \mathcal{L'}\rightarrow \mathcal{L}+\frac{df(q,t)}{dt}.$$ This lagrangian $L'$ would give rise to the same equations...

In this example of a model for a piezo element, there is an inductive component: As the piezo vibrates, there are two forms of energy storage going on... capacitive, and inductive (or something like inductive). I believe that the inductive component comes from the piezoelectric effect, which rel...

This is a marriage record from Mihla, Germany, in 1730. My best reading of the 2nd and 3rd lines is: Hanß Georg Monton, Bürgers Zu Creuzburg, [mia?] [und?] An= spänners und Schultzens Zu Büchenan ehel, [?] Sohn und Jgfr. Creuzburg is at the center of the map here. Mihla is at about 2 o'clock f...

I planning to write a long report (~300 pages) in latex. My report will contain a lot of Bangla text along with English text. I found several ways to write Bangla in latex, but I failed to choose the best way. Another important thing is that when I use Bangla setting as main font, it changes the ...

I have been writing a book for the last eight months ( at the moment I have already written 174 pages ) about anatomically plausible superhumans (a new kind of person who would have to surpass us both intellectually and physically, being smarter and stronger than ordinary people). And at the mome...

I am aiming to draw a square with circles - starting in the bottom left corner of the square the radius and the position of the subsequent circles (of course multiplied by the respective loop variable to move it one step further in each step) is the length of one side of the square divided by the...

I, and one of other players in my play-by-chat group, have expressed a desire to improve the narration of our character's actions. When they brought this up, I noticed the sort of unvaried descriptions I'd been giving as well: Fin hurries to keep up. Fin walks into the room slowly, looks aroun...

Our 1953 built house has a built-in cabinet and shelving unit in the living room. One of the drawers was made without sides and has an unusually shaped hole in the bottom (to the point where there is essentially no bottom). The cabinet beneath this drawer has a power outlet that has been there ...

According to Rusty Russel, you need to mine 432 blocks to activate segwit on regtest. Why this specific blockheight? Sources: https://rusty-lightning.medium.com/segregated-witness-for-developers-8fa9042f43ed#.6ur6kr5nf https://github.com/ElementsProject/lightning/blob/f4e94147a7281ec05e078ff9f3e...

I'm making a Duergar fighter character and am wondering if the Blind Fighting fighting style could cancel out Sunlight Sensitivity. The Duergar's Sunlight Sensitivity states You have disadvantage on Attack rolls and on Wisdom (Perception) checks that rely on sight when you, the target of your at...

Discrete Time Signal Processing by Oppenheim says that for the product of two DFTs (i.e. circular convolution) to be equal to linear convolution, the DFTs must be at least P + L - 1 long where P and L are the lengths of the time domain sequences used to compute the DFTs. I understand this to mean...

Is it true that in the category of connected smooth manifolds equipped with a compatible field structure (all six operations are smooth) there are only two objects (up to isomorphism) - $\mathbb{R}$ and $\mathbb{C}$?

I'm living in Austria at the moment. I keep hearing people saying something that sounds like "Da die so". I mistook it for "daddys home" the first few times I heard it. I've also heard "da ma so". These must be dialect or atleast shortened words, but I can't figure out what they are saying exactl...

How can I achieve multiple align points as illustrated in the picture? The corresponding latex code: \begin{align*} \int_{}^{} \sin\left(x\right) \sin\left(x\right) \mathrm{d}x =&-\sin\left(x\right) \cos\left(x\right) + \int_{}^{} \cos\left(x\right) ^{2} \mathrm{d}x \\[10pt] =&...

In the movie Star Trek II: The Wrath of Khan, did Captain Terrell and Commander Chekov have their phasers when they encountered Khan and his group outside of the Botany Bay?

I'm trying to create an auto-encoder based model for segmentation, which looks something like this: https://i.sstatic.net/4F3Z0.png I haven't added a single step, nor missed one as far as I remember. Then how come, when I try to fit data to it, it throws me an error saying: ValueError: Input ...

We have a list of string arrays i.e. List<String[]> (which we got from a csv) which follows the hierarchy: 0000 3000 5000 5000 5000 . . . 3900 3000 5000 5000 5000 . . . 3900 . . . 9999 As you can see, it will always start with 0000 and end with 9999...

I just updated my MiKTeX packages. Output now seems to be missing mathematical operators if I load both newtxmath and lmodern. \documentclass[a4paper,twoside,12pt]{article} \usepackage{newtxmath} \usepackage{lmodern} \begin{document} $(3 + 5) \times 2 = \lambdaup$ \end{document} The output o...

Gostava de usar algum termo que indique que uma rua é usada somente por pedestres. Talvez uma palavra semelhante ao termo pedestrianised em inglês. Por exemplo, a Carnaby Street é descrita da seguinte forma pelo Wikipedia: Carnaby Street is a pedestrianised shopping street in Soho in the City of...

There is a Single Board computer that gives a range of input supply as xvolts - yvolts. Let's say we add a few more additional components like webcam or additional storage drive. Taking these into consideration, how to determine the needed input voltage?

In this video, YouTube: Did Ancient Romans Use Tattoos? @ 4:35, the presenter mentions a "Taxes Paid" tattoo. I understand it's just YouTube but I believe this creator doesn't typically fabricate such things. If this is accurate, would the Latin simply be "Tributa Solvita"? I believe abbreviation...

As the books call it, Elrond's house is the Last Homely House east of the Sea. But if Rivindell is the last homely house, what are the other homely houses east of the sea? Or does Rivindell count as the last and the first because it is the only one? This question has bugged me for a while, and I ...

I have a table that has more than 10.000.000 records, and I'm creating a query that returns about 4436 records. It just so happens that it gives me the impression that the query cost to get to the last record is very high. Index Scan using idx_name on task (cost=0.28..142102.57 rows=3470 width=3...

I'm looking at this battery: SLB08115L1401CV I was under the impression that the chemistry of a lithium ion cell dictates the charged/discharged voltage levels. That certainly seems to be the case with larger cells. Every one I've ever seen follows a similar curve, where ~4.2V = full charge and t...

I think he gets married to a human-like elf person. I just remember feeling a sense of melancholy reading it. The guy gets put back into his own reality, the modern world and spends the rest of the time trying to find a way back into this other reality/dimension where he has a wife. I read it w...

How should I handle players who make secret plans? I am a first-time DM running Curse of Strahd for 6 new players. All of us are good friends. This week during our session, my players made a secret plan together they wanted to do that involved forging a copy of a journal and handing it to a major...

I evaluated this. {lon1, lat1} = {-76.4408, 38.0825}; {lon2, lat2} = {-76.5054, 38.1413}; {lon3, lat3} = {-76.3546, 38.2446}; {lon4, lat4} = {-76.2900, 38.18582}; dir12 = GeoDirection[{lat1, lon1}, {lat2, lon2}]; dir23 = GeoDirection[{lat2, lon2}, {lat3, lon3}]; dir34 = GeoDirection[{lat3, lon3},...

I had a very bad PhD experience which has led to complete loss of motivation to pursue a career in theoretical physics. I don't have the motivation anymore to work on topics which are very abstract and being a postdoc, it is even harder to do this independently. In addition, I find the long term ...

In the square $ABCD$ of side $6$, points $P$ and $Q$ move along sides $AB$ and $CB$ so that $\overline{PB}=\overline{BQ}=x$. Consider the segment $OQ$ parallel to $AB$. Which of the following expressions describes the measure of the length of $\overline{OQ}$ as a function of $x$? My approach: ...

Hi everyone I'm just wondering what is the standard for treating playground wood in a safe way for kids such as in this picture? I've done a bit of searching but I can't find anything conclusive. Thanks

My friend has a multi-classed wizard 5, sorcerer 4. They recently took their 5th level in wizard, and took Steel Wind Strike (5th level) as one of the two spells they can add to their spellbook upon level up. The multiclassing rules for spellcasting state that you determine the spells that you ca...

UFO's are real and fighting around the Earth! I have an alien spacecraft in modern Earth's atmosphere, and rival alien spacecraft in Earth's Orbit. Both aliens are capable of maneuvering at great acceleration (100 G's?) equivalent to what is commonly portrayed for UFO's as seen in various videos ...

So running my first campaign (technically second, but the first never finished as the group dispersed). I'm running four PCs through Curse of Strahd, currently at Death House. Things were going pretty well, following a modified guide (Fleshing out Curse of Strahd) and hit a bump where basically t...

$GL(n,\mathbb{R})$ can be seen as $\mathbb{R}^{n^2}$ with points of non invertible matrix removed which form "holes" in $\mathbb{R}^{n^2}$. These holes seems to be dense in $\mathbb{R}^{n^2}$ which will mean any neighbourhood of $GL(n,\mathbb{R})$ will contain holes, even for the neighbourhood th...

My understanding is that the extra cartridge RAM banks at &A000-&BFFF are battery-backed SRAM that is preserved after powering off the game. If I'm making a simple game that doesn't have a save feature, can this RAM be used as the home for the stack pointer? Putting the stack at the top of high r...

Challenge Given two integer values \$a \ge 2\$ and \$0 \le b < a\$, generate a \$(2a-1) \times (2a-1)\$ matrix consisting of the integers 0, 1, and 2 as follows: Create a checkerboard of 0s and 1s of the given size, corners being 0. If \$b > 0\$, overwrite the checkerboard with 2s in the X shape...

As I understand it, a basic chord is built of 3 notes, which can be harmonized in different octaves. It's always the first, third, and fifth to make up a basic chord. An extended chord then adds a note. A 9th extended chord, for example, adds the 9th note in the scale to the chord. So I would ass...

According to Catholicism, if a Christian lacks devotion to Mary and the Saints, is he or she spiritually "handicapped" or "missing out" spiritually? For example, let's suppose that a Christian has devotion to the Father, the Son and and the Holy Spirit (or possibly subsets of them in the case of ...

Sorry this is probably a dumb question but I am a bit stuck in here and I can't find suitable solutions in google. Basically I have an item or a page with a Tagging on it. But I can't seem to get the value of tags using scriban template. I tried using {{i_item.tags}} and {{sc_raw i_item 'Tags'}}...

Using the 2.9 approach of attributes, I saw this accomplished by a couple of Attribute Vector Math nodes, like so: With the introduction of Geometry Nodes fields, I can't find a way to get this same functionality... Does anyone know how?

I want to write code that, given a matrix, finds the image of a unit disk under that matrix. I googled this and I could not find much but this seems like such a simple task. I found the command TransformedRegion but it does not allow a matrix as it's second argument. How would I go about doing th...

Matthew 1:21 And she will bring forth a Son, and you shall call His name JESUS, for He will save His people from their sins.” Why does he save His people only?

Many brands such as Campbells, Batchellors and Heinz all have a distinct "mushroomy flavour" in their cream of mushroom soup that I can never quite imitate in my own soup recipe. All of them just state their fungi as "mushroom". I have tried: Closed cap mushrooms Button mushrooms Chestnut mushro...

I'm working on a custom ZSH prompt and I want to repeat a char n times in a string (such as spaces for padding). This string is printed with print -rP (the -r flag ignores echo escape conventions and the -P flag performs prompt expansions). I have working code using some kind of string substituti...

Which would boost riding performance more losing weight or getting the same weight less in a lighter bike? I know that a good bike is not just about weight so assuming that the new bike purely weighs less and not better mechanical parts.

I am trying to consume data from a callback API that sends the POST request in this format: [ { "key1": "asd", "key2": "123" } ] However my API currently only works when it is sent like this: { "key1": "asd", "key2": "123" } serializers.py: class RawIncomingDataSerializer(serial...

In Richard Carrington's drawing of sunspots, he has a compass labeled "N", "P", "S", and "F". If "N" is North and "S" is South, what do "P" and "F" mean? Also, why is the compass not oriented in the same way as the lines of longitude/latitude?

Which Arduino nano is best for creating a nano drone? Will it be compatible with 3.7 v coreless brushed motors?

Six "across" clues need to be modified in some way before solving. However, I'm not telling you which ones, or what the required modification is. You'll have to figure it out on your own. You'll get some help, though. Every "down" clue contains one extra letter, which must be removed before solv...

Is there a formula for the product of 3 matrices? That is, if $A \in \mathbb{R}^{m x n}, B \in \mathbb{R}^{n x n},$ and $C \in \mathbb{R}^{n x p}$, and I want the $(i, j)$ entry of the product $D = ABC$, how can I write $D_{i,j}$? I know $(AB)_{i,j} = \sum_{k=1}^na_{ik}b_{kj}$, but I'm not sure i...

The particle demo can follow an interrogative word to form a free-choice expression such as 'anyone,' 'anything,' and 'anywhere.' Essential Japanese Grammar by Masahiro Tanimori and Eriko Sato, page 167. Some provided examples with 何でも: 食べ物はだいたい何でも食べられます。 I can eat almost any (kind of) food. ...

I understand the standard proof that there exists no surjection $f: X \to \mathcal{P}(X)$, but I'm not able to tell whether it deals with the case that $X = \emptyset$ or whether I need to rule this out separately. If I want to prove that $|X| < |\mathcal{P}(X)|$, I need to find an injection $X \...

The symmetric group $S_n$ - the group of permutations of an $n$-set - plays a very important role in Group Theory. The paramount importance of this group resides in the following fact: given any finite group $G$, there is a value of n such that $S_n$ possesses a subgroup that is structurally id...

As per my knowledge, any entity that is learnable by a training algorithm can be called a parameter. Weights of a neural network are called parameters because of this reason only. But I have doubts about the qualification of hyperparameter. Hyperparameter according to my knowledge is an entity th...

Consider the following device; a ripple counter: module ripple(out2, out1, out0, clk); input clk; output reg out2 = 1'b0, out1 = 1'b0, out0 = 1'b0; always @ (posedge clk) begin out0 = out0 + 1'b1; end always @ (negedge out0) begin out1 = out1 + 1'b1; end always @ (negedge out1) begin ...

I am using QGIS 3.16.12 - Hannover. I have a binary raster layer which consists of 2 values, either 0 or 1 (in my screenshots, 0 = black, 1 = white). The 1 values are scattered throughout the layer in various clusters, sometimes they are close together and may form a loose clump of 20 plus pixels...

Suppose that we are given an AF-algebra $A$ and a sequence of finite-dimensional subalgebras $\mathbb{C}=A_0\subset A_1\subset A_2\subset\ldots$ such that $A=\overline{\bigcup\limits_{n\geq 0}A_n}$. Let me denote this dense subalgebra of $A$ by $A^{LS}$, i.e. $A^{LS}= \bigcup\limits_{n\geq 0}A_n$...

Does anyone have tips for safely Parrying/Blocking the Muay Thai Teep Front Kick? This is specifically to the parry/hand tactic they teach below. This tactic works in practice, but it seems in a real fight, it can twist/shatter my elbow or hand if not done properly. Any expert advice in doing th...

I was going through a book when I came across these terms- Sadakhya Tattva, Ishvara Tattva, Suddha Vidya Tattva. I'm not sure what they mean. The author didn't explain their meanings. Perhaps some of you here who are familiar with Hindu Tantras or Kashmiri Shaivism can help me out. Also, it wou...

I would like to list the name of all tables of PostGIS in a given DB called DB-1 in PyQGIS. I found this Q&A at Stack Oveflow: https://stackoverflow.com/questions/34418667/get-table-names-from-postgis-database-with-pyqgis But it seems this solution doesn't work anymore when I try this code: from ...

Spotify just recommended me the song "Vamos a Marte" and the first thing that came into my mind was, that the article is missing. "marte" is a masculine word (am I right?) So the proper construction would be "Vamos al marte". But after some googling I found other exceptions as well, like: "Voy a...

After a record is updated, i need to perform a callout to an external system, in order to synchronize the data. For that purpose, i have created a record-triggered flow for my custom object that: After record is updated invokes an Apex invocable method (asynchronously) to perform the callout. I...

In python, I can write something like this: some_list = [(1, 2, 3), (3, 2, 1)] for i, *args in some_list: print(args) I will get the next output: [2, 3] [2, 1] When we use *args as function arguments, it is unpacked into a tuple. Why do we receive a list in this situation?

I used to just compile my tex files using overleaf, which took care of everything under the hood. Now I'm trying to figure out what the different programs do. I know that e.g. Texlive and MikTex perform the same functionality, and so do pdflatex and LuaTex, and then there is latexmk (which is a m...

When we want to say that a person's feature because that the way it is, do we say "by nature" or "in nature"? For example, "her hair is black by nature/in nature" to mean that she or her hair was born that way, not because of being dyed?

I want to execute a powershell code with a batch file to take a screenshot from my desktop that i found it here Take a Screenshot of a User’s Desktop with PowerShell. So,When i execute it as powershell script it works without any error and works for me 5/5 but when i take it as batch file like th...

I ask this after seeing a documentary on BBC TV, the evening of 27 October 2021, where Professor Brian Cox started a new series on the universe. This first episode dealt with the way the universe created the birth of stars, how the death of stars gave rise to heavier elements (vital for life) so ...

In MD simulation benchmarking you often hear the term ns/day and hours/ns. How does it convert to human understandable time like: minute, hour, days? What is the usual ns/day for standard MD simulation using GPUs?

As far as I know, the electromagnetic field strength tensor is defined to be the simplest object involving the electric and magnetic fields that transforms properly under Lorentz transformations. However, I don't get why such an object should be an antisymmetric rank $(2, 0)$ tensor, in a mathema...

It's an annoying problem with writing - I've got a bunch of characters that I've written, how do I keep them together for the adventure I want them to go on? In some stories, this can be quite annoying - reading YA novels for example, where the teenagers save the world, and the adults did nothing...

In the movie Terminator 3 - Rise of the Machines, we see lots of news segments about a dangerous hacker or virus spreading quickly across the whole world. Then the DoD decides to activate Skynet so that it can find the Virus (or hacker) and stop it. My questions are: What was happening before Sk...

In Germany, there apparently exists such a thing as a Sparbuch (literally: Saving book), mentioned in this answer. According to a recent news article, 50% of Germans use a Sparbuch, a record high number. It is described (In German) at this Sparkasse website: Das Sparbuch, bei der Sparkasse – a...

To give an example, how long would all humans have to leave the earth for a large part of the biodiversity and the original atmosphere to be restored, the oceans to recover, the fish population to increase, etc. Additional information: In my mind game, it is a controlled "leaving" of the earth, t...

I hope you have a solution for that: i wanted to remove permissions to a specific folder with: sudo chmod -rwx ./ But i had execute: sudo chmod -rwx / so i had remove all permissions to the default folder instead of the current folder... Now I don't have access to any command of which sudo... I...

The following question is from an entrance test named IAT (Indian Institute of Science and Education Research Aptitude test). Let $1, z_2, z_3,\ldots, z_n$ be the roots of the equation: $$x^n-1=0,\quad n\ge3$$ Find the value of: $$\frac{1}{2-z_2}+\frac{1}{2-z_3}+\cdots+\frac{1}{2-z_n}$$ I have ...

currently, I am trying to understand how one calculates the standard errors on higher moments using Rao's book [1]. On page 437, he defines $$ O_r = \frac{1}{n} \sum x_i^r, \, v_r = E[x^r], \, \mathrm{and} \; \mu_r = E[(x-v_1)^r]. $$ I am stuck at computing $E[O_2 O_1^2]$. In the book it is claim...

My client informed me in advance that his budget is 10k while I can comfortably sell him the product for 5k. Should I sell based on their budget or something in between my pricing and their budget? Is there an ethical stance on this matter?

I am working on an alien race who use quantum entanglement to transport a craft over vast interstellar distances. I am wanting to know if this form of transportation possible. The drive could be used to transport all the subatomic particles that make up the ship instantaneously through space via ...

In a basic introduction to law class (major is computer science) we were told that conduct which can be considered as both civil and criminal is called 'Double Indemnity' (eg assault). The only definitions of 'Double Indemnity' I've found online refer to insurance clauses. For example in Cambridg...

I'm a Japanese ATC working in Japan. I want to ask about "closed traffic". I checked 7110.65 for this. Question 1: What is successive operation? One day I was on duty and the air force pilot said "Request right closed" each time after completing a touch and go. Question 2: Does a USA pilot use "r...

I cannot type letter ‘ç’ (’+c) with English (US, alt. Intl.) keyboard, the letter ‘ć’ coming out instead. Its working fine before I upgrade the systems weeks ago. I try to change the keyboard layout but I can't find a layout with ‘ç’ by compose (’+c), my keyboard and my system are English(US).

My grammar book mentions as a bonus point that the future subjunctive is used in relative clauses that express uncertainty. "...., who may come last" / "Quem for o último" I was wondering whether this is accurate because I tried putting the example phrases into DeepL and the translation was not i...

I have a raster with a width of 2979 and a height of 1867 pixels. I need to split the raster into tiles of equal size (e.g. 5 kilometres x 5 kilometres). To do so, I need to update the height and width of the raster to fit an exact (i.e. integer) number of tiles. If the chosen dimension is 5km x ...

Issue 1: With the reference of this answer, I am using babel for writing Bangla text in Lualatx. But it show no দাঁড়ি চিহ্ন (।) which is a equivalent of full stop (.) in English. Here is a snippet of the output and দাঁড়ি চিহ্ন (।) is expected in place of red sign. How can I solve the problem o...

Man dd: dd - convert and copy a file I'm leaning to use dd. Strangely after copying 1 byte text file becomes much smaller: $ block_size=1; device_to_edit=/media/ramdrive/a; device_from=/media/ramdrive/b; echo "aaaaaaaaaa">$device_to_edit; echo "bbbbbbbbbb">$device_from; cat $device_to_edit; cat...

I have a small Intel NUC with a 30GB drive. My problem is that this drive is full but cannot find the cause of it. df reporting the following Filesystem 1K-blocks Used Available Use% Mounted on udev 899412 0 899412 0% /dev tmpfs 189284 2676 1...

I am planning to upgrade my database from Postgres 10 to Posgres 14. To reduce the downtime, I plan to use the replication for the same. Plan (in short) is to: Dump the data using pg_dumpall Kill the Postgres service running on replication Setup new Postgres 14 service Restore the data from the ...

Can I use the word "slang" with an indefinite article "a"? For example: That phrase is an obvious slang. or That choice of words is an obvious slang.

Deepl says "I have got to stop pitying myself" is given by « Je dois arrêter de m'apitoyer sur moi-même ». The reflexive on apitoyer makes the moi-même seem redundant to me and the translation of to pity myself seems a bit convoluted here. Is Deepl's way the best way to express this sentence?

Description of desired item I'm looking for a button component that is normally open, stays open while pushing it, closes when the maximum travel distance is reached, and then stays closed until fully released again. Optimally, the travel distance is adjustable. |===]👈 open initial state |=...

I am replacing my complete electrical service entrance (weatherhead, meter box, breaker panel in the house). The meter housing I have chosen is a meter/main combo that will have a 200 AMP breaker. So the meter/main combo is essentially my main panel. The neutral and ground will be bonded in this ...

Consider $u,v\in \mathbb{R}^2$ where $u=(2,1), v=(-1, 2)$. $u$ and $v$ are orthogonal since $u\cdot v=0$. If we put them in $\mathbb{C}$, they should be still orthogonal. However, $ \langle u,v \rangle=(2+i)(-1-2i)\ne 0$. I must misunderstand something here. Could anyone explain this? Thanks in a...

I just moved to the UK from the USA, where we had access to all sorts of onions (being in Texas): yellow onions, green onions, shallots, red onions, white onions, sweet onions, etc. We bought a bag of onions from a store here and they were simply labeled "British Onions." They are bigger than sha...

In machine learning (and not only), it is very common to see concatenation of different feature vectors into a single one of higher dimension which is then processed by some function. For example, feature vectors computed for an image at different scales are concatenated to form a multi-scale fea...

Oompa-Loompas were the workers at Willy Wonka's Chocolate Factory, who were imported by Willy Wonka direct from Loompaland. We are first introduced to the Oompa-Loompas in Roald Dahl’s 1964 children’s classic, Charlie and the Chocolate Factory. Their songs, apparently sung in English, from the 19...

Romans 6:5 says we shall be in the past tense, could it say we are also in the likeness of his resurrection? For if we have been planted together in the likeness of His death, so we shall also be in the likeness of His resurrection KJV For if we have been planted together in the likeness of Hi...

I am a T.A at an introductory linear algebra course this semester, and before getting into vector spaces, we give them some basic examples and properties of fields. Since this is a first semester course, everything is very elementary and we do not have too many tools. I'd be happy to give them so...

Spoilers for the What If...? finale I know I probably just missed something in the show here, but I'm stuck. In the finale for What If...? the Watcher gathers heroes from the prementioned timelines, including Captain Carter, Star Lord T'Challa, and Gamora, who's working with Tony Stark. Again, I...

Em língua inglesa, "bark up the wrong tree" é usado para expressar que, erroneamente, faz-se um esforço ou enfatiza-se algo. Se alguém "bark up the wrong tree", a pessoa está indo pelo caminho errado, não está fazendo do modo certo, está se esforçando em algo que não vai dar em nada. A expressão,...

I want to create a mathematics educational video series on YouTube based on "Byrne's Euclid" (1847), which in turn, was a rendition of "Euclid's Elements" (circa 300 BC). The following are modern renditions of Byrne's Euclid: 1, 2, 3, and 4. I am only just starting to get familiarised with copyri...

So I am using i3 an Linux window manager to manage my windows. In addition this is run on a laptop that is frequently mounted to several output-displays. This is handled by the following lines in my i3 config file set $firstMonitor DP-2-1 set $secondMonitor DP-1-2 set $laptop eDP-1 workspace 1 o...

pipe (|) limited text file is transferred from Windows application for processing. While processing there is a special character in the first column in first line of the file. This is how file looks in notepad before transferring from Windows Sector|Name|Manager|... When I read IFS='|' read -r -...

I'll be going to Korea for at least 6 months, and I take birth control pills. In my country, I've never needed any prescription to buy them, although I can easily get a prescription if needed. Does anyone here know if this prescription needs to be translated (and if I really need to get it)? Do I...

The trigonometric functions for half angles have well-defined and simple rules. For example $$\tan(\frac x2)=\frac{\sin x}{1+\cos x}=\frac1{\csc x+\cot x}$$ But I can't get the exact value for some expressions as simple as $\tan(\pi/8)$. No matter what I tried, Mathematica wouldn't understand tha...