Let $H \subset E$ be the Cameron-Martin space of a Gaussian measure $\mu$ on a separable Banach space $E$. The Cameron-Martin theorem states that for all $h \in E$ we have $h \in H$ if and only if $\mu(\cdot + h)$ is equivalent to $\mu$, and then the Radon-Nikodym derivative is $$ \frac{d\mu(\cdo...

What is this? The answer consist of three words. → • ← < ▢ ▭ ▭ < ▭ ▢ < ▢ < ▭ ▢ ▢ ▭ < < ▭ ▢ < ▭ ▭ < ▢ ▢

In Minkowski, the metric covariant derivative is just $\nabla = \partial$, and therefore geodesics (solutions $\gamma(t)$ to the geodesic equation $\nabla_{\dot\gamma}\dot\gamma = 0$) are just straight lines. However, when considering a background electromagnetic field, the covariant derivative i...

In Exalted, there are a few ways for someone to temporarily gain motes in excess of their normal cap, such as Essence Lending Method (E3, p. 331). Normally, these motes dissipate if not used very quickly and the mote pool would simply return to its normal maximum. But if the character uses the ex...

x̄ is a character in statistics to represent the mean. When I look in the digraph table: https://vimhelp.org/digraph.txt.html, I can see the character Ā - LATIN CAPITAL LETTER A WITH MACRON, as well ā. However, I couldn't figure out how to insert x̄ or X̄

Upgrade to 10.3.1. Any clue where and what to look? Error: No service for type 'Sitecore.ContentSearch.Abstractions.IMediaFileTextExtractor' has been registered. Stack trace: InvalidOperationException: No service for type 'Sitecore.ContentSearch.Abstractions.IMediaFileTextExtractor' has been reg...

I have Kubuntu 22.04. Is there a program, script, etc. in *buntu that can rename all files in a folder with non-Latin characters to their Latin equivalent? For example, I have a folder that contains files with names like: Andúril Dúnedain Éomer and I need to rename them to: Anduril Dunedain Eomer

I'm trying to add new controls to a loop pedal that has a 3.5 Midi TRS input jack. The pedal is the BOSS RC-500 and has all the necessary features to handle incoming MIDI signals. I would like to know if a basic headphone jack (normally used for music and mic) on a laptop could send this kind of ...

I have been following a guide for making topo maps in QGIS and it has been extremely informative and helpful however it seems to have used an older version as at the end the calculation for the declination of the grid does not seem to work. I have used the Lat Long tools plugin to get the coords ...

DNA frequently comes up in discussions with theists about God and design (for context, I currently identify as agnostic). It is often compared to concepts from computer science, such as programming languages or information storage systems, which we know from experience to be designed. From this a...

I don’t understand how Kepler got the data to formulate his third law. How was the radius of each planet’s orbit determined?

Consider the following a.tex: \documentclass[convert={density=300,size=500x2000,outext=.png}]{standalone} \usepackage{tikz} \usepackage{pdflscape} \begin{document} \begin{tikzpicture} \fill[white] (0,0) rectangle (20,5); \end{tikzpicture} \end{document} Here's how pdflatex interprets this (n...

I am sorry for my poor English. If I have any problems with the expression, please point out. I will appreciate any helps. Let $H,K$ be two groups, $\varphi :K \rightarrow Aut(H)$ a homomorphism. I am interested in the influence of $ker(\varphi)$ and $im(\varphi)$ on $H \rtimes_{\varphi} K$. Fir...

When we do computations* in abstract commutative rings, we use a mental model all the time: the arithmetic of integers. After the foundations are developed, we don't really care about the specific ring axioms, especially when handling complex expressions. For abstract boolean algebras, we think o...

A second countable space has a countable basis. A weakly locally compact space has a compact neighborhood for each point of the space; in particular, every compact space is weakly locally compact. A locally compact space has a local basis of compact neighborhoods for each point of the space; the ...

I am making a project that uses a Meanwell IRM-01-5 module, which is a small SMPS in a self-contained module, which is through-hole soldered to the project's PCB. The module has several holes in the bottom, which I assumed are for ventilation of heat, but I don't really know. Should I have match...

Suppose you have two arrows t1 and t2 of the same length. What is a geometric transformation that maps t2 to t1? My code bellow generates random t1 and t2 and then makes transformation on t2 to map it to t1 (red arrow after transformation). I want the transform preferably in the form of AffineTra...

I'm learning about the design of flyback converters and noticed that optocouplers are used more often for feedback rather than primary side regulation (PSR). I understand that PSR isn't as good for voltage regulation but for single output solutions I think it would be a good option, yet it's not ...

Suppose there are two points P and Q on an elliptic curve. For it, we have two operations. Point addition $P + Q$ Point doubling $[2]P$ or $[2]Q$ Is there any way to get a reminder? P%Q or division value P/Q?

I have a set of 1G Ethernet USB adapters. To keep them organized, I wanted to label them with MAC address so I could easily identify the correct interface when more than one was connected. I plugged three of them into a Linux machine, and got three similar addresses: 20:23:51:92:5b:64 20:23:51:92...

This is part 6, see for part 5: This puzzle is delicious The answer is a highly composite number. 1st 2nd 3rd 4th 5th

This puzzle is my idea, but please note I do not have a 15/15 solution for it; I don't even know if it's possible to fill in all blanks. However I will accept the solution with the most non-blanks. For each cell in the below table, can you find an English word with one unique letter and two lette...

It says "the fog deals 2d6 points of acid damage to each creature and object within it", and I wonder if the "object" includes the objects that those creatures are holding/equipping/etc. (aka "attended object"). It would be ideal if an official conclusion is provided. I did some research but didn...

Let's take an ideal gas as an example. Usually, the gas is parameterized in two different ways - by the position and momentum of each of its particles (in the kinetic-molecular model) and by its volume $V$, pressure $p$ and temperature $T$ in general. In this case, a microstate is any particular ...

Call a finite metric space $(X,d_X)$ a distinct distance space if all the nonzero distances in $X$ are distinct, i.e., the set of nonzero distances has size exactly ${|X|\choose 2}$. The answer to the following question has implications for my research: For any finite metric space $(X,d_X)$ and ...

I am working on a project to create and launch a weather balloon with a particle detector system attached to it to measure muon flux at different altitudes. The previous project lead decided to drill holes in all of our plastic scintillators so we could bolt them to SiPMs. This is obviously going...

Imagine John Doe is incarcerated for a crime after exhausting all his appeals. Congress approves a bill, which is then signed into law, that, among a myriad of other things, sets John free. Has this ever happened?: Is this possible (i.e. within the powers Congress has to put into law)? The discus...

I want to construct a proper declination diagram for my map showing the angles between grid north, magnetic north, and true north and am unsure how to accomplish this. Edit: I am interested in doing this programmatically based on the centre point of the map extent displayed. I will be creating mu...

In Section 15.4 of Jaynes' Probability Theory the Logic of Science (pdf here: http://www.med.mcgill.ca/epidemiology/hanley/bios601/GaussianModel/JaynesProbabilityTheory.pdf), he proposes following tumbling tetrahedra: A regular tetrahedron with faces labeled e+ (positron), e− (electron), μ+ (muo...

「それで、なぜ笑顔だったんです？」 と、再び食事を始める。己との態度の差は聞いておいて本題ではないらしい。 The main character gets asked why he was smiling at the phone and his narration thinks that. In the previous sentence the main character expressed his desire to talk with his friend about their relationship, instead the friend changed the subj...

There are numerous articles online [1][2][3][4][5]][6] claiming that apples float because they are 25% air by volume. The air is claimed to be trapped in or between the cells of the flesh of the fruit. I know that there is often a space around the seeds in the core of the apple. I don't think thi...

I found some manuscripts that seem to be Medieval Latin, written in blackletters. I tried to decipher it but there are some complicated glyphs that are hard to read. What I could read are: Tam seva(?) aut(em?) illa pestis fuisse fertur que ...ĩes in via in mensa inludis subito sternuntando mo...

For a fixed probability $0 < p < 1$, let $X^p$ be the martingale that goes up by $1$ with probability $p$, and goes down by $\frac{p}{q}$ with probability $q := 1-p$. Write $X$ for the deterministic process $X_t = t$. Question: Does there exist a coupling of the $X^p$, and a deterministic subsequ...

Does "a plurality" strictly mean more than one or would it also encompass at least one? Would there be any significant difference between using "a plurality" versus "multiple"?

I am using the latest PostgreSQL docker image to create a local DB (on an Apple M1 Pro - MacOS Sonoma 14.5 machine). I create a table table0 with a single column col0 within it, and fill it with random strings of 2 to 16 characters. I create a trigram-index on col0 and vacuum (analyze). Exact st...

This is another question about definability and the complex field. It is not as trivial as my previous question, here: Is $i$ definable from the complex field structure plus a predicate for the real numbers?. Let our structure be $(\mathbb{C};+,-,*,0,1)$. Consider the complex conjugation relation...

I think the book was written the 1970's or 80's. Colonists have come to a planet and a symbiotic relationship is created with the large antlike aliens that live there. The book starts many years later and now the colonist and ants are grouped into clans with their own hives. The colonists can com...

I have noticed that some fonts in LaTeX seem a lot more "spaced out" (e.g. Latin Modern) compared to other fonts which feel more "cramped" (e.g. STIX2). This is most noticeable when comparing Palatino derivatives. For example, URW Palladio (using the mathpazo package) is more spaced out compared ...

Extended Lifespan (B53) doubles the year value for all of life's milestones for each level -- at level 1, you mature at 36 instead of 18, and don't start needing aging rolls until 100, accelerating at 140 and 180 (instead of starting to age at 50, accelerating at 70 and 90). Short Lifespan (B154)...

I am a PhD student at a US institution and I am trying to revise a recent paper that I have submitted, to address some comments we have had from reviewers. I am first author, with my advisor also on the paper; however, my advisor seems to be unhappy with the way I am trying to 'push back' against...

What part of Homer is Pliny the Elder referring to in Naturalis Historia? (On the Use of Paper) nondum palustria attingimus nec frutices amnium; prius tamen quam digrediamur ab aegypto, et papyri natura dicetur, cum chartae usu maxime humanitas vitae constet, certe memoria. et hanc alexandri mag...

Let $B, B'$ be bases for a vector space, and let $v_{[B]}$ be the coordinates of $v$ as a column vector in basis $B$. Is the basechange matrix $P$ from $B$ to $B'$ defined as $$v_{[B']} = Pv_{[B]}\tag{1}$$ or $$v_{[B']} = P^{-1}v_{[B]}\tag{2}$$ ? It seems to me both definitions are in use. For e...

I'm using the alltt environment so that I can have subscripts and superscripts with the typewrite font. However, for some reason, the font seems to be switching back to the typical italicized font unexpectedly. Included is a photo of both the code and representation in Overleaf. Namely, the s_1 p...

I have made the following LaTeX table. However, to make it work I have had to include the line & & & & & \\. If I remove the line the table adds an additional column... Here's the code: \begin{table}[h!] \centering \begin{tabularx}{\linewidth}{|X|X|X|X|X|X|} \hline \multicolumn{6}{|c|}{\textb...

According to Chapter 23 of the TeXbook, \pagecontents is defined as: \ifvoid\topins \else\unvbox\topins\fi \dimen0=\dp255 \unvbox255 \ifvoid\footins\else % footnote info is present \vskip\skip\footins \footnoterule \unvbox\footins\fi \ifraggedbottom \kern-\dimen0 \vfil \fi Is there any rea...

In 1 Corinthians 7:2, Paul uses two separate Greek words for “own.” “But because of the temptation to sexual immorality, each man should have his own [idios] wife and each woman her own [heautou] husband.” Do you think there is a reason why Paul uses separate terms, given that they both essential...

How can a Raise the Dead spell can be performed in Mage the Ascension? Considering the dead the zombie-like creature from medieval fantasy settings, with no mind, but able to follow simple commands, like "fight" or "follow them" at the command of the mage. Would it need quintessence to perform an...

We had new baseboards installed (alongside our new floor). The result looked surprisingly rough to our eyes but we have no notion about what to expect. The installer and floor store told us that this is perfectly normal -- we just have to caulk and paint. If anyone out here is knowledgeable about...

I'm trying to prepend photo DateTimeOriginal to file names, however the script can't rename? linuxmint@linuxmint:~/Documents$ ./rename_prepend_date.sh /media/linuxmint/USB\ STICK/Old\ drive/My\ pictures/IMG_0569.JPG mv: cannot move '/media/linuxmint/USB STICK/Old drive/My pictures/IMG_0569.JPG' ...

Can I become a software programmer/developer with an Information Sciences degree? Or do I need to get a computer science degree?

I don't understand much about the crystallization of DNA or the chemistry and physics behind it, so I'm sorry if this seems like a really silly question. When DNA is condensing, it wraps around histones, where it can also be methylated with the addition of a methyl group. On top of this, DNA has ...

Brachos need to be made as close to the fulfillment of the mitzvah as possible As one fulfills arba minim as soon as they are lifted then the natural place for the bracha should be immediately prior to picking them up The prevailing minhag of holding them with intention not to fulfill the mitzvah...

I am looking for the option allowing a user to measure selected objects in Edit or Object mode. It used to be in Viewport Overlays, but isn't there anymore: I would like to display the size of the objects that are selected on the screen, edge length but also object width or height, etc. I couldn...

For linear regulators with an enable pin what are the implications for toggling the EN pin to modulate the output at frequencies around 200Hz? I was thinking of using the second regulator on the FeatherS2 board to power some miniature Christmas lights (LED, around 80mA at 3V) and using the EN con...

Consider two $n$ qubit density matrices: $$ \rho = \frac{1}{N_a} \left(\sum_{i=1}^{N_a} |\psi_i\rangle \langle \psi_i| \right). $$ $$ \sigma = \frac{1}{N_b} \left(\sum_{i=1}^{N_b} |\phi_i\rangle \langle \phi_i| \right). $$ Now, let $N_a > N_b$. Is it true that the trace distance $$ |\rho - \sigma...

I need to send an email to all subscribers who are currently subscribed in a specific Child Business Unit. Our account is configured with "Subscribers will be unsubscribed from this business unit only" enabled. When I query the _Subscribers data view, it returns records from the Parent BU, and si...

In some forms of street interviews, people seem to specifically target intoxicated pedestrians, some seemingly exclusively young women, put camera and microphone in their face and try to get them answer very intimate question about their sexual life. On the one hand, interviewing people in the st...

The culture in question is a highly religious one, and has more or less shrugged off three centuries worth of secularization campaigns due to how strong their religious structures are. One of their many important dogmas are over the importance of preserving resources for the next generation, abho...

I’m currently reading "Reinforcement Learning: An Introduction" by Sutton and Barto, and I have a question regarding the computational complexity of Generalized Policy Iteration (GPI) in reinforcement learning. Is there an asymptotic bound on the number of computations required to reach the optim...

I usually work with percentages, so am not familiar with parts per million (ppm) fraction (ratio) method. My teacher taught me that $1~\pu{ppm} = 1 ~\pu{mg/dm^3}$ without proof, so I looked in the internet for proof. It goes somewhat goes like this: $1~\pu{ppm} = \frac{1 ~\pu{g}}{\pu{1E6g}} = \fr...

We see in Mtt 19:21( NRSVCE), the definitive answer Jesus gave to the rich young man who had come to him seeking eternal life: Jesus said to him, ‘If you wish to be perfect, go, sell your possessions, and give the money to the poor, and you will have treasure in heaven; then come, follow me.’....

Inspired by this question, I would like a feed-back about my interpretation of 李白’s poem 《夜宿山寺》(suggested here). 《夜宿山寺》 危楼高百尺, 手可摘星辰。 不敢高声语, 恐惊天上人。 In this poem, 李白 explains his awestruck wonder while seeing for the first time an heavenly temple, that seems to reach the stars. The first line s...

I own an italian passport and I'm planning a trip to China and Hong Kong. Being entitled to a 15 day visa-free in China and 90 day visa-free in Hong Kong, could I land in China, after 15 days move to Hong Kong and then again re-enter China and be entitle to other 15 day visa-free? And then, again...

Recently, I was trying to setup Sitecore Serialization for my Local Sitecore instance using Sitecore CLI. In one of the steps, while trying to connect to a Sitecore instance, using the below command , I started getting the below error -- dotnet sitecore login --authority https://<Sitecore identit...

I have following pin /etc/apt/preferences.d/linux-image.pref: Package: linux-image-amd64 linux-headers-amd64 Pin: release a=oldoldstable Pin-Priority: 800 apt-cache policy shows pins as expected: $ apt-cache policy | grep "Pinned" -A 2 Pinned packages: linux-image-amd64 -> 4.19+105+deb10u16...

Are there any differences in the meaning of or when we use the idioms 'play your cards right' and 'on the right track'? The definitions in the Cambridge Dictionary are: play your cards right: to do the correct things to achieve the desired result on the right track: doing something correctly or ...

Given a string and a char, Add an underline(_, which won't appear in input) before any one instance of the char, case-insensitive; In case the char never appear in the string, append the char at end surrounded by (). You can assume ASCII input, though the screenshot isn't. Shortest code in each ...

I need to position a single-column figure at the top and a double-column figure at the bottom of the same page. However, with the following MWE, the figures are not appearing on the same page as intended. I also tried with dblfloatfix with no solution. MWE: \documentclass[twocolumn]{article} \us...

I am trying to access LocalDB 2012 on my Windows 7 SP1 PC. I have successfully installed LocalDB and started the instance using the command line, and it is currently running. However, when I attempt to connect to this LocalDB instance using SQL Server Management Studio (SSMS), I receive the follo...

According to this article: https://arstechnica.com/tech-policy/2024/10/spacex-claims-starlink-can-offer-gigabit-speeds-if-fcc-approves-new-plan/ SpaceX seeks to lower its minimum elevation angle from 25 degrees to 20 degrees for satellites operating between 400 and 500 km altitude," SpaceX told ...

Would it be composition? How it's made? Or could it be made of the same stuff as regular skin but just formed in a different way? I want to describe the skin of a creature that's unnaturally smooth and stretchy, but not completely shiny like actual plastic... More matte, like dry soap. No actual ...

I use backup compression everywhere. Recently, I discovered that my backups were getting a little too big. I decided to fix this by compressing the indexes in the database (typically PAGE compression). The database got much smaller. But to my surprise, the full backups didn't get smaller! Is this...

I have just found an audio book that is aprox 50 hours in length. The books main character is a marine captain Jake. Series starts with him going into stasis in an underground test facility and waking up 100+ years later. He discovers that he is the lone survivor in the facility. To help him to t...

In CTR mode, we use the same key for each block and use the IV as a counter. Are there any drawbacks to doing it the other way around? I.e. using the key as the counter and the same IV for each block. My thoughts are that: Using a block cipher as the PRF in CTR mode means the blocks of the key s...

This is a horror quest mod for Fallout 4 - I'm stuck in the underground temple after assembling the skeleton on the altar and entering the chamber under the stairs that open. I got rid of the ghouls that started to animate in the side rooms, but I can't find anything else to do there. Rooms full ...

It is usually easy to determine which atoms are stereocenters, but determining their absolute configuration requires us to figure out the priorities of the groups attached to them. But how do we know where one group begins and ends in a cyclic compound? Consider the following 1-ethyl-3-methylcycl...

I always tell my students that I don't curve their grades, and that their final exam and quiz scores will directly determine their letter grades. I do this to avoid giving them false hope that they might still pass if the majority of students perform poorly. However, in practice, I often adjust t...

There's a scenario in the The Wolf of Wall Street movie, it talks about the trades executed in pink market, and the OTC counter charges 50% of total value as commissions. Now I'm wondering these, When you buy stock shares from a secondary market, how does the money goto the firm's account? I wan...

Consider the Dirichlet series: $$\sum_{n \geq 1} \frac{a_n}{n^s} = \frac{\zeta(s+1/3)}{\zeta(s)}$$ where $\zeta(s)$ is the Riemann zeta function. Question: Assuming the Riemann Hypothesis (RH), how can we prove that: $$\sum_{n \leq x} a_n \sim \frac{x^{2/3}}{(2/3)\zeta(2/3)} \quad \text{as } x \t...

You now often hear people talking about the body where one could say the individual or the people ("les gens" in French). I've found in Foucault's Discipline & punish the following sentence: The body now serves as an instrument or intermediary : if one intervenes upon it to imprison it, or to ma...

In our domain model "not filled in" and "unknown" are two different concepts. For example, time of death may be missing or, on the other hand, may be filled in as "unknown" How do we honor that distinction in our data model (e.g. in Oracle DB)? I figure we can reserve NULLs for "not filled". Then...

I recently recalled a memory of when I had once, a fair while ago, accidentally tried to login to the wrong (mistyped) SSH server, and it allowed me access without the correct credentials: null authentication. I thought nothing of it at the time, but thinking back: is this suspicious? Is there a ...

Let's say I have a line of lua like this: vim.keymap.set("n", "<D-BS>", function() vim.cmd(":!trash '%'") vim.cmd("bprev|bd#") end) How could I select the whole statement: vim.cmd(":!trash '%'") with my cursor anywhere inside it? Both around the parentheses and the vim.cmd part? Would this requ...

I am trying to make a radio receiver for 800 kHz AM radio signal. I connected an antenna with an LC filter circuit which is then connected to a voltage divider biased BJT amplifier whose output is connected with a diode and speaker. Will this reciever work? Will I be able to listen to 800 kHz rad...

I'm working on a small project with a local association to revive and illustrate what can be done with an Apple II. They have both a II c and e models. With the low res GR mode, I use HLIN, VLIN and PLOT to draw the logo. I'm looking at the way to do the same with the HGR. I understand that I can...

I'm looking to build up a flat-mount frame (front and rear) with Shimano Deore XT components. While there exists an in-series flat mount brake caliper for Deore XT (BR-M8110), this seems to only be meant as rear brake. Can I just go ahead and mount it to an adapter (Y-8N230000) and that to my for...

I'm considering a compressed gas whipper like this or this. They're not cheap to buy, and once they're purchased they require nitrogen, nitrous oxide or carbon dioxide cylinders to work. This has got me thinking - why not just use compressed air? Traditional, manual whisking with fork or whisk wi...

In the quiz show Pointless you get a point for every person in the survey that gave the same answer as you, and the aim of the game is to get the fewest points possible. The punishment for giving an incorrect answer is you get 100 points. However, it seems that since 100 people are surveyed, it's...

I have a number of words that I want to fit into a grid in a way that each column aligns on the left and that the entire page width (or specified width, e.g., \linewidth) is utilized. However, I don't want to manually specify the number of columns. I am looking for something that behaves like the...

There has to be meaning behind Balaam's donkey being a "she" or else they wouldn't have included that bit of information. What is the rationale for it being included?

My organization uses SSO for authentication, and it works properly except after a session timeout. Once that happens, and we're directed to log in again, SSO fails with this error: We can't log you in because of an issue with single sign-on. Contact your Salesforce admin for help. We're then r...

I'm new to this but a problem just occurred to me, I have several computers with Ubuntu 20.04, why this version? basically for compatibility of applications that are already in production. Just this weekend, 4 of them were updated to Ubuntu 22.04, which completely affected the operation of the ap...

First, some exposition: Alien A (from now on, Starfish) are a group of seven biologically immortal aquatic creatures. Their ship was built out of necessity to escape their home system (long story) and uses huge solar sails to propel a central ship, which supports an artificial ecosystem in zero-g...

I am trying to make a simple fan spinning animation for a video game but I am not exactly sure how it's supposed to spin on its own axis/pivot. As you can see the fan is looking a bit downwards. Here is what I would like to make with keyframes: But when I rotate it from the same view, it rotates...

Here is one method. \documentclass{article} \usepackage{tikz} \begin{document} \ExplSyntaxOn \cs_set_eq:NN \eval \fp_eval:n \ExplSyntaxOff \usetikzlibrary{math} \tikzmath{ \x2 = \eval{240*(5100+240)/7}; } \x2 \end{document}

I remember just a few parts of this movie that scared the bejeezus out of me as a kid. I last saw it again on TV probably 20 years later (about 35 years ago.) I swore I would remember the name of the movie, but alas no. I would love to see it again. I remember this alien creature attacking and...

I have a Santa Cruz hard tail mountain bike with 27.5 tires on a 40mm rim and I want to put smooth commuter style tires on it. I have looked at various charts and done some searching but I'm having a hard time figuring out which tires would work for this type of setup. Would I follow the general ...

I trying to resolve an issue with SMB and RSS on my Windows 10 Pro. I try to figure out how SMB detects if NIC supports RSS and uses Multichannel to decrease CPU single-core utilization. I have a case where a 2.5Gbit Intel NIC (i226-V) is installed, and the transfer from the server is not as expe...

The Hilbert Mumford Criterion as in Wallach Theorem 3.24 says: Let $G$ be a linearly reductive subgroup of $GL(n, \mathbb{C})$. Let $(\sigma, V)$ be a regular representation of $G$. For a vector $v \in V$ and $Gw$ the closed orbit in $\overline{Gv}$. Then there exists an algebraic group homomorp...

The answer might seem obvious, that some are much further away from the source of the radiation, which is mainly Jupiter, than others. Except, the difference in distance doesn't seem like enough to explain the drastic differences in the amount of radiation each moon receives. Callisto receives on...

I am writing a script for one of my requirements in Sitecore Content Hub using Scripting SDK clients. For Example: I have the following content types M.ContentType.Blog M.ContentType.News M.ContentType.Articles On the Save button click, I am executing the Action script in which I am to find the...

Both macros \tkzDrawCircle[R] and \tkzInterLC[R] give this error when using the R option which should allow to draw a circle knowing its radius. And this is regardless of how the points P, d and e are defined with \tkzDefPoint or \tkzDefPoints Package pgf Error: No shape named `5' is known. See ...

A lot of modern shooter games have an Aim Down Sights (ADS) feature, which allows you to be more accurate and see things that are farther away when aiming, all at the press of a button. I’m curious to know what the first game that had ADS is.

I am trying to draw some basic geometry pictures, as one of the examples, there are three identical circle as below, now I would like to fill the area ADB, BCE and ACF. I am trying to use buildcycle for arc AD, DB, BA, but it failed and returned nothing. Would you please help to check what's wron...

I often build appliacations where a variety of information is exchanged on top of a protocol like UART, I2C, or CAN. For example: this could be a two-wheeled robot wherein the SBC and a slave microcontroller exchange control commands and telemetry about motors and the IMU. How should I go about e...

I'm trying to upgrade from Ubuntu 23.04 to 24.04, however I get the following error. An upgrade from 'lunar' to 'noble' is not supported with this tool. After some online searching I came across this instruction https://help.ubuntu.com/community/EOLUpgrades, and I was trying to follow it. In the ...