Solve for (x,y) satisfies $$ \left\{\begin{matrix} x-y \in \left [ -1,1 \right ] & \\ 3x-4y \in \left [ 2,3 \right ] \end{matrix}\right. $$ I have try to solve this by multiplying 4 in the first inequation and subtract the 2 inequation to each other to lead to the solution $ x \in \left [ -7,2...

I'm trying to set the object origin points to $(1,1,0)$ in Edit Mode using Python using the below snippet I got from somewhere. It works correctly in Object Mode, but it does not work in Edit Mode. What did I do wrong? import bpy from mathutils import Matrix, Vector from random import randint fro...

I'm sorry, if this question isn't appropriate here, since it asks (at least partly) for opinions. However, there exists a "best-practices" tag, and I believe, the answer could be of public interest. Background In our workgroup I maintain a small bundle consisting of a class, several packages, and...

What factors determine the maximum CPU clock rate? A 6502, for instance, clocks in the megahertz range, while an Intel x64 chip typically clocks in the gigahertz range. All things being equal, if the 6502 is manufactured using the same materials, nanometer rescaling, and the same photolithography...

On the CBSA Declaration card that you fill in during the arrival process in Canada, it asks you declare "Currency and/or monetary instruments totaling CAN$10,000 or more." If someone is bringing in family jewelry, that's passed down from grandparents, and is unsure of the value, what is the best ...

im trying to build an outlier detector to find outliers in test data. That data varies a bit (more test channels, longer/shorter testing). First im applying the train test split because i want to use grid search for hypertuning. This is timeseries data from multiple sensors and i removed the time...

Demeter in his book "Fourier Restriction, Decoupling, and Applications" (P287) used the following estimate: \begin{equation} \sup_{0\leq n\leq q}\bigg|\sum_{m=0}^n e^{2\pi i\frac{a}{q}m^2}\bigg|\leq Cq^{\frac{1}{2}}, \end{equation} where $a,q\in \mathbb{N}_+$ satisfy $(a,q)=1$ and $2\nmid q$. The...

I am in a rabbit hole of what James Bond's watch preference was. I have read that Ian Flemming wanted James Bond to go with Rolex however have seen Omega watches being warn by Pierce Brosnan and Daniel Craig in their films. Any context to this would be great on what James Bond watch preference ...

Trying to ask with as few spoilers as possible. In episode 9, walks in the city and passes a building which is burning. Is this building significant in any way? Was it set on fire on purpose by someone?

I have a static class in my code that has two methods that store different data in a SQL database when they are called. In each of the methods I open a connection to the database. Is this the proper way to do it or is there a better way to do it? My Code using System.Data.SqlClient; namespace As...

I've always wondered why the typical plates bolted to rock in order to secure climbers are that thin. I imagine them behaving like a knife under a sudden load in a falling scenario. Wouldn't increasing the surface area in solid to solid contact with the quickdraw carabiner reduce this problem? Ev...

I own a baritone ukulele that I tune (lowest pitch to highest) C-G-B-D [plectrum tuning]. The lowest string, the C, is missing. I would like to order the proper string to replace it. I believe it will need to be a wound string, with a nylon core? Where can I look up the proper gauge of string...

I drill holes in cabinets or desks for electrical. I usually drill about a 3/4" hole and I have these little plastic rings I put in to protect the woodwork and just so it looks nicer. Electrical is armored... So I have seen other examples at builds and I have been a little jealous of their ri...

The Rambam states that when falling asleep, one should start off sleeping on his left side, and then switch to the right eventually, and then just rotate between those two positions for the entire night (without sleeping on your back or stomach). H. Deoth 4:5: לא יישן אדם לא על פניו, ולא על עורפ...

Cygnus is the second of the most commonly known ISS resupply freighters (the only more commonly used one is progress.) After cygnus launches aboard it's Antares rocket, it rendezvouses with the ISS, and is attached to the station, allowing for vital supplies to be unloaded from the noble ship and...

Sorry, cause I don't know if book review is allowed in the site or not. I am just starting with a position I found pretty confusing in the book. [Event "?"] [Site "?"] [Date "????.??.??"] [Round "?"] [White "?"] [Black "?"] [Result "*"] [SetUp "1"] [FEN "3r1rk1/1ppn1qp1/2n1bp1p/p1b1p3/2N1P2N/2P1B...

If the boiling point of water is at 100 Celsius, why does a hydrate need to be heated higher than that to evaporate water from the crystals? Does it have anything to do with their intermolecular forces? Thanks

Last week, I attempted to bake Gougères for the first time. It was my first attempt at baking with Pate a Choux. The recipe I followed called for six large eggs, but I knew adding the last egg would make the dough runnier than the optimal consistency. When I added the mixture into a piping bag, i...

I've seen a microcontroller (don't remember the exact part number at the moment,) that doesn't have XTAL pins. It was an 8-pin MCU - it didn't have any clock input pins on the device. How do those devices work without a clock, and with only power. How does the device start working? I understand ...

I was reading through the post Is it possible to work full time and complete a PhD and had a few follow up questions: (1) I read somewhere that one can complete a PhD without funding from a TAship or RAship, getting that funding from one's full-time employment instead. Is this allowed by most (US...

I'm not a US citizen. I have a rental contract for a shared student accommodation (en suite room). Due to unforeseen personal circumstances, I had to leave the US. Of course, I understand that I am legally obliged to honor the contract. However, now my circumstances have changed and I cannot af...

I'm planning a 14-day trip to Italy (Rome, Florence and Venice). I already bought flight tickets, hotel reservations and trains on-line using my credit card. When I'm there I'll probably spend on restaurants, public transport and attractions. Can I safely carry my Mastercard credit card only to c...

I have came across a YouTube video titled "The 1890's ~ Amazing Rare Footage of Cities Around the World". (2 mins) Now at 2 mins of this video there is footage of people sitting on a rollercoaster, however the person that owns the YouTube channel does not state which town or city the footage is f...

When I maxed out my bench press, I could lift 150 pounds. However, I only lift a maximum of 60 pound dumbbells however I try. I could not lift 65 pound dumbbells (130 pounds) but I could lift a 150 pound barbell. The movement seems to be the same and the weight is less. Why is a barbell somehow e...

I'm a beginner at Mathematica, and I'm trying to figure out how to fill between two lines horizontally. Consider the toy example Plot[{ConditionalExpression[2*x - 2, 2 < x < 6], ConditionalExpression[2*x + 2, x < 4]}, {x, 0, 10}, PlotRange -> {{0, 11}, {0, 11}}, Filling -> {1 -> {2}}] Is there s...

I'm searching for flights to NZ and back for some time in Feb-Apr next year. I've been using Matrix to find suitable dates and prices, however I ran into something that I thought was odd - the prices for round-trip were about $400NZD higher than for the two one-way flights. I found suitable one-...

Novel probably read in the last 15 years. It might be 5-10 years older, but I don't think so. Paperback published in USA. Pretty sure it was a series. The story involves ships fighting in space battles. Seems it was small engagements, as opposed to large scall battles. (fighting off pirates, as o...

I am not able to understand why the following reaction cannot occur or rather is not observed in nature: \begin{equation} d + d \rightarrow \alpha + \pi^0 \end{equation} I can see that all the quantum numbers are satisfied, but I am not able to understand why this reaction does not take place?

Pretend there is a British person in the United Kingdom (England & Wales jurisdiction), that for some legally justifiable reason needs to obtain the name (and other information) of a female adult video actress in the United States of America. The video in question is legal (all parties are 18 yea...

Why is the arc travelling so far, and what kind of vapor conducts electrons so well? https://www.youtube.com/watch?v=PXiOQCRiSp0

Why do so many apps log users out after upgrading to a new phone ? (ex: Gmail, Slack, Instagram). From a technical POV it's easy to keep the user logged in after a phone upgrade. Is there any upside to logging the user out?

$$\frac12+\frac13=\frac{3+2}{6}=\frac56$$ Ok, I know you divide then multiply. But could you explain WHY? the meaning behind it? I don’t get the whole picture.

Suppose $X$ is a Banach space with the following property: For any $x\in X$ there exists a two dimensional subspace $E$ isometric with $l_2^2$ such that $x\in E$. Does this property characterize a (separable) Hilbert space? What about the stronger property: For any $x$ and any $n\in\mathbb{N}$ th...

I basically want to do this: tail -f trades.csv | csvtool readable - I want to read a CSV file in a readable format using csvtool and I want to keep watching it. I think that command doesn't work because tail -f never signals the end of the stream so csvtool is waiting indefinitely. Surely, there...

I am studying Linguistics and for the life of me, I cannot seem to get my head around X bar theory. I have to figure out the X bar sytax tree of this sentence: "I love the cover of the book very much". I am okay with the first part of the sentence, but I never know how to include the AdvP "very much

I have this set of points: sTest={{265., -12.4317}, {269., -12.4839}, {270., -12.6383}, {274., \ -12.6947}, {278., -12.6996}, {279., -12.7755}, {300., -12.8652}, \ {309., -12.9276}, {313., -13.0571}, {314., -13.0811}, {315., \ -13.0985}, {316., -13.1501}, {322., -13.1908}, {323., -13.2129}, \ {32...

I one time heard that the reason you have בה״ב is because when the seasons change a person could get sick because of the change of seasons so we have בה״ב to daven that we shouldnt get sick has anyone ever heard of that and if yes where is the מקור

Are the categories of sets, abelian groups, and commutative rings unique? Independence results like the independence of the generalized continuum hypothesis, the Whitehead problem, and the global dimension of $\prod_{n = 1}^\infty \mathbb{F}_2$ from ZFC seem to indicate no. And yet we don't say "...

Suppose I have a sample which can decay via two processes and/or decay to two separate products, $$A \to B, A \to C$$ The total half life can be calculated $t= (t_A^{-1} + t_B^{-1})^{-1}. $ I am interested in something else though. Suppose $A$ goes through the following process: $$A\to B \to C$$ ...

In my world, people get stronger, faster, and more durable the angrier they are. There is no upper limit to strength. Therefore, in order to limit the strength of an opponent an attacker must limit their opponent's anger. I am looking for an effective way to prevent or mitigate anger. This should...

I know that if $0$ is an eigenvalue of a matrix $A$, then $A$ is not invertible, but is the opposite also true? If the matrix isn't invertible, is the eigenvalue always $0$?

How many different rectangular rooms, if any, is it possible to cover with all the 55 carpets of different dimensions 1 x 1, 1 x 2, 1 x 3,..., 1 x 9, 2 x 3, 2 x 4, ..., 8 x 9, 8 x 10, 9 x 9, and 10 x 10?

A lot of feats and prestige classes require the dodge feat, and I noticed that the Desert Wind Dodge feat says: Desert Wind Dodge can be used in place of Dodge to qualify fora feat, prestige class, or other special ability. If you already have Dodge when you select Desert Wind Dodge, you can cho...

Dr Bees likes bees. Dr Bee is not his real name, but that is how everybody calls him. I should actually say that he is obsessed with bees. Bees are his whole life. He knows everything about them. Anything anyone published out about bees, he knows. He never learned the alphabet past the second...

In the real world, combat aircraft are generally classified into two main groups; ground attack planes, which deploy weapons against land targets, and fighter planes, which are meant to destroy other aircraft. How would airplane development change when faced with a nearly entirely different threa...

Nodes that don’t know about Taproot need to be able to validate the blocks with Taproot transactions. Marking them as valid spends is the only option for not forking the network. Yet, if the transactions are valid, the old nodes have no idea where those coins got spent. Are they seen as lost coin...

Just wondering how to delete directory/file named "-f", "-r" or other using terminal.

A solar eclipse viewed from Earth reveals the sun's corona and you can only see the brightest stars from Earth. However a solar eclipse viewed from the moon would show the red ring around Earth. I have not seen an image / video of what a solar eclipse would look like on one of Jupiter's Galilea...

The Yuan-Ti excerpt in Monsters of the Multiverse states (p. 36; emphasis my own): Blessed with resistance to magical and poisonous effects by the rituals that created them, each of these yuan-ti manifests their serpentine heritage in a variety of ways: a forked tongue, snake eyes, a snakelike n...

I came up with a suitable solution to a Hackerrank problem that failed because the execution took longer than 10 seconds on lists that were of very large size. The problem: Given a list arr and an integer d, find all combinations of length 3 whose sum is divisible by d My solution: [ sum(p) %...

I have a simplified circuit to power a 12 volt fridge. I would like to add an LED to show that the fridge has been turned on. The issue is I just can't chuck in an LED because the wiring can run 10 amps. So the question is how do I add an LED on the 10 amp line without burning out the LED? Have a...

I define an ellipse by using an ImplicitRegion: R = ImplicitRegion[4 z^2 + r^2 == 10, {z, r}] I would like to get the perimeter of this ellipse. I was hoping to simply use Perimeter: Perimeter[R] However this returns "Undefined." Are there any suggestions on how to compute the perimeter of an I...

I'm stuck on what this could mean. the context is: おい、庭園や屋敷を傷つけるような真似するんじゃねえぞ？ Is the speaker implying that damage has been done by the other person before? Is this some sort of saying? I'll leave more context below if needed.

Given two compact orientable connected manifolds $M,N$ of dimension $n$ without boundary, and a continuous (or smooth) map $f:M\to N$, the degree of $f$ is defined as the integer $$ f_*([M])=(\deg f)[N]\in H_n(N)\cong\mathbb{Z} $$ where $[M]$ is the fundamental class of $M$. Suppose $\deg f\neq0$...

What is the probability of a polynomial with integer coefficients has rational roots? For some reason I feel like the probability of having rational roots assuming the coefficients are random integers would get smaller as the degree goes up. Degree 1: $ax+b=0$ always has 1 rational root Degree 2:...

This is not a religious question but moreso clarification on the word Niger in the bible. Here is Acts 13:1: Now there were in the church that was at Antioch certain prophets and teachers; as Barnabas, and Simeon that was called Niger, and Lucius of Cyrene, and Manaen, which had been brought up w...

So I am trying to use Mathematica to design a DnD alignment "editor" if you will. The input I want to be provided locally via a FormFunction and will be <|"Character"->"String" , "Shift" -> {Integer , Integer} , "Reason" -> "String"|>. I am certain I misformatted the "Shift" key, but I'm trying t...

Bayesianism doesn't seem to discriminate against ad hoc hypotheses. A simple example illustrates this. Let's assume a person tosses a coin 20 straight times and it lands on heads. He, ad hoc, starts postulating whether or not his mind somehow controlled that coin to land on heads. The probability...

This is from 《太平广记》：赐金帛，加秩二等。 The main story happened in Tang Dynasty. Su Wuming caught the thieves who had stolen from the Princess. The Queen wants to reward him by 赐(bestow)金(gold)帛(silk)，加(promote)秩(?)二(two)等(levels). My question lies in 秩, which can mean both 俸禄 (salaries from official servi...

I am used to set the Sleep mode to a certain hour to fall asleep while watching YouTube videos. I changed it regularly depending of the time I went to bed. I can't find the Schedule tab anymore in the new System Settings app, macOS Ventura, have anyone found it ? macOS 12.x (Big Sur) battery pane...

A barometer is a device that measures air pressure A microphone is a device that detects sound waves. Sound waves which travel through air. Pressure of a gas is caused by the motion of the gas. So, a barometer measures the motion of air, and a microphone measures the displacement of air, which se...

I have to check if $f(s)=s,~g(s)=e^{ks},~k\in\mathbb{C}$ are linearly independent over $\mathbb{R}$. The wronskian is $W[s,e^{ks}]=e^{ks}(ks-1)$. Then, if we take $s=1,~k=1+0i$, it becomes $0$ and hence, it is not linearly independent. Is my reasoning correct?

Some linear regulators are marketed as "adjustable", but all linear regulators create a specific voltage in relation to their ground pins. Since the ground pin voltage can be offset from the circuit ground, e.g. by using a Zener diode or a feedback voltage divider, can't we adjust any linear regu...

Leap years are determined by a scheme in which every $4$th year is a leap year, but every $4\cdot 25$th year is exempted, but every $4\cdot 25 \cdot 4$th year is reinstated $\ldots $ and there we stop, because that's good enough in practice to approximate the actual length of a year in terms of d...

I was reading a book by Simon Haykin on neural networks when I came across the following strong statement (on the pdf's page 188): "However, we still have a computational complexity that is $\mathcal{O}(W^2)$, where $W$ is the size of weight vector $\mathbf{w}$. Quasi-Newton methods are therefore...

People have been stealing catalytic converter’s from cars in New Jersey recently. Why are people stealing this specific part all of a sudden. It happened to my 4 people on my parents street. Wondering why this is the new thing and why they are specifically targeting Toyotas and Hondas?

In this video doctorphys gives a proof for the general form of a wave. With that I was convinced that equation of a travelling wave can be, $$\psi(x,t)=A\sin(kx-\omega t)+B\cos(kx-\omega t)$$ Where $k$ is the wave number, $\omega$ is the angular velocity of the wave(As per the video). And $x,y$ a...

I have a bicycle with lights and a hub Dynamo. I am looking for generic answers which applies to more setups but if that's not possible, the bicycle I have is a Stevens Randonneur 2021. https://www.stevensbikes.de/2021/index.php?bik_id=126&lang=de_DE My bicycle lights can be turned off using a sw...

The other day I was reading a paper on IEEE. To access the paper I needed to sign in through my institution. On the bottom of the paper, it read: Accessed through [my institution name] at Oct 24, 9:30 PM Will my institution be able to see all the papers I'm reading?

The first time I made this recipe written a few months ago, it worked perfectly. But I've tried making it again two times after that, and it's failed both times. The first time, the cookie was perfect - great texture, great taste, and amazing gooey pockets of chocolate. It looked exactly like the...

Recently, I've been hearing a good deal about hardware tricks. For instance, the YouTuber Ahoy (see A Brief History of Graphics) mentions that some game programmers resorted to "hardware tricks" to diversify the gamut of colors on the screens of console systems using mode 7 (I'm assuming that's m...

I'm remortgaging and doing a transfer of equity of my main home. My lender's solicitor has asked me to give certified copies of my photo ID and proof of address. I asked them if I could do it at the Post Office, and they said no, it has to be a solicitor, accountant, bank manager or financial adv...

Once in a while I’ll wake up to a lovely charley horse (or muscle spasm) in my calf. What is the best stretch or exercise to do immediately following this?

My Scrum team who works within the SAFe framework raised an issue with technical leadership and decision making and I realised I have no answers or ideas. Our unit has a very "flat" hierarchy and there is therefore no Engineering managers, Tech Leads or Engineering leaders. My team (one of 7 team...

Ideally, in all analysis, one would like to be completely objective and unbiased. Is this possible? What are the indicators that my view is not objective or unbiased?

Inside of the GBCs Cartridge header there is the metadata for the game and the Nintendo logo. The program that runs on boot (the BIOS or Boot ROM) checks the checksum of the Nintendo logo, and always has, but in the GBC Boot ROM, I noticed an interesting update. Now, the Boot ROM checks the title...

I'm making a "bom" list entry into the "materials" table. I bring the materials defined for the product group to the grid so that users do not forget the relevant material. Users define through this template. But they add extra material (other than the group template) if they want. If there is a ...

I have a file with lines similar to the following (unfortunately, this is the only format in which another software outputs results): 1 2 3 5/2 7 17/5 9 10/3 15 I need to replace it with the following line: 1 2 3 2.5 7 3.4 9 3.33 15 In other words, I want GAWK to do the division a...

I'm checking new Data Views _AutomationInstance and _AutomationActivityInstance. In the first of them I found a typo in Salesforce documentation. On the page we can see AutomationNotificationRecipient_Compete, but this column name is AutomationNotificationRecipient_Complete. But I see also an err...

I'm new to C++. How to make a menu without if() {} else {} & switch() case? I made a menu on an array, but for some reason it doesn't compile. How to correct it? typedef void (*cbd)(uint8_t, uint8_t); typedef void (*cbt)(uint8_t, uint8_t); typedef void (*cba)(uint8_t, uint8_t); typedef void (*Men...

If someone doesn't know the password required on boot, is there a way to access the data on the device? It should be encrypted, but I read about Samsung adding something called Maintenance Mode where you can prevent repair techs from accessing your data. From this I assume it's otherwise possible...

The goal is to make vectors bold italic using the command \symbfit from LucidaBrightMathOT.otf. However, \symbfit does not work for digits, as in the following example. \documentclass{article} \usepackage{amsmath} \usepackage{unicode-math} \setmathfont[]{LucidaBrightMathOT.otf} \renewcommand{\vec...

I'm learning differential forms (via the excellent book 'A Visual Introduction to Differential Forms and Calculus on Manifolds' by J. P. Fortney). One operation I'm not 100% I understand how to parse is the notion of multiplying a form, say a 2-form, by a function e.g as in Question 3.31 in the b...

I have a glmer with a binomial response variable and two binary predictor variables, where there are no observations for one of the four groups. I used emmeans to calculate confidence intervals, and for this group obviously the mean and variance are zero. The model predicts a CI from 0 to 1, and ...

In this scenario a kingdom that has not yet invented black powder has been invaded by an enemy that possess cannons and matchlocks. Since the invaders are few in number the defenders managed to beat them back and steal a large cache of powder. They are extremely concerned that the invaders will ...

I am trying to generate a normal map from voronoi texture + bump but its resulting in blank normal map. I am just a beginner in blender and I am pretty sure am missing out on some of the basic things here but I can't figure it out for 2 days. Left one is the source for baking normal map. But as y...

Consider two tables Tab1 = Table[{{RandomReal[{0, 1}], RandomReal[{0, 1}]}, {RandomReal[{0, 1}], RandomReal[{0, 1}]}, {RandomReal[{0, 1}], RandomReal[{0, 1}]}}, {i, 1, 5, 1}]; Tab2 = Table[{{RandomReal[{0, 1}], RandomReal[{0, 1}]}, {RandomReal[{0, 1}], RandomReal[{0,...

When you are sure you want to use a bus in Paris, France, you can buy a ticket in advance, they use the same tickets as the Metro. As I will only be in Paris for this one cross city connection and not likely to return in quite a while and I prefer to walk the distance, I would like to avoid buyin...

To have /tmp on tmpfs, I know I can use an entry in /etc/fstab, but I do not understand the role of /etc/default/tmpfs mentioned sometimes, and in what case I need to create or modify it. Recently, I often see suggested to use systemd tmp.mount confuguration. For example, on Debian: $ sudo cp /us...

In this answer a quote from Horace's, "Satire of Persius" (Satires 4, line 47): "...si facis in penem quidquid tibi venit...", was translated by Tyler Durden to: "...and come to do whatever your prick suggests...". (The only translation I could find, on the net: "...if you follow your prick..."

I'm studying newtonian dynamical systems and they can be described by the differential equation $$1)\space m\ddot{x} = F(x)$$ supposing $F$ sufficiently regular we could define the potential $V$ as its primitive so $$2)\space F(x) = -{dV\over dx}$$ We can also define the energy of the system $E$...

I am trying to evaluate the Hartree--Fock exchange energy density on grids in pyscf with an instance of class "UKS", in order to test some functionals depending on the exchange energy density such as Becke05. I have noticed that there is an example in 31-xc_value_on_grid.py, but it seems that the...

Consider a vector vec[x_,y_,z_]={x^0.5*y^0.1,y^0.3*z^0.1,z^2*x*y}; I need to calculate, say, a table with vector values for the coordinates tabscord=RandomReal[{0, 1}, {10^7, 3}]; I would like to use Compile. This is my realization: tabcompiled = Hold@Compile[{{tabscord, _Real, 2}}, Table...

I have two systems of (polynomial) equations for the same positive real variables a,b,c,d,e,f. Suppose that using Reduce I found that the first system's solution domain is given by d1 = (a/b == c/d && e/f == c /d) whereas the second systems' solution domain d2 = (a/b == c/d && e/f == a /b) (a...

I noticed that when using AES-256-CBC with a 128-bit IV, the ciphertext is always at least 16 bytes long (size of IV). I also noticed that when using AES-256-GCM with a 96-bit IV, the ciphertext size can be smaller than the IV. Normal? Why?

As I understand it, USB memsticks (and memory cards) use the same basic technology as SSD disks. But then why does CrystalDiskInfo detect and show all kinds of information for all my HDDs and SSDs, but not for my memory sticks and memory cards? Is the answer that, for some reason, USB memsticks a...

There is some kind of plastic coating over my drain that is peeling and needs replacing. I can't work out what kind of product I would need to use to recover it to protect the plug and would appreciate any advice!

We are currently using a nichrome (80/20) wire based heater to surround a sample chamber that we wish to heat by radiation. Maximum sample temperature is 400degC in an atmosphere of air that may be high humidity. That means the wires get red hot. Our specific problem is that there is corrosion oc...

This question is a bit long, but people often prefer to have all the details instead of being required to ask for them, so I've included as much detail as possible. I received a frantic call from a friend who had just accidentally deleted their Desktop folder in Windows using shift+delete. Appare...

Maybe stupid question, but to my understanding, the Einstein equation tells us the differential equation governing the Geometry of spacetime. That's all good and fine , but suppose I had an actual particle with some forces acting on it, how would I find it's trajectory? Would Newton's second law ...

I want to achieve the following: I have a more or less complex but flat mesh without much details representing the hull of an office building. I want to add details like windows, blinds and other structures by using geometry nodes (maybe there are other ways, but I use this as well as a project t...

So The end of my rear derailleur shifter cable is stuck in the shifter. Is it even possible to get out? See the picture below. Shifting up and down doesn't really do anything to its position. Edit: I got it a bit further. Seems like it only needs to shift up one more time before I can pull it ou...

I can find fat arrows and thin arrows, I can find fancy curly arrows that start thin and get fat, All I want is a basic arrow that is thick at the origin, and thin at the other end, indicating that we are going "from" a "larger" space "to" a smaller space. For use in something like a commutative ...

I had a lecture on BigO notation, and I received a problem set to solve, but unfortunately we always get harder examples to solve that those presented(those which are presented are always some basic cases) during the lecture. Here is the actual question: check if: $2^n = O(n^2) $ For sure it's ...

It is a Windows command line utility for counting lines of code in a source code directory. It will count loc and sloc. I read from a file character by character using fgetc in the CountLines(...) function. I set a buffer size of 4096 bytes. Observed speed is not much different from the default c...

A scheme is equivalent to a functor $\mathcal{F}:\textbf{AffSchemes} \rightarrow \textbf{Set}$ such that it admits a cover of affine schemes and is a sheaf of rings on the Zariski site. Suppose $\mathcal{C}$ is a subcategory of $\textbf{AffSchemes}$ and $\mathcal{T}:\mathcal{C}\rightarrow \textbf...

Let $K$ be a global field (ie either a number field or the function field of a curve over a finite field). Let $A,B$ be abelian varieties over $K$ and let $\phi:A\to B$ be an isogeny. Associated with $\phi$ is the well-known Selmer group ${\rm Sel}(\phi)\subseteq H^1(K,{\rm ker}(\phi))$, which co...

In Agents of S.H.I.E.L.D., and again in WandaVision and Doctor Strange in the Multiverse of Madness, the book called "the Darkhold" is used and heavily affects the plot. However, they both have different appearances, as seen below: What is actually different about these two books? It seems as if...

In the late 1990s/early 2000s I read a story in a sci-fi anthology about a soldier who participates in a drop-assault battle on the Moon. IIRC, the assault force deploys via dropship in the Sea of Tranquility and is assaulting the heights where the enemy is. One side is described as "rebels" but ...

I have some basic lack of understanding how Mathematica works. Could you please explain to me the following behavior or point me to a resource that will let me understand. vs = {a, b}; Resolve[ForAll[vs, vs \[Element] Reals, Equivalent[a < 0 && a == b, b < 0 && a == b]]] (* ForAll[{vs}, Elemen...

I have two very simple polygons. a = Polygon[{{2, 0}, {2, 100}, {502, 100}, {502, 0}, {2, 0}}] b = Polygon[{{202, -200}, {202, 296}, {300, 296}, {300, -200}, {202, -200}}] I wish to produce a new polygon which (for example) describes their union as pictured above, but is expressed as a single...

I am doing some proofreading and have a question. In the following line of a poem, should it be who or whom? It's talking about monsters and the fact that they have a lot of options as to who they choose to eat so they can grow larger. The line: So many decisions of who to choose so they can grow,

Say I have sets = {{a,b},{c,d},{e,f}} and I want to compute a sum like f[a,b] + f[c,d] + f[e,f]. One way to do this is to do Sum[f[sets[[nSet]][[1]], sets[[nSet]][[2]]], {nSet, 1, Length[sets]}] but this makes the notation cumbersome. It would be ideal to do something like Sum[f[set[[1]], set[[2...

I am working on parameterized complexity and started exploring on various structural parameters. The problem I am working on is known to be W[1]-hard parameterized by treewidth of the input graph and I am wondering if there is any known relationship between treewidth and maximum degree of the inp...

The Wikipedia article on Physical Quantities, says that: The meaning of the term physical quantity is generally well understood (everyone understands what is meant by the frequency of a periodic phenomenon, or the resistance of an electric wire). The term physical quantity does not imply a physi...

I am trying to adapt the ''Plane partition'' example by Jang Soo Kim to draw plane partitions without lines in between the cubes. I have tried to do so by giving these lines the same color as the faces of the cube. That is, I replace ''draw=black'' by e.g. ''draw=yellow'' for the top face of a c...

I recently moved to another internet provider who provides FTTH (Fibre To The Home). Now my powerline adapters are incapable of taking full advantage of the increased speeds. I'm currently using Wifi and losing some speed, and don't really want to run CAT5 cable throughout the house. Consideratio...

I played a match on MTG Arena where, to my surprise, effects got resolved in my favor. I had a Vorinclex, Monstrous Raider on the battlefield and my opponent cast Verdant Rejuvenation. They pulled a bunch of sagas and their own Vorinclex, Monstrous Raider. At the moment my expectation was each Vo...

Would you tell me which one is more correct and naturar: drive in a car or drive with a car? For example: Because my car broke down, I had to drive home in a rental car. Because my car broke down, I had to drive home with a rental car. I haven't been able to find an answer on the internet, but ...

I got 20 kg of LEGO bricks from family friend. I found a lot of original sets, but these are still unknown.

I'm looking to place an equation between so called "banana" brackets, that look like the ones in this question. How can I do that?

In the following diagram, I want the node containing the label "P" to be placed at the other endpoint of the gray line segment. Why is the "P" being typeset at the origin? \documentclass[10pt]{amsart} \usepackage{mathtools,array} \usepackage{tikz} \usetikzlibrary{calc} \begin{document} ...

I was wondering out of the functions (MD5, SHA-1, SHA-256, and SHA-512), do all provide 128-bit pre-image resistance and 128-bit second-image resistance? Also, out of these hash functions, do only SHA-256 and SHA-512 provide 128-bit collision resistance? (Due to $l/2$ bits of security)

In the USA, as far as I know, the main grants available to mathematicians are collected on the NSF or the AMS websites [please, correct me if this perception is inaccurate]. On the other hand, for European countries for example, the situation seems to be much more scattered. In addition to the va...

I know a longer name is "The Order of the Seekers for Truth and Penitence," but I remember there being an even more formal name mentioned at one point. Something that is like the "The Fraternal and Beneficent...." Or am I misremembering?

By definition, a pure function is deterministic + no side effect. Is there any example for a function which has no side effects, but is non-deterministic? I.e., a function without side effects, but not pure. To me non-deterministic function comes from randomness. But random generator has side eff...

This determined at once the strength and the weakness, the achievement and the limitation, of the materialist theory. What pushed that theory forward was, so Engels writes in Ludwig Feuerbach, "the powerful and ever more rapidly onrushing progress of science and industry". Materialism and the D...

According to this Financial Times movie, the UK has been significantly economically impacted by Brexit. According to them, this became clearer after COVID had been largely contained, but its economic consequences are still combined with those created by the Russian invasion of Ukraine: The UK's ...