So far In my research I have not found any estimates for the speed that a solar sail spaceship could be propelled to using a Dyson beam. I have not decided what mass the ships will be that I want propelled as although a Dyson beam would be very powerful, the mass of the ship may make other propul...

Let $\tau\geq0$ be a stopping time, $\mathbb{E}\tau<\infty$. Show $\{\tau\geq k\}\in\mathcal{F}_{k-1}$. Based on the identity $$ |X_{T\land n}|= \bigg|\sum_{k=1}^n(X_k-X_{k-1})\cdot\mathbf{1}\{\tau\geq k\}\bigg|\leq\sum_{k=1}^n|X_k-X_{k-1}|\cdot\mathbf{1}\{\tau\geq k\} $$ show the following: If...

I am interested in a property of Pochhammer Symbol. So I need an information about it. Let $a^{\bar{n}}$ Pochhammer symbol or rising factorial. As you know in the literature $a^{\bar{0}}=1.$ I want to ask in a special case of $a=0$. For instance whether $0^{\bar{0}}$ or $0^{\bar{5}}$ are defi...

Simply, calling an elf an elf a dwarf a dwarf in non-defamatory non-insulting way. Is it justified to call this out as racist language in a DnD game? More specifically, we have a player, that whenever notices that a character/NPC is addressed by their race, shouts "racist!" followed by a prolonge...

Say I have this array: array = np.array([[1,2,3],[4,5,6],[7,8,9]]) returns: 123 456 789 How should I go about getting it to do something like this returns: 111222333 111222333 111222333 444555666 444555666 444555666 777888999 777888999 777888999 I don't know what to google to get an answer as ...

How to get smarter? easy! poke 2 holes in your brain and build a computer around the holes, the computer reads data from some usbs and sends the information to your brain, remove the usb and you also removed the information, carry enough usbs and you will hold potentially infinite knowledge in yo...

Whilst acquainting myself with the fundamentals of $C^*$-algebras and their $K$-theory, I read about how Gelfand Duality allows various $C^*$-algebraic concepts to be directly translated into a geometrical/topological context and vice versa. I briefly relay my current understanding of Gelfand dua...

The 3x6 matrix G is as follows, $\text{G} = [\text{V}_\times| I_{3\times3}]$ $\text{V}$ is a skew matrix of a vector with 3 elements about a 3D point. The dimension of $\text{V}$ is 3x3. $I$ is the 3x3 identity matrix. I think the vertical line between $\text{V}$ and $I$ is used to concatenate th...

The unsolvability of a general quintic equation in terms of the basic arithmetic operations and $n$th roots (i.e. the Abel–Ruffini theorem) is considered a major result in the mathematical canon. I have recently become confused as to why this is the case. The formula $z=\frac{-b+\sqrt{b^2-4ac}}{2...

https://stackoverflow.com/a/7451478/15603477 I understand grep -A1 'blah' logfile | grep -v "blah" but I don't understand sed -n '/blah/{n;p;}' logfile So far I checked manual sed command line option page: https://www.gnu.org/software/sed/manual/html_node/Command_002dLine-Options.html. There is ...

I am trying to re-create a skirt like the grey one above with the blue shirt, I have already run a cloth simulation, but I cannot get the shape to look right on my version of the skirt. Everything looks very flat because I am only using two planes (subdivided) I can provide the blender file upo...

I am fairly new to Python, C# is what I usually code in. I have the following: https://www.youtube.com/embed/FjHGZj2IjBk?controls=2&fs=0&rel=0&modestbranding=1&showinfo=0&autohide=1&iv_load_policy=3&cc_load_policy=0&autoplay=0 And I want to convert it to: https://www.youtube.com/watch?v=FjHGZj2I...

QGIS changes map canvas scale while resizing the panels. I use iface.mapCanvas().setScaleLocked(True) to lock the scale. Is there a manual option to lock the scale in "Settings"?

There are many benchmark sets in different branches of computational chemistry and physics, that are frequently used to assess the "average error" of a method for a certain property, on a certain set of systems. For example, the GMTKN benchmark sets of the Grimme group, the benchmark set compiled...

Can someone ask about past business events on Shabbos? An example would be: I bought an investment property two years ago for a crazy good price because the seller just wanted to offload the property asap.

Running the input \score { \relative c' { <c d f g b c>4~ 4 } \layout { \context { \Score \override SpacingSpanner.base-shortest-duration = #(ly:make-moment 1/16) } } } through Lilypond results in the following output: The ties between the Bs and the Gs cross...

Let $X$ and $Y$ be topological spaces; let $f:X\to Y$. Then the following are equivalent: (1) $f$ is continuous (2) for every subset $A$ of $X$, one has $f(\overline{A}) \subseteq \overline{f(A)}$. (3) for every closed set $B$ of $Y$, the set $f^{-1}(B)$ is closed in $X$. (4) for each $x\in X$ a...

In Babylon 5, the Shadows used what looks like a completely different system for interstellar travel compared to the other species. While almost every species required either jump gates or creating a jump point (even some of the ancients), the Shadows seemed to just fade into space. When leaving ...

Computer memory used to be a limited and expensive asset for a long while (for example, in computers with 16KiB RAM or less, compared to the 2 MiB of my first PC (a 486) in 1995 and current day's gibibytes). I guess this was mostly between the 60's and the 80's, if you limit the issue to personal...

My son sent me this picture of an old voweled text, probably around 10-12 centuries CE. What stands out, is that the letter He is connected and Chet is flat on the left side. Is this a fragment of a Torah scroll or a Chumash? What kind of Ktav is it?

Inspired by this question I am trying to solve the following PDE numerically on $x \in [-3, 3]$ and $t \in [0, 0.5]$ using NDSolveValue: $$ \frac{\partial p}{\partial t} = (12x^2-4) p + \left[4x(x^2-1)+0.1\right] \frac{\partial p}{\partial x} + \frac{1}{\beta} \frac{\partial^2 p}{\partial x^2} \\...

It’s two studs long and has the grab circles on one side

Looking at different fragments of ancient and contemporary scrolls, I wondered What are the considerations of determining the length of a line in Torah scroll/Chumash? Dead Sea Scrolls the Damascus Pentateuch Contemporary Kosher Torah scroll

In Harry Potter and the Chamber of Secrets it is written that Harry's wand is locked up with the broom in the cupboard: All Harry’s spellbooks, his wand, robes, cauldron and top-of-the-range Nimbus Two Thousand broomstick had been locked in a cupboard under the stairs by Uncle Vernon the instant...

I have a column in an Excel spreadsheet that contains monetary values, most of which are zero. I want to hide the zero ones, but keep the non-zero ones formatted as currency. This Microsoft page shows how to hide zeroes, but it leaves the non-zero values as integers. It doesn't explain how the ti...

I am new to Aura, and I am stuck on how to proceed with the task given. Actually, in the Init method, there are many chaining that should be optimized. My controller class doInit: function (component, event, helper) { helper.getMetadata(component, event, helper) .then(function () { return h...

I'm don't have a background in chemistry but I've been doing a project on computer aided molecular design and one of the resulting molecules was: I'm having trouble naming this molecule let alone research if it is viable. I would appreciate any help in either naming or disqualifying it as infeas...

Here is a sequence of numbers: 0, 2, 4, 6, 8, -, -, -, 10, 12 Can you fill in the three blanks and thus reveal your excellent puzzle-solving ability?

In the entry of the Gaffiot dictionary for "compositio", there is a reference to Cicero De legimus (Liber II [55]). However in this passage, according to Wikisource, Cicero wrote "conpositio" (that is with a n and not an m before the p). What is the correct form?

Currently I have this script.(IMAGE) but also attached the blend file for better understandingenter image description here https://www.mediafire.com/file/fjg3ger7lbukmlk/Text_s.py/file https://www.mediafire.com/file/lr8yc0cttw3nkgh/test.blend/file So what My code basically is doing for a selected...

I bought a new NVME SSD to use as my primary/boot drive. My old SSD is going to still be in my PC and be used as extra storage. I installed the NVME SSD into my PC. It doesn't show up in my file explorer, but it does show up on disk manager. It says that the drive is not initialized and it asks m...

I am aware that soundpost should be adjusted by a professional luthier when the violinist desires e.g. brighter sound. But as a beginner, I don't think it is relevant for me for now. Does the fact that the soundpost is standing indicate that the soundpost does not require any extra adjustment (ev...

Let's say I have $N$ covariates in my regression model, and they explain 95% of the variation of the target set, i.e. $r^2=0.95$. If there are multicollinearity between these covariates and PCA is performed to reduce the dimensionality. If the principal components explains, say 80% of the variati...

So I've made my customized alias command and tried to use it with alias, but I've my alias was not recognized while concatenated with watch command. So I tried to make a thread of it and fortunately this one helped me out. But what is the reason of this? I've created an alias in my .bashrc which ...

In my story giants are about 13-14ft tall and weigh usually a little bit more or less than 1,000 pounds. Giants communicate through stomping their feet, and while running or walking through modulations of the footfall. Though while doing this the it would be the equivalent of being gagged while t...

I did see this question: Manifold pressure vs power vs rpm But I'm still a bit unclear about the following. I've only flown cherokee pa28s, so I might not have empirical knowledge of the following. I have a throttle lever in the plane which if I push up, the RPM goes up and it seems like propelle...

I was recently watching Jason and the Argonauts from 1963 and I happily looked forward to the skeleton swordfight However it was very different from my memories (from watching it about twenty years ago) The scene I remember there was at least double the number of ...

SQL beginner here, so bear with me please. Let's say I have a simplified table songs looking like this id title 1 Villain 2 More 3 More (Laszlo Remix) I also have a table songartists: song_id artist 1 K/DA 2 K/DA 2 Seraphine 3 K/DA 3 Seraphine 3 Laszlo Let's ...

I observe that a lot of people interpret that the rider on the white horse is Jesus Christ. I used to hold to this view, but when i study the rider in more detail, i am not convinced that the rider is Jesus Christ. I think he could be a representative of Christ. My reasoning for my view that he m...

In an alternative universe with alternative physics; light, by default, is everywhere at all times. Rays of 'dark' from a dark sun, are initially the only way to dispel the light. This provides day and night on a planet orbiting the dark sun. When the 'sun' is in the sky, it radiates dark and pro...

Bosonic Case In a bosonic QFT, the Hilbert space associated to a surface $\Sigma$ is the appropriate space of wavefunctionals on $\Sigma$. Hence, if $\Sigma=\Sigma_1 \sqcup \Sigma_2$, we find that the Hilbert space naturally decomposes as $\mathcal{H}_\Sigma = \mathcal{H}_{\Sigma_1} \otimes \math...

The following code: \documentclass[a4paper]{article} \usepackage{mwe,array,booktabs} \usepackage[margin=2cm]{geometry} \usepackage{caption} \captionsetup[table]{skip=5pt} \usepackage{chemfig, chemformula} \usepackage{enumitem} % nuevo paquete 07/Feb/2021 \usepackage{fourier,makecell} % Nuevos ...

My Ubuntu 21.10 server has no internet. Unfortunately, main package to detect route issues and other network problem missing in distribution. Therefore I can don't know what real route has my server because route command is absent. However, now I can see my server from other peer bridge. I want t...

I've been digging into some very interesting, related questions from the past (the one I found the most useful was this one) and I don't think anything covers my question. So if I missed it, please do let me know. To provide some background, I have devised a relatively simple "magic system", in w...

When filling a check, I wrote the numeric value correctly. However, I wrote "$" before the numeric value (while the check itself has "$" symbol printed at the beginning of the numeric box). Will the bank accept the check or should I write a new check?

I'm having a hard time understanding why \begin{equation}\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial x}=-1 \tag{1}\label{1} \end{equation} Wikipedia provides this derivation. I have two problems with it. The proof starts by stating that there is a functio...

I recently learned from a comment by MathOverflow user pregunton that it is possible to enumerate all rational numbers using iterated maps of the form \$f(x) = x+1\$ or \$\displaystyle g(x) = -\frac 1x\$, starting from \$0\$. For example, $$0 \overset{f}{\mapsto} 1 \overset{f}{\mapsto} 2 \overset...

I would like to make my roth contribution for 2022 as early in the year as possible. There are contribution limits based on Adjusted Gross Income. None of the sources I've read made it clear if it's the AGI for the contribution year, or from the year before. To be clear, if I'm contributing in 20...

Consider a geometric Brownian motion described by the SDE: $$dS_t = \mu S_t dt + \sigma S_t dB_t$$ where $B_t$ is a Brownian motion and $\mu$ and $\sigma$ are constants. We have that: $$d(\ln S_t) = \sigma dB_t +\left(\mu - \frac{\sigma^2}{2}\right)dt$$ from which we immediately obtain: $$S_t = S...

I was told in my class that "They flee from me" is written in iambic pentameter, except for line number 6 in the second stanza in iambic tetrameter. However, some lines in my textbook have more than 10 syllables. They flee from me that some-time did me seek (this is fine) With na-ked foot stalk-...

Topic: D&D 5e character generation methods TL;DR: Is this imbalanced for character generation? Roll 20d6, drop 2 lowest, assign groups of 3 dice for stats. Context: We have tried multiple character generation method in our group and I have come up with a system (emphasis not on me inventing, migh...

I had a math question and I went to my professor's (now a professor at Harvard) office hours (this was a really long time ago). I asked him and he said, "It's obvious!" I sort of said, "OK." I never did figure out the answer to the question...

God created people with free will, and some of these people will freely choose salvation, while some others will freely choose to reject salvation. God could have chosen to create only the subset of people who will freely choose salvation. It seems to me that 2 is preferrable to 1, and it is ...

Is the original owner entitled to their property back while I am entitled to recover the sum paid for it from party A, or does the item somehow become rightfully mine, or... how does this all work?

I wanted to ask regarding the linearity assumption of the logistic regression, is the assumption between A) independent variable (e.g. pre-score) vs logit of the outcome? or B) predictive probability of the independent variable vs logit of the outcome? Below is my R code regarding this problem. A...

I'm confused about the figures in a Berkeley tutorial, which depicts fibtree(2) as and fibtree(3) as I thought fibtree(3) looks like the following the figure is adapted from another stackoverflow post. Do I misunderstand something? Or it is just the Berkeley tutorial misusing the figures?

TL;DR: Do I need to avoid clipping on my AD Converter as well as the input in my DAW when gain staging? how much headroom should I leave on a track once it leaves my Preamp, and hits my AD Converter ins? Even though it was clipping on my AD Converters, it sounded full and warm to me? What's the p...

Recently, I tested two methods after embedding in my data, using Keras. Convolution after embedding Maxpooling after embedding The first method's loss and validation loss are like, The second method's loss and validation loss are As you can see, the first one reduces the loss a lot for the tr...

I have an old iMac with the specs below. I want to install the most recent OS available for this machine. I want erase all existing data and accounts on the machine. I do not have admin access. I have an apple id, not associated with this machine. If Yosemite 10.10.5 is the most recent that can b...

I understand how to speedflip but what makes you go much faster than just normal flipping?

I have this figure and I would like to crop the extra lines of the connections. Here is the code: \documentclass{article} \usepackage[utf8]{inputenc} \usepackage[a4paper,left=1.5cm,right=2.5cm,top=2.5cm,bottom=2.5cm]{geometry} \usepackage{tikz} \usepackage{mathtools} \usetikzlibrary{shapes...

I have a piece of software that I want to install that's distributed as a "flatpak". However, after installing the flatpak system in my Ubuntu Mate 20.04 system, it fails to load the package I want to use. I get this error: $ flatpak install chirp-daily-20220103.flatpak Note that the directorie...

While reading the paper Seifert Fibred Homology 3-Spheres and the Yang-Mills Equations on Riemann Surfaces with Marked points by M. Furuta and B. Steer, I stumbled upon the following statement: Any compact orbifold Riemann surface, with $n\geq 3$ singular points or $n=2$ and $\alpha_1=\alpha_2$ ...

In "Blowups Happen" characters discuss evidence that a civilization once existed on the Moon. Intelligent Venusians or Venerians are seen in "Logic of Empire", different from those in Space Cadet, Between Planets, or Podkayne of Mars. Martians are mentioned in several stories, but never described...

I have a $8\times 8$ matrix, whose 2,3,5,8-th row and columns are zero: mat = {{1/2, 0, 0, 0, 0, 1/2 E^(-I t w1), -(1/2) E^(-2 I t w1 - I t w2), 0}, {0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 0, 0}, {-(1/2) E^(I theta1 - I t w2), 0, 0...

I'm designing half of an object and then using the mirror tool to make the other half. When I try to smooth the design using the shade smoot tool it leaves a large divot along where the two halves meet. I have tried the other shade tools and they don't work as well as shade smooth for me. How do ...

error.txt content: KEY 4048:1736 string 3 KEY 0:1772 string 1 KEY 4192:1349 string 1 KEY 7329:2407 string 2 KEY 0:1774 string 1 https://www.tecmint.com/use-next-command-with-awk-in-linux/ https://stackoverflow.com/a/32482224/15603477 https://stackoverflow.com/a/9605559/15603477 trying to underst...

I have a 433MHz receiver placed near a 2.4GHz sender, and they have about a 20cm gap. When 2.4G is actively sending, the 433M receiver can't hear anything from the 433M sender (433M receiver been jammed by 2.4G sender) and vice versa. Can I put an RF filter on receivers to solve this problem? (Hi...

Ich übersetze gerade eine User-Interface/Benutzeroberfläche und bin auf eine Frage gestoßen, die mich schon länger beschäftigt hat – ich vergesse halt immer, sie zu stellen. Bei vielen User-Interfaces sieht man Tasten, die ihren Vorgang mit dem Infinitiv beschreiben: Fortschritt zurücksetzen, Dat...

I am counting the centralizers of a matrix over $\mathbb{F}_5$ with minimal polynomial $x^3-1$. In rational form it is $A=\begin{pmatrix} 0 & 0 & 1 \\\ 1 & 0 & 0 \\\ 0 & 1 & 0 \end{pmatrix}$. I used a cumbersome way, using the fact that the matrix that commutes with $A$ must have the form $B=\...

I would like to calculate a quadratic form: x' Q y in Julia. What would be the most efficient way to calculate this for the cases: No assumption. Q is symmetric. x and y are the same (x = y). Both Q is symmetric and x = y. I know Julia has dot(). But I wonder if it is faster than BLAS call.

While doing multipitch climbing on rockfaces, the lead climber usually finds a small ledge or something like that to anchor themselves, and pause and top belay the other climber. How does this process work on icewalls? Standing on the ice wall even after anchoring oneself to the tubular piton is ...

I'm looking for a clear, definitive answer to the following question: Is taking someone else's writing, and changing some of the words, inherently plagiarism? I find resources that describe plagiarism are usually a bit vague around this issue. For example, one commonly-quoted book says this (Pech...

Given a complex number $a+bi$, it has a complex conjugate $a-bi$. The product of this complex number with its complex conjugate gives $(a+bi)(a-bi)=a^2+b^2$. One might imagine flipping the sign of the real part instead of the imaginary part to get a sort of "anticonjugate", resulting in a similar...

So I have a website (let say it is example.com) that has it's content managed by Contentful. That includes assets like images and PDFs, which currently can be accessed through images.ctfassets.net/... and assets.ctfassets.net/... respectively. Now I want the assets to be indexed by the search eng...

The situation is this: A Genie Warlock comes up with an elaborate scheme relying on multiple uses of his Mystic Arcanum; Wish. They know that this can be only cast once a day, but the wizard gave them a hint that just might double their efforts... Wishing for a simulacrum!!! The simulacrum spell ...

If I run (with sudo) sudo find / -xdev -type f ! -path '/home/blueray/*' ! -path '/timeshift/*' > log.txt It works properly without any issues. However, if I run the same command without sudo , I get some error in console. The search result in log.txt is proper (no issue with that). But I am not...

Annotator is a lightweight application for annotating images. It is much simpler and faster to edit an image in annotator than in GIMP. It was recently featured in OMG! Ubuntu!. How to install it in Ubuntu?

I was trying to implement an efficient (in terms of size of code and time and memory-efficient) of Infix to Postfix in python without the use of any modules and with only necessary parts (such as without class). Currently, my code looks like the following operators={"+":1,"-":1,"*":2,"/":2,"^":3,"**

Is there a way in QGIS to randomise the colour of all the polygons present in a single layer? I'm currently using QGIS 3.20.3 and a lot of the plugins for this that I've found online are not compatible (including Topocolour).

The James Webb Space Telescope, after decades of development, has finally launched. It stands to reveal great knowledge about the dawn of the universe, and great insights into extrasolar planets. With that thought in mind, I started thinking on what would be needed to not only detect life on an e...

The minhag for using Havdala candle made of beeswax is mentioned in Kaf-Hachaim 298:12. What is the reason that Havdala candles should specifically made of beeswax? What is the connection between beewax and Havdala?

American economist and author Paul Craig Roberts wrote in a blog article, CDC Admits that the Covid Pandemic Was the Product of an Inappropriate Test: Quietly without media attention, the Centers for Disease Control and Prevention (CDC) has withdrawn the PCR process as a valid test for detecting...

For example, the wikipedia entry for Nazism/National Socialism states: It incorporates fervent antisemitism, anti-communism, scientific racism, and the use of eugenics into its creed. Someone who displays racism would be called a racist. Someone who showcases anti-semitic behaviour is called an...

I'm looking for a way to help my users more easily compare the output of a fingerprinting algorithm (which is a very large number/byte array). So instead of showing something like "8c0db1f40b6e4c1e268a5f3e2405278f" as the fingerprint, I'd rather show something like 'AT-BAD-HONEY-CAR-MOUSE' (obvio...

I am planning to use this SSR chip. I decided to use the "Connection C" configuration which is given pictured in the 2nd page of the datasheet. However, there is something I don't like about this connection, that is the load is connected to the high side. If I wanted a low side switch configurat...

A circle or a rectangle can be easily cut into any number of parts that are equal by both shape and area. Is there a plane figure with the same property that has neither a center of symmetry nor a line of symmetry? The parts must be equal in both shape and area. My thoughts are the following. T...

Warning: no idea how to word my question without being one giant spoiler for book 8, so proceed with caution ;-) P.S. I haven't finished book 9 yet, so if this is answered somewhere there, I'll put my question on hold ;-)

I'm specifically wondering about the spells Armor of Agathys, Fire Shield, and Shield, but a general answer would be helpful. For example, if a level 9 Abjuration Wizard/level 2 Warlock multiclass with an Arcane Ward with 20 hit points active, Fire Shield cast at 4th level, and Armor of Agathys ...

Having been inspired by a recent question here, here is another. FIDE §E11.5 prohibits "unreasonable offers of a draw". Some specific cases which might get frowned upon by your opponent, even if perfectly legal by the rules: Repeated draw offers are a relatively easy case for the arbiter, since ...

Set in the modern day but it's a parallel universe, as usual we have food crisis and climate changes etc. Imagine a serial killer was finally arrested and sentenced to death as the country still practice capital punishment, it supposedly is a strong deterrence and sent a powerful message to warn ...

I just wanted to understand the meaning of the following statement and whether they seem correct. test -x /usr/bin/find || exit 0 Command 1 Command 2 Command 3 The output of test -x /usr/bin/find is always 0. That means the exit 0 command will be executed , meaning Command 1, 2, 3 will never be...

On Sitecore 10.1.1, I've got Sitecore Headless Services Server XP 18.0.0 rev. 00473 installed. According to documentation, that's the correct version. The package brings Sitecore.LayoutService.dll with version 7.1.0: Now I'd like to extend the LayoutService API. I referenced the latest available...

Exercises in Style (French: Exercices de style), written by Raymond Queneau, is a collection of 99 retellings of the same story, each in a different style. This is the one I'm wondering about: Sol erat in regionem zenithi et calor atmospheri magnissima. Senatus populusque parisiensis sudebant. A...

I'm interested in using Danish oil. One of the approaches I have seen is to apply the first coat, let it dry and then use 600 grit sandpaper that you wet with the Danish oil for the second and third coats. Could you automate this by using a sanding machine or is adding volatile oil to a sanding m...

Marked spoilers for Rebels S4 and The Mandalorian S2. The final scene of Star Wars Rebels occurs after the events of the original trilogy with Then in Season Two of the The Mandalorian, Chapter 13: The Jedi, we have: What is the chronological order of these two events?

I have two arched windows, a small one and a large one. I have no idea how to trim the windows. I know how to trim a normal window, but the arches are very different. I've searched online and all of the videos/articles are terrible and provide very little insight in the materials and methods. Wha...

Numerically, I have noticed that $$\int_{-\infty}^{\infty} \dfrac{\phi(x)^2}{\Phi(x)}dx < \infty$$ where $\phi$ and $\Phi$ are the standard normal pdf and cdf. However, I do not see how to prove it. I would appreciate any hints.

I want to change the line thickness for multiple layers with gpx tracks without changing their individual settings like their color. I know I can copy one style and paste it to all selected layers but this overrides also their individual settings like their color.

Say we have a fall while considering air resistance $$ma=mg-Bv^2.$$ It is a standard differential equation. But then I was asked what would happen, if we ignore the gravitational force $mg$. Now I am confused, why or when can we ignore the gravitational force? I assume when the object is very ver...

So I'm coming at this from the POV of a physicist. Physics demonstrates that the universe does not feel any obligation to follow a humans naive idea of what makes sense. This idea of what "makes sense" was developed for surviving in a Newtonian world, and understanding the behaviour of an electro...

I'm solving this homework problem: I believe the answer is $n+2,$ and currently working on proving this. My intuition stems from the fact that when $n=1, P(x)=(x-1)^3, so$ 1 is a polynomial of multiplicity $3.$ I attempted this: calling the polynomial $P(x),$ we see that $P(1)=0,$ hence $1$ is a...

For educational purposes I am trying to unwrap a part of a cylinder (using blender 2.93.7), and I have the following problem: I have this cylinder (I marked the seams to make other tests but we will not need) I unwrapped it with cylinder projection like this: then I apply a subdivision surface ...

I've checked these two questions (question one, question two), but they were not helpful for me to understand. I have a file file.txt with 40 lines of Hello World! string. ls -l shows that its size is 520 bytes. Now I archive this file with tar -cvf file.tar file.txt and when I do ls -l again I s...

I would like to have a function f(n,k) that generates a random nxn matrix with k elements equal to 1 in each row and column and has an all-zero diagonal, with all other elements equal to 0. In other words, I would like to generate an adjacency matrix for a random regular graph. An example of such...

I found this code that I want to use: https://github.com/ObjectivitySRC/PVGPlugins/blob/master/NonBSDPlugins/DataMineReader/dmfile.h The license is on top and states: If you do use this code please do two things: 1) Acknowledge my contribution 2) Send any changes, enhancements, etc for m...

Some satellites are injected into higher apogee than standard GTO apogee of 35786 km. Next the satellite then has to increase its perigee ( usually 250 km ) to GEO altitude. Then the apogee has to be decreased to GEO altitude. What is the benefits of this kind of orbital injection? Doesn't this r...

Wikipedia defines 'absenteeism' as staying away without good reason which to me immediately implies some kind of judgement of the reasons for staying away. However I've seen the word used in relation to the COVID pandemic, for example here (note that both Australia's Chief Medical Officer Paul K...

Suppose, there are values such as 1,A, 2,B, 3,D in certain cells. My intention is to add 1,2,3 (LHS) separately and A,B,D (RHS) separately. To achieve that, I have written certain custom function in "App script": function GetNumber (number, alphabet) { return number; } Now, how can I pass 1,A to ...

Pages like those from the National Vaccine Information Center NVIC or the Centers for Disease Control CDC make the following claim: In 1875, Rudolf Steiner discovered that chickenpox was infectious to others after he took liquid from the chickenpox blisters of an infected individual and spread i...

Does anybody still hear phantom morse code in your brain after ending a session? I tried to search Google but couldn't find anything on this topic.

I am using Ubuntu 20.04 and have a list of package names of which I want to check whether it is part of the default Ubuntu repository. So far I am iterating over the list an check with the following script: #!/bin/bash input="modified_list.txt" RED='\033[0;31m' NC='\033[0m' if [ ! -f $input ];...

I'm trying to settle a debate between me and some colleagues about two-panel file managers in MS-DOS/PC DOS. According to my own recollection the first was DV.EXE (DualView IIRC), but some of my colleagues are adamant that NC.EXE (Norton Commander) was the first. Could be we are all wrong and the...

Consider an entire function $f:\mathbb C \to \mathbb C$ that is real on the real line and even. This function has a Taylor series of the form $$f(z) = \sum_{i=0}^{\infty} a_i z^{2i} \text{ with } a_i \in \mathbb R.$$ I have an estimate of the form $$\vert e^{z^2 \mu} f(z) \vert \le e^{\vert z \ve...

I have an apex class within the package calling JSON.serializePretty() of an instance of a apex sub-class outside that package. I encounter this following error Type cannot be serialized so I dug a bit further from other questions but the solutions are for packages doing serialization between eac...

I wonder is it possible to start insertion in the end of word with a single keystroke? Currently I am using ea, but it does not allow to use . to repeat the same action. I really love A and I which operate with a line. Is there the same alternative, which operates with a word either w or W? So le...

I am self taught Ukulele Player and playing Ukulele for almost one and half years now and can play almost all the open chords. Learnt everything with internet resources. And this is my first string instrument experience. My learning journey (and almost sure, everyone's would be) consisted of dra...

I'm trying to write down a system of equations with variable alignment: 1 x + 2 y + 3 z = 4 5 x + 6 z = 7 8 x + 9 y = 10 but if you try using align and &&, then unwanted indents appear before the plus signs: \begin{align} && 1 x && + 2 y && + 3 z &= 4 \\ && 5 x && && + 6 z &= ...

Meet the Artarons, a group of giants of unknown origin. This troop consists of 15 humongous human-like giants, they have been living isolated in the woods to keep themselves secluded from the outer world, and are currently striving to secretly sneak and live in a modern city. These giants stood a...

I'm learning some music theory from a book, and encountered some question in my head that I can't seem to answer. The question is in the title: Is a note that is enharmonic to a diatonic note of some diatonic scale, also diatonic in regards to that scale? An example: Let's take the C major sca...

For example, a Harry Potter based chess set will never be used in a FIDE tournament. But that got me thinking: is there a specific set of rules/ criteria for a chess set to be used in a FIDE tournament? Does FIDE have any rules regarding this?

In Harry Potter and the Deathly Hallows Part 2 (2011), Voldemort is shown destroying a Basilisk fang: In the next scene, Ron is shown holding a Basilisk fang: How did Ron get the Basilisk fang if Voldemort already destroyed it?

as stated in the title i start a performance tuning of a table query with pagination generated by a legacy program that use Linq To SQL as ORM. I have found this resource in which is highly recommended to sort table before pagination : https://rimdev.io/optimizing-linq-sql-skip-take/ So i have fo...

I have looked at some posts here, but they dont answer my problem. I have subdomains and addon-domains and not all of them have a certificate yet. So I cannot use a generic solution. my .htaccess is RewriteEngine On #software RewriteCond %{HTTPS} !=on RewriteCond %{HTTP_HOST} ^(www\.)?example\...

Given the following code snippet: struct Foo { }; struct Bar { operator const Foo() { return Foo(); } }; int main() { Bar bar; Foo foo(bar); return 0; } See here on godbolt It compiles fine with gcc 11.2 but fails to compile with clang 12.0 with the following error: <

Who am I? When is my birthday?

Let's have a ragged list containing no values, only more lists. For example: [[[],[[]],[],[]],[],[[],[],[]],[]] And the list will be finite, meaning that eventually every path terminates in an empty list []. It's simple enough to determine if two of these are structurally equal. Check each elem...

Why do nodes exist? And how to texture without them? Is there any python add-on that I can install to get rid of nodes and just hand paint or use any other method? Or do I have to code it myself?

Scenario: You have an AirTag in your purse or wallet. You go to a crowded location, like a bar. A bad actor, with an iPhone, gets an alert about an unknown AirTag in the vicinity and decides to add your AirTag to his device. Later the bad actor uses the AirTag to locate your home and perpetrat...

I'm designing a board game and am looking to purchase a quantity of small tokens to serve as markers. Ideally, they would be wooden, pre-painted (I'm not picky about color as long as there are a few different colors), and very small. I need about 100, in three different colors. The best I can f...

This sentence is from "English File" by Clive Oxenden, and Christina Latham-Koenig. I am confused by their use of "sometimes". I remember being told by a native speaker that it's not used between verbs after "not" or "doesn't". The sentence says "you don't sometimes hate them". Should I really av...

I'm trying to find out when people were added to a SmartGroup. I want to be able to see when they joined the group so I can see when their membership is expiring. Anyway to do this? I have tried doing searches via Manage Groups as well as in Reports, but I can't seem to find any dropdown/filter f...

I was looking at Landau's entrance exam problem set from this compilation http://people.tamu.edu/~abanov/QE/TM-QM.pdf I stumbled across problem 186 which asks: Two electrons are inside a sphere. Find (qualitatively) how the total spin depends on the radius of the sphere $R$. I would think naively...

How should I translate "Made in Rome" and "Made in 2022" in latin. What I only know is "Made in Country" and "Made in YEAR" is different.

In my research, I do my analysis in R and write the paper in LaTeX. To avoid updating values in the paper when my analysis change, I update the values in the paper directly from R. Assume in R I have the variable foo <- bar. Right now, I have a placeholder in LaTeX with a set of brackets for foo'...