Is there a strictly increasing and strictly concave real-valued function defined over the entire real line? I am looking for a real-valued function $f: \mathbb{R} \to \mathbb{R}$ that satisfies the following properties: Strictly increasing: $f(x_1) < f(x_2)$ for all $x_1 < x_2$. Strictly concav...

I have a two part question regarding the breakdown of my summary table prior to testing with shapiro.test. First, here is my data. It is a dataframe of bees with their abundance and body sizes and can be summarized by year, urbanization level, sites, and sex. > dput(df) structure(list(Genus = c("...

Solids of revolution are typically taught in Calculus II for most undergraduate students or in AP Calculus BC for most high school students. However, it seems to me that this topic is far more appropriate for Calculus III (Multivariable Calculus) than for Calculus II. Using cylindrical coordinate...

Let $ \omega=e^{2 \pi/3} $ be a primitive third root of unity. And let $ \phi= \frac{1+\sqrt{5}}{2} $ be the golden ratio. The ring of integers $ \mathbb{Z}[\omega] $, called the Eisenstein integers, has class number 1 (it is a Euclidean domain and thus a PID). The ring of integers $ \mathbb{Z}[\...

I suppose this question has been asked many times. I have been told that an elementary particle is a (moving) point, or (a section from) some field, or an excitation from some field. But now, I am told that a particle IS (from the verb "to be") an irreducible representation of the Poincaré or the...

Have Implemented below service registry class with 2 load balancing strategies.Used Strategy Pattern. Used Stamped lock ( Optimistic write locking) for ensuring thread safety and concurrency. Used Atomic Integer and ThreadLocalRandom in round robin and random load balancers for concurrency. Am I ...

In my last question If physics can be reduced to mathematics (and thus to logic), does this mean that (physical) causation is ultimately reducible to implication?, I entertained the notion that physics might be reducible to mathematics. However, several responses suggest otherwise, implying that ...

I remember playing a game, similar to Vestaria Saga, both in gameplay and style. The story is typical isekai, where main hero gets transported to another world with his sister to aid a king in a war. I remember some other characters; a girl with purple hair who is tired of fighting for that king,...

Let $\mathbb{Z}_p$ be a prime field, $r \leftarrow \mathbb{Z}_p$ be a random number, $w=w_0w_1...w_{K-1}$ be a 0-1 string, and $$v = \sum_{k=0}^{K-1} r^kw_k \mod p.$$ Is it possible to find another length-$K$ binary string $\hat{w}$ such that $$\sum_{k=0}^{K-1} r^k \hat{w}_k =v \mod p$$ So we ar...

I have a network device with both: Cellular Internet via modem (I need this to work 100% of the time for Internet access). Ethernet interface for Modbus TCP connection. The cellular connection is created with this command: $ sudo nmcli c add type gsm con-name telus \ ipv4.dns '8.8.8.8 8.8.4...

Consider the unit square integral $$I=\int_{(0,1)^5}\frac{x(1-x)y(1-y)u(1-u)v(1-v)w(1-w)}{1-(1-xyuv)w}\ dxdydudvdw$$ Using Mathematica or otherwise I need a closed form of I, possibly in terms of the Riemann zeta function. I tried the following code in Wolfram cloud: Integrate [ x* (1 - x)* y*...

I cannot find the fault in this proof which seems to prove that there does exist a bijection from the set of all subsets of $\mathbb N$ to the set of $\mathbb N$. For some subset, say $K$, we define $f(K)$ to be the product of all $p_{i} \forall i \in K$. Ex: for the subset $\{1,2,4\}$, its funct...

I have a 2012 Nissan Rogue. The AC stopped working. When the AC is on full blast the AC compressor doesn't spin. When the car is powered off the clutch on the compressor spins freely. I pulled out the power plug on top of the compressor. I cranked the car and put the AC on full blast. My multimet...

IBM PC power supplies have output voltages of +5V, -5V, +12V, and -12V. Among these, -5V and -12V are not commonly used in modern systems. I am testing an old AT power supply with a multimeter, and while the +5V and +12V outputs are normal, the -5V and -12V outputs are about 20% lower than expect...

I'm wondering, if it had entered on a trajectory that had caused it to fly by Jupiter, for example, in just the right way, could it have been captured by our Solar System? Or, was it simply moving too fast for that to have ever been a possibility? https://en.wikipedia.org/wiki/%CA%BBOumuamua

A basic model for a resistor is a conductor with ions and sea of electrons. If a current is flowing through this resistor, then an electric field must be present inside it. If the left hand side of the conductor at a high potential and the right hand side at lower potential the electric field wil...

Let $\tau \colon G \rightarrow G$ be an automorphism of a finitely generated torsion-free group $G$ that fixes a normal subgroup $H \lhd G$ of finite-index. Must $\tau$ have finite order? I am mainly interested in the case where $H$ is Abelian, but I haven't been able to make much progress in thi...

I can get cash as banknotes from Bankomat, but how can I get Swedish coins, regular and commemorative that are legal tender? I contacted my bank (Nordea), but they are cashless. For example I want a specific amount of coins of specific denomination, say 50 ten krona coins.

Examine the convergence of the following sum. $$ \sum_{n=1}^{\infty} \frac{a(a+1)(a+2)\cdots(a+n-1)}{n!} \cdot \frac{1}{n^b} $$ where constants: $a\in \Bbb N$, and $b\in \Bbb R^+$. I tried the D Alambert convergence test but the result of limes is 1, so this test does not say anything about th...

Opportunity attacks seem great. "Free" damage for someone moving away? Allowing "tanky" characters to punish people running by them? Making it more dangerous for ranged characters to allow melee next to them? Great. And for monsters, that actually (to some degree) works. No one wants a giant to g...

I'm writing something where I want to show lsblk output, such as NAME MAJ:MIN RM SIZE RO TYPE MOUNTPOINTS sda 8:0 0 1.2T 0 disk ├─sda1 8:1 0 5G 0 part └─sda2 8:2 0 1.2T 0 part You'll note the ├, ─, and └ characters. I've currently got \begi...

Suppose I want to write an optimization problem like in the following picture: From ChatGPT, the Latex is: \begin{align*} \text{minimize} \quad & f(\mathbf{x}) \\ \text{subject to} \quad & h_i(\mathbf{x}) = 0, \quad i = 1, 2, \dots, m \\ & g_j(\mathbf{x}) \leq 0, \quad j = 1, 2, \dots, p \\ & \m...

As NASA announced today, Boeing Starliner will return to earth uncrewed and before SpaceX Crew-9 will start (because otherwise no docking port would be available). This means (as far as I understand it), that between the departure of Starliner and arrival of the Dragon Capsule of Crew-9 flight Bu...

Taken approximately at the intersection of Lighthouse Avenue and 13th Street in Pacific Grove California, looking west. I assume the large sampling of cars will help indicate roughly when the photo was taken. Although there are probably lots of knowledgeable car enthusiasts in "Motor Vehicle M...

Question is straightforward (Arthur Engel's Problem Solving Strategies Chapter 6 Problem 12, Page 131), I was stuck for a while then read the provided solution: Show $$641 \vert 2^{32} + 1. \text{ No calculator allowed!}$$ The provided solution is $$641 = 5^4 + 2^4 = 5 \cdot 2^7 + 1 \text{ divide...

I'm trying to install a cheap Android auto stereo in 2012 Chevy Colorado work truck. I bought the recommended harness adapter which was a Scosche GM05B. When I first looked at the adapter harness compared to the plug in the truck things just didn't seem right. Tried searching to make sure this wa...

While reading this interesting Question about approaches to the issue of abortion, I thought it would be illuminating to consider the situation of disconnecting life-support. For utilitarianism, it would be unclear how the happiness of the person to be allowed to die is involved, if they are not ...

I got this pricing from Apple's website. It says $1449$ or $65.52$ per mo for 24 months at 7.99% APR. Following the example from Mathematics of Investment and Credit (7th Ed), section 1.4 (Nominal interest rates) I got: $\frac{7.99}{12} = 0.666$ And assuming compounding, we have $1449*(1 + 0.006...

A) I had had a car before she arrived vs I had a car before she arrived B) I had been in bed when you arrived vs I was in bed when you arrived All these sentences are correct, but those with the perfect tense strongly indicate that I no longer had that car or was in bed after she arrived whereas ...

This was black & white, so could've been The Twilight Zone or any other old science fiction series. Plot: A rich man, proud of his high-tech underground bunker, invites guests over to show it off. Suddenly, a nuclear disaster occurs, and he's forced to seal the bunker, trapping everyone inside. A...

I live in Australia but travel on my UK passport. Flying with air Asia and have 16 hour lay over at Kuala Lumpur Airport. Access to the air Asia lounge is outside the airport. Do I need a transit visa to leave the airport to get to the lounge and back into airport. Thankyou in advance

Can anyone refresh my memory on this? Wikipedia is no help, as I cannot remember the name of the incident, and any search terms would be too wide. I understand it involved attempts by USA troops to insist that only white servicemen were served in the public houses. The British were not happy abou...

When I run ls -l /dev on my Ubuntu, I get output like this: $ ls -l /dev total 0 crw-r--r-- 1 root root 10, 235 Aug 24 16:36 autofs drwxr-xr-x 2 root root 340 Aug 24 16:40 block crw------- 1 root root 10, 234 Aug 24 16:36 btrfs-control drwxr-xr-x 2 root root 2660 Aug 24 16:...

I'm writing some scripts on the PyQGIS 3 console to build a plug-in and I would like to create a color-graduated style for my vector layer. I read Applying graduated renderer to polygon using PyQGIS, but the problem is that the classification method used is custom, I'd like instead that algorithm...

戸惑う心を置き去りに、足は母さんの元まで、走っていく。 みんなを振り向きながら、手が勝手に、ひらひらと振られた。 "As I turned my face toward everyone, my hand waved on its own." I don't think it's saying it like the characters is having other people wave at him? But it's his own action? Why is passive used?

John 6:34-36 (NKJV) Then they said to Him, “Lord, give us this bread always.” And Jesus said to them, “I am the bread of life. He who comes to Me shall never hunger, and he who believes in Me shall never thirst. But I said to you that you have seen Me and yet do not believe. In what way does Je...

“I encountered the sentence ‘After this examination, my advisor suggested that Betty be to find a new teacher.’ My friend claims it uses the subjunctive mood with the ‘be to + infinitive’ structure, and his teacher said it’s correct. However, I believe it’s awkward and non-standard English. I’ve ...

In my bathroom, a double electrical box near the door contains: a GFCI outlet; and a duplex switch for the light and exhaust fan. I will be replacing the aging GFCI soon. On opening the box, I see that the GFCI load terminals are unconnected (the outlet protects only itself.) The hot and neutral ...

I am trying to do an unsupervised classification in GEE using Sentinel-2 drone imagery for training and classification and high-resolution drone data as a visual reference. When I define my training dataset, I get the following error message: K-means Unsupervised classifier: Layer error: No data...

This question has a more specific flavor to it, but it's ultimately a general legal question that just uses some examples as illustration. Consider the following scenario. For simplicity, assume the jurisdiction is the US and/or EU. I agree to the Terms of Service (TOS) in order to use a certain...

This seems like it must be a terrible oversight: if you sudo apt install emacs in linuxmint 22, the package brings in a kitchen sink of email systems, which in turn requires system configuration (you have to tell it how to configure email for your system). This has to be a mistake: emacs can do ...

Almost seven years ago now I was charged with a DUI (drink driving) and had my license suspended for 6 months. When asked “did you commit an offense that is imprisonable?” I said no, confused by the question because I wasn’t imprisoned. My travel was authorized. Only to realize that the offense i...

他に説明いるのって感じだけど、私服のときは左右から垂らした髪の先端が胸の上に乗っていることが多い。 The first part of this sentence really confuses me. My current interpretation of it is roughly "If another explanation's existence is felt". いる is used for animate things (and in some cases inanimate things that move, as I recently learned). Sh...

I am reading James, Witten, Hastie and Tibshirani's Introduction to Statistical Learning (2nd ed). On page 31, specifically Figure 2.9 in the right panel, I don't understand why the minimum possible test mean squared error (MSE) over all methods (dashed line) is 1 instead of another number. How i...

What is the difference (historical or otherwise) in the use of 頁 and ページ to describe a page number or the number of pages of a work?

Near future science fiction. An authoritarian regime is trying to control its newly dominated population. Dissidents have satellite (30MHz to 60Ghz) phones and satellites are still under the control of other states. I want to make it hard for dissidents to have much bandwidth.

I purchased this desk online: https://www.vwindesk.com/products/vwindesk-72-x-30-x-1-inch-100-solid-bamboo-desk-table-top-only-for-standing-desk-home-office-desk-with-60mm-grommetsright-angle My previous desktop had rounded edges where my arms rest. This new desktop has a sharp edge as seen in t...

My situation is that I have a house built in about 1920. The in-home plumbing is mostly 1/2" copper pipe from the basement water meter to the water taps. I had a large local plumbing company install a new whole-house filter system near the water meter recently (in 2024). The filter and some of th...

In Act 1, scene 2, Troy and Rose have the following exchange: Rose: That 651 hit yesterday. That's the second time this month. Miss Pearl hit for a dollar... seems like those that need the least always get lucky. Poor folks can't get nothing. Troy: Them numbers don't know nobody. I don't know wh...

I am currently working on a computer formalization of the algebraic completeness of Conway's nimbers. However, I've found Conway's exposition to be a bit convoluted, and I'm having trouble filling in what I consider to be a gap in the proof. The main result for the proof is Theorem 45 in On Numbe...

I have just computed this finite sum: N[Sum[Sin[1000003451/k], {k, 1, 1000}], 100]. And the result is -42.57582822927303221782613293712000247819591467928837841944661143978383722857210408949437814658891999. But when I use NSum: NSum[Sin[1000003451/k], {k, 1, 1000}, Method -> "EulerMaclaurin",Worki...

Suppose the working fluid is heated in a boiler by combustion of fuel outside the heat engine. If we assume that this a steady flow process with no change in time, neglect the kinetic and potential energies and heat losses from the boiler. The energy balance reduces to $m^{.}h_{1}+Q^{.}_{in}=m^{....

In the textbooks I've read and also in this answer the STFT of a signal $x[k]$ with length $N$ ($N$ is the number of samples in $x$) using a window $w[k]$ with length $L$ is defined as $$X[k,r] = \sum_{m=-\infty}^{\infty}x[m+k]w[m]e^{-jr\Omega_0 k}, \ \ \ \Omega_0 = \frac{2\pi}{N} \tag1$$ or $$X[...

I was solving the following problem: A metal disc of radius a = 25 cm rotates with a constant angular velocity $\omega$ = 130 rad/s about its axis. Find the potential difference between the centre and the rim of the disc if: (a) the external magnetic field is absent; (b) the external uniform mag...

I found the sentence on quora.com but I cannot figure out the exact meaning of it, specifically the meaning of the verb "close". If you come home feeling like someone was in your home without a sign of forced entry. You should do this: close a tooth pick between the jamb and the door when you le...

I want to access the data store by gnome-pomodoro app. I want to do some basic analysis on it. but I can not find where it stores its data. I know that it is installed in /usr/bin/gnome-pomodoro. But there is not stored data in that directory

A most unusual situation happened to a friend: they were travelling Ryanair, checked in fine and in good time, with checked in luggage, queuing for boarding. Suddenly the airline just announced "actually that's it folks, the plane is full, if you didn't make it, tough, come see us for a replaceme...

This is the image of the dev board consisting of an Atmega8-16PI chip and an L293D motor driver chips .It was was given to me by a friend and I am really curious on how to use it but I didn't find any way to use it on the internet . Research: I found out how to program and use an arduino uno fro...

Picture this: it is the 1960s and the NASA is getting ready to take its moonshot. But in addition to all the other reasons for the going to the moon, the U.S. government has conclusive evidence that alien ruins are hidden in lava tubes beneath the Sea of Tranquility and wants to investigate. They...

Seth and Cain play a game. They take turns, and on each turn a player chooses a pair of integers from 1 to 50 inclusive. One integer in the pair must be twice the other, and the players cannot choose any integers used previously. The first player who is unable to choose such a pair loses the game...

I am trying to perform QPT for the Hadamard operation as outlined in this document. The basis they use is $$ \{ \rho_{j} \} = \{|0\rangle \langle 0|, |1\rangle \langle 1|, |+\rangle \langle +|, |+i\rangle \langle +i|\}. \tag1$$ In the document (as well as in Nielsen Chuang) they write that we can...

According to the OpenRussian database, ~72% of non-reflexive first-person singular verbs get the "-ю" suffix. The overwhelming majority of the remaining first-person singular verbs in the database get the "-у" suffix. Furthermore, some words even get a "-ую" suffix, eg. "чувствовать" -> "чувствую"...

This year, I have been studying ahead for some graduate math courses I will be taking in the fall. I have been working on some exercises from a classic textbook and discussing a few of them with a peer. Furthermore, occasionally, if I am very stuck I may read about the question or similar ones on...

Assume that $w$ and $z$ are two distinct points on $\mathbb{H}$. Can we always find $a, b, c, d \in \mathbb{Z}$ satisfying $ad-bc=1$ and $\frac{aw+b}{cw+d}=z$ I think, this is not true. I tried taking the points $w=i$ and $z=i+1$, then I am getting $\frac{ai+b}{ci+d}=i+1$ and upon simplification ...

I know I can resize a image with ImageMagick using -resize or -scale, but how can I reshape a image with ImageMagick? If I use -resize or -scale: magick image.png -resize 160x a.png magick image.png -scale 160x b.png I will get this: But I want to have exactly the same number of pixels with exa...

I came across the adverb 徐に{おもむろに} , which is supposed to mean "slowly, deliberately" as in "he slowly got up from the chair". But I have learned that a mistaken usage of the word is apparently so common it shows up as the first definition in several of my dictionaries, meaning suddenly. This mis...

I have planted radicchio this year and got a couple of big heads. The heads are surounded by green leaves. I was wondering, are those green leaves edible? They are so many of those green leaves that it seems a waste not to eat them :) Thanks!

I implemented the below URL Shortener class. Used ConcurrentHashMap to handle concurrency. Short URL building logic may not be optimal, but it ensures that only small letters will be created with short URL length specified by client. Am I missing any important concepts here? Are there any improve...

Based on this answer, I put \pgfmathsetmacro{\a}{37} \pgfmathsetmacro{\b}{73} \pgfmathsetmacro{\ab}{\a + \b} before \begin{forest}. My code \documentclass[border=2mm]{standalone} \usepackage[]{forest} \usepackage{amsmath} \usepackage{enumitem} % cwestiwn Laurenso gwreiddiol : https://tex.stackex...

A dominating set of an undirected graph $G = (V,E)$ is a subset of vertices $C\subseteq V$ such that every vertex $v\in V$ either belongs to $C$ or has a neighbor in $C$. The corresponding decision problem is defined as follows: we are given a graph $G = (V, E)$ and an integer $k\geq 1$, and we n...

I see this question here and here. I don't know how to start. I can Graphics3D[Cylinder[], Boxed -> False]

According to this French website, Rashi in kiddushin 68b writes that the son of a gentile father and Jewish mother is a gentile. What is his argument?

This is my first time writing something bigger with OOP. A simplified version of the card game BlackJack. Hand splitting currently isn't implemented. File tree build header └── class ├── deck.h ├── account.h └── hand.h └── blackjack.h source ├── func.cpp └── main.cpp main.cpp #include "

I've came across this task in my book about abstract algebra. I know the definition of a cyclotomic polynomial, but I do not understand what $\Phi_{n,\mathbb{Z}_p}$ means: I only know what $\Phi_{n}$ is. Could you please explain to me what's going on here and how can we prove this equality? $\deg...

I am a professional with an undergraduate education. Out of both curiosity and a commitment to continued education I read papers and research related to the field that I am interested in. I recently came across a Master's Thesis directly related to my field of practice. With my knowledge of the...

so, how define the moment of inertia and center of mass of this frustum? I find this quite dificult, instead i can make this frustum to be a solid 3d and find the volume of the frustum code. so, the code is like this height = 5; radiusBottom = 3; radiusTop = 1;ParametricPlot3D[{(radiusTop + (radi...

What is the bitcoin-cli command to view the winner of each block reward in bitcoin mining? How do you find out the winning mining pool of each block reward?

While compiling the code below, I wasn't able to place the picture inside the proof environment. I am wondering how to fix this. Thank you! \documentclass[12pt]{article} \usepackage{pgf,tikz} \usepackage{amssymb} \usetikzlibrary{arrows} \newtheorem{lemma}{Lemma} \newenvironment{proof}{\paragrap...

A dual boot Microsoft windows and Ubuntu works fine ... however on 20 August 2024 windows released a patch that may break this for older versions of Ubuntu

We have been experiencing high load issues on our Linux server recently. Upon checking with the top command, we noticed an unknown process with a garbled command name (as shown in following images, notice that the command name would change after rebooting). This process is consuming a significan...

The following comes from a book by Jason Meyer, The End of the Law: Mosaic Covenant in Pauline Theology, pages 2 & 3 (B&H 2010). It was about historical digging into those O.T. and N.T. themes. The quote that seems to have come down to today is: Run, John, run, the Law commands, But gives us n...

Let $f_p(t)$ be a periodic function with period $T$. An identity that we often use is that $$ \int_{-\infty}^{\infty} dt \, f_p(t) \left[ g(t) - g(t - T) \right] = 0 \, , $$ which can be shown by shifting the argument by $T$. However, I am confused about the sufficient and necessary conditions f...

In every synagogue I have have been in the aron kodesh (ark which houses the Torah) stands vertically, with the torah scrolls inside also placed vertically. I would like to know if there is any reason or law which pertains to this. Meaning is this just a standard convention to have the aron kodes...

I used the following code: \documentclass[10pt]{article} \usepackage{pgfplots} \pgfplotsset{compat=1.15} \usepackage{mathrsfs} \usetikzlibrary{arrows} \pagestyle{empty} \begin{document} \definecolor{ffqqqq}{rgb}{1,0,0} \definecolor{qqttzz}{rgb}{0,0.2,0.6} \definecolor{qqwuqq}{rgb}{0,0.3921568627...

I friend of mine has had a subdomain takeover occur. I've taken a look at his DNS and he had some dangling entries, but they were A records, not CNAMEs. The subdomain was pointing to an IP address on AWS. I've read up on subdomain takeovers and most are done against CNAMEs. I get that a stale A r...

In Connections, the goal is to find four groups of four words. The four words belong to some category. Style Insurance Arrow Messenger Spike Eggs Line Forlorn Triangle Birds Taiwan Freedom Chevron Toucan Goose Hack Can you find what the categories are and which 4 words belong ...

When should the seeds from a Rocky Mountain Bee Plant be planted? Can seeds be harvested from pods picked from the plant or do you have to leave the pods on the plant to dry?

I'm using a Ubuntu 22.04.4 LTS desktop and have been successfully hosting VMs via virtualbox 6.1.32, until I got the following error: Kernel driver not installed (rc=-1908) The VirtualBox Linux kernel driver is either not loaded or not set up correctly. Please reinstall virtualbox-dkms package a...

The following Bash function gave inconsistent results: # $1 Path to ZIP archive. # Exits with 0 status iff it contains a “.mp3” or “.flac” file. mp3_or_flac_in_zip() { local archive=${1:?No archive given.} ( set -o pipefail unzip -l "$archive" | grep -iqE '.\.(flac|mp3)...

The game is like bomberman,I think it's 2D game and it's at least over a decade, the perspective is top-down, the characters in the game are sphere-shaped. There's a feature is that if your character wounded, there will have a burnt scar on your character if I remember it correctly. What is this ...

Real science information: You have a ship that is capable of relativistic velocities. Your trip is 4 light years away and you are moving at 0.999 % the speed of light. ​According to the time dilation equation Δt′ = γΔt = Δt / √(1 - v²/c²) Δt′– Time that has passed as measured by a stationary obse...

For this my code how can I remove the lines that I highlighted in the attach photo? \begin{table} \centering \caption{Different types of datasets with data type Int32.} \label{tabadf} \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{2}{|c|}{Dataset} & test & P\_value & \multicolumn...

Audio interfaces and Headphones publish different set of specifications. From these, what kinds of calculations can we do to assess whether the interface is capable of driving the headphone sufficiently (or will it damage the cans when cranked up all the way)? For instance an audio interface has ...

This sentence appears in Der Anschlag by Stephen King, translated by Wolf Bergner, Ich stolperte über den Sandkasten mitten im Garten der Dunnings, knallte der Länge nach hin und sah mich im Liegen dem starren Blick einer Puppe ausgesetzt, die ein Diadem und sonst nichts trug. The grammar in th...