Can flying using fuel from one and not the other tank save fuel from constant cross winds over long flights or make it easier to land? Is there anytime where having the ability to shift the weight of the plane using fuel imbalance helpful?

I was recently contacted by someone claiming to run a "decentralized collaborative team" who cite each other's papers and offering me money for citing their papers ($10 per citation, paid out in at least $1000 chunks), or citations to my papers in return. After responding with publicly available ...

I've just got my first air compressor, it's a Nuair Belt Drive 3HP 150Litre 10Bar machine. The instructions say to drain water from the tank after use. There is a tap on the bottom to do this. Is it safe to open the tap when the tank is full or do I need to reduce the pressure in the tank before ...

My wife and I moved into a house built in 1954 (in Orlando, FL) and found these brackets above some windows. When the house was staged, they had curtains hanging from them, but we can't figure out what type of rod would work on these. These are mounted into masonry so we'd prefer to not remove it...

Through numerical calculations I have discovered that for any natural number $n \geq 2$, the geometric mean of the prime factors of all natural numbers $\leq n$ can be approximated well by $1.6653 \cdot n^{0.224}$. Is there a number-theoretic explanation for why this is a good approximation?

if I already accepted a postdoc offer from Europe (only 1 year) and later received a tenure-track assistant professor offer from a research university in US, I do not want to lose both opportunities, are there any good suggestions to handle these offers, how to write a letter to the professors/ch...

In the context of computer programming, I often see constructions where I expect the word "the" to appear, but it's omitted: "…is powered by method DEX and aimed at…" - I expect "the method DEX". "Computation hReady hdl indicates whether…" - I expect "The computation hReady". "Package lbfgs wrap...

The Tilde (~) sign in the URL appears in the superscript position. How can I change it so that it gets the same position (near the normal line) as in the text here? \documentclass[12pt,twoside]{report} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage{hyperref} \hypersetup{ bo...

I'm referencing Jason A. Donenfeld's Random number generator enhancements for Linux 5.17 and 5.18 available here. In summary:- significant outward-facing change is that /dev/random and /dev/urandom are now exactly the same thing, with no differences between them at all... So entropy is collecte...

I've had a Cannondale CAAD8 for a few years. I don't know what year the bike is and I don't know what the derailleur is. It just says Shimano on it. It looks like either Sora or Tiagra. I know it has 9 speed and it's 10-34. You can see the photos. I would like to improve the gear group. What do y...

Isaiah 19:18 says בַּיּ֣וֹם הַה֡וּא יִהְיוּ֩ חָמֵ֨שׁ עָרִ֜ים בְּאֶ֣רֶץ מִצְרַ֗יִם מְדַבְּרוֹת֙ שְׂפַ֣ת כְּנַ֔עַן What is שְׂפַ֣ת כְּנַ֔עַן in this context? Why does Yeshayahu identify the language with Canaan instead of directly with Hebrew?

Yesterday, SCOTUS heard oral arguments on whether FDA exceeded its role in easing the rules on the drug mifepristone that can be used for medication abortion. Many justices across the ideological spectrum were very skeptical on whether the plaintiffs had legal standing to even sue. Yet I never sa...

I am preparing an independent research paper to publish in an open access peer-reviewed journal. Independent means: my PhD supervisor doesn't have any contribution in this. Since my supervisor doesn't have any contribution in it, I cannot request him to cover the expenses for this paper. What sho...

So the idea is to model reasoning as a preference relation over sets of propositions. Given sets of propositions S1 and S2, we might have the relation S1 < S2, which we can read as "S2 is preferred over S1." And what this means operationally is that if we initially believed S1, we would be willin...

At the time of the destruction, the Earth was 10 million years old. However, in the series, the guide indicates a scientifically recognized age of 4.5 billion years. Is there a logical explanation for this?

Why does Paul dilute and change God's Moral Law requirement of mankind (Mt. 5:17-20) for the Gentiles to four other requirements instead (Acts 15:19-21, 28-29), calling the Decalogue a yoke upon the neck, a burden, and not necessary (Acts 15:10, 28-29), when that is the law mankind are to be judg...

I've just got a new iMac, running Sonoma. My old iMac was running Catalina. When I open an .rtf document while another document is also open in TextEdit, it opens the second document in a new tab in the existing window, rather than in a new window like it did in Catalina. I'd prefer to open docum...

So, I'm a PhD student working on the history of algebraic number theory and algebraic geometry. To a great extent that involves me having to read copious amounts of text in German and French. Now I'd lying if I claimed fluency in either, but when it comes to reading mathematical texts in either l...

The Greek text here unambiguously says “a holy spirit” (pneuma [ēn] hagion) in both of these passages. However it appears that most Christian translations choose a different wording: He was waiting for the consolation of Israel, and the Holy Spirit was on him (NIV) He was righteous and devout ...

I have a list which looks like following: list1={{{a,b,c},{a1,b1,c1},{an, bn,cn}},{{f,j,k},{f1,j1,k1},{fn, jn,kn}}} and I need it to be as following: {{a,b,c},{a1,b1,c1},{an, bn,cn},{f,j,k},{f1,j1,k1},{fn, jn,kn}} Could you please help me with this?

First of all, let see what I want. It is the two upper box with two equations in each. and the two boxes at the bottom are what I get from the following LaTeX code: \documentclass[12pt,letterpaper]{article} \usepackage[utf8]{inputenc} \usepackage[english]{babel} \usepackage{amsmath} \usepackage{...

I'm learning a little TeX. The following code works fine. But I don't know how to add a leading zero for hour and for minute, if each one of them is less than 10. Thank you for your help. This code works fine. The output: The military time is: 1221 The standard time is: 20:21 \documentclass[]{art...

I am trying to make a moon orbiting a large ice giant that has a liquid ocean via this thought process: The moon has high eccentricity (though it is still in spherical shape), so raw tidal forces already warm it up, but this also gives it volcanoes which put greenhouse gases into an atmosphere, w...

I have read on different sources that it is not possible to give a simple proof that "two free groups are isomorphic if and only if they have the same rank" using only what "a student who has just read the definition of free group as a set of words over an alphabet" would know. See for example th...

I am following the last module of Differential Calculus on Khan Academy, that deals with Parameteric equations. Here are the parametric equations described in the lecture. $x(t) = 5t + 10$ $y(t) = 50 - 5t^2/2$ However, I really don't understand what parametric equations really mean. How do they d...

I've been reading through the Polytope-Wiki entry on helices. To my understanding, an $n$-gonal helix is a blend of a planar $n$-gon $\{n\}$ with the regular linear apeirogon $\{\infty\}$. The blend of the apeirogon with a line segment produces the only two dimensional "helix", the zig-zag. Final...

I have a large data set looking like this: list1 = {{1, 1, a1}, {1, 1, a2}, {1, 1, a3}, {1, 2, b1}, {1, 2, b2}, {1, 2, b3}, {1, 2, b4}, {1, 2, b5}, {10, 3, c1}, {10, 3, c2}, {10, 3, c3}, {10, 3, c4}, {10, 3, c5}} I need to choose the elements based on the same first and second elements and p...

I'm new to electronics, and I can't make sense of this video. At the 9:10 second mark, he holds a metal spoon across the ends of a wire that's carrying around 100 amps, and he's not harmed. Later the same setup produces over 400 amps, the spoon glows hot while he's holding it bare handed, and he...

https://twitter.com/drmirmushtak/status/1580581360066232320: The lines we see on the two pills are called score lines. What's the translation of score line in French? Google Translate and Linguee weren't helpful. Google Translate suggests "ligne de score" but I don't see it being used on Google.

The Question: How do I reframe getting an MPhil instead of a PhD the first time round, in the context of applying for a mathematical postdoc? Background: I tried for a PhD in group theory at respectable university in England; however, the pandemic, a lack of funding, and the onset of schizophre...

I have the following DNS configuration: $ dig +noall +answer -t txt example.com example.com. 626 IN TXT "v=spf1 +a +mx include:sendgrid.net include:_spf.google.com -all" $ dig +noall +answer -t txt google._domainkey.example.com google._domainkey.example.com. 600 IN TXT "v=DKIM1; k=rsa; ......"

Let $(C,\otimes)$ be a monoidal (non symmetric) Waldhausen category. In particular, under these conditions, $K_{0}(C)$ is a ring and $K_{i}(C)$ are $K_{0}(C)$-bimodule for any $i\in \mathbb{Z}$. Suppose that $K_{0}(C)$ is a commutative ring. Let $a\in K_{i}(C)$ and $q\in K_{0}(C) $. I was wonderi...

Cambridge University: When a clause follows these (subordinating) conjunctions , it becomes a subordinate clause, which needs a main clause to make a complete sentence. Link Let's take a look at this example: We went home early because we were tired. Here, 'because we were tired' described a...

I was looking into the definition of theft in the UK and found (emphasis mine): Theft is defined by section 1 of the Theft Act 1968 as the dishonest appropriation of property belonging to another with the intention to permanently deprive the other of it I also found this answer which explains: ...

According to Halacha what is the proper beracha (blessing) on pancakes or waffles? Is it considered like bread which requires hamotzi or is it considered more like cake which is mezonot?

The Situation This can be considered a continuation of the following question: Permanent Full moon via "Magic" In this question ask how a permanent full moon could be possible. While i got my information achieved I now have another problem. Which is literally having no moon phases to indicate the...

A young married couple are expecting their first child. From the womb he communicates telepathically with his mother. He tells her to drink milk which she hates the taste of. The unborn child tells them he is named Leonardo after Leonardo Da Vinci. He insists his mother read many high brow books ...

I'm trying to validate the inputs in a FloatProperty and make sure precision is always up to 2 decimal places. Apparently precision=2 doesn't cut it as you are still able to input values with 3 precision. but I get an error which doesn't make any sense. I tried these 3 different validate function...

I can't come upon a solution for the question below. The background of the actual work is not interesting for the question, so l won't explain why I need the solution. I would be very thankful if someone could help, even though the question may be pretty simple for the Mathematica Stack Exchange....

Common emitter amplifiers use resistors often in their source and collector but I have been thinking, they consume power. In RF applications, would it be possible to achieve the same effect with inductors instead?

I have seen two motivations of decomposing an $L^2(\mathbb{T}^n)$ function into a Fourier series with basis functions $e^{2\pi inx}$ with $n$ being integers. The first one is the intuitive frequency representation of a signal; the second one is that the trigonometrical functions are eigenfunction...

This is part 58 of the puzzle series Around the World in Many Days. Each part is solvable on its own. Dear Puzzling, This is a diagramless checkerboard crossword. Empty cells are either blue or white; one of these cell colours only contains vowels (A, E, I, O, U) and the other only consonants (i...

Hardware iMac, 2019 3 GHz 6-Core Intel Core i5 Ventura 13.6.3 MacBook Air, 2020 Apple M1 Sonoma 14.2.1 Thunderbolt cable Problem I want the iMac in Target Disk Mode so that I can see it from the MacBook. I have followed the instructions outlined in Transfer files between two Mac computers using t...

We have text that goes on the top of our Registration Screen Confirmation Screen, and our Thank You Screen. It's the exact same text - name and date of the event in big letters. It's working fine on the Registration Screen and the Thank You Screen; however, on the Confirmation Screen it's showing...

Sanctuary says: You ward a creature within range against attack. Until the spell ends, any creature who targets the warded creature with an attack or a harmful spell must first make a Wisdom saving throw. On a failed save, the creature must choose a new target or lose the attack or spell. This s...

75 different integer numbers are written on a blackboard. Each is erased and replaced with either its square or its cube, the operation being random for each. What is the minimum quantity of different results? How can I solve puzzles like this one? On a different site, two people got two differen...

I have an extremely awkward window configuration that I have no idea how to handle. It seems like most curtain rods want to have a bit of space on both ends of the window to install flat onto the wall but in my case the window is right next to a wall jutting out on the left-hand side so there's n...

Where can one acquire the Sefer 'Esek Hashchita' by Rabbi Dovid SHAFFIER? Either pdf or hard copy

In Thermodynamics (1st ed.) by James Luscombe (2018, p. 12), the zeroth law is used to show the existence of empirical temperature (of fluids in thermal equilibrium) as a function of pressure and volume. This notion of temperature is a logical consequence of the zeroth law. Am I right? However, i...

When dealing with logic aren't we supposed to question logic, as though what caused it and why it is and therefore ask or beg the question, "Can our basic understanding of logic be logical?" "Is the logic of logic logical?" and are there any clear answer for these questions. This might be meta-ph...

After using MM V12 for a long time on a MacBook Pro 2011, which just lost 8GB or RAM from 16GB, I am trying V14 on a MacMini M2pro with 32GB. I had previously coded a coupled 3D EM problem involving a rectangular wire loop driven by an AC voltage across a gap. The object being to view the quasi-s...

I have a dataset with polylines. For some reason the polylines are drawn back and forth multiple times. You can regard the lines as folded. The number of lines the runs back and forth varies from line to line. I would like to extract the part of the polyline that runs from the startpoint to the f...

According to the standard quantum mechanics, quantum states are one-dimensional subspaces of a separable Hilbert space. In practice, this Hilbert space is $L^2(M)$ where $M$ is the classical configuration space of the system. From this follows that for any state function $\psi_1 \in L^2(M)$ and f...

I’m interested in working with a large dataset consisting of CAS numbers and each corresponding molecule/chemical unit’s name. From my understanding, CAS Registry Numbers are assigned and stored by a division of the American Chemical Society. However, it's not entirely clear to me how these numbe...

I think both withdrawal and retraction are done when there is something wrong with the journal article. What is the difference between them?

I've been setting up a Basilisk II emulator to try my hand at developing apps for 68k System 7 systems, and have set up the Macintosh Programmer's Workstation. I wrote up a standard hello.c program: #include <stdio.h> int main (void) { printf("hello, world!\n"); return 0; } After compil...

Why Moses? Why Elijah? Why not Enoch? I say this because Elijah was taken up into the heavens, same for Enoch, but it is mentioned in scripture that Moses clearly died What made the disciples think that it was, Moses and Elijah, that were with Jesus during his transfiguration if they had never se...

I am planning a novel and am currently developing the characters. I have written one sentence for each character that defines them, come up with the roles they would play in the story, as well as their backstory. However, I am struggling to create characters that don't seem stereotypical or unori...

I need to align some elements within an itemize environment. For example, each item contains a question and some space (with dots) for students' answer. How can I have some elements within itemize properly aligned (for example each square root, each "=" sign, and each \dotfill ) ? Thank you! \doc...

I tried searching the web but can't understand the difference/boundary between hexagonal(ports and adapter) architecture and ACL Pattern. While hexagonal architecture talks about creating ports(interfaces) and adapters(implementation), doesn't ACL also do same by adding a layer which is corruptio...

I'm looking for a way to use Bitcoin Core in Regtest in a WiFi network (educational purposes in classroom). The goal is that students install Bitcoin Core, activate Regtest, generate coins and send them to each other. The problem is, in my tests (on two separate laptops), the nodes don't find eac...

When I write a document it is usual I divide it into more part: so, I am usual to not number part page as into the example put below where I put a document with three parts, like Overture, Part I and Part II. So as you can observe I restore number page using a set counter where I indicated manua...

In The Shadow of The Torturer by Gene Wolf, the tower the torturers live in is made from metal. I found the silent lips and pale, closed eyes more terrible than the agonized masks painted on the metal of our own tower. I seem to remember other metal towers being mentioned and someone saying tha...

Here is the passage I am referring to. All wanted blood except the boys, who liked it as a rule, but to-night were out to greet their captain. The boys on the island vary, of course, in numbers, according as they get killed and so on; and when they seem to be growing up, which is against the rul...

I have code like this: self.snap_conf = QgsSnappingConfig() ... self.snap_conf.setTypeFlag(Qgis.SnappingTypes(Qgis.SnappingType.Centroid)) self.snap_conf.setTypeFlag(Qgis.SnappingTypes(Qgis.SnappingType.Vertex)) It causes no error, but turns on only second type. How can I apply both (or more)? I...

Armies of the late 1890s and the early 16th century are operating on practically completely different principles of war. How they fight battles is extremely different. However in this case, they've ended up matched together in a war. Neither side knows anything about the other. They're initially ...

In order to prove the completeness theorem we obviously need a framework such as ZFC (I'm aware that ZFC isn't the only possibility) so that we can talk about a language $\mathcal{L}$ and also about models of $\mathcal{L}$. Now the completeness theorem makes perfect sense to me in so far as the l...

I'm reading an article and I quote the author here : The condition $\sum_{n=1}^{\infty} n^t L(n) \operatorname{Pr}\left(|X|>n^{1 / r}\right)<\infty$ is equivalent to the moment condition $E\left[|X|^{(t+1) r} L(X)\right]<\infty$. $t \geq 0, 0<r <2$, $X$ is an arbitrary random variable and $L(\cdo...

I would like to use the &-symbol and reference (to sections) in the texts that are circled around the inner point but whenever I try to do this, the document compiles to infinity. Minimal working example: \documentclass{article} \usepackage [ europeanresistors ]{ circuitikz } \usepackage{tikz, pg...

I'm going on a 1400 km cycle tour this summer and I'm wondering how to plan a cycle tour without taking major roads. When I enter the routes on Komoot, for example, I am guided along major roads (which is not so cool from experience) i would prefer to take long-distance cycle paths or small count...

We are using Sitecore Headless. We are not getting dictionary values for non en languages from web db which is used for preview site. We tried to get the dictionary values using Graph QL Query. We were able to get the values for en but we were not able to see the dictionary values for non en lang...

With the T Coronae Borealis nova likely to erupt soon, it got me thinking if novas could occur outside of a binary star system. On the wiki page titled Nova: All observed novae involve white dwarfs in close binary systems. Classical nova eruptions are the most common type. They are likely creat...

Why does the capacity of the formula 'a -> ~a' to be true seem so counterintuitive? Can you give me some ordinary language examples of this case?

I constructed the curve of the mentioned function but it is not displayed correctly. \documentclass{standalone} \usepackage{pgfplots} \usepackage{amsmath} \begin{document} \begin{tikzpicture} \begin{axis}[ xlabel=$x$, ylabel=$y$, domain=0:0.6, samples=100, ax...

We know angular momentum is defined as $mvr$. In the context of Lagrangians and Noether's theorem, this definition pops up as the conserved quantity due to rotational symmetry of the system. Is there anyway to justify this definition without the use of Lagrangians and Noether's theorem? As in if ...

While I'm aware of the fact that causality implies that the present output is only dependent on present and past inputs, something that is bugging me is what if the input is dependent on future outputs. Would the system be causal or anti-causal in that case? I look at this with the assumption tha...

Given the signal y below, is there a way to recover the original signal x (before convolution), without knowing the impulse response h? Additional hypotheses are probably required, for example we can assume, by looking at the y plot and the period of the bounces, that h[i] != 0 only if i = 20, 40...

Expressions are not garbage collected if there are references to them stored in the expression store. I use the following internal functions: Language`NewExpressionStore System`Private`SetNoEntry System`Private`EntryQ You can read more about these features here. Next, I create a definition that ...

I have somewhat often found myself in the following situation, especially when self-studying a mathematical subject: I'm reading a book on a certain topic, and at certain parts I don't immediately understand something, for example a proof. But instead of re-reading it I just skip over it and cont...

An amorphous set is an infinite set that cannot be partitioned into 2 infinite subsets. An amorphous cardinality is the cardinality of an amorphous set. Working in $\sf ZF$, it is consistent that amorphous sets exist. Amorphous sets necessarily don't have a lot of structure. For example, for an a...

This would be the character's first adventure. Julia, a married woman, became his mistress. Her husband, Don Alfonso, was told that she was cheating on him and ran into the bedroom, accompanied by servants, in order to surprise her and her lover. Anticipating this, Julia asked her maid to lie in ...

I wrote this two player tic-tac-toe program in bash. To make a move you enter a number between 0 and 8 which corresponds to the square: 0|1|2 3|4|5 6|7|8 This is my code: #!/usr/bin/env bash declare -r BOARD_SIZE=9 declare -r DEFAULT_SQUARE_VALUE=- declare -ra PLAYERS=(O X) draw_board() { ...

As soon as I use resizebox around a few tcolorbox, they all appear in the same line. I want to create a nice layout, with linebreaks, between some of these tcolorboxes, and then just shrink it to fit in my slide. I cannot do it without resizebox (or similar) because my tcolorboxes contain \huge a...

I need a wait delay function with fine grained control of the delay. I came up with the fairly standard way ldi Rx, N lp: dec Rx brne lp This code takes precisely N * 3 cycles to execute (the final "brne", leaving the loop, takes one cycle less, compensating the extra cycle us...

So I have looked for the origin of this expression but I want native speakers or people with English studies to answer or give their answers and thoughts on what might be the origin of this expression.

I am applying for a UK visa under the Global Talent category using the endorsement route. In this form, it asks me to disclose all my previous international travels. I have visited a few countries in South America prior to having a passport - there is a treaty that allows it, so it's completely l...

Bob has been made redundant today due to "Organisational Restructure" process and let go immediatelly. He has been there for 18 months and the notice period was 1 month. The company offers to pay £3000 if he signs a Settlement Agreement. Is the company allowed to do that and should Bob take the m...

Many white countries (defined as countries where the largest ethnic block is of European descent) have government programs that give special privileges to ethnic minorities. Example 1: the United States (as well as other commonwealth countries) has affirmative action programs, which promote the h...

Comment pourrait-on dire Don't spend too much effort on it ? Par exemple, dans le contexte où je conseille à un collègue d'essayer une approche particulière, mais sans être sûr que le succès de cette approche est garantie. Littéralement, je dirais : ne dépense trop d'effort sur ça. Mais je doute ...

The three overlapping ellipses form seven curved regions. Your task is to place exactly one tile per region, so that the four tiles in any one ellipse can solve the corresponding clue!

Why does a multimeter show some capacitance when its terminal are not connected to any capacitor? My multimeter is showing 30pF. Does this imply that my multimeter is not calibrated properly or it is due to humidity in the atmosphere or something else?

Haven't notice this thing on the Sikorsky, what is it? Another picture from another angle:

The IRS limits contributions to Employee Stock Purchase Programs (ESPPs) to at most $25000 per year. This limit has not changed for at least five years, during which the CPI has increased roughly 25%. I am curious how long the $25000 limit has been in place, as I would like to figure out how much...

This is a question on work energy theorem in rotational motion with its answer for the first part of the question. Here, I have a doubt about why is the book taking the translational work done by the gravity and not the rotational work done by the gravity? I can not understand this question, ple...

I've learnt about aliases and symbolic links ages ago, but only recently learnt of the link command from symbolic link vs. alias Is the link command in terminal on my MacOS - version is Sonoma 14.4.1 the same as ln or is it its own command? I've not actually done this often on terminal, but I did...

The short version of my question is: Suppose $X$ is a (reasonably nice) topological space such that $X = \bigcup_{n \ge 1} X_n$ for an increasing sequence of (closed) subspaces $X_1 \subset X_2 \subset \cdots$​, and suppose that $\mathcal{F}$ and $\mathcal{G}$ are sheaves on $X$ which are isomorp...

C++26 has introduced erroneous behavior in addition to undefined, unspecified, and implementation-defined behavior (see Undefined, unspecified and implementation-defined behavior). How is this new construct different from the existing kinds of behavior, and why has it been added to the C++ standa...

Is there a way in Blender Python to change the 3D Viewport space shading.type or the shading.color_type directly? I mean: without parsing all the screen areas for the 'VIEW_3D' type and change it then? Here's the code I'm currently using: for area in bpy.context.screen.areas: if area...

I was working in a company, where I was developing a Full Stack Application. In it, I had implemented Email API features in which users will get the following emails confirmation mail and password of new account creation with the user name (the account creation process is done by an Admin, and ...

I am exploring the capabilities of 2nd Generation Managed Packages (2GP) in Salesforce and I am wondering if it's possible to package Communities along with their customizations and configurations in a 2GP. Is it possible to package a Salesforce Community (including custom themes, branding, page ...

Consider as a toy example that I want a replacement which acts on {x,1,2,3} by replacing $x$ with the length of the list itself. In this example this should output {4,1,2,3} So I want a code that looks like {x,1,2,3}/.{x->Length[???]} where "???" should indicate the expression on which I am d...

Instance: An undirected graph $G$ and a positive integer $k$ Question: Does $G$ contain a vertex cover of size $\leq k$ or a clique of size $\geq k$? Obviously, this problem is solved by polynomial reduction, but is it from Clique or Vertex Cover? And how? I've tried to reduce from both problems,...