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According to this, Station Record holders NASA astronaut Frank Rubio completed a single mission aboard the International Space Station of 371 days on Sept. 27, 2023. Rubio surpasses NASA astronaut Mark Vande Hei who ended his mission after 355 days on March 30, 2022 And according to this, Mars ...

The problem Consider the real numbers $x$ and $m$ that satisfy the equality $x^3+3x^2-(m^2+3m-1)x+m+3=0$ $a)$ If $x$ is fixed, determine the values ​​of m for which the equality is true $b)$ Determine the real numbers $m$ for which there are exactly three distinct values ​​of $x$ for which the...

The title says it all. I would like to have a solution, preferably one which is as elementary as possible, of the exponential Diophantine equation $$ 2^x - 3^y = 7 $$ where $x,y$ are non-negative integers. Note that some small solutions are $(x,y)=(3,0)$ and $(x,y)=(4,2)$. If I really had to solv...

Looking at almost 10 year old notes from a course on commutative algebra, I found the following exercise which I had apparantly not done back then: Task: Compute the spectrum of the ring $R = \mathbb{Z}[x,y]/(x(2+xy),y(2+xy))$, where $\deg(x) = 1$ and $\deg(y) = -1$. Out of curiosity I started do...

I. Fibonacci and Lucas numbers $$F_n = 1,1,2,3,5,8,13,\dots\\[7pt] L_n = 2, 1, 3, 4, 7, 11, 18\dots$$ There is a relationship between two consecutive terms such that, $$M(x,y) = x^2+xy-y^2$$ $$M(F_n,\,F_{n+1}) = \pm1$$ $$M(L_n,\,L_{n+1}) = \pm5$$ with the sign depending on whether $n$ is odd or e...

Let $K$ be an algebraically closed field of characteristic $0$. I want to see that $K[s^2, st, t^2]$ is integrally closed. The following proof is given at $k[x^2,xy,y^2]$ is integrally closed : We have $\newcommand\quotient[2]{{^{\Large #1}}/{_{ \Large #2}}} R = K[s^2, st, t^2] \cong \quotient{K[...

Say, I provide jq with the following JSON body as input: {"person1": {"name": "foo"}, "person2": {"name": "bar"}} Is it possible to have jq assign person1.name to environment variable PERSON_1_NAME and person2.name to environment variable PERSON_2_NAME, so that I don't have to run jq multiple ti...

Where is the distribution logo stored, which is displayed at the bottom of the GNOME login screen? Besides, how to remove the logo correctly. Not just remove the image, but remove links to it, etc. I saw this answer. Apparently this is true only for Ubuntu. Tell me how it works in other distribu...

This is a bash date conversion/comparison question. How do I compare dates $d1 and $d2 below where: $d1 has format %-m/%-d/%Y %-I:%M %p (US-style %p with AM/PM) and $d2 has format %Y-%m-%dT%H:%M:%S.%3NZ #!/usr/bin/bash export d1='5/30/2024 7:52 PM' export d2='2025-01-08T18:07:23.000Z'

How To Upgrade Major Versions There are plenty of tutorials on Google using the search term Upgrade from Jammy to Noble. All of them contain a summary of the following steps in the following order (All these should be preceded with sudo, or use sudo -i): apt update apt upgrade <== This ensures 2...

Simpler value-initialization: UUID() : uuid(std::array<const uint8_t, 16>{ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }) {} Can just be: UUID(): uuid() { } (Well, there are many other ways. Basically, we just need to do something to it that isn't just leaving it to the default: {}...

Ch nahi hai kya kr rha hu to get the chance I don't think it was so proud to be a good day of the chance to win the same thing I have a great time with my family and soul

I am working on a Python program using RDKit to compare molecules and detect specific substructures, particularly catechol and dimethoxybenzene patterns. However, I am having trouble correctly recognizing these patterns, especially for the Piceatannol molecule. Context: I am using RDKit to genera...

I have what I'm sure is an elementary question, but I can't seem to make progress on it. An old chestnut in presenting the Compactness Theorem of first-order languages is to contrast with a natural language like English. It goes something like this: Let $\sigma_0$ be the sentence, "There are fin...

The 2025 Community Moderator Election is now underway! Community moderator elections have three phases: Nomination phase Primary phase Election phase Most elections take between two and three weeks, but this depends on how many candidates there are. Please visit the official election page at ht...

The 2025 Community Moderator Election is now underway! Community moderator elections have three phases: Nomination phase Primary phase Election phase Most elections take between two and three weeks, but this depends on how many candidates there are. Please visit the official election page at ht...

I have seen many students struggling with the concept of topological vector spaces. They get stuck with the proofs of quite trivial results even though they feel it is true. However, the main problem is that they fail to translate the intuition into precise mathematical arguments involving topolo...

Fatal error: Uncaught Exception: El coordinador con ID undefined no existe. in C:\xampp\htdocs\Intranet-Sacmag\models\Propuestas.php:16 Stack trace: #0 C:\xampp\htdocs\Intranet-Sacmag\controller\propuestas.php(17): Propuestas->insert_propuesta('Prueba10', 'SACMAG', 'undefined', '1', 'MXN', 'undef...

John 20:28 ESV Thomas answered him, “My Lord and my God!” It is clear from Scripture that the one God is the Father, and the one Lord is the Son. 1 Corinthians 8:6 ESV Yet for us there is one God, the Father, from whom are all things and for whom we exist, and one Lord, Jesus Christ, through w...

I'm thinking that that is the case since it is his sister who is taking care of him, and not his mother or wife: John 11:1-3 NASB95 1 Now a certain man was sick, Lazarus of Bethany, the village of Mary and her sister Martha. 2 It was the Mary who anointed the Lord with ointment, and wiped His fe...

Background In 2021, we launched the Alpha of the new Stacks Editor. After incorporating your feedback, we launched Beta 1 along with Ask Wizard in July 2022, followed by Beta 2 a month later. We continued to collect your feedback and address bugs, but eventually, the project was deprioritized to ...

Answer The “all creation” as we see in the Greek Colossians 1:15 is always referring to the entire humanity. Explanation Let us see what Scripture says about “all creation”. We can see that some versions have the same as “the firstborn of every creature”. So, what exactly is this reference, “all ...

RAW: Detect Magic penetrates the field and detects behind it On first glance, intuitively, Anti Magic Field should block Detect Magic. After all,what are 1ft of stone compared to 20-ish feet of active anti-magic? On a second reading of the spells, the actual ruling becomes more clear because two ...

What are on-topic new questions Stackoverflow in 2025? I have a question about the purpose of stackoverflow now, since it turns out that this is the largest site for questions and answers on programming, but the current meta prohibits you from asking questions related to programming(that were all...

We have planned maintenance that will impact our chat servers. The window is Tuesday February 18th @ 14:45 UTC (Tuesday February 18th @ 9:45 AM ET) (Aka: nowish). During the maintenance window, chat will be unusable and likely throw several errors. The sites will continue to function normally and...

Not a fallacy. There can be valid reasons to bring up sympathetic cases. For example, it may be a discussion about whether to cut some social benefit for a whole group of people, a group which contains some very sympathetic cases as well as some cases where we would be less sympathetic. Bringing ...

The issue is that I am not sure what the right approach is when calculating the Partial Radial Distribution Function (PRDF). I mean, when you try to compare the results from ASE for water molecules with the reported values of experiment. You see this, Then, I compare it with the total RDF of wat...

The issue is that I am not sure what the right approach is when calculating the Partial Radial Distribution Function (PRDF). I mean, when you try to compare the results from ASE for water molecules with the reported values of experiment. You see this, Then, I compare it with the total RDF of wat...

I’d like to bring to your attention a request from Michael Rozenberg, one of the most prominent members of the Mathematics Stack Exchange community and one of the best in proving inequalities. He has advocated for the creation of a tag for the bacteria method, a powerful technique widely used in ...

Please don't confuse my question with this question Do scriptures allow Hindus to marry foreigners? My question is a bit different because in that question i believe it is assumed that marrying a foreigner is automatically by default marrying a "Mleecha" But I'd like to point out that while it is...