I've bought a strimmer for a few quids and I've just managed to start it. However, the air filter is missing. The part is discontinued — or likely to cost me more than the strimmer itself in case I manage to find it in a remote part of the Internet. I'm missing part 17 in the picture above — sim...

Let $k$ be a field, $R=k[x_1,\ldots, x_n]$, $V$ an algebraic set and $I:=I(V)$ the ideal formed by the polynomials that vanish on all points of $V$. I am trying to get a firm intuition of what the quotient $R/I$ is. I got told that this quotient is exactly the set of polynomial functions on $V$. ...

A number of news services have report on the Connecticut legislature voting to "exonerate" witch convictions from the 17th century. For example, this article from wtnh.com news: With distant family members looking on, Connecticut senators voted Thursday to absolve the 12 women and men convicted...

I would like to encrypt big files using an authenticated cipher. I am convinced to use approach where file is divided into smaller manageable chunks that fit easily in memory (e.g. 1-10MB size) which are encrypted, authenticated separately. Unfortunately such approach is prone to "reordering" att...

In the first answer to this question, it is stated that: This happens even if the base and collector are at the same voltage (!). Basically, one way to model a transistor is as the base-emitter diode, which is forward biased in normal operation, and the base-collector diode, which is reverse bia...

I need to use the character at the code point 0x021C and set the document in a Times New Roman-like typeface, but those available to me have the corresponding Unicode slot empty. The Junicode typeface fills the gap, though. I would like to use the advantages of the newtxtext package compiling wit...

I am confused about the meaning of "global" in "global minimum-variance portfolio". The sources that I have encountered so far do not explicitly state what "global" means. So what is the difference between "global minimum-variance portfolio" and "minimum-variance portfolio"? I will appreciate any...

It's 2012, and a big extraterrestrial space vehicle (Secretly created by an ET ultra-intelligent entity) explodes in Earth's orbit, and its pieces crash on the surface and into the oceans. These extraterrestrial wrecks are recovered by some nations, and through reverse engineering, the scientist ...

Possibly related to How does the load factor vary when the aircraft pitches up/down? Could you help to settle a debate? I have recently flown a dead-stick approach with a CFI in the right seat. Turning base I was slightly high, and deliberately went past the final track, then banked to around 30 ...

I'm sure this must exist, but all of the information is hard to navigate: I'm putting together QoL custom workflow tools as a way of getting started in Python scripting for Blender, and I'm finding that much less of my time is being used writing or even figuring out the structure of code I want t...

Here is what I understand so far: A program that was too large to put into main memory was broken into several overlay regions. Once you needed data from outside of the currently loaded region, something happened to swap out the overlays. But what is that something? If I understand how virtual me...

I'm writing a teaching statement for a cs/mathematics teaching position. I start the statement with a section "Personal Background" in which I simply say that both my parents and brothers are involved in teaching in one way or another and that makes me encourage different students to find their o...

My question is kind of two fold in that I'm trying to figure out how these classifications work. In the Monster Manual, Devil's have a classification system: Lesser Devils and Greater Devils. Now, the Abishai are considered Devils but they are from Mordenkainen's Tome of Foes (of the newer one if...

I have a question after a combat with animated furniture: I have the ability Abrupt Jaunt Wizard specialist ability from PHB2: Abrupt Jaunt (conjuration): You teleport up to 10 feet. Activating this ability is an immediate action... You can’t activate this ability in response to an attack that ...

SCOTUS uses a distinct in-house citation style which, although it has a lot in common with the Bluebook, is not the same (differing in key places) and is as far as I know unique. Is the citation style manual used in house for SCOTUS publicly available? Either because the Court has published it, o...

I am wondering if there can be a version of Ackermann function with better time complexity than the standard variation. This is not a homework and I am just curious. I know the Ackermann function doesn't have any practical use besides as a performance benchmark, because of the deep recursion. I k...

For good reason, U.S. law forbids people from carrying firearms on planes. However, last I checked, black powder "antique weapons" (such as cap-and-ball revolvers) aren't considered firearms. With that in mind, would it be legal to carry an unloaded (since you aren't allowed to have black powder ...

I honestly wanted a 1980s retro word processor that looks very similar to WordStar and WordPerfect and whatever word processor in that decade for my Android tablet. I tried looking for them on app stores to no avail. From what I seen on the Internet, I really like the WordStar's and WordPerfect'...

For example in STM32 MCUs, the CAN pins are CAN RX and CAN TX. Therefore to transform it to CAN H and CAN L, we need to use external CAN tranceiver. What's the purpose of it? Wouldn't it be easier to connect CAN H and CAN L directly to MCU, without using CAN tranceiver at all?

The default behaviour of the o and O when prepended with a count is to keep the cursor always at the bottom. I'm wondering if there's a native way to get the cursor at the top. The way I'm doing this for this example is: 5O<Esc>4ki Example: Starting from this: line 1 qux [here is the cursor in `...

I'm writing a Master's thesis on knot invariants and I'm trying to chase down the original source that introduced the unknotting number and perhaps proved that it is a knot invariant. The texts I've consulted that reference the unknotting number already discuss it in terms of being an established...

When I was reading some papers, I encounter some arguments: "(Assuming Axiom of Choice) We can well-order our set $A$ in a way such that every proper initial segment has cardinalities strictly less than $|A|$". I can't figure out why we can do that. The standard definition of the cardinality of a...

Are there any Magic cards which test for first strike? I’m thinking of something like “Destroy target creature with first strike” or “Creatures with first strike get +1/+1 until end of turn”.

At present, I do this by manually setting every cell in a notebook to be Initialization cell. There must be a better way! When I finish work one day and re-open the notebook the next day, I want all the cells to be evaluated.

What do you think is a suitable word to use instead of the informal "stuff" here, and is "appropriate" used correctly in this context? I will give you the number of the appropriate team that will be able to help you with questions with regard to administrative or financial [stuff].

A minor who signs a contract can void it at any time, which might cause damage to the other party. Let's consider this scenario: A minor signs a contract with an adult online with neither party knowing each other's age. So the adult assumes that the contract is legally binding for both. The minor...

I can't find anything on what happens to a caster's prepared spells when they die. I did find this about a PC's attunement to their magic items: A creature's attunement to an item ends if the creature no longer satisfies the prerequisites for attunement, if the item has been more than 100 feet a...

Page 460 of Numerical Optimization by Nocedal and Wright contains the following algorithm under the name projected conjugate gradient However, Jonathan Richard Shewchuk list what seems to me to be the same algorithm on page 46 of his classic "An Introduction to the Conjugate Gradient Method With...

The aircraft have only one rudder deflection in this picture

Note that a set $A$ is said to be extremely infinite iff for each set $a$ : $|A\cup\{a\}| = |A|$. Let $\alpha$ be a set. Prove that if $\alpha$ is extremely infinite, then there exists some $\beta \subset \alpha$ (in particular $\alpha \neq \beta$) s.t $|\alpha| \leq |\beta|$ Since we should d...

I’m writing a sci-fi story with the protagonist being a superhero/ flying brick. He’s the only super in the world and as a result, many governments, NGO’s, cartels (etc.), and powerful individuals desire his “services”. Some of these people are willing to go to any lengths to force him, if necess...

Is there an extra virgin olive brand produced in Spain, called "Clorlina"? Its barcode is 8436544133904, and I heard 84* means production in Spain. I have searched for "Clorlina" in Bing, with or without "olive oil", but only found it is an olive oil brand being sold in China (for example, here)....

There are three Scriptures that use a phrase similar to "not one stone will be left upon another". The first two are in Matthew 24:2 and Mark 13:2 and refer to the temple's destruction. The last one refers to the destruction of Jerusalem in Luke 19:44b. In all the explanations I have read on the ...

Is "Clorlina" a name of a person in Spain or Spanish-speaking regions? Is it a variant of "Caroline" or "Carolina"? There is an extra virgin olive brand produced in Spain, called "Clorlina"? Its barcode is 8436544133904, and I heard 84* means production in Spain. I have searched for "Clorlina" i...

Imagine a typical steampunk setting. Now, let's make two grand assumptions about it: Steam engines here are MUCH more efficient than those in our world. Yep, we have to violate laws of physics for this one. We can't use any electrical energy. To not touch physics again, let's pretend we self-res...

Does the center, or the tip, of the OpenStreetMap website teardrop icon, represent the coordinate point? I mean some websites, and Google Earth, use pushpins, but they also have cross hairs on the pushpin, so one knows they don't mean the "pin tip" at bottom, but instead the center of the entire ...

A good and well-established guideline for commenting a shell function is to put it before the function header. I am trying to follow these guidelines as much as I can, but this convention makes it hard to read the function's comments. For instance, I don't have access to the comments of my functi...

AND( Ready_for_Booking__c, OR( NOT(ISPICKVAL(StageName, "Purchasing")), NOT(ISPICKVAL(StageName, "Closed Won")), NOT(ISPICKVAL(StageName, "Closed Changed Order")), NOT(ISPICKVAL(StageName, "Closed Renewal")), NOT(ISPICKVAL(StageName, "Closed Lost")), ...

Sorry for the newby question, started reading Keynes general theory (1936) and am confused by this paragraph in Chapter 2: The traditional theory maintains, in short, that the wage bargains between the entrepreneurs and the workers determine the real wage; so that, assuming free competition amon...

I am a bit confused about the terminology used in the context of sampling of populations. The Horvitz-Thompson estimator, as well as the Hansen-Hurwitz estimator, for example, are examples of estimators introduced to deal with various sampling methods. However, I don't understand why they are con...

You are a chemist and ask your coworker to puzzle you. They give you this puzzle and ask you to solve it. LiPSiNArHCaScMgHCaFPSiK

This question was originally asked on MSE but may be better here. Algebroids are particularly interesting structures: they are basically categories enriched over $K$-Vect for some field $K$. This means the hom-sets are all vector spaces, and composition is "bilinear" in a certain sense. (Let's ju...

I'm doing time series forecasting using Prophet. My forecasting model returns not only a prediction y_hat, but also an uncertainty interval y_hat_lower and y_hat_upper. I wanted to calculate some metrics, like RMSE, MAE, etc. to evaluate the model's performance but don't know how to incorporate t...

I see a lot of monsters have diplomacy ranks on their sheet, and some of them even have a pretty high rank of it. I assume that means those monsters should be able to (and would likely tend to) use words to make PCs their friends and simply ask them to leave instead of just jumping into combat li...

Any reason to prefer one over the other? Or are they exactly the same?

The first thing we would need to consider is that Earth has already been hit by a protoplanet 4.5 billion years ago, which was half it's size, meaning the Earth may have a chance of staying intact after the collision. The next thing we would need to think about is the Moon. The impact would have ...

I am new to blender and HDR. I wonder if there are any physical meaning for the pixel value in a HDR image. For the image example below, it has pixel value ranging from 0.000 to 16.672. Does it mean the irradiance in the unit of W/m2, or any thing else?

I created a new product type, and I want to create a product page in the frontend. How can I customize catalog_product_view.xml without affecting other product types?

From the New York Times: The world’s finest climbers have long mused about the possibility of a ropeless “free solo” ascent of El Capitan in much the same spirit that science fiction buffs muse about faster-than-light-speed travel — as a daydream safely beyond human possibility. Which structure...

Ok, I do not have much experiencing using (or even integrating) Heaviside-step functions, so I am looking for a little help. The integral in question is, \begin{equation} 6m^2\int_0^\infty d\mu \frac{1}{\mu^3}\sqrt{1 - \frac{4m^2}{\mu^2}}\theta(\mu-2m) \end{equation} where $\theta$ is the step-fu...

What’s the best multi-chain provider? I want to use Polygon, Avalanche, Solana, & Ethereum.

I want to copy matched line that is too long that cannot select with the mouse in less, so does there exist another way in less? For example File: test.txt content is: line1: 12312sdfas23414123 liie2: aaaaaxxxxxxxxxxxxxxxxxxxxxxxfsdfsdfasdf sdfasdfasdfadsfasdfdfdfd........ line3: 134sdgas1212 I ...

My family member has a $37,000 CD that matures in December. She had planned to buy a house in January and use this money as part of her down payment. Recently she has an opportunity to exit her current apartment lease early and has found a house she would like to buy. But some of her money is tie...

I am using ECDSA P-384 for signing and verifying messages. The messages are basically stringified JSON. After receiving, the recipient verifies the signature using the public key. Should the public key be included inside the message (aka the JSON which gets stringified)? Or should I send the publ...

I'm just trying to print the current weekday (local time) using C++20 std::chrono. Seems easy enough (one, two, three): #include <chrono> #include <iostream> int main() { using namespace std::chrono; system_clock::time_point now = system_clock::now(); // system_clock::time_point now = sys...

I'm on a mission to find a movie from the '90s that fits this description. It's set in space, possibly with space prisoners. Our main character, a man, leads a group of soldiers or ex-convicts attempting a daring escape. I believe the protagonist might resemble a young Arnold Schwarzenegger. The ...

If so, how many nights and days approximately? Does it depend on the context? Our success has been the product of sleepless nights and days of hard work.

Suppose I plan to reactivate an airplane that has been stored in a boneyard for a year or two, or at least power it up and turn on the avionics. Also suppose for the sake of the question that the GPS does not remember its last position and needs to recalculate it. Finally, suppose that I don't ...

One of my D&D groups will be starting a level 5–20 campaign soon, and I have a character concept I'd like to use for it. Briefly, the character is a warlock whose patron is a mysterious coven from a deep ocean realm. The patron is similar to the Fathomless patron from Tasha's Cauldron of Everythi...

So let's say I'm not a physicalist and my worldview is that there are two worlds one with the physical stuff and the other where mental events happen. One can use math to model both these worlds. An explicit kind of example would be: Experience as an initial value problem? Question Is it possible...

In Chapter 1 of his Semiconductor Devices text, Sze gives a crash course (being generous) on solid state physics. At one point, Sze talks about two classes of transitions: Allowed direct Forbidden direct I am familiar with direct band gaps, but have never heard this additional distinction of al...

I heard that Lord Krishna was happy when Ghatotkach was killed by Karna during mahabharata war Why was he happy?

I am currently looking at a network topology consisting of ~40 DUTs. In this network, there is no hierarchy (like access core and distribution), and all the switches are connected in chain topology. Currently we have 6 switches chained together, each switch connecting to 6-7 DUTs (each DUT can ha...

I was given a painted scroll and would like some help in identifying the artist and finding out if it is of any value.

In engineering (in particular, in fiber optics), the logarithmic form of representing numbers is often used. It is convenient if the value sequentially passes through a series of points with input and output. And at each point, the output value is equal to the input value multiplied by a certain ...

I like math but I also like movies. I have been collecting movies all my life. My collection is rather huge: almost 25.000 movies. Being also a developer I was able to create my own online catalogue and pull various statistics from the database. There is one thing that puzzles me. Movies have rat...

I am reading this article: https://www.datacamp.com/tutorial/pca-analysis-r The article says: We need to center/scale the numeric variables, compute the correlation/covariance matrix and then invoke princomp with that correlation/covariance matrix as the first argument. The help page for princomp...

I have seen some images in which two linear regulators of the same type (basically the same part number) have their outputs tied together. I believe this is being done to increase the total current drive capacity since the current will be shared between the two voltage regulators. Can any off the...

I selected partially the torso and arms and made a duplicate out of the selection, with the idea of creating a coat to cover the body. The thing is that i did a temporal join of the arms and torso, explaining the face clipping here: What i want from this is a way to clip those leftovers inside th...

Someone in our party wants to have a magical item that slowly turns him evil, taking control over him and that will make him a possible BBEG down the line, with the chance of being saved by the party. He is an Indiana Jones kind of explorer and it would be something he found during his travels. H...

I try to type two following equations: These equations are not subequations. First number 1 in (1.1) and (1.2) means chapter. My problem is that each part of these equations is centering. I can't reproduce this alignment. First I tried alignat environment from amsmath package: \documentclass{art...

I understand there are often different laws in different states, if this is the case with this question I would appreciate answers mentioning what differences are there between states.

I am currently working on my thesis project (PCB designing) where I want to use some components on my PCB such as antenna and ublox NEO D9S chip. There is a company called Sparkfun, who makes PCBs based on chip ublox NEO D9S and have provided schematic/layout for their PCB online. On Wikipedia, ...

About 20 yrs ago I briefly possessed a collection of science fiction short stories by various authors. It began with a story titled Quietly. It was about a girl named Quietly who is being raised by her father. After only reading the first page or two of the story, the book passed out of my hands....

I was sent to a training centre, for a super secret meeting at 'No-Such-Agency', and arrived in Reception with the orange pass only to be told I must first visit Clearance with the brown pass, and then attend Vetting with the blue pass before returning to Reception with the green pass. Whoever sa...

The statement in the title seems to be generally accepted as true, but I have not seen proof. They are? The strict formulation I have in mind is the following. By an algebraic category we mean the category of algebras of some monad on $\mathrm{Set}^S$. In particular, this includes all the usual f...

I'm preparing for an exam and I would appreciate your help if you can tell me if there's a mistake in my solution. Question $6$ children are sitting on a merry-go-round: Now, we need to change their seats s.t kid $1$ doesn't sit opposite kid $4$, kid $2$ doesn't sit opposite kid $5$ and kid $3$ ...

In Demon Slayer anime until the Entertainment District arc, I believed that only Tanjiro can have marks, but in the Swordsmith Village anime arc, it is shown that both Muichiro and Mitsuri get demon slayer marks. However, in anime, it's not explained about the marks. So, in which arc the marks wi...

In quantum field theory, consider acting on the vacuum with unitary operators that are locally supported on a compact region. In such a way, can we obtain states that are orthogonal to the vacuum? If so, any examples?

I want to install the latest version of the Hugo package with apk in Alpine. based on pkg detail, the latest version is 0.114.1-r0 but when I put to run this code in Dockerfile, this has error: ENV HUGO_VERSION 0.114 RUN apk add --no-cache hugo=~${HUGO_VERSION} and says: 0.101 fetch https://dl-c...

The following is an extract from a CNBC article: Stateside, President Joe Biden clarified on Monday that the United States was not involved in the aborted weekend rebellion. Stateside appears to derive from WWII US military jargon and probably for that reason it is used to refer to the United S...

This question has a few moving parts - But I'll try to keep it simple. I have an external SSD. Sometimes it's plugged in, sometimes not. I've gotten past the FSTAB issues of hanging on boot - all is good there. I have a script that uses RSYNC to back up my home drive to said drive. When the driv...

Such a simple text makes me confused \def\say#1{The argument is #1, I see it} \say{\catcode`{=12 \bf Hello} \bye when TeX fails to compile it and reports Runaway argument? {\catcode `{=12 \bf Hello} ! Forbidden control sequence found while scanning use of \say. <inserted text> \par

I have the following list data = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}; I want to replace (rotate) each element by a onther using a for loop. So in the first step, de first element is rotated. In the second step, the first two elements are replaced. For example, after 4 steps in the loop, the output ...

I have a signal processing chain which goes: Every 256 samples, take 512 samples of input buffer Apply a Hann window to the samples Copy the windowed samples into the real components of a complex array FFT the complex array, obtaining complex spectral analysis data Modify the s...

Is there way to return boolean value from Material Selection Node if it's empty or has material? For example, i want to use it with switch nodes

By default Prophet will return uncertainty intervals for the forecast yhat. Unfortunately, the documentation about those "uncertainty intervals" is extremely vague, and it doesn't help that statisticians have precise definitions of both confidence intervals and prediction intervals (there is a ...

It is in the news that sharing deepfake intimate images to be criminalised in England and Wales in the Online Safety Bill: Sharing deepfake intimate images is to be criminalised in England and Wales. Amendments to the online safety bill will make it illegal to share explicit images or videos tha...

Description In general, our mobile app provides users with the ability to book classes in gyms/studios, etc. So, one of the main functions of the app is to search for some training to attend. In list/map representations of classes, the user can filter them by time/sport/type etc. Question Now, w...

I'm writing crime fiction. The current scenario is that I have a main character (late 20's) who is Algerian but the story is set in Chicago. He lives in the United States because, as a baby, he fled Algeria with his Uncle after his parents were killed. Rather than the cliche of say, a random car ...

How is daughter of Graf called? Wife of Graf is Gräfin, but how would be daughter called? Most languages have a term for daughter, but due to my pitiful level of knowledge, I can't exactly dig through German sources.

There is a shift between my numerical and analytical results in my simulation which is not good. However, I need to know exactly how much this shift is. The red line and blue lines are both lists.

I am looking for the analytic continuation of \begin{align*} & f_m(v,w) := \sum\limits_{k,l=0}^\infty v^k w^l {k+l+m \choose k} {k+l+m \choose l} \ , \end{align*} where $m \in \{1,2,...\}$ is fixed. The sums converge for small enough $|v|$ and $|w|$ and I have already made a few observations: We ...

As far as I can tell no one has asked this question before, so forgive me if they have. This also assumes the character here does not have an extra attack, so they are probably level 2 or 3 in exclusively fighter. I do not think this would be a good use of action surge, but it is interesting none...

Is the following a theorem of $\sf ZF+[V=HOD]$? If $Q$ is a property definable in a parameter free manner, then: $$\operatorname {Con}(\sf ZF + [V=HQD]) \implies V=HQD$$ where $\sf V=HQD$ means: $$\forall X \exists v_0 \exists v_1: Q(v_0) \land Q(v_1) \land \rho(v_0) > \rho(v_1) \land \exists \va...

I'm interested in how people just generate a question from scratch,(i'm preparing for indian highschool level competitive exam "iitjee"), i think people don't just start writing random stuff and label that as a question but, there are only four things i can think of they are using geometry some ...

I thought I know what a color is. And that there are color models, which you can convert colors between. But now, I am very confused: In the corporate design of some company, I find this color: CMYK 100/54/4/19, RGB 0/82/147. I assume the former is 0..100, the latter 0..255. At least for color ca...

This is an acrostic puzzle which uses cryptic clues. If you're unfamiliar with either or both of those, you can click the associated link. A complete answer should give the quote, author and source, as well as solutions and explanations of the cryptic clues. As always, I've created an interactive...

With RHEL 8.8 currently, and RHEL 9.x, the latest NFS version is 4.2. When NFS 4 was introduced, it did away with a few things in NFS3 one of which was multiple port numbers: NFS4 mandates all traffic now exclusively TCP uses the single well known port 2049. https://www.snia.org/sites/default/f...

This an almost MWE of a problem I encountered when working with associations. asc1 = <| |>; asc1[1] = Range[0, 9]; asc1[2] = Range[0, 9]; asc1 Out[150]= <|1 -> {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, 2 -> {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}|> The number 0 is in both values of this association, but Position d...

In the book of Genesis, it is said that he will crush your head and you will strike his heel and the creator will put enmity between her seed and his seed. Are the head and feet meant for an enemy in the kingdom of heaven? From where does it come from? Even in the book of Daniel the statue of the...

The story starts on April 2, when I found a critical mistake in a semi-famous recent math paper with 100 citations. I admire the paper and I find a very simple counterexample that high-schoolers may understand in 10 minutes. I contacted the original author, who is an editor of a top journal. He a...

let the centroid be the point $(x_c,y_c)$ where $$x_c = \frac{\int x ds}{\int ds}$$ $$y_c = \frac{\int y ds}{\int ds}$$ Find the centroid of the semicircle $x^2 + y^2 = a^2$, where $y >= 0 $ I was trying: $$ y = \sqrt{a^2-x^2}$$ $$y' = \frac{-x}{\sqrt{a^2-x^2}}$$ $$ds = \sqrt{1 + (\frac{-x}{\...

when I using xelatex to render this document: \documentclass[12pt,a4paper,sans]{moderncv} \moderncvstyle{classic} \moderncvcolor{green} \usepackage{ctex} \usepackage[T1]{fontspec} \usepackage{tgcursor} \usepackage[scale=0.75]{geometry} \setmainfont{lmroman10-regular.otf} \setlength{\footskip}{...

People who "... do not have more than 65% of their brain function provided by natural human neural tissue" according to a new, pernicious and poorly thought-out law "shall cease to be legal persons and become property of the nearest family member or holder of greatest corporate interest." Brain i...

Player spells or abilities that cause conditions always have a duration or cure style attached - poison and disease have their own rules, or casting Befuddle to cause the target to be clumsy & stupefied lasts for only the duration of the spell (1 round). But when the abilities are on a creature t...

I am pondering using port 249 for NFS RDMA in RHEL 8.8, using the NFS export secure option requiring the port be below 1024. https://www.iana.org/assignments/service-names-port-numbers/service-names-port-numbers.txt The IANA list of port numbers identifies it (249-255) as related or reserved with...

Any tips how to make the following plot show something? Replacing it with Plot appears to work, but I need log-log scale ClearAll["Global`*"]; a = (-10001 + 51 E^9900 + 50 E^10000)/(5000 E^10000); x0 = 1/100; tmin = 10; tmax = 1/x0^2; LogLogPlot[a t^-1, {t, tmin*100, tmax}, WorkingPrecision -> 10...

I've noticed that the latest NIV translation translates Galatians 5:17 differently to every other translation. NIV "For the flesh desires what is contrary to the Spirit, and the Spirit what is contrary to the flesh. They are in conflict with each other, so that you are not to do whatever you want."