What if we do tests, try reduce variance, but still can't get low p-value to reject the hypothesis. How to find out that there's no difference, and if so we can choose variant B just because we like it more?
I need a little help deciphering a document. There are two characters that I'm unsure about, and I would appreciate your expertise. The first one seems to be 鵬, with the 朋 written together, but I'm not entirely certain. The second character is a bit trickier. I've searched through several diction...
The following code fails. I am looking for some advice.
\documentclass{beamer}
\usepackage{nicematrix}
\usepackage{tikz}
\NewDocumentCommand\drawstrike{ mmm } {
\begin{tikzpicture}[
remember picture,
overlay
]
\draw[
very thick,
red,
...
I'm running Mathematica 9 -- quite an old version.
I have a list of (x,y) coordinates. I wish to plot them as either a density plot or a contour plot to show the local density of points. How do I do this?
In the following representative example, the (x,y) coordinates are stored in the list data....
(I was told that this was the best place for this question)
What's the proportion of Oxygen in a typical white dwarf relative to the proportion of Carbon?
I remember this book I read a long while ago and my library didn't have the second book so I dropped it. I think it was called "Push" or "Pull" but when I search it up the right book never shows up. I don't know the name of the author.
All I know is that the girl tries to save a deaf girl from ge...
In the Wikipedia page on Interval Arithmetic, the example for the Dependency problem is that
$f(x) = x^2 + x$ on the interval $\left[-1, 1\right]$ is $\left[-1, 2\right]$.
I don't understand why this is the case. Looking at the calculations
$$\left[-1, 1\right]^2 = [0, 1]$$
why?
If I just look at...
Yesterday I was installing a BB-MT501 HollowTech II bottom bracket into my ~2006 Trek 520 frame. This frame has a 68mm BB shell.
I was following the directions on Shimano's website: https://si.shimano.com/en/dm/LAFC001/install_remove_bottom_bracket
My process:
Bike frame BB shell was chased and ...
Way of the Dog
(Monk Sublcass)
Certain monastaries in the forgotten parts of the world train in an obscure form of martial arts. Each monk is gifted a puppy of a highly specialized dog breed and the two are raised together. The monk takes care of the pup and trains it himself, forging a lifelong ...
I have implemented a breadth-first search algorithm to find the distance from a point to an edge of a grid. The grid consists of spaces that may have walls between them, effectively blocking certain paths. Currently, I have a solution that performs well, but I am looking for ways to optimize it f...
It appears that Jesus is speaking in third person because he states that he will send another comforter in v16 and then goes back to first person by saying that he will come to comfort the disciples in v18.
How to make a adjustable stepped "stairs" math function?
Like this one, including the adjustable stair corners:
This was a great answer but the smoothness of the steps needs to be animatable also.
I saw the following inequality on another website without any solution: for any $n\ge 0$, show that
$$\min_{a_1,a_2,\cdots,a_n\in\mathbb{R}}\int_0^{+\infty}(1+a_1x+a_2x^2+\cdots+a_nx^n)^2e^{-x}dx=\frac{1}{n+1}.$$
At the minimum $\{\bar a_j\}_{j=1}^n$, we have for $k=1\dots n$:
$$\int_0^{+\infty}(...
Superlatives of adjectives ending in -lis are usually formed with the suffix -limus. For example, the superlative of facilis is facillimus. So, why is the superlative of fertilis fertilissimus, rather than fertillimus?
I am attempting to get my GED behind my parents back (let's not get into why I need to do that) and I am creating an account at the GED website. It is asking me whether I am "currently enrolled in high school" and I am not sure what that would entail. I am currently being homeschooled under an um...
I am working now for a while with bias calculations. I have found a good turorial to calculate it by my own and I have seen that there are already calculators on internet, which made my life much easier than i supposed to manage. I have now a circuit below. This is one is a good one, I think so. ...
I am interested in the current state of the art on the difficulty of verifiability of a QMA complete problem, such as the local Hamiltonian problem. Suppose you are given a solution to a QMA complete problem, and you would like to verify it. Is the act of verification efficient for a classical ve...
I've run around the depths for quite a while (100%-ed the lightroots) and I realized... I never saw a blood moon in the depths.
The blood moon is essential because it causes enemies/ores to respawn for farming.
But if you stay in the depths, would that mean things never respawn/restock as long as...
Would for example a sentence like ルームメートが好きだけど、彼はいつも観た後にテレビをつけっぱなしだね。work to say "I like my roommate (like in a non romantic way, as a friend, buddy, etc..) but he always leaves the TV on after he watched it." work? Or would the 好き automatically give the connotation that I'd like my roommate in a...
According to the Anatta-Lakkhana Sutta, the Buddha asks us to treat the five aggregates (form, feeling, perception, mental formations and consciousness) as "this is not mine, this is not I, this is not myself".
Since "this is not mine", "this is not I" and "this is not myself", the Buddha asks us...
It was always my understanding that quad tournaments are divided up with an eye toward minimizing rating ranges within the quads. This (hopefully) lets everyone play against people of roughly the same skill level, (again, hopefully) leading to well matched games throughout the whole tournament fo...
The free-will defense is an argument commonly attributed to Alvin Plantinga, who developed it as a response to the logical problem of evil. However, in developing this argument Plantinga unwittingly ended up reinventing/rediscovering the Molinist doctrine of middle knowledge, so the key ideas of ...
I would like to embed something like this into my LED application and measure the total current supplied (ideally I'd want to display watts but can't find such a device).
The problem is my power supply has several 12v outputs that I would use for different branches and I'd like to measure their t...
There are meaningful questions we can ask about Euclidean geometry which could not have been posed in the time of Riemann or even of Hilbert, and which would have made no sense at all to Euclid. For example,does two-dimensional Euclidean geometry emerge as the large-scale limit of a quantum geom...
I was reading this question when I recalled a modern movie I'd seen in the past 3 years about a girl AI that was created illegally. I believe the girl was supposed to act as if she were somewhere around 10-12 years old.
Male/boy robots are legal, but the female version is considered too erratic a...
I was out with my gravel bike the other night and I didn't thought it would be dark before I would be back.
So I didn't bring my attachable lights because its kind of big and bulky.
Is there a bikelight product which is very hard to steal or very portable ?
Do you always bring your light, or have...
The free-will defense is an argument commonly attributed to Alvin Plantinga, who developed it as a response to the logical problem of evil. However, in developing this argument Plantinga unwittingly ended up reinventing/rediscovering the Molinist doctrine of middle knowledge, so the key ideas of ...
I recall a quote of the sort "Facts are the enemy of truth" attributed to Miguel de Cervantes in his book Don Quijote de la Mancha. However, I could not find the quote in the book by searching for "truth" or "enemy". There are also some sources on the web claiming the quote, such as here, here, o...
In reflecting on these three terms, selichah, mechilah and kapparah, they are often thought of simply as synonyms of forgiveness.
But trying to focus on their specific meanings in the context of the judgment of the Heavenly Court and how they are used in the liturgy of Rosh Hashanah and Yom Kippu...
I plan to make my character an astral self monk and plan to later on take rogue and possibly fighter for the psionic subclasses. For roleplay/backstory purposes I asked the DM if I could have vulnerability to psychic damage.
They said yes but want me to gain a resistance to another damage type. I...
Someone I knew from school is starting a company. I connected with him over a video call for an informal interview. At the end he said he could see the reflection on my face from when I switched windows to the note taking app, and asked if I had been taking notes. I said yes. He said I should hav...
I've just started a project, trying to do simulation of electrodynamics using the well-known Maxwell equations:
$$
\nabla \cdot \mathbf E = \rho \\ \; \\
\nabla \cdot \mathbf B = 0 \\ \; \\
\nabla \times \mathbf E = -\frac{\partial \mathbf B}{\partial t} \\ \; \\
\nabla \times \mathbf B = \mathbf...
The question states: $$
a,b \in [0,1]
$$
$$
P(a\cdot b > \frac{1}{2}) = ?
$$
I am assuming that the probability $P$ is at most $1-\sqrt{0.5}$ since, $\sqrt{0.5}^2 = 0.5$, meaning that if and $a$ and $b$ are less than $\sqrt{0.5}$ then the product $a \cdot b < 0.5$
But that's as far as I can go,...
Consider a measurable space $(X,\mathcal{A})$. Let $\mathcal{M}$ denote the family of all countably additive measures $\mu\colon \mathcal{A}\to [0,+\infty]$. This family can be made into a partially ordered set by setting $\mu\leq \nu$ iff $\mu(V)\leq \nu(V)$ for every $V\in \mathcal{A}$. It can ...
I see in some mix/max guides saying that "since your warrior will have a poor Will save, take Iron Will at this level to boost it up a little".
But I feel the Will save will be in the trash level anyway and a +2 won't do much difference. Especially when Steadfast Determination is banned. (And it ...
So, I purchased two new Kasa lightswitches to replace two standard switches in a 3-gang box and encountered a lot more than I was expecting. Almost every cable looks to be black, which is not what I expected at all. I feel moderately handy and have swapped out several other switches and outlets i...
Say we have a planet that takes 8 Earth days to fully rotate on the axis. At a latitude of 45 degrees, during the winter solstice, its day lasts 1 Earth day, or 24 hours, and its night lasts 7 Earth days, or 1 week. What axial tilt will result in a day length of 1/8 of the axial rotation at an la...
Having some trouble doing a copy in bash. This works fine:
# Enable extended globbing and include filenames beginning with a '.'
shopt -s extglob dotglob
# Copy git repo to expected place
cp -r !($YOCTO_DIR) $POKY_DIR/$GIT_REPO_NAME/
But when I put an if statement round it:
if [ -z "$FROM_JENKINS"...
Let your conversation be without covetousness; and be content with
such things as ye have: for he hath said, I will never leave thee, nor
forsake thee. (Hebrews 13:5, KJV)
The text indicates that God (referenced in prior verse) has said this. But where in the Bible is it recorded? What seems ...
In The Return of the King, a series of large wooden pyres—beacons—are lit, each in once the previous one in order appears to burn, and so in this way lead to a beacon visible from Meduseld. This beacon serves as a call for aid by Minas Tirith. (In the Peter Jackson film, Pippin Took, under the gu...
This might sound a bit weird, but given any open subset $O$ of $[0, 1]$, is it necessarily true that the closure of $O$ is “almost open” under the Lebesgue measure, in the sense that there exists an open subset $U$ which equals $ \bar{O}$ up to a null set? This holds for all intervals, hence also...
The alphabet snake
is a master of camouflage. See if you can spot the snake hiding in plain sight on this old newspaper clipping:
Here it is:
With the snake removed, you can read the original text:
Now see if your camouflage skills can match those of the snake. Figure out how the sn...
I have been learning about elliptic curves. In particular, I have been trying to understand the proof that an elliptic curve (let's assume it's nonsingular, if it matters), say $E:y^2=x^3+ax+b=:f(x)$ over $\mathbb C$ is always isomorphic as a topological group to $\mathbb C/\Lambda$ for some latt...
In one of Feynman's lectures he mentions that:
Of course it is generally not true that any three numbers form a
vector
In order for it to be a vector, not only must there be three numbers,
but these must be associated with a coordinate system in such a way
that if we turn the coordinate system, ...
My uncle flew for Mission Aviation Fellowship (maf.org) for a university in Texas, and I believe that he was flying a Cessna to the Amazon (among other places). He actually knew Jim Elliot (who went to the Waodani of Ecuador), the martyr about which the movies "Beyond the Gates of Splendor" and "...
I'm clearing a drive with dd. It's a USB device and 120GB and it's taking a very long time:
dd if=/dev/zero of=/dev/da0 bs=1M status=progress
I have tried messing with the block size (smaller and larger values bs=4M, bs=8M, etc) but nothing seems to make much of a difference. It's writing at abo...
I'm a beginner in operator theory and I'm trying to understand just one step in a proof,which claims that if $H$ is a Hilbert space, $A\in B_1(H)$(that is , $A$ is a trace-class operator), and $U$ is a partial isometry such that $UA=|A|$, then $A=U^*UA=U^*|A|$. I have tried to prove the equation "...
There are many GMs who sometimes play the London system, but none of them play it exclusively. By "exclusively" I mean play it in over 99% of my games when I'm White, I mean adopting the London system not as a secondary weapon but as my only weapon. So if I continue to learn and improve and becom...
I'm trying to learn the simulation nodes but just can't wrap my head around it.
This effect probably could be done with the regular geometry nodes, but I think it would be so much simpler with simulation nodes, since you could blast away a new strand per frame.
So, how to create this following ef...
I am confused. My question is very basic, someone please enlighten me.
If polarized capacitors should not be used in reverse polarity then why does every textbook (like the one I am using, Grob's Basic Electronics) show polarized capacitor symbols in AC circuit examples?
I couldn't find the ans...
Which wind instruments are often doubled in symphonic orchestra just for the sake of loudness?
What I mean is two instruments of the same kind and type (for example, two bass clarinets, or two a3 trombones) that play in unison exactly the same part throughout the whole peice, which means that bot...
Varolz, the Scar-Striped gives all creatures in your graveyard Scavenge equal to its mana cost.
Scourge of the Skyclaves's power and toughness are equal to 20 - the highest life total among players.
Creatures like Scourge of the Skyclaves have their power and toughness apply in all zones, includi...
I just got a new job as an analyst but I’m being tasked with an administrator task and just looking for insight.
We have a Windows server 2003 (32bit) that has Microsoft SQL Server 2005. I have been tasked with upgrading it to the latest possible windows & SQL server.
Since both the sql server an...
I want to draw many TikZ pictures that contain subdiagrams like:
Modulo the styling, which is below, I can do this using the code:
\begin{tikzpicture}
\node[vertex](1) at (1,0){};
\node[vertex](2) at (2,0){};
\draw(1) to[out=60, in=120]node[colour]{$1$}(2);
\end{tikzpicture}
I need to dra...
There is a string field x, contains value a/b/c/d
The order of a/b/c/d is changed infrequently , only once a year or several years.
What is the best approach to store this config?
Currently , it's being put in config file and there is discrepancy between prod config file and source control.
If a machine can decide a context-sensitive language (like the language of palindromes with a non-linear center) is that fact a proof that the machine is Turing-complete?
Can this be used to prove Turing completeness of a programming language when a program that can decide a string of a context-s...
I recorded myself saying "Ah" in the tone of the note C3 which is about 130Hz, this is what it looks like:
Then I applied an EQ filter to it, so that there would be no frequencies above 1000Hz, and suddenly I hear "o" instead of "ah".
I moved the filter to 700 and got "u".
I moved the filter to...
I'm wondering why evaluating a sinusoid that matches one of the frequencies of the DFT basis functions has a magnitude of $N / 2$. Using this definition of the Discrete Fourier transform, it looks like this holds (I guess for non-zero $k$ and $N \geq 3$):
$$ \left| \sum_{n=0}^{N - 1} a \cdot \sin...
I have a dataset with multi class for classification. After train and test, tried to plot with confusion matrix. And I found it really different with dataset with simple label true false or yes no. So I don't know how to read this kind confusion matrix.
This is my confusion matrix
As we can see ...
In book one, chapter VIII, of The Doctrine & Discipline of Divorce, it is written:
Upon these principles I answer, that a right beleever ought to divorce an idolatrous heretick unlesse upon better hopes: however, that it is in the beleevers choice to divorce or not.
The former part will be man...
I would like to make a representation of a cardboard box changing the relative position with respect to a fixed Reader, like this,
The two boxes are identical, but the top box lies on the narrow-long face, and the bottom box lies on a different side of the box, on the wide face.
However, I can n...
When bringing EMT run from outside to inside (THHN wires), do the wires just hang in the air from one conduit body (sitting outside) to the other conduit body (sitting inside the garage)? Or do I need to insert a 4" piece of conduit inside the wall (existing stucco/drywalled wall)?
Daniel 9:26 KJV
And after threescore and two weeks shall Messiah be cut off, but not for himself: and the people of the prince that shall come shall destroy the city and the sanctuary; and the end thereof shall be with a flood*, and unto the end of the war desolations are determined.9:26 Now aft...
I am doing Problem AT9 [[ Harvard-MIT Math Tournament February 27, 1999 ]] here: https://hmmt-archive.s3.amazonaws.com/tournaments/1999/feb/adv/solutions.pdf
As part of his effort to take over the world, Edward starts producing his own currency. As part of an effort to stop Edward, Alex works in...
Imagine the following graph in the Lightning Network:
B D
/ \ / \
A C E
\ / \ /
F G
and node A wants to pay node E.
A chooses to pay with multi-path-payment composed of the routes: A->B->C->D->E
and A->F->C->G->E.
According to the BOLT4 in a basic MPP all parts use the same paymen...
What happens when a bond expires? Will the mangers typically buy similar bonds or will they payout the cash (and hence the bond ETF will have a natural expiration)?
So the difference between Distributing or Accumulating Bond ETF is that, the first one will payout the interest rate payments and t...
A popular misconception in the layman public is that the Big Bang was some sort "explosion" at a single point of space, where originally all matter was concentrated and then it "exploded" outwards. This is of course different from the modern general-relativity understanding of reality, which is t...
How to perform the same mathematical operation on many attributes at once? I have multiple numeric attributes and I would like to divide the value of each by the polygon area which is stored in a separate attribute. There are dozens of these attributes to convert and I can do it manually for each...
I drive a 4-speed automatic with a 1.1L 70 HP engine. Naturally, I very frequently find myself in situations where pressing the gas pedal deeper doesn't increase acceleration (i.e. maximum engine load).
Some of these situations include
going uphill (speed decreases with time),
upshifting at ~2,8...
I'm a mathematician currently working on a problem involving splitting a square into two triangles, either by a line connecting top-left and bottom-right, or top-right and bottom left. I'm trying to think of natural names for these, but the only thing I could think of was acute and grave (after ...
Is there a tool for managing entries of a config file? E.g: by toggling comments, or setting some keys to some values. I know, for a one-time configuration it's easy to just use sed or awk like:
awk '/regex/ {print "# " $0} !/regex/ {print}' ~/.config/foo.cfg
The problem with this is that it's l...
How do I get the name (same a the directory name) of the current QGIS user profile in Python?
I found the QgsUserProfileManager but it seems weird as I have to initialize it manually with the path to the profiles directory. This can't be right as the running QGIS should already know about that. B...
I tried to restrict the display of the 'More Languages' button for limited users in Sitecore by modifying the read/write language role in /sitecore/system/Languages, but it wasn't sufficient.
Is there a way I can manage permissions for this button?
So in our last session my players stormed the lair of a priestess praying to her dark entity, who had summoned three shadow mastiffs for her protection.
The Blood Huntress decided she really wants to have one of the "good boys" as a pet. Which in general is totally fine for me. So after disintegr...
Does prioritizing one's mental health supersede adherence to Torah commandments until they have under control / recover from the intense mental health issues at hand?
For instance:
If attending synagogue causes anxiety.
If a man can only handle one child though peru urivu is more then that.
If w...
I need to write a summation operator inside a matrix. To achieve this, I'm using the code,
\begin{pmatrix}
\sum_{j+k \geq 2} \frac{1}{j! k!} a_{jk}r^j w^k \\
\sum_{j+k \geq 2} \frac{1}{j! k!} b_{jk}r^j w^k
\end{pmatrix}
which yields the following equation:
However, I expect to o...
My project have a layer of GRID polygons with the value of Population ("POBTOTAL"). On the other hand, there is a SECC polygon layer with the neighborhoods division.
Here is the data: https://drive.google.com/drive/folders/1m0hXg3lllbvDxeJQVqpnRFsE8sVJYMBv
And I add a screenshot of the approach:
...
I want to change the field separator (FS) only for a specific record, and I want the record ($0), fields ($N), and number of fields (NF) to be recomputed using the new field separator. But it doesn't seem to work.
Example: Here I have a single line which gets interpreted as three fields separated...
If I have the following zip:
my.zip
|- folder
| `- to-update.txt
`- some-other-file.txt
and a folder structure:
working-directory
`- folder
`- to-update.txt
I wish to copy the file to-update.txt from my working directory into the zip. To do that I would use:
# Currently in working-director...
I am using Postman to make a request to my Salesforce domain:
The response shown in the above example:
{
"error": "unsupported_grant_type",
"error_description": "grant type not supported"
}
That is with the Content-Type header set to application/x-www-form-urlencoded.
Then, if I move th...
I need to change picklist default value in the status of an external insurance case to "under review" if the users creating the record are Angelita, Caio or Ivan (Profile: External Insurance). Because these are responsible for acting on that case, causing it to be automatically under analysis.
At...
To join a meeting that I was recently invited, I installed zoom-client using snap install. However, after running it I, realized that the snap version is several releases behind the one provided on zoom.us download page. Why is this so and what is the recommended method to install the latest zoom...
I want to generate a random sample of size n from poisson distribution with parameter l but the sum of these samples should be equals to some number say y. Is there any way to achieve this? i dont want to generate n-1 samples and subtract the sum of these from y.
I need to reproduce the simulation done in a research paper I read. I tried to do it by myself last 2 months, but unfortunately without success.
I wrote to the first author of this paper but didn't get any reply still. I am afraid he will ignore my email. I am sure he receives a ton of such email...
The unit of a grammar book I am using which focuses on the pronoun Y contains this example sentence: Il n'y en a plus. It is listed together with Il n'y va pas. and Je ne m'y intéresse pas. and according to the unit it illustrates the formation of negations with the pronoun Y. The last two senten...
I have a number of keys on my keyring and want to find the correct key as fast as possible.
Unfortunately, all the keys look the same. However, I can see if the teeth are turned the same or opposite way as the two keys next to it.
The issue:
I pick up my keyring from my pocket and hold onto one k...
According to Wikipedia:
Japanese karate was first played in 1936
Funakoshi had trained in two of the popular branches of Okinawan karate of the time, Shorin-ryū and Shōrei-ryū. In Japan he was influenced by kendo, incorporating some ideas about distancing and timing into his style. He always ref...
I want to make the figure, but I can't do the dotted part outside the circle.
My codes are as follows:
\begin{center}
\begin{tikzpicture}[scale=2.5]
\draw[line width=.08cm,red,fill=yellow!15] (0,0)circle [radius=1];
\draw [line width=.08cm,blue,-Stealth] (-1.5,0)--(1.8,0);
\draw [...
Today, you need the @ character in many places, most notably in email addresses, but I suspect that when the syntax for an email address was defined, the sign was already supported in character sets and on keyboards, so it was easy to use for addresses.
Typewriters do not have an @ sign, so when ...
I want to prove series $\sum_{k=1}^{\infty} \left( \frac{1}{k} - \frac{1}{x+k}\right)$ converges uniformly for $x\geq0$. By Weirstrass test, i want to find sequence $M_n$ that satisfies
$|f_n(x)| \leq M_n$ for every $n\geq0$, $x\geq0$,
$\sum_{n=1}^\infty M_n$ converges.
So far i got for $x\ge...
Capturing a thread_local in a lambda:
#include <iostream>
#include <thread>
#include <string>
struct Person
{
std::string name;
};
int main()
{
thread_local Person user{"mike"};
Person& referenceToUser = user;
// Works fine
std::thread([&]() {std::cout << "Hello " << refere...
Here is some code I've written. I am welcoming any critiques, whether it is style/formatting, correctness (I believe it is correct) -- I would appreciate any advice on formatting unit tests, and any other thing that people may think of.
#include <string.h>
#include <stdlib.h>
#include <stdbool.h>...
In my apartment, hot water in the faucet is heated by an electric heater, while the hot water in the radiators for heating the rooms comes from a central gas boiler in the building. To me it seems like both systems solve exactly the same problem: producing a stream of water at around 60 degrees C...
This is not a science fiction movie request per se, but there IS an element of science fiction since people are made artificially older and younger in the movie:
I am seeking a movie where a boy with a crush on his teacher, makes himsef older using his nerdy friend's invention: a machine to accel...
Jeremiah 24:7 Robert Alter’s translation:
And I will give them a heart to know Me, for I am the LORD. And they shall be a people for Me, and I Myself will be God for them, for they shall turn back to Me with all their heart.
What does God mean when He says He will give Israel “a heart to know [...
I have a visa for Poland but not for Hungary. And I want to buy a cheap self transfer flight From Baku To Budapest wizz air, then wait for 17 hours to get in another wizz air flight from Budapest to Warsaw. Do i need transfer visa for that?
I won't have any extra baggage.
In QGIS I have a map of source [square] and receptor points [circles], see map. I also have a layer with ground-type data (Corine Land Type 2018). I want to know how the ground type changes along straight-line paths from the source point to each receptor point. I can't find any solutions for obta...
So I have come across three different definitions for set theoretic filters that are used in topology, all of which only vary in their first axiom. The three different first axioms for a filter over a set $X$ are:
1.) $\emptyset$ is not in the filter
2.) $\emptyset$ is not in the filter and $X$ i...
I'm studying a system with the following Hamiltonian $$ H = \frac{1}{2}P^TAP + \frac{1}{2}Q^T B Q$$ where $P,Q$ are canonical variables (4-vectors) and $A,B$ matrices such that $A = A^\dagger$ and $B = B^\dagger$.
I notice that $H$ could be written as $$H = \langle P, AP \rangle + \langle Q, BQ \...
In book 2 part 5 chapter 1, Pierre laments the failure of the masons mission. He says "We all profess the Christian law of forgiveness ... but yesterday a deserter was knotted to death and a minister of that same law of love and forgiveness, the priest, gave the soldier the cross to kiss before h...
I'm looking for a book series that I read over 10+ years ago. Here's what I remember:
The female character is enhanced ( due to injury? ); she's an agent, possibly for the government. One of her assignments is to bodyguard the male character, whom I believe is a musician. I believe his name begin...
I apologise for the inefficient typesetting of the question, this is my first time on the website. I was thinking about two series that are defined as below:
S1 = {-2, -3, -4, -5, -6 ... -∞} to negative infinity
S2 = {+6, +7, +8 +9, +10 ... ∞} to positive infinity.
If one were to take the sum of ...
We recently bought a flat in a house (in Northern Europe) with 5 flats in total. It does not have any bicycle storage at the moment. We discussed with the other owners of the flats to build an external bicycle storage on the property of the house.
Right now I am just trying to gather some ideas o...
So there’s a small animal species that live pretty simple lifestyles of eat, don’t be eaten, reproduce, and that’s it. They live in forest/jungle or swampy environments, eat a wide diet of insects or occasional plants, and are hunted by larger, faster predators (fish-like creatures and bird/mamma...
As we know, for infinite plate of charge, we sum up the rings's 𝛿𝐸⊥. Though, It got me thinking about 2 things.
Question 1: We assume the ring can be rolled and used as a rectangle whose width is dx(the thickness of ring) and height as 2px(x is radius). x is definitely inner radius. Though, it ...
I have intuitively thought that one of the following must be true:
White has a forced mate from move one.
White doesn't have forced mate, but does have a forced draw from move one (and in turn, black also has a forced draw)
Black has a forced mate from move one.
So, either one of the two colour...
I've been a software developer for 20+ years, although it's been an unusual career. I've mostly worked on either legacy projects, or small standalone, non-public-facing apps and so only a couple of times has it been mandated by my employer to include unit tests in my work.
To be honest, I strugg...
Dear Latin or Greek experts,
I'm doing a project on the statistics of coin tossing. I would like to provide some references to ancient Greek, Roman, or other texts that reference the practice of coin tossing. Which I understand is referred to as "heads or ships" (navia aut caput).
Does anyone kno...
When adding a new individual with a current employer we are getting the following error:
Error thrown
Call to undefined method
CRM_Contact_BAO_Relationship::legacyCreateMultiple()
The individual contact is created but no link to the employer. If we try to add the current employer on the contact...
I really appreaciated the whole rejection of the "hero" ideal of Dune Messiah, and the effort FH put into making the culture and society of the empire even deeper than in the first book.
For this reason, this detail immediately bugged me and I can't think of a good explanation for it.
The whole f...