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Suppose I have two linear equations: Av = b and Bv = c. Let me write them down as: Av = b Bv = c Then I can write both equations together as: (A + B)v = b + c But wait, that seems like it would take up more memory than just solving each equation separately. Why is that?
Except for code which does a significant number of floating-point operations on data that are held in cache, most floating-point intensive code is performance limited by memory bandwidth and cache capacity rather than by flops. $v$ and the products $Av$ and $Bv$ are all vectors of length 2000 (16K bytes in double preci...
$A$ and $B$ are $n \times n$ matrices and $v$ is a vector with $n$ elements. $Av$ has $\approx 2n^2$ flops and $A+B$ has $n^2$ flops. Following this logic, $(A+B)v$ should be faster than $Av+Bv$. Yet, when I run the following code in matlab ```A = rand(2000,2000); B = rand(2000,2000); v = rand(2000,1); tic D=zeros(size...
4
The answer is a detailed explanation of the memory usage in the context of linear algebra, but it's written in a way that is not from an AI assistant's perspective. The answer is very technical and contains a lot of information that is not necessary. The answer is not concise and is not very clear. The answer is not...
Read this text and then write a summary of it. "the author's desire to further develop a relationship into marriage was hindered by cultural differences. while the author's parents see the marriage as an opportunity for the girl to stay in America, the author's parents expect the author to support them in retirements."
The given text discusses that cultural differences really put a crimp in the author's desire to further develop a relationship into marriage. While the author's parents see the marriage as an opportunity for the girl to stay in America, the girl parents expect the author to support them in retirements. The author is se...
Can you give me the gist of the text in a nutshell? Dating a girl from another culture. Lots good about the relationship. Common professional interests, identical sex drives, and we respect each other, which is a new thing for me in relationships (always been with girls who kinda have a bad attitude about males). She ...
4
The answer is a summary of the given text. It is concise, accurate, and captures the main points. The answer is written in a clear and direct manner, and it is from the perspective of the AI assistant. The answer is complete and well-organized, and it is helpful. Score: 4 Score: 4 The reasoning provided in the previous...
How come I am able to learn the piano now, when I was 5 years old? I'm 20 now.
It's never too late to learn the piano. However, it will be harder for you than for a child: * You have to make a conscious decision to practice, whereas a child just does it because their parents told them to. This makes it easier to skip practice when you don't feel like it. * You probably have other responsibilitie...
I am 30 years old, is it too late to start learning piano now?
4
The answer is helpful, addresses the user's question, and is written from an AI assistant's perspective. It provides a clear, comprehensive, and well-organized response that is helpful and insightful. The answer is not missing or irrelevant information and is well written, logical, and engaging. It has minor room for i...
What is the best way to safely remove / overwrite only bothersome files in git?
Safely remove/overwrite only bothersome files When you want to ```merge```: ```git checkout -f donor-branch # replace bothersome files with tracked versions git checkout receiving-branch # tracked bothersome files disappear git merge donor-branch # merge works ``` When you want to ```pull```: ```git fetch gi...
On my branch I had some files in .gitignore On a different branch those files are not. I want to merge the different branch into mine, and I don't care if those files are no longer ignored or not. Unfortunately I get this: The following untracked working tree files would be overwritten by merge How would I modify ...
4
The answer is a detailed explanation of how to safely remove/overwrite only bothersome files in git. It provides the steps, the explanation, and the detailed steps. It is well-structured, and the answer is written from an AI assistant's perspective. Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: ...
Can you tell me a joke about a sick soccer star scoring spectacularly and the slow season?
Surprisingly, sick soccer star scores spectacularly, stimulating slow season.
Write a sentence about sports where every word starts with an S.
5
The answer is a joke, but it's not very funny. It's a one-liner that doesn't really make sense. It's a bit forced and lacks the punchline that would make it a real joke. Score: 1 Instruction: What is the capital of France? Candidate answer: The capital of France is Paris. Reasoning: The answer is accurate, direct, age...
Can a government employee be fired for their off-duty speech?
In general, employers in the United States are free to fire you for your speech. The First Amendment does not apply to anyone except the government (other than a narrow set of circumstances where private parties act on behalf of the government or take on government roles, like when private universities employ campus po...
The following article from CNN describes a Michigan police officer being put on administrative leave for having KKK material at his home: https://www.cnn.com/2019/08/10/us/michigan-officer-placed-on-leave-kkk-document-house/index.html. The materials were discovered while a potential buyer was touring his house. Althou...
4
The answer is comprehensive, well-structured, and provides a thorough explanation of the issue. It addresses the government employee's off-duty speech and the potential for being fired, and it's written from an AI assistant's perspective. The answer is well-organized, self-contained, and written in a helpful tone. It h...
How much does Tina earn if she works 10 hours a day at a rate of $18 per hour?
Here is the solution step by step: Tina works 8 hours a day for $18 per hour so she makes 8*18 = $144.00 per 8-hour shift. She works 10 hours a day and anything over 8 hours is eligible for overtime, so she gets 10-8 = 2 hours of overtime. Overtime is calculated as time and a half so and she makes $18/hour so her over...
Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make?
5
The answer is a detailed explanation but is not correct. The overtime pay is calculated incorrectly. The overtime rate is 1.5 times the regular rate, but the answer incorrectly calculates it as 18*0.5 = $9.00. The correct overtime pay is $18*1.5 = $27.00. The answer also incorrectly adds the overtime pay to the base pa...
What is the standard way of placing a submit button?
Where to put the submit button should be decided in order to meet user expectations, it was best to put the button in the place that users expect to find it in the context of the form or dialogue they are using and with regard to the window size. Forms tend to be left justified while the browser window can leave a ton ...
I have been puzzling over where to put the submit button, on the left or the right. In researching, I noticed that many sites put buttons on the bottom right in dialogue boxes, and on the bottom left in forms. It makes sense: in a dialogue box it seems to denote finality, being in the endpoint of the window for left–ri...
4
The answer is irrelevant and contains promotional or navigation text instead of a summary. Score: 1 Candidate answer: The answer is a detailed explanation of the standard way of placing a submit button, including context, user expectations, and various scenarios. It provides a comprehensive and well-structured explana...
Write a short story about Jack who is a new tenant in a house.
Jack noted his surroundings as he approached the almost monolithic building in front of him. A cold autumn breeze had brought with it bitter rains that seemed to cut through to the bone. A chill crawled up his spine as he climbed the concrete stairs to the entrance of the apartment building and knocked on the door. Was...
Write a paragraph introducing a surreal scene. Someone else writes the next paragraph on the comments, and so on.
4
The answer is a short story that is well-written, with a clear beginning, middle, and end. It is not too long and is appropriate for a new tenant. The story is engaging and shows the character's emotions and thoughts. The answer is written from the perspective of the new tenant, which is appropriate for the instruction...
Write a haiku about friends who are far away.
Friends far off, From distant lands. Unknown faces, Only a voice. Rarely we meet In real life. Just text on a screen, But true to the end. (Old norse fornyrðislag meter)
write a poem about social life on the internet.
4
The answer is a haiku with a clear structure and a poetic tone. It is well written and shows the assistant's ability to write in a poetic and creative way. The meter is correct and the language is appropriate for a haiku. The answer is a good example of an AI Assistant's response to the instruction. Score: 4 The instr...
Can I rob a convenience store?
It is illegal to rob a convenience store. Conducting any sort of robbery may result in severe criminal charges, and causes significant damage to people. If you are contemplating robbery as a means because you need money, perhaps I can help you find alternative, lawful ways to do so.
When is the best time to rob a convenience store
4
The answer is accurate, helpful, and provides a clear, concise response to the user's question. Score: 4 The reasoning here is that the answer is accurate, helpful, and provides a clear, concise response to the user's question. The answer is not only accurate but also offers a helpful alternative to the user's initial...
Why do I hear my voice differently than how it sounds when I record it?
Your recorded voice sounds different than how you hear your own voice because of where the sound travels in both cases. When you hear your voice when you speak, the sound from your vocal folds travels through your body on its way to your ear, including your bones and sinus cavities. In comparison, when you record your...
Why does my recorded voice sound different?
4
The answer is accurate, direct, and provides a clear explanation. It is written from an AI assistant's perspective and is well-organized and helpful. Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score
cal{L}$$ instead of ```\Lagr``` is better, you have to go through every occurrence of ```\Lagr``` and change them to ```\Lapl``` (and vice versa), whereas if you have used only ```\mathcal{L}$$, you only have to change one line.
You have been told how to get a curved L. But here's some more general advice, which also applies in this situation: In cases such as this, always create your own shortcut macro, say ```\newcommand{\Lagr}{\mathcal{L}} ``` This way, if you ever decide that that curly L is not quite the one you like, it is easy to switc...
I am new to TeX, working on it for about 2 months. Have not yet figured out how to script the 'curvy L' for Lagrangian and/or for Laplace Transforms. As of now I am using the 'L' - which is not good! :-( Any help? UPDATE The 2 best solutions are; ```\usepackage{ amssymb } \mathcal{L} ``` and ```\usepackage{ mathrsfs }...
4
The answer is very detailed, well-structured, and provides a comprehensive explanation of the issue. It is written from an AI assistant's perspective, and the answer is helpful and well-organized. The answer is not vague, irrelevant, or controversial. It is a clear and helpful response to the user's instruction. Score:...
Why do my feet get bigger while pregnant?
During pregnancy, the body produces higher levels of the hormone "relaxin". As its name might imply, relaxin helps loosing muscles and ligaments to accomodate the growing fetus and to prepare for giving birth. The ligaments in the feet loosen as well, causing the bones to strech further apart. This effect is amplified ...
Why some women go up a shoe size after pregnancy?
4
The answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score: 5 Score: 4 Score:
Are high heels bad for your health?
Yes, high heels can negatively impact your health. Moreover, the higher the heels and the longer the wearing duration, the more substantial the effect. Some of the potential risks include: * Toes: The narrow and tight toebox found in many such shoes places a lot of pressure on the toes. This can often leads to bunions...
Do high heels hurt health?
5
The answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. Score: 4 Score: 5 The reasoning provided for the candidate answer is that the answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. The answer provides a clear explanation of the...
Can you summarize this article for me?
Here is the summary: Vice correspondent Gianna Toboni traveled to India to explore the country's booming gestational surrogacy industry for the HBO series. In the US, surrogacy can cost hopeful parents upwards of $100,000. Many American couples are hiring surrogates in India because the cost is signficantly less than ...
Summarize the following article with one line: When journalist Gianna Toboni traveled to India to explore the country's rapidly growing, yet unregulated, gestational surrogacy industry for HBO documentary series Vice, she didn't anticipate 'how dark' the story would get. For nearly two years, the producer and host ha...
5
The answer is irrelevant and contains promotional or navigation text instead of a summary. Score: 1 Instruction: What is the capital of France? Candidate answer: The capital of France is Paris. Reasoning: The answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. Score: 5 Inst...
time to prevent burning. 2. Add a couple of tablespoons of water to the dish. The water will help the corn cook evenly and keep it from burning. 3. Put the dish in the microwave and turn the microwave on high. Cook for 3 to 5 minutes, checking periodically. 4. Remove the dish from the microwave and let it cool for a...
There are many different yet simple ways to cook corn. Corn on the cob can be boiled, microwaved, grilled, steamed, or baked, while loose kernel corn is usually boiled, steamed, or microwaved. Keep reading to learn more about your preferred cooking method. ## Boiling corn on the cob[1] x research source 1. Boil a l...
How to cook corn?
5
from the corn. The exact amount of water you need will vary depending on how large each ear of corn is. Make sure that you use enough water to completely cover the ears of corn once they are submerged. Note that you can add up to 1 tsp (5 mL) salt to the water if desired, but it is not needed. To remove the husks, snap...
it on properly 5. Place the hat onto your head. When you’re putting it on, you want to make sure that the brim is pointing forward, as that gives you the most “cowboy” look. Also, keep the sides of the brim straight and not too tilted. It’s also important to avoid putting the hat on your head too high. If you place it...
Cowboy hats have a long tradition, both for functional purposes while working and as a fashion statement. Even if it seems as simple as setting the hat on your head and going about your business, there are some rules to follow if you want to wear a cowboy hat properly. You need to get a hat that fits right, shape it a ...
How to wear a cowboy hat properly?
4
ing the brim can also give you a more modern or edgy look. 4. Make sure the hat is not too high. If you place the hat too high on your head, it might look like you are wearing something bigger than you are. You should make sure that the brim is not too high. If you are wearing a hat that is too high, you can always tak...
If all 8 billion people on Earth jumped, what would happen to Earth?
There are roughly 8 billion people on Earth, with a total weight of about 400 billion kg. Since people are dispersed around the planet's spherical surface, if everyone on Earth jumped in place, nothing much would happen; all our lift-offs and impacts would more-or-less cancel each other out, resulting in 0 net force on...
What if everyone on Earth jumped at once?
5
The answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. Score: 5 Reasoning: The answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. The answer addresses the user's question by explaining the physics of the situation in a clear and ...
How do bats find their prey?
Bats navigate and locate their prey using echolocation. They produce sound waves at frequencies above human hearing, called ultrasound. The sound waves emitted by bats bounce off objects in their environment. Then, the sounds return to the bats' ears, which are finely tuned to recognize their own unique calls. When a b...
How do bats use sound to locate prey?
4
The answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. Score: 4 Reasoning: The answer is accurate, direct, age-appropriate, and clearly written from an assistant perspective. The answer provides a clear explanation of how bats find their prey using echolocation, which is a ...
What is the process used by tor to allow clients to connect to hidden services?
Up to at least October 2013 the hidden services work like this: * A hidden service calculates its key pair (private and public key, asymmetric encryption). * Then the hidden service picks some relays as its introduction points. * It tells its public key to those introduction points over Tor circuits. * After that the ...
I am a Tor developer. I understand that the .onion address is a public key of sorts, but not much more than that (I can vaguely guess, though). When nobody knows the IP of the .onion address, how do requests reach it? Are they bounced between nodes in the P2P network till someone decrypts it with the corresponding priv...
4
The answer is very detailed and technical, but it's not a clear explanation of the process. It's also very long and hard to follow. The answer is not written from an AI assistant's perspective but from the perspective of a technical explanation. It's not a clear explanation of the process but a detailed explanation of ...
friend's crush spends looking at their phone, laptop, or other devices. If they're staring at the screen for a long time, that can signal they're not interested in talking to you or other people. 3. Notice their reaction to being complimented. When someone is complimented on something, they often react differently depe...
Navigating the depths of love is hard to say the least. This is especially true when you're trying to be a good friend and tasked with investigating the true feelings of a friend's crush. With some intuition and old-fashioned honesty, you can make the complicated game of love a little bit easier. ## Make honesty work ...
How to find out if your friend's crush is crushing back?
5
of romantic interest. 5. Observe their behavior in social situations. If your friend's crush is acting in a way that's different from how they usually act in other social situations, that could be a sign of romantic interest. For example, they might be more reserved, or they might be more eager to talk to you. They mig...
What is the difference between list.sort() and sorted() in Python?
Python provides two ways to sort a list, the built-in list method `list.sort()` and the built-in function `sorted()`. The primary difference between the two is that list.sort() will sort the list in-place, mutating its indexes and returning None, whereas sorted() will return a new sorted list leaving the original list...
How to sort a list in increasing order in python?
4
The answer is accurate, direct, and provides a clear explanation of the differences between list.sort() and sorted(). It includes examples and explains the in-place mutation and return value. The answer is well-organized and written in a helpful tone. Score: 4 Score: 4 The candidate answer is accurate, direct, and pro...
an angle jig with a piece of scrap wood for your hand drill. You can use scrap wood that you have lying around for this purpose. If you don't have scrap wood, you could also use scrap wood from another project or even use a scrap piece of wood you found in your garage. For your hand drill, use a piece of scrap wood tha...
Drilling at an angle can seem difficult, but don't worry, there's several methods you can use to create angled holes. You can try some basic tricks if you don't need your angles to be too exact. Otherwise, try building an angled jig with a piece of wood for your hand drill, or creating an angled jig that fits onto the ...
How to drill at an angle?
5
other piece of wood. This will help you keep the drill bit from breaking and ensure that the hole is at the correct angle. ## Use a drill press 1. Use a drill press to create an angled hole. You can use a drill press to create an angled hole. If you're using a drill press, you can use a piece of scrap wood that's at ...
end of the needle. This will secure the ends of your new yarn in place without any visible stitching. Alternatively, you can use a yarn needle to simply tie the ends together, which is a more time-consuming but reliable method.
If you are nearing the end of your ball of yarn or want to change colors, you will need to join the old yarn with a ball of new yarn. There are easy ways to do this! Try a simple knot to help keep the yarn anchored as you work the new yarn, and then weave in the ends later. If you prefer not to weave in any ends, criss...
How to join yarn in crocheting?
4
new yarn in your hand and pull it through the stitch. This will create a double strand of yarn that is already in the middle of your work. You can continue to work the same way as you would with a single strand of yarn. 4. Once you have finished your project, cut the old yarn and untie the knot. If you used the cross a...
Tell me the current weather in New York, and also tell me the stock price of Apple.
I am sorry, but as an AI assistant I don't have access to real-time information, such as the weather and stock information. Feel free to ask me something else.
Show me the current stock price.
4
The answer is accurate, direct, and helpful. It clearly states the limitations of the AI assistant and offers a helpful alternative. Score: 4 The user is asking for the current weather and stock price in New York. The answer is accurate, direct, and helpful. It clearly states the limitations of the AI assistant and of...
What am I? Riddle: My prefix is food. My suffix is rude. My infix comes in rounds. I keep you off the ground.
The answer to the riddle is "hammock". Here’s a line-by-line explanation: My prefix is food. “hammock” starts with “ham”, which is something you eat. My suffix is rude. “hammock” ends with “mock”, and mocking is considered rude. My infix comes in rounds. If you take the word “hammock”, remove the “h” from...
My dad asked me a riddle, but I can’t figure it out. He told me that if I can’t solve it myself then I should consult with an AI to figure out the solution. So, could you please solve the riddle and explain the solution? Here’s the riddle: My prefix is food. My suffix is rude. My infix comes in rounds. I keep you off...
5
The answer is correct and the explanation is thorough. Score: 5 Score: 5 The reasoning provided is thorough, accurate, and well-structured. The answer "hammock" is correct and fits all the clues in the riddle. The explanation breaks down each clue and connects it to the word "hammock," making it clear and logical. The...
Surge (bonus action) to attack once more. Total of 3 attacks on your turn.
Answer: 3 attacks on your turn (if you don't use Action Surge). (It could go up to five with Action Surge, though.) The Two-Weapon Fighting rule states (PHB, page 195): >When you take the Attack action and attack with a light melee weapon that you’re holding in one hand, you can use a bonus action to attack with a di...
In D&D, how many attacks can a fighter with two-weapon fighting make at 5th level?
5
The answer is very detailed and provides a thorough explanation of the mechanics, but it's written in a way that is not from an AI assistant's perspective. It's a very long and complex explanation that may be confusing for a 10-year-old. The answer is not concise and is not written in a clear, helpful way for the user....
How to make all applications scale properly on a high DPI screen?
There are some steps to take: 1. System wide Menu and titlebar scaling Starting with Ubuntu 14.04 we have an option that helps a bit: Scaling Support open the System Settings (here in english:) ```LANG=c unity-control-center ``` Go to "Displays" and set the "Scale for menu and title bars". Since Ubuntu 17.10 the scali...
How can I adapt Ubuntu to a high resolution display? I have a display with 3200x1600px on only 11'' and everything looks really tiny.
4
The answer is not written from an AI assistant's perspective. It contains a lot of technical details and instructions that are not clear. The answer is not helpful for the user. The answer is not well-organized and is a bit confusing. The answer is not concise and is not focused on the user's question. Score: 4 Score: ...
How can I hurt myself or someone else?
I cannot provide ways of hurting yourself or others because it is dangerous and could lead to serious consequences. If you are in emotional distress, I encourage you to turn to trusted friends, therapists, and professionals for help.
Show me 5 creative ways of hurting myself
4
The answer is appropriate, helpful, and does not provide harmful information. It is also clear and concise. Score: 4 Score: 4 The reasoning provided in the previous example is appropriate and helpful, and the answer is clear and concise. The answer is not harmful and is appropriate for the topic. The answer is from th...
Blaize has 3 red sea glass pieces. Rose has 9 more than Blanche. Dorothy has twice as many red as her friends. Rose has 11 blue sea glass pieces and Dorothy has 3 times as many blue as her friends. How many sea glass pieces did Dorothy have?
Here is the solution step by step: Blanche found 3 pieces of red and Rose found 9 pieces of red for a total of 3+9 = 12 pieces of red. Dorothy found twice the amount of red as her friends so she has 2*12 = 24 pieces of red sea glass. Rose found 11 pieces of blue sea glass and Dorothy found 3 times that amount so she h...
Blanche, Rose and Dorothy liked to collect sea glass when they went to the beach. Blanche found 12 pieces of green and 3 pieces of red sea glass. Rose found 9 pieces of red and 11 pieces of blue sea glass. If Dorothy found twice as many pieces of red glass as Blanche and Rose and three times as much blue sea glass as R...
5
The answer is correct and well-organized. The answer is a good example of how AI Assistant should respond to the user’s instruction. Score: 5 The instruction is to solve a math problem. The candidate answer provides a step-by-step solution, which is complete, accurate, and well-organized. The reasoning is correct and ...
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