seen from United Kingdom
seen from Canada
seen from United States
seen from France
seen from Canada
seen from Canada
seen from United Kingdom
seen from United States
seen from Spain
seen from South Korea
seen from Portugal
seen from United Kingdom
seen from China
seen from Malaysia
seen from United States
seen from China
seen from United Kingdom
seen from China
seen from Hong Kong SAR China
seen from China
can you prove the l'hopital's rule? I'm having a hard time in my calculus and you seem to know these stuffs 😭😭😭
For the ∞/∞ case, you tweak things: instead of
f, g → 0
you require
|f|, |g| → ∞
and the same CMVT argument works.
If you want the full generality like one-sided limits, extended reals, etc, you just slap on technical conditions, but the core is the same.
So basically the L’Hôpital’s rule is just CMVT but with squiggly lines.
Hope this helped :D
Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
Free to watch • No registration required • HD streaming
Grace Murray Hopper (ne: Grace Brewster Murray, Rear Admiral Hopper), Dec. 19, 1906 - Jan. 1, 1992.
Grace Murray Hopper was a mathematician and admiral in the United States Navy during a time when few women were given authority or recognition in S.T.E.M. fields. She was a pioneer in computer engineering, playing an integral roll in the Harvard Mark I computer. Not only did she create and write a decent chunk of the code - COBOL (common business oriented language) - which helped the massive computer (pictured above) function as desired, she often helped “debug” the computer when the machine began to malfunction. As this computer was created to assist in the war effort during WWII, it was essentially that it continued to run smoothly.
Due to her accomplishment with the Harvard Mark I, Hopper actually helped engineer the first commercial computer available to the public (the UNIVAC 1). While these computers were essentially hulking calculators, they are largely responsible for modern technology; desktops, laptops, cellphones and tablets! Grace Murray Hopper was eventually elected as both the first woman and the first American to the Distinguished Fellowship of British Computer Society.
Fun Fact Friday
73,939,133 is a special prime number: if you keep removing a digit from the right hand end of the number, each of the remaining numbers is also prime. It’s the largest known prime for which this is true. Just look... 73,939,133 and 73,939,13 and 73,939,1 and 73,939 and 7,393 and 739 and 73 and 7 are all prime
UniList provide a free way to search by city and find second hand textbooks in your area. You can also add your books and we won't charge you a penny!
I’m selling bunch of textbooks, and most of them I’ve never used, so if you need any textbooks for next semester/year ~
ComputerScience: Head First Object-Oriented Analysis and Design
Code Complete: A Practical Handbook of Software Construction
Foundations of Computer Science
Algorithms in Java: Pts.1-4
Algorithms in Java: Graph Algorithms Pt.5
Godel, Escher, Bach: An Eternal Golden Braid
Maths: Elementary Linear Algebra: Applications Version
Calculus: A Complete Course
Algebra (Graduate Texts in Mathematics)
MinutePhysics - The Order of Operations is Wrong
Anya is live and ready to show you everything. Watch her strip, dance, and perform exclusive shows just for you. Interact in real-time and make your fantasies come true.
Free to watch • No registration required • HD streaming
I'm currently in high school. I can tell you why kids hate math. Let's start with why kids hate school. Seven hours a day, five days a week, forty weeks a year, kids are forced to endure hell. Waking up at 6:30 to be somewhere they don't even want to be at 8:05, wandering around hallways that are often worse than rush hour traffic, all to sit down, and be silent for an hour to be lectured about something they usually don't care about. Then, they have a very short intermission before they have to sit down in another place for another hour. In short, they're bored. They just don't care, and I won't claim innocence from this. I don't care about what happened thousands of years ago, I don't care about old books. Now, I am interested in math and science, but I seem to be the outlier. To most kids, memorizing all of these theorems and postulates and formulas is nothing more than a chore. As I know you're aware, "When am I ever going to use this?" is one of the most commonly asked questions in a math class, and they're right. Most people aren't going to need to find the length of the hypotenuse of a triangle based on its sides, or find the volume of a sphere, and that's some of the most "basic" stuff that's taught. Also, the work assigned by teachers is extremely tedious, and extremely boring. I think most people will get the concept that the teacher is trying to teach after about 5 examples. Assigning 30 or more, which I see often, is just way too much. Now, I understand the thinking behind it. "Repetition, repetition, repetition," but again, kids get extremely bored of this extremely quickly. The problem isn't the math, the problem is the way it's taught. Teachers need to give examples of how the math they're teaching will be used in real life, and the homework should be less of a chore. Unfortunately, I don't know how this would be achieved, but if nothing is done, the upcoming generation will be one that thinks math to be boring, tedious, and useless, and that is unacceptable.
Youtube user '794613825a' commenting on the video "Why do people hate mathemathics" posted by Numberphile on Youtube.
I fell in love with mathematics from the earliest of ages. I explained it to all my friends. Maths is beautiful. It's natural. It's everywhere. Numbers are the musical notes with which the symphony of the universe is written. The great Descartes said something quite similar. The universe "is written in the mathematical language."
Adam Spencer: Why I fell in love with monster prime numbers
Kouros getting owned by measure theory!!!!!!
