Can you prove p → q |- ¬p ∨ q without using the law of the excluded middle or its equivalent? I'm going through a logic book (introductory) and I have an intuition that proving this isn't possible constructively, but I'd like a confirmation.
How do I write an Excel formula to weight a rating by the number of ratings, so that a 4 with tens of thousands of ratings weighs more than a 5 with three ratings? [more inside]
Sometime within the last two years, I read a positive review of a mathematics book for children of at least kindergarten age that introduced math concepts using the number line as a conceptual focus. I'd appreciate any help in trying to identify this book. [more inside]
I am aiming to create extracurricular programming for people of all ages (but I'm particularly focused on teens and adults) to illuminate the neat areas of math that aren't covered in school. (Graph theory, mobius strips, pascal's triangle, things like that.) However, I don't have a very official background in mathematics myself. 1) What resources can I use to teach myself about math in those areas, or math leading up to those areas? 2) What resources are out there for kids/teens/adults to increase their math awareness? [more inside]
Our three year old LOVES to say his letters and numbers. When he gets to Z, he triumphantly (and accurately) announces "and that's all the letters!" When he gets to 100 he proudly informs us, "that's all the numbers!" I've tried to tell him about 101, 102, etc., but he does not believe me. He would believe it if a YouTube video or app told him so. Any suggestions? (Yep, I know this is not a big deal. I just like watching the light bulb go on when he realizes just how big the world is.)
I am in the process of trying to create a complex pricing calculator for internal use in our business. I have most of the data, however I am hoping to engage someone on a freelance basis to help me complete the data set, as well as give some expanded detail on how this data (pricing) can change geographically. What specific professions should I be engaging, and where can I find them? More information below the fold. [more inside]
I want to learn math. I signed up for Khan Academy and I like the format a lot. I really like that there are short lessons that I can complete, and that the software automatically checks the answers and lets me continue when I completed a string of 5 good answers in a row (or something similar). I don't like the video explanations though. I'm just not a video person, I learn much better from text. Is there something like Khan Academy where you can do math exercises online but where the explanation is in text?
I need to use math to figure out how to fill my pill organizer correctly. [more inside]
What are some good, free online resources for an adult who needs to brush up on basic math operations such as working with fractions, percentages and ratios? Other than Khan Academy. The more interactive the better.
I'm interested in teaching high school students mathematics through a tutoring agency. I have the required experience in mathematics, but very little in teaching. This doesn't seem to be a massive problem for many tutoring agencies, but I want to know: do you have any specific tips/advice about teaching mathematics? And more broadly, any advice about applying for and going to work for a tutoring agency? [more inside]
I teach math to high schoolers in the San Francisco Bay Area. I'd like to get them out of the classroom on a field trip to a local math-themed destination. Any suggestions? [more inside]
I have just completed my MSc in mathematics in Europe. I do enjoy math, but I spent my uni years feeling like a autodidact hippie marooned on an island full of Mr and Mrs I-Want-A-Good-Job. My main interests revolve around humanities (literature/history/anthropology) and economics (but not finance), and instead of starting a "stable" well-paying career I dream about something inter-disciplinary. I am very open to earning little money and relocating just to do kind of work that engages those skills. What are some random uses of my degree? [more inside]
Non-obvious careers for someone with a B.S. in Applied Mathematics? [more inside]
Can/how can one improve the estimate for a chance of an event with a small historical sample size by utilizing the chance of a related event with a large historical sample size? Example and half-assed guess inside. [more inside]
Why do we have order of operations rules in arithmetic instead of just strictly evaluating expressions from left to right (possibly with parenthesis for grouping if we really wanted to change the order)?
I am looking for adult-oriented iOS apps that will help improve my math skills. [more inside]
My son is 10 years old and going into 5th grade in the fall (but he usually does 6th grade math). He likes Stack the States, and we're looking for a math app with similar appeal. We already have Sushi Monster and his younger sister loves it, but I'd like something more challenging for him.
Help me with statistics and Excel. Especially help me if you know any labor saving methods. I want the median, mean and standard deviation for the average price of all items sold, but my spreadsheet-full-of-data doesn't tell me the price of each sale -- just the average price per store, and the number sold at that store. Something like this: [more inside]
Dear math people: please help me understand fractions and ratios intuitively. [more inside]
My math knowledge ends just past Newton. What books provide a good, relatively general-audience introduction to the past 150-250 years of problems and developments in mathematics? [more inside]
I'm wondering, after breakfast, and a shower, and a commute, and coffee - what is next? [more inside]
For a work assignment, I need to come by a conceptual understanding of modular forms that's light on jargon and, ahem, actual math. If such a thing is possible.
I'm a 21 year old college senior liberal arts major who has managed to slide by in school (and life) without ever really learning math beyond a middle school/very early high school level. For no reason in particular, I've decided that I want to get serious about bettering myself in the math department. How can I teach myself the academic math skills I missed out on? [more inside]
Mathematics-filter: If there are seven funds with various charges, how can I work out the allocation to these funds of a fixed amount so that the weighted mean charge is below a certain level and the allocations are of similar sizes? [more inside]
Can anyone point me towards a good resource for learning more about Poul la Cour's work on wind turbines? Or other historic wind turbine work? [more inside]
What is the cardinality of the set of all people who shall expel us from the paradise that Cantor has created?
Sweet descriptions of the empty set? [more inside]
My math skills are no where near where I'd like them to be. Can you recommend a self-paced math learning site? Pretty much any branch of math can apply. [more inside]
I was helping my 4th grade age sister-in-law with her math homework, and came across a question that I couldn't figure out. Can you do it? [more inside]
Now that I'm back at college, I'm having serious trouble with an elementary course in Discrete Mathematics (for computer scientists). How can I complete this course? [more inside]
I have forgotten basically all of math, and I want to learn it again from the ground up. [more inside]
I have a B.S. in Math, but I haven't been able to find a job in my field. What can I add to my undergrad degree to be more competitive in the job market? [more inside]
Any good math or physics neckties? [more inside]
Did Anyone Invent Some New Math Stuff So They Could Solve A Problem Which Then Lead To a Technological Breakthrough?
Can you cite any examples where a technological breakthrough wasn't possible until there was some sort of mathematical breakthrough? [more inside]
I have a Master's in math, and would like to get a job in the tech industry or a laboratory, but my resume is very teaching-oriented. I would like tips on retooling it to make myself more attractive. I also have several months to improve my skills. [more inside]
Any recommendations for a good graduate level text book for an introduction to mathematical finance course? [more inside]
Why should I study math? [more inside]
I'm a pure mathematician with a Ph.D. and I'm currently a visiting professor at a large state university. However, I'm looking to switch gears and get into the quantitative finance field. The problem is that I don't know anything at all about finance. I know that there are companies such as D. E. Shaw that hire mathematicians that don't have financial experience; what other companies should I look at? Is there any general advice you'd give someone in my position? Also, I have my Ph.D. from a well-regarded state school, but I'm not an Ivy-leaguer; does that put me at a disadvantage?
I have a learning disability (dyscalculia/mathematics disorder). Could I handle the formal language component of an undergrad Introduction to Logic class? [more inside]
I get to teach myself Cryptography for a class, please help me pick my book! [more inside]
Why doesn't the OED have better coverage of mathematical terms? Is this an area they want to improve on, or have they drawn a line of obscurity somewhere that just leaves out more than I expected? [more inside]
Calling all math lovers! Great mathematics toys/gifts for adults? [more inside]
I'm trying to find a website that teaches vector mathematics in lesson form. [more inside]
MathFilter: Is there a relationship between the number of dimensions in a Euclidean space and the number of regular tessellations of that space? [more inside]
ount all the ways that 15 objects can be put into four piles so that each pile has a different number of objects in it.
"Count all the ways that 15 objects can be put into four piles so that each pile has a different number of objects in it." Is there a smart general method for solving problems like this? Feel free to assume uniqueness/non-emptiness of the piles if it helps. (Not homework)
My favorite number is 0. I have many reasons for this, but I want more. [more inside]
I have always had difficulty with mathematics. Now I'm in my mid-thirties and have gone back to school to study engineering. Things are not going appreciably better than they did the first time I went to university. What can I do to fill the gaps I have and become a skilled problem-solver? I want to go from being a C to being an A student. [more inside]
Why do people care about Cramer's rule? [more inside]
About to obtain a PhD in mathematics, and questions about employment. [more inside]
I'm registered for a Web Analytics class. A prerequisite is "Familiarity with basic concepts of statistics." I'm not a math person and never studied statistics. Which basic statistics concepts should learn before this class? Are there any comic books, videos, or fun resources that would help me learn? [more inside]
What is the next step of this Kenken? [more inside]