What is on the cutting edge of mathematics?

What is on the cutting edge of mathematics?
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Answer :

The 20th century had many advances. Claude Shannon created information theory, Alan Turing created theoretical computer science before there were computers, John von Neumann created game theory and John Nash made significant additions to game theory. As to whether all the low lying fruit has been taken, this is my favorite story.
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Related questions

The two sides of a tringle are increasing at the rate of 1/2 ft/sec with their included angle decreasing at the rate of π/90 rad/sec. What is the rate of change of area when the sides and the included angle are respectively 5 ft,8 ft, and 60°?

Description : The two sides of a tringle are increasing at the rate of 1/2 ft/sec with their included angle decreasing at the rate of π/90 rad/sec. What is the rate of change of area when the sides and the included angle are respectively 5 ft,8 ft, and 60°?

Last Answer : Area = (L1 L2) sin(angle) , where L1, L2 and and angle are functions of time t. Take the derivative using the multiplication rule. The derivative will equal (L1L2)(derivative of sin) + sin times ... will have to use the multiplication rule a second time to get the derivative of L1 L2. Good luck.

How do I integrate (sinx)^4 with limits 0 to pi?

Description : How do I integrate (sinx)^4 with limits 0 to pi?

Last Answer : answer:This should help you: https://en.wikipedia.org/wiki/List_of_trigonometric_identities#Power-reduction_formula If you still can’t figure it out on your own with this hint, I should be able to help you further, but I’m at work right now.

Is there a general way to solve equations involving both a multiple of x and a power of x?

Description : Is there a general way to solve equations involving both a multiple of x and a power of x?

Last Answer : Do they know about logarithms yet?

Where/When do you use algebra in your life and how often do you use it?

Description : Where/When do you use algebra in your life and how often do you use it?

Last Answer : answer:Well. Algebra, in the formulaic method I was taught, went the way of fairy tales. When I re-entered mathematics as an adult, for my own good, I discovered how I'd missed the base . I took ... . It has applications in your life, every day. You just might not know that you are doing algebra .

Rewrite in exponential form?

Description : Rewrite in exponential form?

Last Answer : answer:Okay, couple of hints to get you going in the right direction. Somebody has probably taught you that √x is the same thing as x^(½) (if not, then I just did). This rule applies for other roots of ... of info you should be able to get to the final answer, but let me know if you want more help.

Help on a difference quotient question?

Description : Help on a difference quotient question?

Last Answer : answer:This is just another way of expressing the limit of the slope at t = 1. It is the same as looking at [(1 + h) – f(1)] /h f(1) = 1/(1 – 2) = -1 (f(t) – f(1)]/(t – 1) = [1/(t-2) + 1]/(t – 1) = [(t – 1)/(t – 2)]/(t – 1) = 1/(t – 2) The limit as t approaches 1 is -1.

I am unsure of how to set this problem up. Can anyone help me?

Description : I am unsure of how to set this problem up. Can anyone help me?

Last Answer : Write an equation for the function that expresses the area of the printed portion in terms of the length and width of the poster. Use the derivative of that function to find the inflection points. Finally, study the inflection points to find the extreme values.

Help with a calculus question?

Description : Help with a calculus question?

Last Answer : What have you tried so far? If you let us know what you have tried and where you get stuck, we can help you. We aren’t supposed to simply do a problem for you (and you wouldn’t learn as much if we did).

How can I prove that something converges using the limit comparison test when I can't seem to find something to which it compares?

Description : How can I prove that something converges using the limit comparison test when I can't seem to find something to which it compares?

Last Answer : answer:Um I did this sort of maths too long ago But did you consider the fact that both the denominator and numerator share the same ^3 thing? So you can take it outside? In other words, if ... point you in the right direction. Unless I'm completely wrong about it, in which case I do apologise.

Can a math genius tell me how to do this?

Description : Can a math genius tell me how to do this?

Last Answer : answer:Well, Wolfram|Alpha couldn’t solve the problem… Here’s the link. It won’t format correctly. http://www.wolframalpha.com/input/?i=integrate+1/(8x%E2%88%9A(x(1%2B%E2%88%9Ax)(%E2%88%9A(1%2B%E2%88%9Ax)-1) Oh, and I can’t tell whether that says 8x or 8 times…

Calculus Problem?

Description : Calculus Problem?

Last Answer : I don’t know much about calculus, but i do know that the speed of the snowplow in meters has to be equal to R / [(b+t)*(rate of snowfall)]. I don’t know if this will help or not.

How do you solve the differentail equation y' = x + y?

Description : How do you solve the differentail equation y' = x + y?

Last Answer : If you can tell me the application you’re using it for, I’ll help you.

How to be good in Math? (more info inside)

Description : How to be good in Math? (more info inside)

Last Answer : I don’t think you will have to work with big numbers in your head. Calculators are the norm in college now.

HOw does one do curve sketching?

Description : HOw does one do curve sketching?

Last Answer : If a function has an absolute maximum at x = b , then f (b) is the largest value that f can attain. Similarly, if a function has an absolute minimum at x = b , then f (b) is ... known as the local extrema. A local minimum or local maximum may also be called a relative minumum or relative maximum.

Why do I keep getting stuck when taking the derivative of the inverse cosecant function?

Description : Why do I keep getting stuck when taking the derivative of the inverse cosecant function?

Last Answer : http://archives.math.utk.edu/visual.calculus/3/inverse_trig.1/6.html

What are good strategies to increase your chances of winning the lottery?

Description : What are good strategies to increase your chances of winning the lottery?

Last Answer : Lotteries are a tax on the innumerate.

Help me with calculous?

Description : Help me with calculous?

Last Answer : I can help you with English first: > calculus

How do you integrate (indefinite) the product of two distinct terms, both containing x?

Description : How do you integrate (indefinite) the product of two distinct terms, both containing x?

Last Answer : Well, the answer to this problem is sin(x^3)/3+C. When you differentiate this function, the chain rule comes into play, so the derivative of sin(x^3) is cos(x^3)(x^2)3, and you need to ... of intuition, educated guesswork, and luck. So, good luck, and feel free to message me if you need more help.

How do I express a limit to infinity as a definite integral? (Example Inside)

Description : How do I express a limit to infinity as a definite integral? (Example Inside)

Last Answer : A homework question? At least you’re being obvious about it. Sorry, I don’t help others with homework. I never got help with mine, you see, and I’m bitter.

Integral [x^3 + 1]^2 dx = ? I found that it was [(x^3 + 1)^3] / 9x^2, but that is wrong? Details inside.

Description : Integral [x^3 + 1]^2 dx = ? I found that it was [(x^3 + 1)^3] / 9x^2, but that is wrong? Details inside.

Last Answer : Expand this using FOIL. You will get three distinct terms and it will be a very easy integral. The answer should be (x^7)/7 + (x^4)/2 + x

Why does Integral[(e^sqrt(x)) / sqrt(x)] NOT equal e^sqrt(x) + C? Details of how I got there inside...

Description : Why does Integral[(e^sqrt(x)) / sqrt(x)] NOT equal e^sqrt(x) + C? Details of how I got there inside...

Last Answer : The derivative of sqrt(x) isn’t 1/sqrt(x), it is .5/sqrt(x), because sqrt(x) can be rewritten as x^.5, and the chain rule applies and makes the derivative .5*x^-.5

Calculus homework help!!!

Description : Calculus homework help!!!

Last Answer : answer:Hi Meredith. Pay attention in class from now on, thanks :P PS I’m coming up to the room in like… an hour.

Calculus:Chain LInks and derivatives

Description : Calculus:Chain LInks and derivatives

Last Answer : for the first one, you have to use the chain rule. So the first step is to take the derivative of the outer function, and then do the derivative of the inner function, as follows: f(x)=(4x-x^2)^100 f'(x)= ... inner function). your teacher may want you to simplify it to: f'(x)= 200(2-x)(4x-x^2)^99

I need more Calculus help!

Description : I need more Calculus help!

Last Answer : all but the last one can be solved by taking derivatives and setting them equal to zero. Lhospitals rule is pretty straight forward. Take the derivative of just the numerator and then just ... until the problem is evaluatable. I suggest the site mathworld for additional guidance. the site matheolrd

Can some one tell me how to solve any of these precal equations?

Description : Can some one tell me how to solve any of these precal equations?

Last Answer : answer:1. Find the value of the side of a square whose diagonal is known as a'. ([a times (square root of 2)]/2) think about the square as 2 triangles, the diagonal is the hypotenuse. a^2+b^ ... what does everything stand for; does s [equal] distance and t [equal] velocity, or does t [equal] time?

If I made "Calculus for Idiots by Idiots", would anyone watch it?

Description : If I made "Calculus for Idiots by Idiots", would anyone watch it?

Last Answer : Only if I was taking calculus and thought it would help me out. The by idiots thing might throw me off. But then, it could be the reason I watch it too.

Dental calculus. Why does it appear and how to deal with it?

Description : Dental calculus. Why does it appear and how to deal with it?

Last Answer : Dental calculus. Why does it appear and how to deal with it? Dental plaque is a thin film that is invisible to the eye and contains bacteria that can destroy the top layer of tooth enamel. If ... to remove it if it does appear. Take advantage of dental care tips and choose the right dental clinic.

Where do I find cutting edge insights (not crap) about CEOdom?

Description : Where do I find cutting edge insights (not crap) about CEOdom?

Last Answer : answer:Books: Sony: Private Life and Career Warfare I found amazing. Financial industry, sure, but the classics are Liar's Poker and The Bonfire of the Vanities. exectweets has great quotes! You just have ... worthless noise, on any subject, but that's me. Just some ideas. Welcome to ask-public!

If a prospective student doesn't think MIT is "technological enough," then what are some universities that are more cutting-edge?

Description : If a prospective student doesn't think MIT is "technological enough," then what are some universities that are more cutting-edge?

Last Answer : I don’t know, I think MIT is great. See here.

What's a good science fiction book that has some interesting cutting-edge science to it?

Description : What's a good science fiction book that has some interesting cutting-edge science to it?

Last Answer : Robert Heinlen “Stanger In A Strange Land”. I totally GROK this book…

Why is my printer cutting off the right hand edge when printing in Portrait?

Description : Why is my printer cutting off the right hand edge when printing in Portrait?

Last Answer : how much exactly does it 'cut off'? You're saying you are able to print the same page in the same full area on landscape more but not in portrait? Have you checked all your print margin settings? Do you have the same issue in different applications (not just your browser)?

Where do you go to find cutting edge artists and companies creating inventive things?

Description : Where do you go to find cutting edge artists and companies creating inventive things?

Last Answer : What kind of things? What kind of art? For what purpose? Welcome to Ask-public. If you use the details section of the question to provide context it is helpful to the Ask-publicers trying to answer.

i would enjoy working for a cutting-edge company, even if there is some risk involved. -General Knowledge

Description : i would enjoy working for a cutting-edge company, even if there is some risk involved. -General Knowledge

Last Answer : The answer is I Agree. However, it is opinion based question.

What type of developmental approach is cutting edge and at the forefront of research when working with genes associated with disorders such as schizophrenia?

Description : What type of developmental approach is cutting edge and at the forefront of research when working with genes associated with disorders such as schizophrenia?

Last Answer : Feel Free to Answer

I have an LED Lighting Supplier who is putting their cutting edge LED Lighting in Aramark,Amtekco and Gamon for the Food service and Display caseing and salad bar display ,we would like access to the top Display case Manufactuers or vendors so that I may ?

Description : I have an LED Lighting Supplier who is putting their cutting edge LED Lighting in Aramark,Amtekco and Gamon for the Food service and Display caseing and salad bar display ,we would like access to the top Display case Manufactuers or vendors so that I may ?

Last Answer : Try www.displaycasedepot.com/ to get started

Technology scanning refers to: a) strategies of multinational firms based on technologies. b) locating a firm's research centres in countries or regions where relevant cutting-edge research is pursuedc) a framework for strategic planning in the knowledge economy.d) the process of identifying technologies in the external business environment.

Description : Technology scanning refers to: a) strategies of multinational firms based on technologies. b) locating a firm's research centres in countries or regions where relevant cutting-edge research ... the knowledge economy. d) the process of identifying technologies in the external business environment.

Last Answer : the process of identifying technologies in the external business environment.

In the method of tube boring of soil investigation, the following is essential: (A) A tube of about 2 metres length and 20 cm diameter with a cutting edge (B) A flap valve at the bottom of tube is provided to extract the soil sample (C) The tube is raised and lowered by 4 thick rope moving over a pulley suspended on a tripod stand (D) All the above

Description : In the method of tube boring of soil investigation, the following is essential: (A) A tube of about 2 metres length and 20 cm diameter with a cutting edge (B) A flap valve at the bottom of tube is ... and lowered by 4 thick rope moving over a pulley suspended on a tripod stand (D) All the above

Last Answer : Answer: Option D

In comparison to MB plough, the draft is less in disc plough because a) It roll over the soil instead of sliding b) It has lower contact area c) It has larger cutting edge d) None of these Ans. a

Description : In comparison to MB plough, the draft is less in disc plough because a) It roll over the soil instead of sliding b) It has lower contact area c) It has larger cutting edge d) None of these Ans. a

Last Answer : ans a

Customers that are willing to pay for products with cutting edge technology that are fast performing and small in size are in the a. traditional segment. b. high end segment c. low end segment d. performance segment e. size segment

Description : Customers that are willing to pay for products with cutting edge technology that are fast performing and small in size are in the a. traditional segment. b. high end segment c. low end segment d. performance segment e. size segment

Last Answer : b. high end segment

Which customer group or market segment seeks cutting edge technology in both size and performance? a. Traditional customers b. Low End customers c. High End customers d. Performance customers e. Size customers

Description : Which customer group or market segment seeks cutting edge technology in both size and performance? a. Traditional customers b. Low End customers c. High End customers d. Performance customers e. Size customers

Last Answer : c. High End customers

In the hand instrument formula, 13-80-8-14, the number 14 represents the a. width of the blade b. blade length c. blade angle d. primary cutting edge angle e. none of the above.

Description : In the hand instrument formula, 13-80-8-14, the number 14 represents the a. width of the blade b. blade length c. blade angle d. primary cutting edge angle e. none of the above.

Last Answer : c. blade angle

Does Asia have its own mathematics?

Description : Does Asia have its own mathematics?

Last Answer : No. Math is the same everywhere.

If the universe turns out to be granular (meaning there is a smallest length and a smallest unit of time), is mathematics as it exists today a flawed, or even the wrong tool to describe reality?

Description : If the universe turns out to be granular (meaning there is a smallest length and a smallest unit of time), is mathematics as it exists today a flawed, or even the wrong tool to describe reality?

Last Answer : That’s irrational. Sure I will agree will you.

Is Alice in Wonderland a satire of 19th century mathematics?

Description : Is Alice in Wonderland a satire of 19th century mathematics?

Last Answer : I am not qualified to say no to that.as you say though even without the math, it was and remains a favorite of mine.

Was mathematics discovered or invented?

Description : Was mathematics discovered or invented?

Last Answer : GQ. I think discovered, because it exists in nature in a lot of ways. The six sided honeycomb structure for one example. Maybe insects invented it? :) There’s also E=MC squared. There are a lot of fundamental principles based on mathematics. Nice question to make one think.

Does this phrase make any sense [Mathematics]?

Description : Does this phrase make any sense [Mathematics]?

Last Answer : answer: Integer of zero most likely means something similar to the number zero, i.e. zero. I haven't found any other potential meanings. Normally, it would be redundant to mention the fact that ... which case it would imply that the number, besides being equal to 0, is stored in integer format.

Homework Help: Solving Ratios in Mathematics?

Description : Homework Help: Solving Ratios in Mathematics?

Last Answer : answer:The first step is to combine the two ratios A:B and B:C into one ratio A:B:C. A:B = 5:2 = 15:6 B:C = 3:2 = 6:4 A:B:C = 15:6:4 Now, this means that if you had 25 grams of salt ... You have 750 = 25*30 grams of salt, so these numbers must also be multiplied by 30. 450g in A 180g in B 120g in C

What field of mathematics deals with these types of problems?

Description : What field of mathematics deals with these types of problems?

Last Answer : Geometry?

A good book that walks you through the history of mathematics?

Description : A good book that walks you through the history of mathematics?

Last Answer : answer:I thought of Logicomix right away. It's the story of Bertrand Russell and Alfred Whitehead's work on their Principia, a quest to unite the world of mathematics into one consistent, complete logical ... might not be quite complete. If I think of any non-comic-book examples I'll post them.

Does mathematics exist independently of intellects, or is mathematics an invention of the intellect?

Description : Does mathematics exist independently of intellects, or is mathematics an invention of the intellect?

Last Answer : answer:What a layman calls math is a combination of both. The words multiplication and exponent are human constructs, along with the symbols 0123456789 and !^*-+= etc. If an alien civilization ... it exist. And it does. The same thing happened with black holes. And even the atomic bomb.