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Common math questions, quality answers.
Jul24-14 10:02 AM Greg Bernhardt 
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Test your skills. Math challenges will be posted at least once a week. Suggestions for problems are welcomed.
Aug5-14 02:05 PM fredoniahead 
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All math courses. PDFs, tutorials and web links.
Sep15-14 01:06 PM phion 
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:23 AM
micromass
1 39,241
How do i show that the inequality |x-3| >= |x|-|3| holds for any x contained in R (real values). and in the...
Mar22-04 03:03 AM
arildno
5 1,314
Hi, I would appreciate some ideas on the following problem: We are given the inequality: (1) |a| + |b| >=...
Oct4-04 11:23 AM
uart
2 1,017
I've been making up problems to practice with, and I came across something I couldn't tell on my own, and that is, how...
Jul28-12 02:35 PM
arildno
4 871
Are the less than (<) and greater than(>) relations applicable among complex numbers? By complex numbers I don't mean...
May5-14 05:33 AM
jbriggs444
1 384
Hey! I have this: 2(√(1-a^2 ))+ 2a How to determine the maximum value of this? I think good for this is Inequality...
Jan13-13 02:47 AM
Numeriprimi
5 723
hello all: I have tried to solved the following problem, however, I was stucked. thanks for the help: x, y z are...
May21-05 07:16 AM
Vivek Sharma
10 3,296
If abc=1 prove 1/3(b+c)] + 1/3(a+c)] + 1/3(b+a)] >= 3/2 where a, b, c are positive real numbers. Please give me...
Jun19-08 04:09 AM
redmafiya
21 3,068
In this link is a part of a book on approximations of functions. ...
Oct31-11 02:53 PM
Stephen Tashi
5 1,545
It struck me when reading about the axioms of inequalities, that this inequality wasnt that easy to straight ahead...
May17-08 07:49 AM
Kurret
0 1,157
Any help/hints for the following inequality? (a + b) (a + c) (b + c) (a + d) (b + d) (c + d) >= 4 a b c d (a + b +...
Jun17-08 11:09 PM
LanNguyen
0 1,085
Hello folks :smile: I always thought that inequalities could be treated exactly like equations but somehow I seem...
Feb1-12 09:39 PM
Saladsamurai
25 3,649
hiii, i was wondering if anybody knew how to help me with this one tricky homework question. i can do most of the...
Aug29-11 05:06 AM
J-Girl
5 1,318
I am having trouble solving these type of problems for some reason. I cant get to the answer. If anyone could care to...
Dec20-05 09:28 PM
uart
7 6,090
When I was working on a rather difficult real-life math problem, I nearly found the solution. What I came up with was...
Feb18-13 03:22 PM
Chelonian
0 458
I was considering complex numbers (independently) and I came across an interesting question. Are any of these...
Apr3-10 08:17 AM
HallsofIvy
3 2,971
referring to the photo attached, can anyone expalin and give suitable numerical example please? i couldnt understand...
May22-14 07:58 AM
micromass
1 290
I have no idea how to solve this inequality without using AM-GM inequality: for any positive integers p,q,x,y...
May5-10 06:47 PM
mathman
2 1,013
stupid error in the "tex" thing, see first post.
Jul1-07 12:35 PM
Trail_Builder
7 1,411
So i have an equation to calculate the impossibility of pair production during photon decay into two electrons and I'm...
Apr10-14 08:39 AM
HallsofIvy
1 401
Check this out: 1 < 2 \Rightarrow \frac{1}{4} < \frac{1}{2} \Rightarrow (\frac{1}{2})^2 < \frac{1}{2} ...
Jun3-09 04:56 PM
Psyborg
9 11,564
Hello all! :smile: In my quest to re-teach myself the basics of mathematics in a more rigorous fashion, I have found...
Feb13-12 09:23 PM
micromass
5 1,698
friends help on this, Use the ineequalities 1+x<=e^x<=1/1-x for |x|<1 to show that lim(e^x-1)/x = x-0+...
Mar10-05 10:49 AM
arildno
2 1,001
Considering that the truth of Si implies the truth of Si+1, i ε natural numbers, then starting from the truth of S1,...
Nov15-11 12:14 PM
Stephen Tashi
3 1,252
I'm stuck and not sure what I've done wrong for this problem Prove the following by mathematical induction: 1^3 +...
Mar12-04 06:44 AM
HallsofIvy
2 1,504
Hi, I need to prove the following: 1+ \frac{ 1}{ 2!} + \frac{1 }{3!} +...+ \frac{ 1}{ n!} < 2 \lbrack 1 - (...
Feb26-07 08:11 AM
Bazman
2 937
Hello. In the Wiki entry for "Leibniz harmonic triangle" there one can find a formula L(r, c) = 1/(c * binom(r -...
Oct16-10 10:10 AM
awkward
1 2,802
Any suggestions on how to simplify the log (m+1) terms that arise when proving the following statement using induction...
Sep2-10 04:57 AM
Petr Mugver
1 1,326
What is wrong with this inductive proof that all protrons have the same mass? 1. if you have one protron then it...
Oct6-08 03:35 AM
dodo
5 1,178
To prove: (1 + 2 + 4 + . . . + 2^{n}) + 1 = 2^{n+1} , ∀n ≥ 0 . Basis Step n = 0: LEFT HAND SIDE: (2^{0})+ 1 = 1...
May1-13 05:20 AM
mfb
1 533
Here it is, tell me who is wrong... A definition of Induction and Deduction in a general science field: ...
Sep7-06 07:40 PM
Swapnil
43 13,959
If I am given a propisition P(m,n) and asked to show that it is true for all integers m and n, how do I go about that?...
Jun19-09 05:39 PM
Dragonfall
1 1,995
Is it possible to induce on Q+ by showing that a statement is true for n=1 and (n/m=>(n+1)/m AND n/m=>n/(m+1))?
Dec24-05 05:13 AM
matt grime
5 1,505
I'm just wondering how induction can be used to show the following: (A_1 \bigcup A_2 \bigcup A_3 \bigcup \cdots...
Jan15-08 03:40 PM
mathman
2 2,685
Hi there, Im having some problems with figuring out these two questions I have been given out for homework. Both of...
Nov14-06 01:51 AM
tuananh
7 1,404
Need to Prove \displaystyle\ (\frac{n+1}{2})^n \geq n! -(a) It can be easily proven using AM-GM inequality.....
Jul6-10 08:53 AM
dr hannibal
0 595
I came across this proof in Spivak that appears to use complete (strong) induction. He is trying to argue that a set A...
Oct26-08 04:14 PM
mathwonk
3 3,876
Hello I am doing some research on non-linear systems, and have come across a equation regarding inductance and I am...
Jan7-06 10:11 AM
Jimbo
1 1,168
Something I have been curious about, but never had the time to think about is, I know that; x^{3/2} = \sqrt{x^{3}}...
Jun1-06 04:14 AM
Hootenanny
7 1,258
Is there an equivalent notation to Capital Pi notation (multiplier) and Sigma notation (summer) for raising to the...
May11-13 07:56 PM
Simon Bridge
1 546
What are the signs that one should show when one is not enjoying a particular area of maths? In other words how can...
May20-09 11:27 PM
AUMathTutor
5 1,082

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