
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:23 AM
micromass

1 
39,241 
How do i show that the inequality
x3 >= x3 holds for any x contained in R (real values).
and in the...

Mar2204 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 >=...

Oct404 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...

Jul2812 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...

May514 05:33 AM
jbriggs444

1 
384 
Hey! I have this: 2(√(1a^2 ))+ 2a
How to determine the maximum value of this?
I think good for this is Inequality...

Jan1313 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...

May2105 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...

Jun1908 04:09 AM
redmafiya

21 
3,068 
In this link is a part of a book on approximations of functions.
...

Oct3111 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...

May1708 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 +...

Jun1708 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...

Feb112 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...

Aug2911 05:06 AM
JGirl

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...

Dec2005 09:28 PM
uart

7 
6,090 
When I was working on a rather difficult reallife math problem, I nearly found the solution. What I came up with was...

Feb1813 03:22 PM
Chelonian

0 
458 
I was considering complex numbers (independently) and I came across an interesting question. Are any of these...

Apr310 08:17 AM
HallsofIvy

3 
2,971 
referring to the photo attached, can anyone expalin and give suitable numerical example please? i couldnt understand...

May2214 07:58 AM
micromass

1 
290 
I have no idea how to solve this inequality without using AMGM inequality:
for any positive integers p,q,x,y...

May510 06:47 PM
mathman

2 
1,013 
stupid error in the "tex" thing, see first post.

Jul107 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...

Apr1014 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}
...

Jun309 04:56 PM
Psyborg

9 
11,564 
Hello all! :smile: In my quest to reteach myself the basics of mathematics in a more rigorous fashion, I have found...

Feb1312 09:23 PM
micromass

5 
1,698 
friends help on this,
Use the ineequalities 1+x<=e^x<=1/1x for x<1 to show that
lim(e^x1)/x =
x0+...

Mar1005 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,...

Nov1511 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 +...

Mar1204 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  (...

Feb2607 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 ...

Oct1610 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...

Sep210 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...

Oct608 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...

May113 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:
...

Sep706 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?...

Jun1909 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))?

Dec2405 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...

Jan1508 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...

Nov1406 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 AMGM inequality.....

Jul610 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...

Oct2608 04:14 PM
mathwonk

3 
3,876 
Hello
I am doing some research on nonlinear systems, and have come across a equation regarding inductance and I am...

Jan706 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}}...

Jun106 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...

May1113 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...

May2009 11:27 PM
AUMathTutor

5 
1,082 