Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#41926 Re: This is Cool » will tehre ever be a single particle that makes EVERYTHING » 2005-07-28 16:36:40
......or will it just keep getting smaller, if we do we will have gotten to the smallest possible thing,.....
Atoms were considered to be the building blocks, then the subatomic particles were discovered....and now, it is said that the subatomic particles like neutrons, protons, electorns etc are made up of quarks;
but I am not sure whether that is true for neutrinos, mesons, muons, positrons etc. 
#41927 Re: Help Me ! » Relation between: inv, arc, co, arcco?? » 2005-07-28 16:31:30
That is neatly explained.
Both Sin-¹x and Arcsin x are one and the same, and both are in use in Mathematics Textbooks.
To make things simple, if Sin x = 1/2,
it follows that Sin -¹(1/2) = x
or ArcSin(1/2) = x
#41928 Re: Dark Discussions at Cafe Infinity » Serious Discussion! » 2005-07-27 00:09:01
An eye for an eye, a tooth for a tooth....
Extrapolated,
a life for a life
It takes the society nowhere.
But what do we do with criminals involved in
Homicide / Terrorism / Drug trafficking / Adultery / Molesting ?
Forgive them?
Award a lesser sentence like life imprisonment??
Banish them ???
#41929 Re: Help Me ! » Integration... » 2005-07-27 00:01:50
dx=asin(y)dt
(a is a constant value)
where y=y(t)
∫dx = ∫ asinyt dt
∫dx = a ∫sinyt dt
x = a(-cosyt/y) + Constant ???????????
#41930 Re: Guestbook » maths » 2005-07-26 23:03:07
what is your name
from shelly
Hi Shelly,
There are 909 registered users in this forum.
#41931 Re: This is Cool » One divided by Infinity » 2005-07-25 20:32:22
The logic seems acceptable.
It is easy to say 1/∞ is 0 because 1/0 is ∞,
just as 1/(a/b) = b/a.
If 1/a=b, it follows that 1/b=a 
Indeterminate forms are only when both a and b are equal to zero,
or both a and b are equal to infinity.
Abishek, you missed another indeterminate form.
That is 0^0
#41932 Re: Help Me ! » . » 2005-07-25 19:33:58
The binomial expansion of the Left Hand Side
contains two terms, among many, which are
a^a*n and b^a*n which appear to make the LHS greater than the RHS,
but when we assign arbitrary values,
say a=10, b=1,000,000,000 and n=100
the LHS is (1,000,000,010)^1000, which would contain 9,001 digits;
the RHS becomes
100 x (100^1,000,000,000) which would contain more than 2 billion digits!
This happened because we assumed b>>n.
Otherwise, the LHS may be greater.
Say, when a=10, b=100, n=1000.
LHS would be 110^10,000 containing 20,414 digits and the RHS would be much smaller, viz. 100*(1000^100), containing approximately 300 digits!
#41933 Re: Help Me ! » As easy as it seems? » 2005-07-25 16:29:36
You may also remember, given the roots of a quadratic equation, the equation can be got thus:-
x² -(Sum of the roots)x + (products of the root) = 0
#41934 Re: Help Me ! » Substitution Method (where two lines cross) » 2005-07-25 16:26:05
Solving the two equations, you get
x = -5/2, y = -1/6
Hence, the two lines cross at
(-5/2, -1/6)
How the two equations are solved:-
First equation can be written as x+3y = -3
The second equation can be written as x - 3y = -2
Adding the two, we get 2x = -5, or x = -5/2
Substituting this value in equation (1) -5/2 + 3y = -3
3y = -3 + 5/2
3y = -1/2
y = -1/6
#41935 Re: This is Cool » Which of the two is greater? » 2005-07-25 16:20:06
it seems that yCritical "slowly"(?) approaches the limit of 1 as x approaches +oo
looking forward to hear comments on this topic!
Yes, you are correct! ycritical approaches 1, but is certainly greater than 1, as x approaches + ∞
#41936 Re: Dark Discussions at Cafe Infinity » Wink Murder 2 » 2005-07-25 16:15:49
I got killed when I was riding a bike, and I was shot at a short range with a pistol in the head 
#41937 Re: Jokes » Mnemonics » 2005-07-22 22:54:44
Don't ever try to derive a mnemonic for pi.......
That would be a useless exercise....
#41938 Re: Jokes » Mnemonics » 2005-07-22 22:37:48
The world record holder remembers 100,000 places
#41939 Introductions » Enough is enough! » 2005-07-22 22:35:41
- Jai Ganesh
- Replies: 11
Okay, I shall tell you who I am!
I am J Ganesh, who forgot thinking after 15 years of age.....
I think more like the Britons than they do,
I am simply JG or Socrates Ganesh...
and my idol is the greatest mathematician ever....
Niels Henrik Abel....
#41940 Re: Help Me ! » Im beginning to think this is impossible.... » 2005-07-22 22:29:02
Thanks, Mathsisfun,
I am on the verge of post # 200
and this an occassion for me to celebrate,
I shall take a big chunk of thhat 
#41941 Re: This is Cool » Which of the two is greater? » 2005-07-22 22:25:51
Mathsy, I think you missed this post!
With all the available technology, you could have well improved upon those digits!
#41942 Jokes » Mnemonics » 2005-07-22 22:17:32
- Jai Ganesh
- Replies: 14
To
express
e
remember
to
memorize
a
sentence
to
simplify
this.
Can you think of mnemonics for pi?
#41943 Re: Introductions » hi » 2005-07-22 22:12:29
Oh I am tired of this......................
TRUCE..............at 140 Decibels.....:)
#41944 Re: Dark Discussions at Cafe Infinity » Be aware of my absence » 2005-07-22 22:08:45
We would be missing you all......
Do join us at the earliest........
#41945 Re: Maths Teaching Resources » Maths-Whizz - Brilliant resource » 2005-07-22 22:06:40
mathematics is for all of us,
the poorer are always trhe better,
my Guru is Niels Henrik Abel, born in Norway
#41946 Re: Maths Teaching Resources » is maths hard? » 2005-07-22 22:04:03
MaTHEMATICS IS THE HIGHEST DEGREE OF LOGIC
AND IF YOU THINK RIGHT, MATHEMATICS IS WITH YOU
#41947 Re: Help Me ! » Im beginning to think this is impossible.... » 2005-07-22 21:58:25
My head is reeling
#41948 Re: Jai Ganesh's Puzzles » Problems and Solutions » 2005-07-22 21:55:17
I just remembered a question asked to me when I participated in a quiz when I was 14 :
A three digit number is written on a window glass,
the difference between the number and as it can be seen from the other side is 693,
what's the number?
#41949 Re: Help Me ! » Algebra problem » 2005-07-22 17:59:20
Algebra is using of variables like x,y,z etc to solve mathematical problems.
For example, if you have this problem
#1
When 53 is added to a number, you get 70. What is the number?
The solution would start this way.
Let x be the number.
Therefore, 53 + x = 70
x = 70 - 53 = 17
#2
25 added to the double of a number is 95. What is the number?
Solution:-
Let x be the number.
Therefore, 25 + 2x = 95
2x = 95 - 25 = 70
x = 70/2 = 35
#41950 Re: Guestbook » Pythons » 2005-07-22 17:48:19
T R U C E !!!!!!!!!!!!!!!!