Its an very important part of inequalities. But, i can't get the part min(a,b) $\&$ max(a,b).
$min(a,b)\le \frac{2ab}{a+b} \le \sqrt{ab} \le \frac{a+b}{2} \le \sqrt{\frac{a^2+b^2}{2}} \le max(a+b)$
what's the mean of min(a,b) and max(a,b) in the upper equation?
Inequalities
Last edited by Hasib on Fri Dec 17, 2010 2:25 pm, edited 1 time in total.
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Re: Inequalities
the terms $min(a,b)$ and $max(a,b)$ represent the minimum and maximum of $a$ and $b$ respectively.
Take an example:
$min(3,4)=3$
and $max(3,4)=4$
Take an example:
$min(3,4)=3$
and $max(3,4)=4$
"Je le vois, mais je ne le crois pas!" - Georg Ferdinand Ludwig Philipp Cantor
Re: Inequalities
If any of a or b are fraction, then??
A man is not finished when he's defeated, he's finished when he quits.
Re: Inequalities
Then determine which fraction is the least.To determine this use this:which is greater $\frac 9 7$ or $\frac {15} {11}$?Multiply both side with $lcm$ of the denominators.Then see which side has the greater one.hasib.mo wrote:If any of a or b are fraction, then??
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Re: Inequalities
Oh, i can determine the least & largest from fraction. Thanks.
A man is not finished when he's defeated, he's finished when he quits.
Re: Inequalities
$min(a,b)$ মানে হইল $a,b$ এর ভেতর সবচেয়ে ছোট সংখ্যা। এইখানে ভগ্নাংশ কেন অমূলদ সংখ্যা আসলেও সমস্যা নাই। যেকোন বাস্তব সংখ্যার জন্য এই অসমতা সত্য।
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Re: Inequalities
Moon wrote:$min(a,b)$ মানে হইল $a,b$ এর ভেতর সবচেয়ে ছোট সংখ্যা। এইখানে ভগ্নাংশ কেন অমূলদ সংখ্যা আসলেও সমস্যা নাই। যেকোন বাস্তব সংখ্যার জন্য এই অসমতা সত্য।
ha, aibar bujhte parci
A man is not finished when he's defeated, he's finished when he quits.