Don't miss anything... This is not about any technique of problem solving but i found it too inspiring, even that gives a message about $\color{#D61F06}{\text{taking}}$ $\color{#D61F06}{\text{up}}$ $\color{#D61F06}{\text{challenges}}$ , including $\color{#D61F06}{\text{solving}}$ $\color{#D61F06}{\text{various}}$ $\color{#D61F06}{ \text{problems}}$....

See ! The two numbers just differ by 0.086 and see what happened to the results ! You efforts are like this only , adding little more everyday could make you from a very beginner to an expert....

$\color{#69047E}{\text{Keep}}$ $\color{#69047E}{\text{trying}}$, even a small amount of information, like the $\color{#20A900}{\text{unidentified}}$ $\color{#20A900}{\text{quadrilaterals}}$ (cyclic mostly) in $\color{limegreen}{\text{Geometry}}$, or some $\color{#20A900}{\text{tricks}}$ in $\color{limegreen}{\text{number}}$ $\color{limegreen}{\text{theory}}$ problems, some $\color{#20A900}{\text{useful}}$ $\color{#20A900}{\text{substitutions}}$ in $\color{limegreen}{\text{Algebra}}$ and $\color{limegreen}{\text{Calculus}}$, simple things like $\color{#20A900}{\text{units}}$ in $\color{limegreen}{\text{Physics}}$ (yeah, that makes a huge difference if you consider wrong units)..... anything !

Everything is useful and small things make $\color{#3D99F6}{Huge}$ differences ! Don't miss anything when you work on a problem, especially the olympiad type !

Good luck Problem Solving.... Note by Aditya Raut
5 years, 4 months ago

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Good words of a person...

- 5 years, 4 months ago

Exercise: Find what's wrong with this logic.

- 5 years, 4 months ago

Any number larger than 1 will increase when you raise it to a higher power and numbers $\leq 1$ will not,so you could do this with 1.0000000001 and 0.999999999999 :)

- 5 years, 4 months ago

Inspirational

- 5 years, 4 months ago

true inspiration...!!!!

- 5 years, 4 months ago

Yeah... You put the message very nicely decorated with a mathematical proof.

- 5 years, 1 month ago

Just because it is possible for a small thing to make a huge difference doesn't mean that it is likely. There are far more small things than huge differences for them to make.

- 5 years, 1 month ago