Question Number 100068 by  M±th+et+s last updated on 24/Jun/20

hello all i have some questions? 1)what is the riemann hypothesis? 2)how did they determine the distance to the sun? 3)how did we measure the speed of light?

Answered by JDamian last updated on 24/Jun/20

You can find the answers in google

Commented by M±th+et+s last updated on 24/Jun/20

thank you for your comment sir. but in google there is no mathmatics explaning just a simple explanation.

Answered by smridha last updated on 25/Jun/20

Maxwell diff:eq^n said us ▽^2 E^→ =𝛍_0 ε_0 (∂^2 E^→ /∂t^2 ) and ▽^2 B^→ =𝛍_0 𝛆_0 (∂^2 B^→ /∂t^2 ) where E^→ =electric field B^→ =magnetic field 𝛍_0 =magnetic permiability in free space 𝛆_0 =permitivity of free space [this is besically 3d wave eq^n this two eq^(ns) describe light as a electromagnetic wave] now analysis the dimention of the product of μ_0 and 𝛆_0 .. dim[𝛆_0 𝛍_0 ]=[M^(−1) L^(−1) T^4 ].[ML^(−1) T^(−2) ] =[L^(−2) T^2 ] now dim[(1/(√(𝛍_0 𝛆_0 )))]=[L.T^(−1) ]=dim(v) where v=velocity but this not any odinary velocity this is very special, the speed of light in free space denoted by C.. so our eq^n looks like: ▽^2 E^→ =(1/C^2 )(∂^2 E^→ /∂t^2 ) and ▽^2 B^→ =(1/C^2 ).(∂^2 B^→ /∂t^2 ) now speed of light: C=(1/(√(𝛍_0 𝛆_0 )))=(1/(√(4𝛑×10^(−7) ×8.854×10^(−12) ))) =2.99795638×10^8 ≈3×10^8 m.s^(−1) here I used the experimental value of 𝛍_0 and 𝛆_0 .

Commented byRasheed.Sindhi last updated on 25/Jun/20

GO^(⌢) O^(⌢) D use of mathematical notation in the field of human emotions!

Commented by M±th+et+s last updated on 24/Jun/20

very nice explanation . god bless you

Commented bysmridha last updated on 24/Jun/20

Σ_(i=1) ^∞ (thank)_i

Commented byRasheed.Sindhi last updated on 25/Jun/20

Can we consider human-emotions-field as a mathematical-field? Of course, why not if we can define thanks, sorry & other human-emotions!

Commented bysmridha last updated on 25/Jun/20

yeah why not!!after all Mathematics is nothing more than a language.if there is a wish there is a way..