Frankly, this does not make sense at all!! What does the "time" variable in the integral mean? Since you are integrating d (time) this suggest "time" is a function of time. But which function? Just the identity? Then I divide my current(?) happiness by 22.5.2013 - which does not make much sense. The time interval right now? I.e. 0 ? This does not make sense either. If you mean the differential d happieness/ d time as integrand, you will get happieness(death)-happieness(birth) which is hopefully 0... Please clarify...
Happiness/time implies the rate of change of happiness (over time). The integral simply evaluates to the displacement in happiness between birth and death, as you aptly noted, but there's no reason for it to be 0. The integrand should be the absolute value of change in happiness over time. Life is about both good and bad experiences, without one, the other is meaningless.
I disagree. f(t) cant be 1/t. If so, our first year of life would have an infinite energy. Should be some kind of curve which maximizes around 20-30 and is zero around 0 and 100. IMHO.
Vu Dinh I believe you've got it! happiness/time indicates [delta]happiness. Corina Marinescu At first I was curious about [delta]time, because I believed that time was constant. But then I remembered Einstein's Theory of Special Relativity, i.e., how time slows dramatically as you approach of the speed of light. So your equation for life makes for an even more intriguing idea and experience: [delta]happiness x [delta]time :)
Assuming Happiness is a constant then this comes out to be:
Life = integrate[ H/t dt] where t ranges over the interval [1,age_at_death]
Life = H( ln(death) - ln(birth) )
And if we assume birth begins when t=1 then ln(birth) = 0 and thus Life = Happiness * (a constant) where the constant is the natural log of age at death.
if you believe in life after death then, happiness or unhappiness continue on after your death. This equation will not make any sense if you are an atheist .
Let Life = 42, => 42 = H*ln(death/birth). Let Birth=1, Death=avg human lifespan=66. => H = 42/ln(66) ~~ 10.02 years. SO....Total happiness over time is 10? And has units of years?
Cool
ReplyDeleteexcept that 'time' thing is always a big problem if you really go down on this thing...
ReplyDeleteFrankly, this does not make sense at all!! What does the "time" variable in the integral mean? Since you are integrating d (time) this suggest "time" is a function of time. But which function? Just the identity? Then I divide my current(?) happiness by 22.5.2013 - which does not make much sense. The time interval right now? I.e. 0 ? This does not make sense either. If you mean the differential d happieness/ d time as integrand, you will get happieness(death)-happieness(birth) which is hopefully 0...
ReplyDeletePlease clarify...
Hahaha this is true.
ReplyDeleteHeinrich Hartmann Integration everywhere Life =happiness.[ln(time)] Substitute from birth to death
ReplyDeleteActually I see it as a convolution. A double integral of Happiness(t'-time) over t' and time.
ReplyDeleteHappiness/time implies the rate of change of happiness (over time). The integral simply evaluates to the displacement in happiness between birth and death, as you aptly noted, but there's no reason for it to be 0. The integrand should be the absolute value of change in happiness over time. Life is about both good and bad experiences, without one, the other is meaningless.
ReplyDelete= hapiness*(log(death)-log(birth)) ?!?
ReplyDelete[must be dtime btw]
I disagree. f(t) cant be 1/t. If so, our first year of life would have an infinite energy. Should be some kind of curve which maximizes around 20-30 and is zero around 0 and 100. IMHO.
ReplyDeleteWhy should a new born be unhappy?
ReplyDeleteLance
Vu Dinh I believe you've got it! happiness/time indicates [delta]happiness. Corina Marinescu At first I was curious about [delta]time, because I believed that time was constant. But then I remembered Einstein's Theory of Special Relativity, i.e., how time slows dramatically as you approach of the speed of light. So your equation for life makes for an even more intriguing idea and experience: [delta]happiness x [delta]time :)
ReplyDeleteAssuming Happiness is a constant then this comes out to be:
ReplyDeleteLife = integrate[ H/t dt] where t ranges over the interval [1,age_at_death]
Life = H( ln(death) - ln(birth) )
And if we assume birth begins when t=1 then ln(birth) = 0 and thus Life = Happiness * (a constant) where the constant is the natural log of age at death.
In other words: Life is constant happiness?
I'm good with that.
Zach Cox I'm good with that also
ReplyDeleteif time is money, and happiness is a function of time, then life is money?
ReplyDeleteHappiness is integral to life?
ReplyDeleteif you believe in life after death then, happiness or unhappiness continue on after your death. This equation will not make any sense if you are an atheist .
ReplyDeleteThis equation has nothing to do with religion, life after death, God Ra...etc. Do the right integration and the answer is simple
ReplyDeleteI do not agree. Grief and mischief are life either...
ReplyDeleteLet Life = 42, => 42 = H*ln(death/birth). Let Birth=1, Death=avg human lifespan=66. => H = 42/ln(66) ~~ 10.02 years. SO....Total happiness over time is 10? And has units of years?
ReplyDeleteHappyness can not consider a constant unless you are delicional mathematician on crack, too many variables to consider
ReplyDelete