>>> 0.00048828125/2 = 0.000244140625
>>> pow(1.000244140625, 4096) = 2.7179500811896657
= 2.718
As the interval time decreases and count of intervals increase, it becomes more continues and we arrive at Euler number to suit our continuity.
Euler derived it differently.
>>> 0.00048828125/2 = 0.000244140625
>>> pow(1.000244140625, 4096) = 2.7179500811896657
= 2.718
As the interval time decreases and count of intervals increase, it becomes more continues and we arrive at Euler number to suit our continuity.
Euler derived it differently.
>>> 0.00390625/2 = 0.001953125
>>> pow(1.001953125, 512) = 2.7156320001689913
1024:
>>> 0.001953125/2 = 0.0009765625
>>> pow(1.0009765625, 1024) = 2.7169557294664357
2048:
>>> 0.0009765625/2 = 0.00048828125
>>> pow(1.00048828125, 2048) = 2.7176184823368796
>>> 0.00390625/2 = 0.001953125
>>> pow(1.001953125, 512) = 2.7156320001689913
1024:
>>> 0.001953125/2 = 0.0009765625
>>> pow(1.0009765625, 1024) = 2.7169557294664357
2048:
>>> 0.0009765625/2 = 0.00048828125
>>> pow(1.00048828125, 2048) = 2.7176184823368796
>>> .03125/2 = 0.015625
>>> pow(1.015625, 64) = 2.697344952565099
128:
>>> .015625/2 = 0.0078125
>>> pow(1.0078125,128) = 2.7077390196880207
256:
>>> 0.0078125/2 = 0.00390625
>>> pow(1.00390625, 256) = 2.7129916242534344
>>> .03125/2 = 0.015625
>>> pow(1.015625, 64) = 2.697344952565099
128:
>>> .015625/2 = 0.0078125
>>> pow(1.0078125,128) = 2.7077390196880207
256:
>>> 0.0078125/2 = 0.00390625
>>> pow(1.00390625, 256) = 2.7129916242534344
1 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125=2.677
1 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125 *1.03125=2.677
(((1 * 1.125 ) * 1.125) * 1.125) * 1.125 = 1.6018066
1.6018066 * (((1 * 1.125 ) * 1.125) * 1.125) * 1.125 = 2.56578
16 times :
1 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 = 2.6379
(((1 * 1.125 ) * 1.125) * 1.125) * 1.125 = 1.6018066
1.6018066 * (((1 * 1.125 ) * 1.125) * 1.125) * 1.125 = 2.56578
16 times :
1 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 * 1.0625 = 2.6379
rate of interest : 100% p.a.
compound it once.
total at end of year : 1 + 1 = 2
Compound it twice, once every six months.
roi : 50% per half year
after 6months total : 1.50
then 1.50 * .50 = 0.75, total at end of yr = 2.25
4 times
(((1 * 1.25 ) * 1.25) * 1.25) * 1.25 = 2.44140625
rate of interest : 100% p.a.
compound it once.
total at end of year : 1 + 1 = 2
Compound it twice, once every six months.
roi : 50% per half year
after 6months total : 1.50
then 1.50 * .50 = 0.75, total at end of yr = 2.25
4 times
(((1 * 1.25 ) * 1.25) * 1.25) * 1.25 = 2.44140625
There is a code on website, there is an interpreter in the web browser.
Please avoid an intermediate logic insertion.
There is a code on website, there is an interpreter in the web browser.
Please avoid an intermediate logic insertion.
Here it is.
news.uwinnipeg.ca/uwinnipeg-te...
Here it is.
news.uwinnipeg.ca/uwinnipeg-te...
Can't agree more.
Can't agree more.
Also user has this cutting edge illusion for everything. A car transports, but that is not enough for everyone.
Also user has this cutting edge illusion for everything. A car transports, but that is not enough for everyone.
developers : No
developers : No