Gopala (ruled c. 750s–770s CE) was the founder of the Pala Dynasty of Bengal region of the Indian Subcontinent. The last morpheme of his name Pala means "protector" and was used as an ending for the names of all the Pala monarchs. Pala does not suggest or indicate any ethnic or caste considerations of the Pala dynasty. He came to power around 750 CE in Gaur after being elected by a group of regional chieftains.
There are no contemporary sources of information about Gopala's life: he is known only through the later literary references and genealogies in inscriptions.
The name of his father was Vapyata, and his grandfather Dayitavishnu. A eulogy on the Khalimpur copper plate of his son Dharmapala describes his father Vapyata as a Khanditarati or "killer of enemies", and his grandfather Dayitavishnu as Sarva-vidyavadata ("all-knowing" in the sense "highly educated"). The later texts of the Pala period, such as Ramacharita, mention the Pala rulers as the kings descended from the solar dynasty. However, these lack credibility, and seem to be attempts to cover up their relatively humble origins.
In mathematics, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence:
or (often, in modern usage):
By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.
In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation
with seed values
or
The Fibonacci sequence is named after Italian mathematician Leonardo of Pisa, known as Fibonacci. His 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been described earlier as Virahanka numbers in Indian mathematics. By modern convention, the sequence begins either with F0 = 0 or with F1 = 1. The sequence described in Liber Abaci began with F1 = 1.
Fibonacci numbers are closely related to Lucas numbers in that they form a complementary pair of Lucas sequences
and
. They are intimately connected with the golden ratio; for example, the closest rational approximations to the ratio are 2/1, 3/2, 5/3, 8/5, ... .
These are the Daze my friend
We're so far from the end
But we can't wait forever and a day
Forever and a Day
One for your City
Two if you're prissy
Three for the raw real homie
Rollin' wit' me
Four's like the voice in my head
Getting dizzy
Five get it so live
The cops come & get me
Six for the politrix
Seven call the Reverend
Eight DNA certain way
You a felon
Nine feeling fine
Even when the sun shady
Ten that's a dime
Goapele do it crazy
If you miss me when I'm gone
Just know riding on a sky plain
You never know
I could be wrong
Sometimes I'm weak
When I feel strong
Push on
Be strong
Don't wait
Lean on
Sometimes
Pray on
Hold on
Because
These are the Daze
You gotta go for broke
I'm taking all my chances
And if you're scared of transit...
Run for cover
Light is fading
It's getting dark
The sun is fading
Oh they told me
Live today
Like your gonna live forever
Tomorrow paves the way
For the rest of your life
Even if we lose some along the way
It's not worth the hate
No time to hate
Black prophet
Still grandma collar poppin
Do anything for a twenty dollar profit
They push into yo kitchen til yo momma holla stop it
If it ain't first class
Then I'mma try the cockpit
Had some ups & downs
Been dumped around
It's nothing
''cause we ain't sufferin' now
For life we lusted
In God we trust
But now don't discuss it
We going for bust
Hold tight
It's not
Too late
Take it
Right now
It's in
Your hands
Because
These are the days we gotta go for broke
I'm taking all my chances
And if you're scared of transit...
Run for cover
Light is fading
Its getting dark