Kiyosi Itô
Kiyosi Itô (伊藤 清, Itō Kiyoshi, September 7, 1915 – 10 November 2008) was a Japanese mathematician. He pioneered the theory of stochastic integration and stochastic differential equations, now known as the Itô calculus. Its basic concept is the Itô integral, and among the most important results is a change of variable formula known as Itô's lemma. Itô calculus is a method used in the mathematical study of random events and is applied in various fields, and is perhaps best known for its use in mathematical finance. Ito also made contributions to the study of diffusion processes on manifolds, known as stochastic differential geometry.
Although the standard Hepburn romanization of his name is Itō, he used the spelling Itô (Kunrei-shiki romanization). The alternative spellings Itoh and Ito are also sometimes seen in the West.
Biography
Itô was born in Hokusei in Mie Prefecture on the main island of Honshū. He graduated with a B.S. (1938) and a Ph.D (1945) in Mathematics from the University of Tokyo. Between 1938 and 1945, Itô worked for the Japanese National Statistical Bureau, where he published two of his seminal works on probability and stochastic processes. After that he continued to develop his ideas on stochastic analysis with many important papers on the topic.
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Why
by: Keisha WhiteYeah, Yeah, Yeah
Yeah, Yeah, Yeah
...Listen
[Verse 1:]
I Thought
You Were
Always
Gonna Be Here By My Side
It's Taken Such A Long Time
For Me To Find
What I Want To Do
Too Much I Never Knew
You Could Do What You Do
I'm Asking You One More Time
Is It Always Gonna Be This Way?
[Chorus:]
To All Of Ya'll
Who Said I Couldn't Be
And Tried To Hate On Me
And Take On Me
You Waiting On The Day
I'm Falling Down
So You Feel Proud
Why? Why?
Why? Why?
You Gotta Understand
What You Mean To Me
Why Can't You See
I'm Unhappy
To All Of Ya'll
Who Said I Wouldn't Be
Now Look At Me
Bye-Bye
Bye-Bye
[Verse:2]
You Should
Find Out
What It Is
That You Want To Be
Using Your Misfortunes
As A Weapon
To Try And Hurt On Me
Why Do
Want To Do
What Could Comeback On You
So, I'm Asking You One More Time
Is It Really Meant To Be This Way?
[Chorus:]
To All Of Ya'll
Who Said I Couldn't Be
And Tried To Hate On Me
And Take On Me
You Waiting On The Day
I'm Falling Down
So You Feel Proud
Why? Why?
Why? Why?
You Gotta Understand
What You Mean To Me
Why Can't You See
I'm Unhappy
To All Of Ya'll
Who Said I Wouldn't Be
Now Look At Me
Bye-Bye
Bye-Bye
[Bridge:]
The Way You Stare
When You're There
What Makes You
Talk About
Walk Around
Speaking Bout' Me
You Are
(Hmmm..)
I Think Things Are Bound To Change
Cause' I Will Never
[Chorus: x2]
To All Of Ya'll
Who Said I Couldn't Be
And Tried To Hate On Me
And Take On Me
You Waiting On The Day
I'm Falling Down
So You Feel Proud
Why? Why?
Why? Why?
You Gotta Understand
What You Mean To Me
Why Can't You See
I'm Unhappy
To All Of Ya'll
Who Said I Wouldn't Be
Now Look At Me
Bye-Bye