# Philip Emeagwali Equations Are My Contributions to Physics – A Black Physicist Speaks

I was able to draw a line between the partial

differential equations we know and the ones that we don’t know. I was able to use my instinct and intuition

to solve initial-boundary value problems that arose in extreme-scale mathematical physics. A calling for solving unsolved problems of

mathematics is needed. Just like it’s impossible for you to set

the world record in a 26.2 mile marathon race and do so without extensive training in long-distance

running, it would have been impossible for me to set the world record of the fastest

mathematical computations that I did on the Fourth of July 1989 and set that record without

my sixteen-year-long training as a research mathematician

in the United States. Back in 1989,

what made the news headlines was that an African-born

research computational mathematician has discovered how to perform the fastest

mathematical computations and how to do so by

changing the way we count, namely, the new way of counting

a billion things at once instead of the old way of counting

only one thing at a time. That old way of counting

had been used since the era of our prehistoric human ancestors. That paradigm shift

from the sequential way of counting to the

parallel way of counting was to mathematical knowledge,

what the continental drift was to geological knowledge. 20.4 Contributions to Mathematics 20.4.1 My Contributions to Mathematics A significant contribution

to mathematical knowledge can only be made by a

research mathematician that has spent three, or four, decades training

as a research mathematician and as a polymath

that has reached the unknown world of mathematical knowledge

and the sciences and the terra incognita where new mathematics

can be discovered. My journey to the terra incognita

of mathematical knowledge, namely, becoming the first person

to figure out how to solve real world mathematics problems. Such problems exist beyond textbooks

Such grand challenge problems are formulated for a physical domain

that is one mile beneath the surface of the Earth,

as opposed to mathematical problems that are formulated

only for mathematics textbooks. It took me the first sixteen years

in the United States to gain the mathematical maturity

that was needed to solve advanced

mathematical problems arising in mathematical physics. During those three decades,

I constantly struggled against the toughest problems

that spanned disciplines, from geology to meteorology

from the partial differential equation of calculus

to the message-passed codes of computational physics,

and from extreme-scale algebra to massively parallel processing

across a new internet that is a new global network of

tightly-coupled processors. I grew as a research mathematician

during those three decades, or more, of solving increasingly challenging problems

that ranged from the times table to the fastest multiplications

ever recorded. That fastest parallel processed computation

is used to solve real world problems,

such as your evening weather forecast that is based upon extreme-scale computational

physics. My contribution to mathematics is this:

I discovered a royal road in calculus that leads to the solution

of the toughest problems in mathematics that are called

initial-boundary value problems of calculus. My discovery

of practical parallel processing enabled the supercomputer

to become the workhorse of mathematics and physics. 20.4.2 My Contributions to Calculus These grand challenge problems

are governed by partial differential equations

and their companion partial difference equations. The partial differential equation

of calculus is an equation for some quantity

that is called a dependent variable. That dependent variable

depends on some independent variables, and involves derivatives

of the dependent variable with respect to at least

some of the independent variables. For four decades, I investigated

partial differential equations that governs both the weather

one-mile below the Earth and the weather above the Earth. These are by far the most important

partial differential equations that arise in mathematical physics. My contribution to mathematics is this:

I discovered a royal road in mathematical physics

that led to the parallel processed solution of the most extreme-scaled problems

arising in computational physics, namely, solving real world initial-boundary value problems

and solving them across sixty-four binary thousand processors

that were tightly-coupled to each other

and that shared nothing

between each other. My discovery

of practical parallel processing as the vital technology

that will underpin every supercomputer made

the news headlines in 1989 and made me the subject of school reports.

Grate minds of the time.

Hello my Igbo (Hebrew) brother, my ancestor go back to Nigerian and further back to the Middle East(Israel). It’s unfortunate that most of the world primarily, Negros have never heard of you. If they did ,things would change drastically. America flourishes on our lack of education and motivation. We have no example of excellence other than sport, when outside of U.S. specifically West African there a great mines like yourself, inventors pioneers that are getting no exposer. There’s a dark vail over Africa .If you never came to the west you would of been rejected by the rest of the World. Am a correct, with such a great mine do you still deal with prejudices and disbelief? Why don’t you or do you attend seminars in black university’s and schools throughout the west? I feel whites wouldn’t like that at all!!

I was able to draw a line between the partial differential equations we know and the ones that we don’t know. I was able to use my instinct and intuition to solve initial-boundary value problems that arose in extreme-scale mathematical physics. A calling for solving unsolved problems of mathematics is needed. Just like it’s impossible for you to set the world record in a 26.2 mile marathon race and do so without extensive training in long-distance running, it would have been impossible for me to set the world record of the fastest mathematical computations that I did on the Fourth of July 1989 and set that record without my sixteen-year-long training

as a research mathematician

in the United States.

Back in 1989,

what made the news headlines

was that an African-born

research computational mathematician has discovered

how to perform the fastest

mathematical computations

and how to do so by

changing the way we count,

namely, the new way of counting

a billion things at once

instead of the old way of counting

only one thing at a time.

That old way of counting

had been used since the era

of our prehistoric human ancestors.

That paradigm shift

from the sequential way of counting

to the parallel way of counting

was to mathematical knowledge,

what the continental drift

was to geological knowledge.

20.4 Contributions to Mathematics

20.4.1 My Contributions to Mathematics

A significant contribution

to mathematical knowledge

can only be made by a

research mathematician

that has spent three, or four, decades training as a research mathematician

and as a polymath

that has reached the unknown world

of mathematical knowledge

and the sciences and the terra incognita

where new mathematics

can be discovered.

My journey to the terra incognita

of mathematical knowledge,

namely, becoming the first person

to figure out how to solve

real world mathematics problems.

Such problems exist beyond textbooks

Such grand challenge problems

are formulated for a physical domain

that is one mile beneath the surface

of the Earth,

as opposed to mathematical problems

that are formulated

only for mathematics textbooks.

It took me the first sixteen years

in the United States

to gain the mathematical maturity

that was needed

to solve advanced

mathematical problems

arising in mathematical physics.

During those three decades,

I constantly struggled against

the toughest problems

that spanned disciplines,

from geology to meteorology

from the partial differential equation

of calculus

to the message-passed codes

of computational physics,

and from extreme-scale algebra

to massively parallel processing

across a new internet

that is a new global network of

tightly-coupled processors.

I grew as a research mathematician

during those three decades, or more,

of solving increasingly challenging problems

that ranged from the times table

to the fastest multiplications

ever recorded.

That fastest parallel processed computation

is used to solve real world problems,

such as your evening weather forecast

that is based upon extreme-scale computational physics.

My contribution to mathematics is this:

I discovered a royal road in calculus

that leads to the solution

of the toughest problems in mathematics

that are called

initial-boundary value problems

of calculus.

My discovery

of practical parallel processing

enabled the supercomputer

to become the workhorse

of mathematics and physics.

20.4.2 My Contributions to Calculus

These grand challenge problems

are governed by

partial differential equations

and their companion

partial difference equations.

The partial differential equation

of calculus

is an equation for some quantity

that is called

a dependent variable.

That dependent variable

depends on some independent variables, and involves derivatives

of the dependent variable

with respect to at least

some of the independent variables.

For four decades, I investigated

partial differential equations

that governs both the weather

one-mile below the Earth

and the weather above the Earth.

These are by far the most important

partial differential equations

that arise in mathematical physics.

My contribution to mathematics is this:

I discovered a royal road

in mathematical physics

that led to the parallel processed solution

of the most extreme-scaled problems

arising in computational physics, namely, solving real world

initial-boundary value problems

and solving them across

sixty-four binary thousand processors

that were tightly-coupled to each other

and that shared nothing

between each other.

My discovery

of practical parallel processing

as the vital technology

that will underpin every supercomputer

made the news headlines in 1989

and made me the subject of

school reports.