if richard p. feynman were with us now …

NYNY, Friday July 13, 2007 If Richard P. Feyman were with us now ...

If Richard P. Feynman were with us now …a(n) homily

Robert R. BitmeadDepartment of Mechanical & Aerospace EngineeringUniversity of California, San Diego9500 Gilman Drive, La Jolla CA 92093-0411USATelephone: +1 858 822 3477Fax: +1 858 822 3107Email: rbitmead at ucsd dot eduWeb page: http://oodgeroo.ucsd.edu/~bob/

NYNY, Friday July 13, 2007 If Richard P. Feyman were with us now ... 2

Outline• Outline• Introduction• Richard P. Feynman’s favorite equation• A putative “Richard P. Feynman’s second favorite equation”• Proof• Conclusion and further work


Outline• Outline

– We are here now

• Introduction• Richard P. Feynman’s favorite equation• A putative “Richard P. Feynman’s second favorite equation”• Proof• Conclusion and further work


Introduction• Outline• Introduction

– We are here now

• Richard P. Feynman’s favorite equation• A putative “Richard P. Feynman’s second favorite equation”• Proof• Conclusion and further work


Introduction


Introduction

• Richard P. Feynman was a Physics guy


Introduction

• Richard P. Feynman was a Physics guy• He worked at California Institute of Technology


Introduction

• Richard P. Feynman was a Physics guy• He worked at California Institute of Technology• He won a Nobel Prize or something similar


Introduction

• Richard P. Feynman was a Physics guy• He worked at California Institute of Technology• He won a Nobel Prize or something similar• He played the bongo drums like a demon


Introduction

• Richard P. Feynman was a Physics guy• He worked at California Institute of Technology• He won a Nobel Prize or something similar• He played the bongo drums like a demon• He had a favorite equation


Introduction

• Richard P. Feynman was a Physics guy• He worked at California Institute of Technology• He won a Nobel Prize or something similar• He played the bongo drums like a demon• He had a favorite equation• He is dead now


Introduction

• Richard P. Feynman was a Physics guy• He worked at California Institute of Technology• He won a Nobel Prize or something similar• He played the bongo drums like a demon• He had a favorite equation• He is dead now

– So we can only guess that he would really really like this new equation just as much as the first one


Richard P. Feynman’s favorite equation• Outline• Introduction • Richard P. Feynman’s favorite equation

– We are here now

• A putative “Richard P. Feynman’s second favorite equation”• Proof• Conclusion and further work


Richard P. Feynman’s favorite equation

• Richard P. Feynman had a favorite equation– He liked this equation because it had all of his favorite

numbers in it;1 is the first number0 comes before thate is a funny number that you learn about in math classi is the square root of -1, yeah reallyπ is near enough to 22/7

– The equation went something like this …

€

0, 1, e, i, π






€

0, 1, e, i, π

€

1+ eiπ = 0






€

0, 1, e, i, π

€

1+ eiπ = 0 wow!


A putative “Richard P. Feyman’s second favorite equation”

• Outline• Introduction• Richard P. Feynman’s favorite equation• A putative “Richard P. Feynman’s second favorite equation”

– We are here now

• Proof• Conclusion and further work


A putative “Richard P. Feynman’s second favorite equation”



€

e ln 2+ iπ + 3 =1



• This has got more!

€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number

€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number– 2 comes after that and then 3 after that

€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number– 2 comes after that and then 3 after that– e is a funny number that you learn about in math class

€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number– 2 comes after that and then 3 after that– e is a funny number that you learn about in math class– i is the square root of -1, yeah really

€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number– 2 comes after that and then 3 after that– e is a funny number that you learn about in math class– i is the square root of -1, yeah really – π is near enough to 22/7€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number– 2 comes after that and then 3 after that– e is a funny number that you learn about in math class– i is the square root of -1, yeah really – π is near enough to 22/7– ln sounds like a girl’s name

€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number– 2 comes after that and then 3 after that– e is a funny number that you learn about in math class– i is the square root of -1, yeah really – π is near enough to 22/7– ln sounds like a girl’s name– 0 sucks anyway

€

e ln 2+ iπ + 3 =1



• This has got more!– 1 is the first number– 2 comes after that and then 3 after that– e is a funny number that you learn about in math class– i is the square root of -1, yeah really – π is near enough to 22/7– ln sounds like a girl’s name– 0 sucks anyway

• Richard P. Feynman would have really really liked it

€

e ln 2+ iπ + 3 =1


Proof• Outline• Introduction • Richard P. Feynman’s favorite equation• A putative “Richard P. Feynman’s second favorite equation”• Proof

– We are here now

• Conclusion and further work


Proof

Start with Richard P. Feynman’s favorite equation

Double it and add one to each side

Simplify

Invoke higher mathematics from a book

Viola!

€

e ln 2+ iπ + 3 =1

€

1+ eiπ = 0

€

2 ×1+ 2 × eiπ +1= 2 × 0 +1

€

2eiπ + 2 +1=1

€

2 = e ln 2, eaeb = ea+b

€

e ln 2eiπ + 3 =1e ln 2+ iπ + 3 =1


Proof



Simplify


Viola!

€

e ln 2+ iπ + 3 =1

€

1+ eiπ = 0

€

2 ×1+ 2 × eiπ +1= 2 × 0 +1

€

2eiπ + 2 +1=1

€


€

e ln 2eiπ + 3 =1e ln 2+ iπ + 3 =1

Quad erat demonstrandum


Proof



Simplify


Viola!

€

e ln 2+ iπ + 3 =1

€

1+ eiπ = 0

€

2 ×1+ 2 × eiπ +1= 2 × 0 +1

€

2eiπ + 2 +1=1

€


€

e ln 2eiπ + 3 =1e ln 2+ iπ + 3 =1

Quad erat demonstrandum Ce qu’il fallait démontré


Proof



Simplify


Viola!

€

e ln 2+ iπ + 3 =1

€

1+ eiπ = 0

€

2 ×1+ 2 × eiπ +1= 2 × 0 +1

€

2eiπ + 2 +1=1

€


€

e ln 2eiπ + 3 =1e ln 2+ iπ + 3 =1

Quad erat demonstrandum Ce qu’il fallait démontré Which was what we wanted


Conclusion and further work• Outline• Introduction • Richard P. Feynman’s favorite equation• A putative “Richard P. Feynman’s second favorite equation”• Proof• Conclusion and further work

– We are here now


Conclusion and further work



• I could go on and on forever



• I could go on and on forever

• It’s too bad he’s not with us to see this



– We are here now and it’s all finished

if richard p. feynman were with us now …

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