Aftermath - Fall 2017

Page 1

AfTERMATH

D E PA RT M E N T O F M AT H E M AT I C S BIANNUAL NEWSLETTER | FALL 2017 | VOLUME 17, ISSUE 1

8

9

36

45

21 28

120

35 70

126

210

5

1

15

6

56 126

252

1

21

7 28

84

210

1 8

1

36

9

120 45

j=1 i=1

Σ

x i,j =

8

i=1

Σx

x i,1 +

1 10

1

8

i=1

i,2

Σ

logxy = logx + logy

P

0

0

ALAN TURING

÷

4 (4x) + 2 (x) = 72 16x + 2x = 72 18x = 72 x=?

JR

.

+

EU

87 98

LE

R

ax

+

2

bx

1 = 0.999999999... RD

SH

A N

Dx y

ƒ(x)

A∆ B

≈∫

Ax = b

)≥

0

c=

cos x dx = sin x

t

sin(x2/2) dx)

+

SOPHIE GERMAIN

A

ø

PYTHAGORAS OF SAMOS

x

2

cos(x /2) dx,

H

h

»∫

є (∫

t

N

«

c = π·d = 2·π·r

∫xdx

35 56

84

1

10 20

ax2 + bx + c = 0

8

O

ES

=

17 x 24 = 30 25

2

LE

RB FO

∂v ∂x ∂v ∂y

1

10 15

1 4

GOTTFRIED WILLHELM LEIBNIZ 2.56 = 2 + 56/100

ΣΣ

N

H

JO

[ ]

∂u J = ∂x ∂u ∂y

10

7

6

ARCHIMEDES OF SYRACUSE

d x e dx

1

5 6

SA = 6s 2

A = s2

EMMY NOETHER

1

ADA LOVELACE

f(x+h) - f(x)

0

1 1

4

3

V-E+F=2

√2

h

1

1

3

n

ƒ'(x)= lim

1

O

|| x + y || ≤ || x || + || y ||

(a n) m = a nm

ɸ i=0

–b ± √b - 4ac 2a

x=

1 2

n

Σ

f (i)(0) i x i!

1 1

2

1

123 x 5 =

2

HYPATIA OF ALEXANDRIA

1

∫ sin x dx = -cos x

sin(0.01) ≈ 0.01

< ± f (x) = F(b) - F(a)

ƒ(x)=

c

EUCLID OF ALEXANDRIA

LEONARDO BONACCI

∫a

E = mc

b

n

sinh(x) = (ex - e - x)/2

a

γ

d2(3x3)/dx2 = 18x

b

10

x+y=z

1 y= x

2

ELENA CORNARO PISCOPIA

a2+ b2= c 2

SIR ISAAC NEWTON

>

π

Δiπ e +1= 0

x

d = √(x2 - x1)2 + (y2 - y1)2

BERNHARD RIEMANN

SRINIVASA RAMANUJAN

8-4 = 2

ÿ

OMAR KHAYYÁM

A = xr C=2πr

є>0

x

102

46264338327950288419 71693993751058209749 44592307816406286208 99862803482534211706 79821480865132823066 470938446095505822....

2 > -3

r

525

456 x 0 =

1/4 + 3/4 = 4/4 = 1

2

CARL FRIEDRICH GAUSS

t

ERATOSTHENES OF CYRENE

LEONARDO PISANO BLGOLLO

w

| -5 | = 5 101 = 5

84112 > -84112

2 × (3 + 5) = 16 MDCCCL √-1 3.141592653589793238 MATH

®


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