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A collection of advanced mathematics equations and constants, including trigonometric functions, integrals, derivatives, and physical constants. It covers topics such as calculus, differential equations, and thermodynamics.
Typology: Exams
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y x t( , ) ym sin ( k x t)
2 k
2 2 f T
P avg v ym
( , ) [2 cos ]sin ( 2) 2
y ( , )^ x t [2 ym sin kx] cos t
v v f n n L
s sm cos ( k x t)
p p (^) m sin ( k x t)
2
L
2 4
I^ P^ s r
I v sm (10^ ) log o
dB I
D
S
v v f f v v
1,3,5,... 4
L
v
o T T
o TF TC
Q Lm Q cm T
E (^) int Q W
Vf
Vi
4 P rad AT
4 P abs ATenv
H C cond
P kA t L
PV nRT NkT ln
f
i
W nRT V
rms
v M
K avg kT
V
n T
P
n T
CP CV R E (^) int nCV T
=
p V
C
C
1 TV Constant
PV Constant
f
i
dQ S T
f i
S mc T
ln (^) Vln
f f
i i
S nR nc V T
H L
H L
H
c^1 L^1 L H H
H L
L L c H L
1 2 2
(^4) o
q q F r
2
(^4) o
q E r
(^2) o
o
q
3 (^4) o
q E r R
o (^) net qenc
o
U q V (^2) o
r
E s
f
f i i
1 1
1
4
n n i i i (^) o i i
q V V (^) r
(^4) o
q V r
x ;^ y ; z
x y z
o
q q U r
2 (^12)
2 2
q U CV C
ln
o
b a
o^
dq i dt
1
E J
P iV
V L R i A
(^) o o ( T To) q q eot RC
t RC q C e
o^
q t RC i e RC
t RC i e R
4
B oi R
2 4
o i^ dB r
^ d s^ r
B oi R
2
o a b ba
Li i F d
2 2 2 B L v P R
N^ d B dt
2
2 2 2
2
;
1 ; ; 2 2 0; 1 2
r
o o o
F ma F mv R
v v at x v t at v v a x
k U K mv
CONSTANTS 12 2 2 o 8.854 10 C N m
23 1 6.022 10 mole
NA
1 atm 1.01 10 N / m^5
1 eV 1.602 10 ^19 J 343 m / s vair 19 e 1.602 10 C
12 2 Io 10 W / m
7 o 4 10 T m A
31 me 9.11 10 kg
27 mp 1.673 10 kg
g 9.8 m / s^2
R 8.314 J / mole.K 1 L 10 ^3 m^3
k 1.381 10 ^23 J K^1 cal^ 4.1868 J FOR WATER
LV 2256 kJ / kg LF 333 kJ / kg PREFIXES k kilo 103 m milli 10 ^3 6 M mega 10 micro 10 ^6
G giga 109 9 n nano 10 12 T tera 10 p pico 10 ^12