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The Helpful Mathematics
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Products
1.
Diffusion filter I — speckle noise reduction
2.
Diffusion filter II — speckle noise reduction
3.
Automotive digital LCD dashboards
4.
Scientific calculator Li-L
5.
Scientific calculator Li-X — advanced
6.
Scientific calculator Li-Lc — complex numbers
7.
Scientific calculator Li-Xc — complex numbers, advanced
Articles
1.
Median filter
A.1.
Median filter source code
A.2.
Median filter source code
2.
Image rotation
3.
Deformation visualization
4.
Pendulum in viscous media
5.
Mean filter, or average filter
A.1.
Mean filter, or average filter source code
A.2.
Mean filter, or average filter source code
6.
Filter window, or filter mask
7.
Alpha-trimmed mean filter
A.1.
Alpha-trimmed mean filter source code
A.2.
Alpha-trimmed mean filter source code
8.
Hybrid median filter
A.1.
Hybrid median filter source code
A.2.
Hybrid median filter source code
9.
Gaussian filter, or Gaussian blur
A.1.
Gaussian filter, or Gaussian blur source code
A.2.
Gaussian filter, or Gaussian blur source code
10.
Fast Fourier transform — FFT
A.1.
Fast Fourier transform — FFT — source code
A.2.
Fast Fourier transform — FFT — source code
B.1.
Complex number source code
B.2.
Complex number source code
11.
Function handbook
A.1.
abs — absolute value function
A.2.
arccos — trigonometric arc cosine function
A.3.
arccsc or arccosec — trigonometric arc cosecant function
A.4.
arccot or arcctg — trigonometric arc cotangent function
A.5.
arcosh or arch — arc-hyperbolic cosine function
A.6.
arcsch — arc-hyperbolic cosecant function
A.7.
arcsec — trigonometric arc secant function
A.8.
arcsin — trigonometric arc sine function
A.9.
arctan or arctg — trigonometric arc tangent function
A.10.
arcoth or arcth — arc-hyperbolic cotangent function
A.11.
arsech or arsch — arc-hyperbolic secant function
A.12.
arsinh or arsh — arc-hyperbolic sine function
A.13.
artanh or arth — arc-hyperbolic tangent function
A.14.
cosh or ch — hyperbolic cosine function
A.15.
cos — trigonometric cosine function
A.16.
csc or cosec — trigonometric cosecant function
A.17.
csch — hyperbolic cosecant function
A.18.
cot or ctg — trigonometric cotangent function
A.19.
coth or cth — hyperbolic cotangent function
A.20.
exp — exponential function
A.21.
n! — factorial
A.22.
log or lg — decimal logarithmic function
A.23.
ln — natural logarithmic function
A.24.
^ — power function
A.25.
sec — trigonometric secant function
A.26.
sech — hyperbolic secant function
A.27.
sinh or sh — hyperbolic sine function
A.28.
sin — trigonometric sine function
A.29.
√ or sqrt — square root function
A.30.
tan or tg — trigonometric tangent function
A.31.
tanh or th — hyperbolic tangent function
A.32.
sign — signum function
A.33.
Γ — gamma function
A.34.
J
ν
— Bessel function of the first kind
A.35.
Y
ν
— Bessel function of the second kind
A.36.
I
ν
— modified Bessel function of the first kind
A.37.
K
ν
— modified Bessel function of the second kind
A.38.
ceil — ceiling function
A.39.
floor — floor function
Cases
1.
3D median filter — ultrasound image despeckling
2.
ECG processing — R-peaks detection
3.
EGE — embedded graphic engine
4.
4D ultrasound volume image processing — animation building
5.
3D wavelet compression of ultrasound volume images
6.
Scientific calculator Li-L — why and how
7.
Scientific calculators
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