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Built-in Mathematical Functions
Below are listed all the 279 built-in mathematical functions
available in GeneXproTools, including their representation in
Karva Notation
(shown in red) and their mathematical definition (for more details about
their implementation, see the built-in
grammars of GeneXproTools):
Basic arithmetic functions:
- Addition (+): (x+y)
- Subtraction (-): (x-y)
- Multiplication (*): (x*y)
- Division (/): (x/y)
- Addition with 3 inputs (Add3): (x+y+z)
- Subtraction with 3 inputs (Sub3):
(x-y-z)
- Multiplication with 3 inputs (Mul3):
(x*y*z)
- Division with 3 inputs (Div3):
(x/y/z)
- Addition with 4 inputs (Add4): (a+b+c+d)
- Subtraction with 4 inputs (Sub4):
(a-b-c-d)
- Multiplication with 4 inputs (Mul4):
(a*b*c*d)
- Division with 4 inputs (Div4):
(a/b/c/d)
Logarithmic functions:
- Natural logarithm (Ln): ln(x)
- Logarithm of base 10 (Log): log(x)
- Logarithm(x,y) (Log2): log(x,y)
Exponential and power functions:
- Square root (Sqrt): sqrt(x)
- Exponential (Exp): exp(x)
- Power (Pow): xy
- 10x (Pow10): 10x
- x2 (X2): x2
- x3 (X3): x3
- x4 (X4): x4
- x5 (X5): x5
- Cube root (3Rt): x(1/3)
- Quartic root (4Rt): x(1/4)
- Quintic root (5Rt): x(1/5)
- Logistic(x) (Logi): logistic(x)
- Logistic(x,y) (Logi2):
logistic(x,y)
- Logistic(x,y,z) (Logi3):
logistic(x,y,z)
- Logistic(a,b,c,d) (Logi4):
logistic(a,b,c,d)
- Gaussian(x) (Gau): gaussian(x)
- Gaussian(x,y) (Gau2):
gaussian(x,y)
- Gaussian(x,y,z) (Gau3):
gaussian(x,y,z)
- Gaussian(a,b,c,d) (Gau4):
gaussian(a,b,c,d)
Rounding and other simple functions:
- Floor (Floor): floor(x)
- Ceiling (Ceil): ceil(x)
- Floating-point remainder (Mod):
mod(x,y)
- Absolute value (Abs): abs(x)
- Inverse (Inv): 1/x
- Negation (Neg): -x
- Complement (NOT): (1-x)
- No operation (Nop): x
Minimum, maximum, and average functions:
- Minimum of 2 inputs (Min2):
min(x,y)
- Minimum of 3 inputs (Min3):
min(x,y,z)
- Minimum of 4 inputs (Min4):
min(a,b,c,d)
- Maximum of 2 inputs (Max2):
max(x,y)
- Maximum of 3 inputs (Max3):
max(x,y,z)
- Maximum of 4 inputs (Max4):
max(a,b,c,d)
- Average of 2 inputs (Avg2):
avg(x,y)
- Average of 3 inputs (Avg3):
avg(x,y,z)
- Average of 4 inputs (Avg4):
avg(a,b,c,d)
Constant functions:
- Constant zero function (Zero):
0(x) = 0
- Constant one function (One): 1(x)
= 1
- 0(x,y) (Zero2): 0(x,y) = 0
- 1(x,y) (One2): 1(x,y) = 1
- Number p (Pi): Pi(x) =
3.141592653589793
- Euler's number (E): E(x) =
2.718281828459045
Trigonometric functions (x is in radians):
- Sine (Sin): sin(x)
- Cosine (Cos): cos(x)
- Tangent (Tan): tan(x)
- Cosecant (Csc): csc(x)
- Secant (Sec): sec(x)
- Cotangent (Cot): cot(x)
Inverse trigonometric functions:
- Arcsine (Asin): arcsin(x)
- Arccosine (Acos): arccos(x)
- Arctangent (Atan): arctan(x)
- Arccosecant (Acsc): arccsc(x)
- Arcsecant (Asec): arcsec(x)
- Arccotangent (Acot): arccot(x)
Hyperbolic functions:
- Hyperbolic sine (Sinh): sinh(x)
- Hyperbolic cosine (Cosh): cosh(x)
- Hyperbolic tangent (Tanh): tanh(x)
- Hyperbolic cosecant (Csch): csch(x)
- Hyperbolic secant (Sech): sech(x)
- Hyperbolic cotangent (Coth): coth(x)
Inverse hyperbolic functions:
- Inverse hyperbolic sine (Asinh): arcsinh(x)
- Inverse hyperbolic cosine (Acosh): arccosh(x)
- Inverse hyperbolic tangent (Atanh): arctanh(x)
- Inverse hyperbolic cosecant (Acsch): arccsch(x)
- Inverse hyperbolic secant (Asech): arcsech(x)
- Inverse hyperbolic cotangent (Acoth): arccoth(x)
Comparison 0/1 functions of two arguments (OR series):
- OR1 (OR1): if x < 0 OR y <
0, then 1, else 0
- OR2 (OR2): if x >= 0 OR y
>= 0, then 1, else 0
- OR3 (OR3): if x <= 0 OR y
<= 0, then 1, else 0
- OR4 (OR4): if x < 1 OR y <
1, then 1, else 0
- OR5 (OR5): if x >= 1 OR y
>= 1, then 1, else 0
- OR6 (OR6): if x <= 1 OR y
<= 1, then 1, else 0
Comparison 0/1 functions of two arguments (AND series):
- AND1 (AND1): if x < 0 AND y
< 0, then 1, else 0
- AND2 (AND2): if x >= 0 AND y
>= 0, then 1, else 0
- AND3 (AND3): if x <= 0 AND y
<= 0, then 1, else 0
- AND4 (AND4): if x < 1 AND y
< 1, then 1, else 0
- AND5 (AND5): if x >= 1 AND y
>= 1, then 1, else 0
- AND6 (AND6): if x <= 1 AND y
<= 1, then 1, else 0
Comparison IF THEN ELSE functions of two arguments (series A):
- Less Than with 2 inputs (A) (LT2A):
if x < y, then x, else y
- Greater Than with 2 inputs (A) (GT2A):
if x > y, then x, else y
- Less Or Equal To with 2 inputs (A) (LOE2A):
if x <= y, then x, else y
- Greater Or Equal To with 2 inputs (A) (GOE2A):
if x >= y, then x, else y
- Equal To with 2 inputs (A) (ET2A):
if x = y, then x, else y
- Not Equal To with 2 inputs (A) (NET2A):
if x != y, then x, else y
Comparison 0/1 IF THEN ELSE functions of two arguments (series
B):
- Less Than with 2 inputs (B) (LT2B):
if x < y, then 1, else 0
- Greater Than with 2 inputs (B) (GT2B):
if x > y, then 1, else 0
- Less Or Equal To with 2 inputs (B) (LOE2B):
if x <= y, then 1, else 0
- Greater Or Equal To with 2 inputs (B) (GOE2B):
if x >= y, then 1, else 0
- Equal To with 2 inputs (B) (ET2B):
if x = y, then 1, else 0
- Not Equal To with 2 inputs (B) (NET2B):
if x != y, then 1, else 0
Comparison IF THEN ELSE functions of two arguments (series C):
- Less Than with 2 inputs (C) (LT2C):
if x < y, then (x+y), else (x-y)
- Greater Than with 2 inputs (C) (GT2C):
if x > y, then (x+y), else (x-y)
- Less Or Equal To with 2 inputs (C) (LOE2C):
if x <= y, then (x+y), else (x-y)
- Greater Or Equal To with 2 inputs (C) (GOE2C):
if x >= y, then (x+y), else (x-y)
- Equal To with 2 inputs (C) (ET2C):
if x = y, then (x+y), else (x-y)
- Not Equal To with 2 inputs (C) (NET2C):
if x != y, then (x+y), else (x-y)
Comparison IF THEN ELSE functions of two arguments (series D):
- Less Than with 2 inputs (D) (LT2D):
if x < y, then (x*y), else (x/y)
- Greater Than with 2 inputs (D) (GT2D):
if x > y, then (x*y), else (x/y)
- Less Or Equal To with 2 inputs (D) (LOE2D):
if x <= y, then (x*y), else (x/y)
- Greater Or Equal To with 2 inputs (D) (GOE2D):
if x >= y, then (x*y), else (x/y)
- Equal To with 2 inputs (D) (ET2D):
if x = y, then (x*y), else (x/y)
- Not Equal To with 2 inputs (D) (NET2D):
if x != y, then (x*y), else (x/y)
Comparison IF THEN ELSE functions of two arguments (series E):
- Less Than with 2 inputs (E) (LT2E):
if x < y, then (x+y), else (x*y)
- Greater Than with 2 inputs (E) (GT2E):
if x > y, then (x+y), else (x*y)
- Less Or Equal To with 2 inputs (E) (LOE2E):
if x <= y, then (x+y), else (x*y)
- Greater Or Equal To with 2 inputs (E) (GOE2E):
if x >= y, then (x+y), else (x*y)
- Equal To with 2 inputs (E) (ET2E):
if x = y, then (x+y), else (x*y)
- Not Equal To with 2 inputs (E) (NET2E):
if x != y, then (x+y), else (x*y)
Comparison IF THEN ELSE functions of two arguments (series F):
- Less Than with 2 inputs (F) (LT2F):
if x < y, then (x+y), else sin(x*y)
- Greater Than with 2 inputs (F) (GT2F):
if x > y, then (x+y), else sin(x*y)
- Less Or Equal To with 2 inputs (F) (LOE2F):
if x <= y, then (x+y), else sin(x*y)
- Greater Or Equal To with 2 inputs (F) (GOE2F):
if x >= y, then (x+y), else sin(x*y)
- Equal To with 2 inputs (F) (ET2F):
if x = y, then (x+y), else sin(x*y)
- Not Equal To with 2 inputs (F) (NET2F):
if x != y, then (x+y), else sin(x*y)
Comparison IF THEN ELSE functions of two arguments (series G):
- Less Than with 2 inputs (G) (LT2G):
if x < y, then (x+y), else atan(x*y)
- Greater Than with 2 inputs (G) (GT2G):
if x > y, then (x+y), else atan(x*y)
- Less Or Equal To with 2 inputs (G) (LOE2G):
if x <= y, then (x+y), else atan(x*y)
- Greater Or Equal To with 2 inputs (G) (GOE2G):
if x >= y, then (x+y), else atan(x*y)
- Equal To with 2 inputs (G) (ET2G):
if x = y, then (x+y), else atan(x*y)
- Not Equal To with 2 inputs (G) (NET2G):
if x != y, then (x+y), else atan(x*y)
Comparison IF THEN ELSE functions of three arguments (series A):
- Less Than with 3 inputs (A) (LT3A):
if x < 0, then y, else z
- Greater Than with 3 inputs (A) (GT3A):
if x > 0, then y, else z
- Less Or Equal To with 3 inputs (A) (LOE3A):
if x <= 0, then y, else z
- Greater Or Equal To with 3 inputs (A) (GOE3A):
if x >= 0, then y, else z
- Equal To with 3 inputs (A) (ET3A):
if x = 0, then y, else z
- Not Equal To with 3 inputs (A) (NET3A):
if x != 0, then y, else z
Comparison IF THEN ELSE functions of three arguments (series B):
- Less Than with 3 inputs (B) (LT3B):
if (x+y) < z, then (x+y), else z
- Greater Than with 3 inputs (B) (GT3B):
if (x+y) > z, then (x+y), else z
- Less Or Equal To with 3 inputs (B) (LOE3B):
if (x+y) <= z, then (x+y), else z
- Greater Or Equal To with 3 inputs (B) (GOE3B):
if (x+y) >= z, then (x+y), else z
- Equal To with 3 inputs (B) (ET3B):
if (x+y) = z, then (x+y), else z
- Not Equal To with 3 inputs (B) (NET3B):
if (x+y) != z, then (x+y), else z
Comparison IF THEN ELSE functions of three arguments (series C):
- Less Than with 3 inputs (C) (LT3C):
if (x+y) < z, then (x+y), else (x+z)
- Greater Than with 3 inputs (C) (GT3C):
if (x+y) > z, then (x+y), else (x+z)
- Less Or Equal To with 3 inputs (C) (LOE3C):
if (x+y) <= z, then (x+y), else (x+z)
- Greater Or Equal To with 3 inputs (C) (GOE3C):
if (x+y) >= z, then (x+y), else (x+z)
- Equal To with 3 inputs (C) (ET3C):
if (x+y) = z, then (x+y), else (x+z)
- Not Equal To with 3 inputs (C) (NET3C):
if (x+y) != z, then (x+y), else (x+z)
Comparison IF THEN ELSE functions of three arguments (series D):
- Less Than with 3 inputs (D) (LT3D):
if (x+y) < z, then (x+y), else (x-z)
- Greater Than with 3 inputs (D) (GT3D):
if (x+y) > z, then (x+y), else (x-z)
- Less Or Equal To with 3 inputs (D) (LOE3D):
if (x+y) <= z, then (x+y), else (x-z)
- Greater Or Equal To with 3 inputs (D) (GOE3D):
if (x+y) >= z, then (x+y), else (x-z)
- Equal To with 3 inputs (D) (ET3D):
if (x+y) = z, then (x+y), else (x-z)
- Not Equal To with 3 inputs (D) (NET3D):
if (x+y) != z, then (x+y), else (x-z)
Comparison IF THEN ELSE functions of three arguments (series E):
- Less Than with 3 inputs (E) (LT3E):
if (x+y) < z, then (x+y), else (x*z)
- Greater Than with 3 inputs (E) (GT3E):
if (x+y) > z, then (x+y), else (x*z)
- Less Or Equal To with 3 inputs (E) (LOE3E):
if (x+y) <= z, then (x+y), else (x*z)
- Greater Or Equal To with 3 inputs (E) (GOE3E):
if (x+y) >= z, then (x+y), else (x*z)
- Equal To with 3 inputs (E) (ET3E):
if (x+y) = z, then (x+y), else (x*z)
- Not Equal To with 3 inputs (E) (NET3E):
if (x+y) != z, then (x+y), else (x*z)
Comparison IF THEN ELSE functions of three arguments (series F):
- Less Than with 3 inputs (F) (LT3F):
if (x+y) < z, then (x+y), else (x/z)
- Greater Than with 3 inputs (F) (GT3F):
if (x+y) > z, then (x+y), else (x/z)
- Less Or Equal To with 3 inputs (F) (LOE3F):
if (x+y) <= z, then (x+y), else (x/z)
- Greater Or Equal To with 3 inputs (F) (GOE3F):
if (x+y) >= z, then (x+y), else (x/z)
- Equal To with 3 inputs (F) (ET3F):
if (x+y) = z, then (x+y), else (x/z)
- Not Equal To with 3 inputs (F) (NET3F):
if (x+y) != z, then (x+y), else (x/z)
Comparison IF THEN ELSE functions of three arguments (series G):
- Less Than with 3 inputs (G) (LT3G):
if (x+y) < z, then (x*y), else (x+z)
- Greater Than with 3 inputs (G) (GT3G):
if (x+y) > z, then (x*y), else (x+z)
- Less Or Equal To with 3 inputs (G) (LOE3G):
if (x+y) <= z, then (x*y), else (x+z)
- Greater Or Equal To with 3 inputs (G) (GOE3G):
if (x+y) >= z, then (x*y), else (x+z)
- Equal To with 3 inputs (G) (ET3G):
if (x+y) = z, then (x*y), else (x+z)
- Not Equal To with 3 inputs (G) (NET3G):
if (x+y) != z, then (x*y), else (x+z)
Comparison IF THEN ELSE functions of three arguments (series H):
- Less Than with 3 inputs (H) (LT3H):
if (x+y) < z, then (x*y), else (x-z)
- Greater Than with 3 inputs (H) (GT3H):
if (x+y) > z, then (x*y), else (x-z)
- Less Or Equal To with 3 inputs (H) (LOE3H):
if (x+y) <= z, then (x*y), else (x-z)
- Greater Or Equal To with 3 inputs (H) (GOE3H):
if (x+y) >= z, then (x*y), else (x-z)
- Equal To with 3 inputs (H) (ET3H):
if (x+y) = z, then (x*y), else (x-z)
- Not Equal To with 3 inputs (H) (NET3H):
if (x+y) != z, then (x*y), else (x-z)
Comparison IF THEN ELSE functions of three arguments (series I):
- Less Than with 3 inputs (I) (LT3I):
if (x+y) < z, then (x*y), else (x*z)
- Greater Than with 3 inputs (I) (GT3I):
if (x+y) > z, then (x*y), else (x*z)
- Less Or Equal To with 3 inputs (I) (LOE3I):
if (x+y) <= z, then (x*y), else (x*z)
- Greater Or Equal To with 3 inputs (I) (GOE3I):
if (x+y) >= z, then (x*y), else (x*z)
- Equal To with 3 inputs (I) (ET3I):
if (x+y) = z, then (x*y), else (x*z)
- Not Equal To with 3 inputs (I) (NET3I):
if (x+y) != z, then (x*y), else (x*z)
Comparison IF THEN ELSE functions of three arguments (series J):
- Less Than with 3 inputs (J) (LT3J):
if (x+y) < z, then (x*y), else (x/z)
- Greater Than with 3 inputs (J) (GT3J):
if (x+y) > z, then (x*y), else (x/z)
- Less Or Equal To with 3 inputs (J) (LOE3J):
if (x+y) <= z, then (x*y), else (x/z)
- Greater Or Equal To with 3 inputs (J) (GOE3J):
if (x+y) >= z, then (x*y), else (x/z)
- Equal To with 3 inputs (J) (ET3J):
if (x+y) = z, then (x*y), else (x/z)
- Not Equal To with 3 inputs (J) (NET3J):
if (x+y) != z, then (x*y), else (x/z)
Comparison IF THEN ELSE functions of three arguments (series K):
- Less Than with 3 inputs (K) (LT3K):
if (x+y) < z, then (x+y+z), else sin(x*y*z)
- Greater Than with 3 inputs (K) (GT3K):
if (x+y) > z, then (x+y+z), else sin(x*y*z)
- Less Or Equal To with 3 inputs (K) (LOE3K):
if (x+y) <= z, then (x+y+z), else sin(x*y*z)
- Greater Or Equal To with 3 inputs (K) (GOE3K):
if (x+y) >= z, then (x+y+z), else sin(x*y*z)
- Equal To with 3 inputs (K) (ET3K):
if (x+y) = z, then (x+y+z), else sin(x*y*z)
- Not Equal To with 3 inputs (K) (NET3K):
if (x+y) != z, then (x+y+z), else sin(x*y*z)
Comparison IF THEN ELSE functions of three arguments (series L):
- Less Than with 3 inputs (L) (LT3L):
if (x+y) < z, then (x+y+z), else atan(x*y*z)
- Greater Than with 3 inputs (L) (GT3L):
if (x+y) > z, then (x+y+z), else atan(x*y*z)
- Less Or Equal To with 3 inputs (L) (LOE3L):
if (x+y) <= z, then (x+y+z), else atan(x*y*z)
- Greater Or Equal To with 3 inputs (L) (GOE3L):
if (x+y) >= z, then (x+y+z), else atan(x*y*z)
- Equal To with 3 inputs (L) (ET3L):
if (x+y) = z, then (x+y+z), else atan(x*y*z)
- Not Equal To with 3 inputs (L) (NET3L):
if (x+y) != z, then (x+y+z), else atan(x*y*z)
Comparison IF THEN ELSE functions of four arguments (series A):
- Less Than with 4 inputs (A) (LT4A):
if a < b, then c, else d
- Greater Than with 4 inputs (A) (GT4A):
if a > b, then c, else d
- Less Or Equal To with 4 inputs (A) (LOE4A):
if a <= b, then c, else d
- Greater Or Equal To with 4 inputs (A) (GOE4A):
if a >= b, then c, else d
- Equal To with 4 inputs (A) (ET4A):
if a = b, then c, else d
- Not Equal To with 4 inputs (A) (NET4A):
if a != b, then c, else d
Comparison IF THEN ELSE functions of four arguments (series B):
- Less Than with 4 inputs (B) (LT4B):
if (a+b) < (c+d), then c, else d
- Greater Than with 4 inputs (B) (GT4B):
if (a+b) > (c+d), then c, else d
- Less Or Equal To with 4 inputs (B) (LOE4B):
if (a+b) <= (c+d), then c, else d
- Greater Or Equal To with 4 inputs (B) (GOE4B):
if (a+b) >= (c+d), then c, else d
- Equal To with 4 inputs (B) (ET4B):
if (a+b) = (c+d), then c, else d
- Not Equal To with 4 inputs (B) (NET4B):
if (a+b) != (c+d), then c, else d
Comparison IF THEN ELSE functions of four arguments (series C):
- Less Than with 4 inputs (C) (LT4C):
if (a+b) < (c+d), then (a+b), else (c+d)
- Greater Than with 4 inputs (C) (GT4C):
if (a+b) > (c+d), then (a+b), else (c+d)
- Less Or Equal To with 4 inputs (C) (LOE4C):
if (a+b) <= (c+d), then (a+b), else (c+d)
- Greater Or Equal To with 4 inputs (C) (GOE4C):
if (a+b) >= (c+d), then (a+b), else (c+d)
- Equal To with 4 inputs (C) (ET4C):
if (a+b) = (c+d), then (a+b), else (c+d)
- Not Equal To with 4 inputs (C) (NET4C):
if (a+b) != (c+d), then (a+b), else (c+d)
Comparison IF THEN ELSE functions of four arguments (series D):
- Less Than with 4 inputs (D) (LT4D):
if (a+b) < (c+d), then (a+b), else (c-d)
- Greater Than with 4 inputs (D) (GT4D):
if (a+b) > (c+d), then (a+b), else (c-d)
- Less Or Equal To with 4 inputs (D) (LOE4D):
if (a+b) <= (c+d), then (a+b), else (c-d)
- Greater Or Equal To with 4 inputs (D) (GOE4D):
if (a+b) >= (c+d), then (a+b), else (c-d)
- Equal To with 4 inputs (D) (ET4D):
if (a+b) = (c+d), then (a+b), else (c-d)
- Not Equal To with 4 inputs (D) (NET4D):
if (a+b) != (c+d), then (a+b), else (c-d)
Comparison IF THEN ELSE functions of four arguments (series E):
- Less Than with 4 inputs (E) (LT4E):
if (a+b) < (c+d), then (a+b), else (c*d)
- Greater Than with 4 inputs (E) (GT4E):
if (a+b) > (c+d), then (a+b), else (c*d)
- Less Or Equal To with 4 inputs (E) (LOE4E):
if (a+b) <= (c+d), then (a+b), else (c*d)
- Greater Or Equal To with 4 inputs (E) (GOE4E):
if (a+b) >= (c+d), then (a+b), else (c*d)
- Equal To with 4 inputs (E) (ET4E):
if (a+b) = (c+d), then (a+b), else (c*d)
- Not Equal To with 4 inputs (E) (NET4E):
if (a+b) != (c+d), then (a+b), else (c*d)
Comparison IF THEN ELSE functions of four arguments (series F):
- Less Than with 4 inputs (F) (LT4F):
if (a+b) < (c+d), then (a+b), else (c/d)
- Greater Than with 4 inputs (F) (GT4F):
if (a+b) > (c+d), then (a+b), else (c/d)
- Less Or Equal To with 4 inputs (F) (LOE4F):
if (a+b) <= (c+d), then (a+b), else (c/d)
- Greater Or Equal To with 4 inputs (F) (GOE4F):
if (a+b) >= (c+d), then (a+b), else (c/d)
- Equal To with 4 inputs (F) (ET4F):
if (a+b) = (c+d), then (a+b), else (c/d)
- Not Equal To with 4 inputs (F) (NET4F):
if (a+b) != (c+d), then (a+b), else (c/d)
Comparison IF THEN ELSE functions of four arguments (series G):
- Less Than with 4 inputs (G) (LT4G):
if (a+b) < (c+d), then (a*b), else (c+d)
- Greater Than with 4 inputs (G) (GT4G):
if (a+b) > (c+d), then (a*b), else (c+d)
- Less Or Equal To with 4 inputs (G) (LOE4G):
if (a+b) <= (c+d), then (a*b), else (c+d)
- Greater Or Equal To with 4 inputs (G) (GOE4G):
if (a+b) >= (c+d), then (a*b), else (c+d)
- Equal To with 4 inputs (G) (ET4G):
if (a+b) = (c+d), then (a*b), else (c+d)
- Not Equal To with 4 inputs (G) (NET4G):
if (a+b) != (c+d), then (a*b), else (c+d)
Comparison IF THEN ELSE functions of four arguments (series H):
- Less Than with 4 inputs (H) (LT4H):
if (a+b) < (c+d), then (a*b), else (c-d)
- Greater Than with 4 inputs (H) (GT4H):
if (a+b) > (c+d), then (a*b), else (c-d)
- Less Or Equal To with 4 inputs (H) (LOE4H):
if (a+b) <= (c+d), then (a*b), else (c-d)
- Greater Or Equal To with 4 inputs (H) (GOE4H):
if (a+b) >= (c+d), then (a*b), else (c-d)
- Equal To with 4 inputs (H) (ET4H):
if (a+b) = (c+d), then (a*b), else (c-d)
- Not Equal To with 4 inputs (H) (NET4H):
if (a+b) != (c+d), then (a*b), else (c-d)
Comparison IF THEN ELSE functions of four arguments (series I):
- Less Than with 4 inputs (I) (LT4I):
if (a+b) < (c+d), then (a*b), else (c*d)
- Greater Than with 4 inputs (I) (GT4I):
if (a+b) > (c+d), then (a*b), else (c*d)
- Less Or Equal To with 4 inputs (I) (LOE4I):
if (a+b) <= (c+d), then (a*b), else (c*d)
- Greater Or Equal To with 4 inputs (I) (GOE4I):
if (a+b) >= (c+d), then (a*b), else (c*d)
- Equal To with 4 inputs (I) (ET4I):
if (a+b) = (c+d), then (a*b), else (c*d)
- Not Equal To with 4 inputs (I) (NET4I):
if (a+b) != (c+d), then (a*b), else (c*d)
Comparison IF THEN ELSE functions of four arguments (series J):
- Less Than with 4 inputs (J) (LT4J):
if (a+b) < (c+d), then (a*b), else (c/d)
- Greater Than with 4 inputs (J) (GT4J):
if (a+b) > (c+d), then (a*b), else (c/d)
- Less Or Equal To with 4 inputs (J) (LOE4J):
if (a+b) <= (c+d), then (a*b), else (c/d)
- Greater Or Equal To with 4 inputs (J) (GOE4J):
if (a+b) >= (c+d), then (a*b), else (c/d)
- Equal To with 4 inputs (J) (ET4J):
if (a+b) = (c+d), then (a*b), else (c/d)
- Not Equal To with 4 inputs (J) (NET4J):
if (a+b) != (c+d), then (a*b), else (c/d)
Comparison IF THEN ELSE functions of four arguments (series K):
- Less Than with 4 inputs (K) (LT4K):
if (a+b) < (c+d), then sin(a*b), else sin(c*d)
- Greater Than with 4 inputs (K) (GT4K):
if (a+b) > (c+d), then sin(a*b), else sin(c*d)
- Less Or Equal To with 4 inputs (K) (LOE4K):
if (a+b) <= (c+d), then sin(a*b), else sin(c*d)
- Greater Or Equal To with 4 inputs (K) (GOE4K):
if (a+b) >= (c+d), then sin(a*b), else sin(c*d)
- Equal To with 4 inputs (K) (ET4K):
if (a+b) = (c+d), then sin(a*b), else sin(c*d)
- Not Equal To with 4 inputs (K) (NET4K):
if (a+b) != (c+d), then sin(a*b), else sin(c*d)
Comparison IF THEN ELSE functions of four arguments (series L):
- Less Than with 4 inputs (L) (LT4L):
if (a+b) < (c+d), then atan(a*b), else atan(c*d)
- Greater Than with 4 inputs (L) (GT4L):
if (a+b) > (c+d), then atan(a*b), else atan(c*d)
- Less Or Equal To with 4 inputs (L) (LOE4L):
if (a+b) <= (c+d), then atan(a*b), else atan(c*d)
- Greater Or Equal To with 4 inputs (L) (GOE4L):
if (a+b) >= (c+d), then atan(a*b), else atan(c*d)
- Equal To with 4 inputs (L) (ET4L):
if (a+b) = (c+d), then atan(a*b), else atan(c*d)
- Not Equal To with 4 inputs (L) (NET4L):
if (a+b) != (c+d), then atan(a*b), else atan(c*d)
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