Mathematical Functions and Operations

Table 1 lists the common mathematical functions which can be used in databases (tdb file) as well as in Pandat™ GUI table column expressions. Table 2 and Table 3 lists the mathematical operations which could be used in Pandat™ table column expressions.

Table 1:  Mathematical Functions for Databases and Table Column Expressions
Name Comments

sin(x), cos(x), tan(x), tan2(y,x)

Trigonometric functions. tan2(y,x)=tan(y/x)
asin(x), acos(x), atan(x), atan2(y,x)

Arcus functions. atan2(y,x)=atan(y/x)
sinh(x), cosh(x), tanh(x)

Hyperbolic functions
asinh(x), acosh(x), atanh(x)

Arcus hyperbolic functions
log2(x), log10(x), ln(x)

Hyperbolic functions
exp(x)

Exponential function
abs(x)

Absolute value
sqrt(x)

Square root

rint(x)

Round to integral value

sign(x)

Sign function

 

Table 2:  Mathematical Operations for Pandat™ Table Column Expressions
Name Operation Examples
+, -, *, /, ^

Addition, subtraction, multiplication, division and exponentiation

H-T*S

x(Al)+x(Ni)

1/T
//

Numerical derivative

H//T ( See Section Table Column Functions for an example)

 

Table 3:  Logical Operators for Pandat™ Table Column Expressions
Name Meaning Examples
=

equal to

#phases=2
phase_name=Liquid+Fcc+Hcp
tieline=5 (specifying tieline density)
!=

not equal to

phase_name!=Fcc

>

larger than

T>1200

<

less than

x(Al)<0.5

>=

larger than or equal to

f(@Liquid)>=0

<=

less than or equal to

a(Al)<=0.3