ENSO  Dataset, initial and certified values
y = a + b*cos(2*3.14159*x/12) + c*sin(2*3.14159*x/12) +
e*cos(2*3.14159*x/d) + f*sin(2*3.14159*x/d) +
h*cos(2*3.14159*x/g) + i*sin(2*3.14159*x/g)
a = 10.511 � 0.175 b = 3.076 � 0.243 c = 0.533 � 0.244
d = 44.314 � 0.944 e = 1.623 � 0.281 f = 0.526 � 0.481
g = 26.891 � 0.416 h = 0.215 � 0.515 i = 1.496 � 0.255
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
HAHN1  Dataset, initial and certified values
y = (a+b*x+c*x**2+d*x**3) / (1+e*x+f*x**2+g*x**3)
a = 1.078 � 0.171 b = 0.1227 � 0.0120
c = 0.004086 � 0.000225 d = 1.426E06 � 0.276E06
e = 0.005761 � 0.000247 f = 2.405E04 � 0.104E04
g = 1.231E07 � 0.130E07
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
GAUSS3  Dataset, initial and certified values
y = a*exp( b*x ) + c*exp( ( (xd) / e) **2 ) +
f*exp( ( (xg) / h )**2)
a = 98.940 � 0.530 b = 0.010946 � 0.000126
c = 100.696 � 0.813 d = 111.636 � 0.353
e = 23.300 � 0.366 f = 73.71 � 1.21
g = 147.762 � 0.405 h = 19.668 � 0.378
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
KIRBY2  Dataset, initial and certified values
y = (a + b*x + c*x**2) / (1 + d*x + e*x**2)
a = 1.6745 � 0.0880 b = 0.13928 � 0.00412
c = 25.961E04 � 0.419E04 d = 17.242E04 � 0.589E04
e = 21.665E06 � 0.201E06
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
LANCZOS1  Dataset, initial and certified values
y = a * exp( b * x ) + c * exp( d * x ) + e * exp( f * x )
a = 951000000.274E10 � 0.533E10 b = 1000000000.128E09 � 0.275E09
c = 860700000.134E09 � 0.136E09 d = 3000000000.235E09 � 0.333E09
e = 1557599999.838E09 � 0.188E09 f = 5000000000.112E09 � 0.111E09
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups; tolerance = 1.0E13).
LANCZOS2  Dataset, initial and certified values
y = a * exp( b * x ) + c * exp( d * x ) + e * exp( f * x )
a = 0.096251 � 0.000668 b = 1.00573 � 0.00340
c = 0.86425 � 0.00172 d = 3.00783 � 0.00417
e = 1.55290 � 0.00237 f = 5.00288 � 0.00140
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
MGH17  Dataset, initial and certified values
y = a + b * exp ( x * d ) + c * exp ( x * e )
a = 0.37541 � 0.00207 b = 1.936 � 0.220
c = 1.465 � 0.222 d = 0.012867 � 0.000449
e = 0.022123 � 0.000895
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
MISRA1C  Dataset, initial and certified values
y = a * ( 1  ( 1 + 2 * b * x ) ** ( .5 ) )
a = 636.43 � 4.66
b = 20.814E05 � 0.177E05
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
MISRA1D  Dataset, initial and certified values
y = a * b * x * ( ( 1 + b * x ) ** ( 1 ) )
a = 437.37 � 3.65
b = 30.227E05 � 0.293E05
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
NELSON  Dataset, initial and certified values
Attention: y = logY, being Y the original values.
y = a  b * x1 * exp ( c * x2 )
a = 2.5907 � 0.0192
b = 0.562E08 � 0.611E08
c = 0.05770 � 0.00396
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
ROSZMAN1  Dataset, initial and certified values
y = a  b * x  atan ( c / ( x  d ) ) / 3.14159
a = 0.2020 � 0.0192
b = 0.620E05 � 0.321E05
c = 1204.5 � 74.1
d = 181.3 � 49.6
Observation: the results agree with the validated values by the SRD of
the NIST (initial values suggested: primary and secondary groups).
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