Is there such matrix function to help me get the coefficient Cf based on ratio s/h and B/s from given table in matrix form?

Wrote

Is there such matrix function to help me get the coefficient Cf based on ratio s/h and B/s from given table in matrix form?

You can either use linterp() or InterpBilinear().
They can also find an interpolated value between title numbers.
Please look at the Reference Book for further information.

Regards

Wrote

Wrote

Is there such matrix function to help me get the coefficient Cf based on ratio s/h and B/s from given table in matrix form?

You can either use linterp() or InterpBilinear().
They can also find an interpolated value between title numbers.
Please look at the Reference Book for further information.

Regards

Thank you. Found it here. https://en.smath.com/forum/yaf_postst17672_Interpolate-Matrix.aspx

Learn new things every day.

Wrote

Is there such matrix function to help me get
the coefficient Cf based on ratio s/h and B/s
from given table in matrix form?

Spline(M,x,y) is universal.
Construct 1/1 from the given example, forget decoration <, >
Just for interpolation, you don't need the rotation system.
Cheers ... Jean

Spline Matrix Tutorial RECTANGULAR Surface Plot.sm (22,98 KiB) descargado 1247 vez(es).

... nice example done for Smath Community visitor.
Construct rough data table, spline at will, plot is most delightful.
How do you manage ... Jean

SplineRectangularMatrix Isentropic Surface.sm (457,73 KiB) descargado 1281 vez(es).

Wrote

Wrote

Is there such matrix function to help me get
the coefficient Cf based on ratio s/h and B/s
from given table in matrix form?

Spline(M,x,y) is universal.
Construct 1/1 from the given example, forget decoration <, >
Just for interpolation, you don't need the rotation system.
Cheers ... Jean

Spline Matrix Tutorial RECTANGULAR Surface Plot.sm (22,98 KiB) descargado 1247 vez(es).

Beautiful. I love the way you present all math problems in such a lovely form.

Even though it is a very rare case, when x and/or y values exceed the range in my posted table the function will return the value more or less than it should be because I think the table cap the values. I wanted to make changes to the Spline function to reflect this but my limited knowledge in programing and Smath prevents me from doing that. Any suggestions?

Wrote

See you soon tomorrow ... Jean.

... here is, play with rotation.

Spline Matrix Tutorial RECTANGULAR Surface Plot Example.sm (23,4 KiB) descargado 1289 vez(es).

Wrote

Wrote

See you soon tomorrow ... Jean.

... here is, play with rotation.

Spline Matrix Tutorial RECTANGULAR Surface Plot Example.sm (23,4 KiB) descargado 1289 vez(es).

Awesome. When x=70, y=0.5, I need it to be 1.75 per code because x>45 but the function gives me 1.83. How would I modify the code for Spline to achieve this.

Obviously the function uses linear extrapolation beyond the limits of the data array.

Without touching the function you can enforce constant extrapolation by repeating the first or last rows or columns of data.


surface.sm (18,8 KiB) descargado 1171 vez(es).

Wrote

Awesome. When x=70, y=0.5, I need it to be 1.75 per code because x

... as simple as that, preserving last two cols linearity.

Me feeling dumb. Thanks, Jean and MKraska