DGM
Skeptic not Atheist
Yes. Your analysis was on that level. That was about the only thing R Mackey got right.
So how has your "research" improved the understanding (and society benefited) of the events?
Yes. Your analysis was on that level. That was about the only thing R Mackey got right.
Yes. Your analysis was on that level. That was about the only thing R Mackey got right.
The moral of the story is that real measurements can be useful. Maybe you don't know why until you make them.
I understand that many JREF posters do not see any benefit in real data as is demonstrated by the R Mackey post. It is just a difference in style. I am kind of boring in that way.
May I suggest other members who agree that the images should stay in place contact LashL ?
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I don't think the decision will change. I PM'd LashL and it seems a rigid stance.I don't quite get why they were removed, either. Seems a bit much seeing as though they're important in the thread.
I appreciate your effort, but something's wrong with the coefficients in your table. Using the polynomial P described by those coefficients,Sorted. See edit above.
As the person who may have spent more time than anyone else on study of your graphs, I must say I applaud LashL's edits.It seems LashL is tracking through the thread changing images to links due to either repetition or oversize.
I have to object. These images are sized to fit on the screen fine (they do not even result in expansion of the natural frame sizing), need to be big enough to see what is going on, and are repeated directly as part of the ongoing technical discussion.
...snip...
May I suggest other members who agree that the images should stay in place contact LashL ?
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I've used the coefficients to replicate the curve fine.I appreciate your effort, but something's wrong with the coefficients in your table. Using the polynomial P described by those coefficients,
P(12s) = -18675.343712 ft
P(13s) = -37200.003097 ft
P(14s) = -70464.021068 ft
P(15s) = -127748.495825 ft
P(16s) = -222920.623168 ft
P(17s) = -376179.828497 ft
The coefficients are in reverse order to those spat out by Linest, to ensure, for example, that X^4 is always in the same place even if you change the degree.Coefficients (first row) are in increasing exponent order b, m1, m2...
Other values are as-per standard Excel Linest function.
R2 = 0.999994204
Raw data pre-smoothed with 9 sample symmetric difference - max - min.
Last one/two are zero.Furthermore, the coefficients in your table describe a polynomial of degree 8, not 10.
See above.At this point, it appears to me that my reverse-engineered version of your model is considerably more accurate than the quantitative model you have provided.
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I find them very difficult to read. Perhaps some use of colour rather than line-stipple ?My graphs are small enough not to create that problem.
The numbers are correct.Instead of relying on large graphs to describe your models, I suggest you get the numbers right and post them instead.
FYI: I am not using Linest or Excel. I am using mathematics.I've used the coefficients to replicate the curve fine.
I imagine you've got the order backwards.
X^0, X^1, X^2, X^3, ...
In case you missed an edit...
The coefficients are in reverse order to those spat out by Linest, to ensure, for example, that X^4 is always in the same place even if you change the degree.
P(12) = -0.9079
P(13) = -8.3916
...
10 coefficients, last one is zero.
161995.792 | -50786.77046 | 5434.711807 | -162.2158 | -7.5523 | 0.2763 | 0.0168 | 0.0002 | -0.0001 | 0
In standard mathematical notation, you're saying your polynomial isCoefficients (first row) are in increasing exponent order b, m1, m2...
The numbers are correct.

Fine. I gave you the Linest function help page so you'd know what the other parameters were...FYI: I am not using Linest or Excel. I am using mathematics.
Spot on.Here's the first row of your table, which allegedly contains your coefficients
Yep.In standard mathematical notation, you're saying your polynomial is
P(tx) = 161995.792 - 50786.77046 x + 5434.711807 x^2 - 162.2158 x^3 - 7.5523 x^4 + 0.2763 x^5 + 0.0168 x^6 + 0.0002 x^7 - 0.0001 x^8
161,995.7920, Absolutely.Which means you're telling us that P(0s)= 161995.792 ft.
Careful with those laughing dogs now W.D.Clinger.
I forgot nothing, and I've had the coefficients the right way around from the first.Yep.In standard mathematical notation, you're saying your polynomial is
P(tx) = 161995.792 - 50786.77046 x + 5434.711807 x^2 - 162.2158 x^3 - 7.5523 x^4 + 0.2763 x^5 + 0.0168 x^6 + 0.0002 x^7 - 0.0001 x^8
161,995.7920, Absolutely.Which means you're telling us that P(0s)= 161995.792 ft.
Careful with those laughing dogs now W.D.Clinger.
You forgot that you have a T0 of 11.8785s
At least you have the coefficients the right way around now.
p(11.8785) = -1.0226i forgot nothing, and i've had the coefficients the right way around from the first.
You agreed above that
p(t) = 161995.792 - 50786.77046 t + 5434.711807 t^2 - 162.2158 t^3 - 7.5523 t^4 + 0.2763 t^5 + 0.0168 t^6 + 0.0002 t^7 - 0.0001 t^8
so (using ieee double precision)
p(11.8785)
= 161995.792
- 50786.77046 * 11.8785
+ 5434.711807 * 11.8785^2
- 162.2158 * 11.8785^3
- 7.5523 * 11.8785^4
+ 0.2763 * 11.8785^5
+ 0.0168 * 11.8785^6
+ 0.0002 * 11.8785^7
- 0.0001 * 11.8785^8
= 161995.792
- 50786.77046 * 11.8785
+ 5434.711807 * 141.09876225000002
- 162.2158 * 1676.0416473866253
- 7.5523 * 19908.860708482032
+ 0.2763 * 236487.40192570383
+ 0.0168 * 2809115.6037744726
+ 0.0002 * 33368079.699435074
- 0.0001 * 396362734.7097397
= 161995.792
- 603270.6529091101
+ 766831.1091531609
- 271880.4366641393
- 150357.68872866884
+ 65341.469152071964
+ 47193.14214341114
+ 6673.615939887015
- 39636.27347097397
= -17109.923384361173
looks like my laughing dog was too small.
Does anyone here know how to multiply and add/subtract?p(11.8785) = -1.0226
See above.Does anyone here know how to multiply and add/subtract?
Because femr2 sure doesn't.
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See above.
p(11.8785) = -1.0226
Showing your colours.
% cat Femr2.java
public class Femr2 {
public static void main (String[] args) {
System.out.println (p(11.8785));
}
public static double p (double t) {
double result = 0.0;
result += 161995.792;
result += -50786.77046 * t;
result += 5434.711807 * t * t;
result += -162.2158 * t * t * t;
result += -7.5523 * t * t * t * t;
result += 0.2763 * t * t * t * t * t;
result += 0.0168 * t * t * t * t * t * t;
result += 0.0002 * t * t * t * t * t * t * t;
result += - 0.0001 * t * t * t * t * t * t * t * t;
return result;
}
}
% javac Femr2.java
% java Femr2
-17109.923384361115





Still showing your colours.Code:% cat Femr2.java public class Femr2 { public static void main (String[] args) { System.out.println (p(11.8785)); } public static double p (double t) { double result = 0.0; result += 161995.792; result += -50786.77046 * t; result += 5434.711807 * t * t; result += -162.2158 * t * t * t; result += -7.5523 * t * t * t * t; result += 0.2763 * t * t * t * t * t; result += 0.0168 * t * t * t * t * t * t; result += 0.0002 * t * t * t * t * t * t * t; result += - 0.0001 * t * t * t * t * t * t * t * t; return result; } }Code:% javac Femr2.java % java Femr2 -17109.923384361115![]()
the odd source of relish