Manuals/calci/LUCAS - Revision history

Devika at 22:26, 25 June 2018

2018-06-25T22:26:20Z

2018-06-25T22:24:45Z

2017-07-20T22:38:56Z

Description

2017-07-20T22:37:56Z

2017-07-20T22:32:36Z

2017-03-13T11:15:32Z

2015-06-30T20:11:16Z

2015-05-14T18:41:14Z

2015-05-14T18:38:04Z

2014-02-05T05:55:20Z

References

@@ Line 20: / Line 20: @@
 <math> F_n=\frac{L_{n-1}+L_{n+1}}{5}</math>
 where <math>L</math> is the Lucas series with <math> L_n</math> is the <math>n^{th}</math> Lucas number and <math> F_n </math> is the <math>n^{th}</math> Fibonacci number.
-     This function will, give the result as error when  <math>n</math> is non-numeric or n < 0
+     This function will, give the result as error when  <math>NumberUpto</math> is non-numeric or NumberUpto < 0
 ==Examples==

@@ Line 1: / Line 1: @@
-<div style="font-size:30px">'''LUCAS(n)'''</div><br/>
+<div style="font-size:30px">'''LUCAS (NumberUpto)'''</div><br/>
-*<math>n </math> is the number indicating the position.
+*<math>NumberUpto</math> is the number indicating the position.
 ==Description==
@@ Line 6: / Line 7: @@
 *Lucas numbers are similar to the Fibonacci numbers.
 *It is generated by added the last two numbers in the series.
-*In <math>LUCAS(n)</math>, <math>n</math> is the numbers position, which is used to displaying the numbers in the given range.
+*In <math>LUCAS(NumberUpto)</math>, <math>NumberUpto</math> is the numbers position, which is used to displaying the numbers in the given range.
 *The difference between Lucas and Fibonacci numbers are with the first two terms <math>L_0=2</math> and <math>L_1=1 </math>, but <math>F_0=0</math> and <math>F_1=1</math>.
 *The Lucas numbers  are defined by:

@@ Line 9: / Line 9: @@
 *The difference between Lucas and Fibonacci numbers are with the first two terms <math>L_0=2</math> and <math>L_1=1 </math>, but <math>F_0=0</math> and <math>F_1=1</math>.
 *The Lucas numbers  are defined by:
-<math>L_n=\begin{Bmatrix}  2  & if   n=0 \\
+<math>L_n=\begin{Bmatrix}  2  & if &  n=0 \\
-           &if  n=1 \\
+           &if &  n=1 \\
-            L_{n-1}+L_{n-2}   &if  n>1
+            L_{n-1}+L_{n-2}   &if & n>1
            \end{Bmatrix}</math>
 *The sequence of Lucas numbers is  2,1,3,4,7,11,18,29....

@@ Line 9: / Line 9: @@
 *The difference between Lucas and Fibonacci numbers are with the first two terms <math>L_0=2</math> and <math>L_1=1 </math>, but <math>F_0=0</math> and <math>F_1=1</math>.
 *The Lucas numbers  are defined by:
-<math>L_n=\begin{cases}  2  &if  &n=0 \\
+<math>L_n=\begin{Bmatrix}  2  & if   n=0 \\
-           &if  &n=1 \\
+           &if  n=1 \\
-            L_{n-1}+L_{n-2}   &if  &n>1
+            L_{n-1}+L_{n-2}   &if  n>1
-           \end{cases}</math>
+           \end{Bmatrix}</math>
 *The sequence of Lucas numbers is  2,1,3,4,7,11,18,29....
 *The relation between Lucas and Fibonacci numbers are:

@@ Line 8: / Line 8: @@
 *In <math>LUCAS(n)</math>, <math>n</math> is the numbers position, which is used to displaying the numbers in the given range.
 *The difference between Lucas and Fibonacci numbers are with the first two terms <math>L_0=2</math> and <math>L_1=1 </math>, but <math>F_0=0</math> and <math>F_1=1</math>.
-*The Lucas numbers  are defined by: <math>L_n=\begin{cases}  2           &if  &n=0 \\
+*The Lucas numbers  are defined by:
-           &if  &n=1 \\
+<math>L_n=\begin{cases}  2  &if  &n=0 \\
-                                                            L_{n-1}+L_{n-2}   &if  &n>1
+           &if  &n=1 \\
-                                              \end{cases}</math>
+           L_{n-1}+L_{n-2}   &if  &n>1
+          \end{cases}</math>
 *The sequence of Lucas numbers is  2,1,3,4,7,11,18,29....
 *The relation between Lucas and Fibonacci numbers are:

← Older revision		Revision as of 11:15, 13 March 2017
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	==References==		==References==
	[http://en.wikipedia.org/wiki/Lucas_number LUCAS]		[http://en.wikipedia.org/wiki/Lucas_number LUCAS]
		+
		+
		+
		+
		+	*[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	*[[ Z3 \| Z3 home ]]

@@ Line 27: / Line 27: @@
 #=LUCAS(3) = 2   1    3    4
 #=LUCAS(-1) = Null
 ==See Also==

@@ Line 29: / Line 29: @@
 ==See Also==
-*[[Manuals/calci/FIBONACCI| FIBONACCI]]
+*[[Manuals/calci/FIBONNACI| FIBONNACI]]
 *[[Manuals/calci/PASCAL| PASCAL]]
 *[[Manuals/calci/FOURIERANALYSIS| FOURIERANALYSIS]]

← Older revision		Revision as of 05:55, 5 February 2014
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	==References==		==References==
		+	[http://en.wikipedia.org/wiki/Lucas_number LUCAS]