Numerical Tables - Revision history

173.57.58.83: /* Exponential Tables */

2009-06-05T19:08:16Z

Exponential Tables

← Older revision		Revision as of 19:08, 5 June 2009
Line 164:		Line 164:
	\| +3 \|\| - \|\| x10 \|\| -		\| +3 \|\| - \|\| x10 \|\| -
	\|-		\|-
	\| +6 \|\| - \|\| x100 \|\| x10		\| +6 \|\| x8 \|\| x100 \|\| x10
	\|}		\|}

MagiMaster: /* Exponential Tables */

2008-07-23T20:53:28Z

Exponential Tables

← Older revision		Revision as of 20:53, 23 July 2008
Line 116:		Line 116:

	{\| border="1" style="text-align:center"		{\| border="1" style="text-align:center"
	! Linear !! 2<sup>1/2</sup> !! 10<sup>1/3</sup>		! Linear !! 2<sup>1/2</sup> !! 10<sup>1/3</sup> !! 10<sup>1/6</sup>
	\|-		\|-
	\| style="width:80px"\|0 \|\| style="width:80px"\|1 \|\| style="width:80px"\|1		\| style="width:80px"\|0 \|\| style="width:80px"\|1 \|\| style="width:80px"\|1 \|\| style="width:80px"\|1
	\|-		\|-
	\| 1 \|\| 1.5 \|\| 2		\| 1 \|\| 1.5 \|\| 2 \|\| 1.5
	\|-		\|-
	\| 2 \|\| 2 \|\| 5		\| 2 \|\| 2 \|\| 5 \|\| 2
	\|-		\|-
	\| 3 \|\| 3 \|\| 10		\| 3 \|\| 3 \|\| 10 \|\| 3
	\|-		\|-
	\| 4 \|\| 4 \|\| 20		\| 4 \|\| 4 \|\| 20 \|\| 4.5
	\|-		\|-
	\| 5 \|\| 6 \|\| 50		\| 5 \|\| 6 \|\| 50 \|\| 6.5
	\|-		\|-
	\| 6 \|\| 8 \|\| 100		\| 6 \|\| 8 \|\| 100 \|\| 10
	\|-		\|-
	\| 7 \|\| 12 \|\| 200		\| 7 \|\| 12 \|\| 200 \|\| 15
	\|-		\|-
	\| 8 \|\| 16 \|\| 500		\| 8 \|\| 16 \|\| 500 \|\| 20
	\|-		\|-
	\| 9 \|\| 24 \|\| 1000		\| 9 \|\| 24 \|\| 1000 \|\| 30
	\|-		\|-
	\| 10 \|\| 32 \|\| 2000		\| 10 \|\| 32 \|\| 2000 \|\| 45
	\|-		\|-
	\| 11 \|\| 48 \|\| 5000		\| 11 \|\| 48 \|\| 5000 \|\| 65
	\|-		\|-
	\| 12 \|\| 64 \|\| 10000		\| 12 \|\| 64 \|\| 10000 \|\| 100
	\|-		\|-
	\| 13 \|\| 96 \|\| 20000		\| 13 \|\| 96 \|\| 20000 \|\| 150
	\|-		\|-
	\| 14 \|\| 130 \|\| 50000		\| 14 \|\| 130 \|\| 50000 \|\| 200
	\|-		\|-
	\| 15 \|\| 200 \|\| 100000		\| 15 \|\| 200 \|\| 100000 \|\| 300
	\|-		\|-
	\| 16 \|\| 260 \|\| 200000		\| 16 \|\| 260 \|\| 200000 \|\| 450
	\|-		\|-
	\| 17 \|\| 380 \|\| 500000		\| 17 \|\| 380 \|\| 500000 \|\| 650
	\|-		\|-
	\| 18 \|\| 510 \|\| 1000000		\| 18 \|\| 510 \|\| 1000000 \|\| 1000
	\|-		\|-
	\| 19 \|\| 770 \|\| 2000000		\| 19 \|\| 770 \|\| 2000000 \|\| 1500
	\|-		\|-
	\| 20 \|\| 1000 \|\| 5000000		\| 20 \|\| 1000 \|\| 5000000 \|\| 2000
	\|-		\|-
	\| +2 \|\| x2 \|\| -		\| +2 \|\| x2 \|\| - \|\| -
	\|-		\|-
	\| +3 \|\| - \|\| x10		\| +3 \|\| - \|\| x10 \|\| -
			\|-
			\| +6 \|\| - \|\| x100 \|\| x10
	\|}		\|}

MagiMaster at 20:17, 19 July 2008

2008-07-19T20:17:19Z

@@ Line 116: / Line 116: @@
 {| border="1" style="text-align:center"
-! Linear !! 2<sup>1/2</sup> !! x<sup>3/2</sup> !! x<sup>2</sup> !! x<sup>5/2</sup> !! x<sup>3</sup> !! x<sup>4</sup>
+! Linear !! 2<sup>1/2</sup> !! 10<sup>1/3</sup>
 |-
-| 0 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1
+| style="width:80px"|0 || style="width:80px"|1 || style="width:80px"|1
 |-

MagiMaster at 04:35, 19 July 2008

2008-07-19T04:35:08Z

New page

These tables should make approximating certain numerical formulas easier. Note that all of the numbers given are rounded to two significant digits. If higher accuracy is needed, find a calculator.

An example of this would be calculating an average weigth in pounds for a human, given their height. First, measure how tall they are in increments of 9 inches (divide their height in inches by 9); so for someone 6 feet tall, they would start with 8 (72/9). Find this in the Linear column in the polynomial table. Look across to the x5/2 column. This is a rough average weight for that height (180 in this case). If the height is between two numbers, the weight will be between those two entries in the x5/2 column.

The polynomial table may me useful sometimes, but the exponential table can be useful in many more situations. For example, it can be used to multiply without actually doing the multiplication.

== Polynomial Table ==
{| border="1" style="text-align:center"
! Linear !! x1/2 !! x3/2 !! x2 !! x5/2 !! x3
! Linear !! x1/2 !! x3/2 !! x2 !! x5/2 !! x3
|-
! style="width:80px"|1
| style="width:80px"|1 || style="width:80px"|1 || style="width:80px"|1 || style="width:80px"|1 || style="width:80px"|1
! style="width:80px"|11
| style="width:80px"|3.3 || style="width:80px"|36 || style="width:80px"|120 || style="width:80px"|400 || style="width:80px"|1300
|-
! 1.5
| 1.2 || 1.8 || 2.3 || 2.8 || 3.4
! 11.5
| 3.4 || 39 || 130 || 450 || 1500
|-
! 2
| 1.4 || 2.8 || 4 || 5.7 || 8
! 12
| 3.5 || 42 || 140 || 500 || 1700
|-
! 2.5
| 1.6 || 4 || 6.3 || 9.9 || 16
! 12.5
| 3.5 || 44 || 160 || 550 || 2000
|-
! 3
| 1.7 || 5.2 || 9 || 16 || 27
! 13
| 3.6 || 47 || 170 || 610 || 2200
|-
! 3.5
| 1.9 || 6.5 || 12 || 23 || 43
! 13.5
| 3.7 || 50 || 180 || 670 || 2500
|-
! 4
| 2 || 8 || 16 || 32 || 64
! 14
| 3.7 || 52 || 200 || 730 || 2700
|-
! 4.5
| 2.1 || 9.5 || 20 || 43 || 91
! 14.5
| 3.8 || 55 || 210 || 800 || 3000
|-
! 5
| 2.2 || 11 || 25 || 56 || 130
! 15
| 3.9 || 58 || 230 || 870 || 3400
|-
! 5.5
| 2.3 || 13 || 30 || 71 || 170
! 15.5
| 3.9 || 61 || 240 || 950 || 3700
|-
! 6
| 2.4 || 15 || 36 || 88 || 220
! 16
| 4 || 64 || 260 || 1000 || 4100
|-
! 6.5
| 2.5 || 17 || 42 || 110 || 270
! 16.5
| 4.1 || 67 || 270 || 1100 || 4500
|-
! 7
| 2.6 || 19 || 49 || 130 || 340
! 17
| 4.1 || 70 || 290 || 1200 || 4900
|-
! 7.5
| 2.7 || 21 || 56 || 150 || 420
! 17.5
| 4.2 || 73 || 310 || 1300 || 5400
|-
! 8
| 2.8 || 23 || 64 || 180 || 510
! 18
| 4.2 || 76 || 320 || 1400 || 5800
|-
! 8.5
| 2.9 || 25 || 72 || 210 || 610
! 18.5
| 4.3 || 80 || 340 || 1500 || 6300
|-
! 9
| 3 || 27 || 81 || 240 || 730
! 19
| 4.4 || 83 || 360 || 1600 || 6900
|-
! 9.5
| 3.1 || 29 || 90 || 280 || 860
! 19.5
| 4.4 || 86 || 380 || 1700 || 7400
|-
! 10
| 3.2 || 32 || 100 || 320 || 1000
! 20
| 4.5 || 89 || 400 || 1800 || 8000
|-
! 10.5
| 3.2 || 34 || 110 || 360 || 1200
! 20.5
| 4.5 || 93 || 420 || 1900 || 8600
|}

For numbers past the end of the table, simply multiply two numbers in the Linear column and multiply the corresponding numbers in one of the other columns. For example, 30 = 5*6, so 303/2 is approximately 11*15 = 165.

== Exponential Tables ==

{| border="1" style="text-align:center"
! Linear !! 21/2 !! x3/2 !! x2 !! x5/2 !! x3 !! x4
|-
| 0 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1 || style="width:100px"|1
|-