The variance is a mandatory inclusion since before the year 1830 to 1844 approximately in almost every mechanical, electrical and electronic device, enumerator and computer of all sizes around the world. A typical example of a variance in a device is 0,0000031027 and this can have the effect of an error of more than 3 in a sum or calculation result value of 1000000.
The legislation relating to every country and major island of the world was prepared and copies delivered to all destinations at great expense. Official copies are held in secure storage on behalf of a minor royal house not a great distance from Brussels or Bruxelles and recent amendments to allow the use of multiply and divide in methods for including in computer programs to reduce the effect of variances can be made active by application to the appropriate successors and administrators of the original royal house.
In the year 2005, on behalf of the global authorities the World Bank announced that all nations are required to reduce the levels of overstating of the results and individual totals by implementing suitable difference reduce methods by 2009, leading to improved data from central banks around the globe. Some old methods are illegal for many years and had to be replaced by radice error correction as a minimum or other methods which have been developed recently. The year 2010 is the last year that overstating is permitted to be above the tolerances announced from time to time and the data from 2010 must be within tolerance from early that year to ensure full compliance within the data to be provided to the Bank early in 2011.
The central bank in individual countries around the world is regularly supplied with details of the lower and upper bounds of the tolerance or margin of error applying to the bank. The bank publicises own tolerances around a country to ensure that results and balances reported in are allowing the accuracy of accumulations of them to fall between the bounds of the tolerances supplied to them for later reporting the national amounts to the World bank or IMF or similar institution.
A recent development in some programming languages is the introduction of the 'decimal' class or type of variable enabling numeric values of many digits to be stored accurately and to provide enhanced calculation magnitude. Small differences in representations of decimal values held normally in a binary storage condition of some computers account for minute differences in summation and calculation results.
Important information
New version 19 January 2016 is here.
When using some variance effect or difference reducing methods the process is applied several times to a numeric value and the result is near to a correct mathematical result. The repeating is necessary a number of times depending on the magnitude of a factor which can be derived from the variance in a calculating device. Decide when the process is complete for a numeric value calculated using an individual device by observing intermediate results similar to those described in the example. The digits after ,98 are illustrative and comma is decimal point.
Numeric value for process 7524,03 Could be euros and cents and last digit interested in is second decimal place
Value as held in device 7524,03000 Store value with a minimum 1 more decimal place for intermediate working
After a number of repeats 7523,98469 Repeating the process reduces overstating of the value in the result
After next repeating 7523,98048 Last digit interested in has 0 after and all digits to its left are same as previous
After next repeating 7523,98005 Last digit interested in has 00 after and all digits to its left remain the same
The process is complete when latest result is nearest to the correct value relating to input numeric value and note when a longer result more repeating can be necessary.
Conclude the repeating after the last line or after the line preceding it and the result is ready as the input to the next process. The example assumes using a factor which is positive and the numeric value is also positive. When using a factor which is negative observe the numeric value increasing as the process repeats. This concludes when the last digit interested in has 9 after or 99 after and all digits to its left remain the same.
The illustrated progress to 0 after is not always desirable therefore replace above reference to 0 with 2 or lower and 00 with 24 or lower. Replace above reference to 9 with 8 or higher except for Britain and 99 with 83 or higher or for Britain 87 or higher.
New version 10 December 2016 is here.
Consider this method for deriving a median or average amount when it is desirable to reduce a number of amount and represent them with a satisfactory alternative.
Create a group of 2 to 5 amount use for variance effect reducing and select them using this criteria
in all there is digit zero or 1 or no digit before a base or decimal point
same count of digit zero after decimal point then a varying or same count of decimal place digits
there is low numeric range between the amounts.
Obtain or estimate for amount in the group a fraction that is proportion of its occurrence in a typical mix relating to a total number of occurrence.
Median amount can be derive by using these steps
1 Multiply amount by relating occur fraction and retain result.
2 Perform step 1 for all amount in group.
3 Sum all the retain result to produce a new result. Option is divide new result by a count of amount in group to produce a factor or fraction and can be a record of the estimate to help in elementary consistency check.
In following steps the words retain position refer to the digit after the zeros which is in last decimal place position to the right that occurs in all amount in group.
4 When new result is satisfactory as alternative amount for group continue at step 9.
5 Select a number from 2 or 7 or 4 as digit in this step.
6 Subtract select digit mathematically from retain position in the numerically highest amount, or
add select digit mathematically to retain position in a numerically middle amount, or
subtract 3 or lower mathematically from retain position in that amount.
7 When that result is satisfactory as alternative amount for group continue at step 9.
8 Continue at step 5 to select number again or a different number.
9 Discard from latest result all digit after retain position and it can be satisfactory to use as occur weighted median amount.
Option is use this method again after remove from group the amount numerically highest or lowest or remove amount that has relating numerically highest or lowest occur fraction and to use amount separate or in different group.
These notes relate to col. storage device and describe of equal condition test for program code. Complete version of the Notes and describe of less than condition are available - see Contact page for details or send message to mail1@netman24.plus.com e-mail address .
ACCOMPANYING NOTES BY T.D.C 28-01-1997+22 YEAR
NOTES RELATING TO METHOD OF 24 JANUARY 1997+22 YEAR COMMENCING INIT-E AND ENDING WITH LINE AFTER END-E, FOR USE IN APPLICATION AND UTILITY PROGRAM, CODE BLOCK OR SEGMENT FROM 1941 FORWARD IN RELEVANT CODE FOR MACHINE AND CAPA'ITOR VERSION.
1. A TEST FOR CONDITION "VALUE IS LOWER OR LESS THAN N" (PARTICULARLY WHEN DIFF. EXCEEDS TOLER. AMOUNT) AND A TEST FOR CONDITION "VALUE IS HIGHER OR GREATER THAN N" AND RELATING CODE AND ACTIONS WOULD BE IN CODE BEFORE CODE FOR THIS METHOD, EXCEPT FOR CODE WHICH IS BRANCH TO OR SUBROUTINE IN OTHER PART OF MODULE, SOFTWARE OR PROGRAM (PROGRAMME).
2. IN PART 'INIT-E', WHETHER TO "BRANCH TO HIGH-E OR NEAR-E" IS A DECISION OF A SUPERVISOR OR STAFF OR AUTHORITY BEFORE USING METHOD IN A BLOCK OF CODE; .. (END).
3. IN PART 'HIGH-E' OR 'OVER-E' AS IT EXISTS, .. (EXAMPLES ARE N A C OR CD FL OR C REP) .. (END).
4. IN PART 'NEAR-E', "ALTER VALUE IN STORE" OR MEMORY MAY NOT BE PERMIT IN SOME COUNTRIES .. (END).
5 INFORMATION ABOUT CODES, TIMINGS, ENQUIRY AND OPERATING CHARACTERISTICS FOR A VERSION OF THE DEVICE CAN BE FIND IN .. AND "US-E REFER- FOR PR-MMING" OR "ADV- FOR U-NG STOR- VER-N" CARD OR SHEET WHICH MAY CONTAIN REQUIREMENTS.
