SEE AND LEARN VEDIC SUTRA / SUTRAS 5, 6, 7, 8 & 9 //////////////////////////////////////////////////////////////////////////// (5) SEE AND LEARN VEDIC SUTRA / SUTRAS ****************************** MULTIPLY DIAGONAL POSITION 11 x EACH COLUMN NUMBER ****************************** 2 TIMES COLUMN NUMBER (LEFT TO RIGHT MERGED) IS ANSWER THESE ARE ALO DIAGONAL POSITION NUMBERS. VEDIC 2D SQUARE MATRIX 0...9 DIAGONAL 11-STEPS *************************************** ...0.......1......2......3.......4.......5......6.......7.......8.......9 x 00- ------ ------ ------ ------ ------ ------ ------ ------ ------ 0..........|../ ------ x 11- ------ ------ ------ ------ ------ ------ ------ ------ 1 ------ ------ x 22- ------ ------ ------ ------ ------ ------ ------ 2 ------ ------ ------ x 33- ------ ------ ------ ------ ------ ------ 3 ------ ------ ------ ------ x 44- ------ ------ ------ ------ ------ 4 ------ ------ ------ ------ ------ x 55- ------ ------ ------ ------ 5. ------ ------ ------ ------ ------ ------ x 66- ------ ------ ------ 6 ------ ------ ------ ------ ------ ------ ------ x 77- ------ ------ 7 ------ ------ ------ ------ ------ ------ ------ ------ x 88- ------ 8 ------ ------ ------ ------ ------ ------ ------ ------ ------ x 99- 9 VEDIC 2D SQUARE MATRIX 00...99 DIAGONAL 0101-STEPS ****************************************** ...00....01.....02.....03.....04.....95.....96.....97.....98.....99 0000 ------ ------ ------ ------ ------ ------ ------ ------ ------ 0.........|../ ------ 0101 ------ ------ ------ ------ ------ ------ ------ ------ 01 ------ ------ 0202 ------ ------ ------ ------ ------ ------ ------ 02 ------ ------ ------ 0303 ------ ------ ------ ------ ------ ------ 03 ------ ------ ------ ------ 0404 ------ ------ ------ ------ ------ 04 ------ ------ ------ ------ ------ 9595 ------ ------ ------ ------ 95 ------ ------ ------ ------ ------ ------ 9696 ------ ------ ------ 96 ------ ------ ------ ------ ------ ------ ------ 9797 ------ ------ 97 ------ ------ ------ ------ ------ ------ ------ ------ 9898 ------ 98 ------ ------ ------ ------ ------ ------ ------ ------ ------ 9999 99 MULTIPLY DIAGONAL POSITION 09 x EACH COLUMN NUMBER ****************************** WRTE COLUMN NUMBER AS RIGHT END DIGIT THEN SUBTRACT IT FROM 9, WHICH YOU MAY WRITE AS LEFT SIDE DIGIT OF ANSWER. (SEE A CASE OF 18) 1+8= 9 AND 18 HAS A FACTOR 9. OTHER FACTOR IS (1+1), WHICH IS 2. YOU WILL ALSO FIND RELATED VEDIC SUTRA/ SUTRAS ALL FROM 9, BY 1 MORE ETC. PLEASE STUDY IT SEPARATELY BUT ALONG WITH THESE VISUAL LESSONS. ...0......1.......2......3.......4.......5......6.......7.......8.......9 x 00- ------ ------ ------ ------ ------ ------ ------ ------ x 09- 0.....................................................................| ------ ------ ------ ------ ------ ------ ------ ------ x18- ------ 1 ------ ------ ------ ------ ------ ------ ------ x27- ------ ------ 2 ------ ------ ------ ------ ------ ------ x36- ------ ------ ------ 3 ------ ------ ------ ------ ------ x45- ------ ------ ------ ------ 4 ------ ------ ------ ------ x54- ------ ------ ------ ------ ------ 5. ------ ------ ------ x63- ------ ------ ------ ------ ------ ------ 6 ------ ------ x72- ------ ------ ------ ------ ------ ------ ------ 7 ------ x81- ------ ------ ------ ------ ------ ------ ------ ------ 8 x90- ------ ------ ------ ------ ------ ------ ------ ------ ------ 9 MULTIPLY DIAGONAL POSITION 00...99x EACH COLUMN NUMBER ****************************** WRTE COLUMN NUMBER AS RIGHT END DIGITS THEN SUBTRACT IT FROM 99. THIS ANSWER YOU MAY WRITE AS EQUALLEFT SIDE DIGITS OF AN ANSWER.(SEE A CASE OF 0198) 01+98= 99 AND 0198 HAS A FACTOR 99 AND OTHER FACTOR IS (01+1), WHICH IS 2. YOU WILL ALSO FIND RELATED VEDIC SUTRA/ SUTRAS ALL FROM 9, BY 1 MORE ETC. PLEASE STUDY THESE SEPARATELY BUT ALONG WITH THESE VISUAL LESSONS. ..00....01......02....03.....04.....95......96.....97.....98.....99 0000 ------ ------ ------ ------ ------ ------ ------ ------ 0099 00....................................................................| ------ ------ ------ ------ ------ ------ ------ ------ 0198 ------ 01 ------ ------ ------ ------ ------ ------ ------ 0297 ------ ------ 02 ------ ------ ------ ------ ------ ------ 0396 ------ ------ ------ 03 ------ ------ ------ ------ ------ 0495 ------ ------ ------ ------ 04 ------ ------ ------ ------ 9504 ------ ------ ------ ------ ------ 95. ------ ------ ------ 9603 ------ ------ ------ ------ ------ ------ 96 ------ ------ 9702 ------ ------ ------ ------ ------ ------ ------ 97 ------ 9801 ------ ------ ------ ------ ------ ------ ------ ------ 98 9900 ------ ------ ------ ------ ------ ------ ------ ------ ------ 99 A HUMAN MIND ALWAYS SEARCH AN EASIEST PATH TO SOLVE A PROBLEM. IF YOU EVER SUCCEED TO OUTWIT ANCIENT INDIAN THINKERS TO MENTAL COMPUTE CLAIM IT AS YOUR OWN INVENTION. IT WILL BE A GREAT ASSET TO HUMAN RACE! NEVER MISUNDERSTAND ABILITY OF A COMPUTER. COMPUTER DO THINGS ACCURATELY AT UNIMAGINABLE SPEED. IF A HUMAN MIND FAILS TO BALANCE SKILL OF A COMPUTERS DO-ABILITY NO SUCCESSFUL HUMAN-COMPUTER INTERACTION WILL WORK. PEOPLE ARE NO MORE MASTERS UNLESS THEY THINK FAR SUPERIOR TO A ANY GENERATION COMPUTER. WE ARE LEARNING NOW HOW ANCIENT INDIANS DID THIS THOUSANDS OF YEARS AGO (WITHOUT A COMPUTER). 1-DIMENSIONAL, 2-DIMENSIONAL, 3-DIMENSIONAL OR n -DIMENSIONAL THINKING IS HUMAN ABILITY. WITHOUT A SIMPLE AND STRAIGHTFORWARD NUMBER APPLICATION/ MATRIX BY MATRIX NUMBER APPLICATION EVEN A 3-DIMENSIONAL NUMBER APPLICATION MAKE YOU FEEL THAT HELL. SO LET US FORGET n -DIMENSIONAL NUMBER APPLICATION BASICS NOW. I LEAVE IT TO YOU. SOME BASICS OF INFINITE SMALL NUMBER GROUP MERGING AND RELATED ANSWERS I HAVE ALREADY EXPLAINED UNDER A TOPIC MENTAL-SPEED COMPUTING! WE SHALL SEE AN IDENTICALTO ABOVE EXPLAINED 2 D NUMBER APPLICATION AS 3- DIMENSIONAL IN MY NEXT BLOG. ////////////////////////////////////////////////////////////////////// 6) SEE AND LEARN VEDIC SUTRA / SUTRAS ****************************** MULTIPLY 3 D DIAGONAL POSITION 111 x EACH ROW NUMBER OR COLUMN NUMBER 0...9 ****************************** A ZERO-START VEDIC 3D CUBE MATRIX 0...9 IS GIVEN BELOW. A VEISIBLE LAYER-0 HAS EQUAL 10 ROW POSITIONS AND COLUMN POSITIONS (0...9 SHOWN) IN A 3D CUBE MATRIX. THIS MATRIX ALSO HAS 10 EQUAL Z-LAYERS (0...9) LAYER-0 IS VISIBLE TOP FACE OF CUBE AND REMAINING 9 Z-LAYERS ARE EXACTLY SAME ASLAYER-0(BUT EACH RELATED LAYER NUMBER DIFFERS. Z-LAYERS LAY AT EQUAL SPACE 1 IN BETWEEN ANY TWO NEAR-LAYERS STARTING 0. 3D POSITIONS 000, 111, 222, 333, 444, 555, 666, 777, 888 & 999 ARE SHOWN IN 3D CUBE MATRIX BELOW. EACH POSITION IS A MERGED LAYER-Z, ROW-Y AND COLUMN-X NUMBER. MATRIX POSITION NUMBERS SHOWN BELOW (000...999) HAVE A CONSTANT INCREMENT 111. LET US GIVE THIS A NAME MATRIX DIAGONAL 111 POSITIONS. YOU MAY ALSO CONSIDER AN EQUALLY GOOD NAME MATRIX DIAGONAL 000 POSITIONS. YOU WILL FIND THAT DIFFERECES BETWEEN 100 TH AND 10 TH POSITION NUMBERS IS ZERO IN ALL (000...999). SIMILARLY A 10 TH AND 1 ST POSITION IS 0 A DIFFERENCE OF 1 ST AND 100 TH POSITION IS ALSO 0. A VEDIC SUTRA SHSOONYAM ANYAT (DIFFERENCE IS ZERO) REVEALS THIS 0 ASPECT OF DIAGONAL POSITIONS IN 2D AND 3D. SO WE CAN NAME THESE 3D DIAGONAL POSITIONS ALSO AS DIFFERENCE IS 0. THIS APPLIES TO EACH 3D CUBE MATRIX DIAGONAL POSITIONS.SHOWN. MATRIX DIAGONAL 111 POSITIONS AND/OR MATRIX DIAGONAL 000 POSITIONS. ARE EQUALLY GOOD AND SENSIBLE NAMES. WHAT SENSE IT MAKES TO YOU IS IMPORTANT. A VISUAL LEARNING TOGETHER WITH A RELATED VEDIC SUTRA/SUTRAS IS THEREFORE VERY IMPORTANT. LET US SEE 3D POSITION 111. ROW AND COLUMN NUMBERS OF 111 ARE RELATED BY RELATED LEADERS. 111 HAS A Z- LAYER NUMBER 1 TOO, WHICH IS HIDDEN. ANOTHER LEADER BETWEEN 1xx AND Z- LAYER NUMBER EXIST. THIS EACH LEARNER SHALL SEE IN OWN MIND. HOW TO SEE A HIDDEN THING? EACH Z LAYER NUMBER 000, 111, 222...888, 999 HAS Z-LAYERS THAT INCREASES BY 1. NOW WE CAN IMAGINE GEOMETRY OF THIS DIAGONAL. 000 IS LEFT-TOP FAR CORNER OF CUBE SPACE 10X10X10 999 IS RIGHT BOTTOM NEAR CORNER OF A CUBE SPACE 9X9X9. IT MEANS COMPLETELY WITHIN A CUBE 9X9X9 LAY 1000 CUBE ORIGINS (EACCH SMALL CUBE ORIGIN IS A ZYX-MERGED NUMBER) HOWEVER 1000 CUBES OCCUPIES A SPACE 10X10X10. THIS RATION BETWEEN 9 AND 10 WE HAVE TO LEARN CAREFULLY. ONE WHO IGNORES THIS FACT WILL NOT UNDERSTAND VEDIC MATHEMATICS. WE HAD GREAT MATHEMATICIANS IN PAST WHO THOUGHT ZERO FILL A NULL PLACE VALUE AND NO FURTHER! ...0.......1.....2......3.......4.......5......6.......7......8.......9 000 ------ ------ ------ ------ ------ ------ ------ ------ ------ 0..........| ------ 111 ------ ------ ------ ------ ------ ------ ------ ------ 1........^ ------ ------ 222 ------ ------ ------ ------ ------ ------ ------ 2 ------ ------ ------ 333 ------ ------ ------ ------ ------ ------ 3 ------ ------ ------ ------ 444 ------ ------ ------ ------ ------ 4 ------ ------ ------ ------ ------ 555 ------ ------ ------ ------ 5 ------ ------ ------ ------ ------ ------ 666 ------ ------ ------ 6 ------ ------ ------ ------ ------ ------ ------ 777 ------ ------ 7 ------ ------ ------ ------ ------ ------ ------ ------ 888 ------ 8 ------ ------ ------ ------ ------ ------ ------ ------ ------ 999 9 ********************************************* ********************************************* MULTIPLY 3 D DIAGONAL POSITION 009 X EACH MERGED ROW AND NUMBER 0...9 ****************************** IN A 3D CUBE MATRIX 0...9 GIVEN BELOW WE HAVE YET ANOTHER 3D- DIAGONAL POSITIONS. EACH POSITION STARTING 009 AND INCREASES BY A (100+9). Z- LAYER NUMBERS OF EACH DIAGONAL POSITION SHOWN INCREASES TOWARDS LEFT BOTTOM CORNER OF MATRIX AS 9, 8, 7.........2, 1, 0. EACH ONE OF RELATED SARE 2 DIGITS ARE 00, 11, 22... 77, 88, 99 ARE MERGED. RIGHT MOST DIGITS OF EACH NUMBER DECREASES AS 9...0 VEDIC SUTRA/ SUTRAS ALL FROM 9, BY 1 MORE ETC. USE RULES LIKE THESE BY OBSERVATION? ...0.......1......2......3.......4.......5......6.......7.......8.......9 ------ ------ ------ ------ ------ ------ ------ ------ ------ x009 0 ------ ------ ------ ------ ------ ------ ------ ------ x118 ------ 1 ------ ------ ------ ------ ------ ------ ------ x227 ------ ------ 2 ------ ------ ------ ------ ------ ------ x336 ------ ------ ------ 3 ------ ------ ------ ------ ------ x445 ------ ------ ------ ------ 4 ------ ------ ------ ------ x554 ------ ------ ------ ------ ------ 5 ------ ------ ------ x663 ------ ------ ------ ------ ------ ------ 6 ------ ------ x772 ------ ------ ------ ------ ------ ------ ------ 7 ------ x881 ------ ------ ------ ------ ------ ------ ------ ------ 8 x990 ------ ------ ------ ------ ------ ------ ------ ------ ------ 9 I HAVE NOT FOUND A SPECIFIC APPLICATION OF THESE DIAGONAL POSITIONS ALONG WITH A VEDIC SUTRA. I AM ALSO TRYING TO UNDERSTAND MORE VEDIC SUTRAS AND RELATED MATRIX RELATIONS/PROPERTIES /////////////////////////////////////////////////////////////////////////////////////// 7) SEE AND LEARN VEDIC SUTRA / SUTRAS ****************************** RELATION BETWEEN A WELL KNOWN SUTRA END DIGITS SUM IF TEN ALSO AND ANOTHER NOTA WELL KNOWN RELATION SUM (ROW DIGITS + COLUMN DIGITS) IS EITHER 10 OR 100 OR 1000 AND SO ON, ***************************** (2 D POSITION) 10/ (33)^2= 0.00 91 82 73 64 55 46 37 28 19 10 RECURRING GROUP. 10/33^2 IS 10/1089, WHICH FOLLOWS USUAL RULES OF A RECURRING GROUP. USUAL DIFFERENCES OF 2-DIGIT NUMBER GROLPS FROM 00 TO 91 AND ALSO FROM 91 TO 10 IS :9. . LAST DIFFERENCE FROM 10 TO 00 IS INE MORE THAN 9. THESE 2-DIGIT NUMBER GROUPS (EXCEPT 00) HAVE (ROW-DIGIT+ COLUMN-DIGIT) REDUCTION AS 1 10...(1+0) = 1 19...(1+9) = 10 AND (1+0)= 1, WHICH IS REDUCTION TO 1 ...0......1.......2......3.......4.......5......6.......7.......8.......9 x 00- ------ ------ ------ ------ ------ ------ ------ ------ ------ 0 x----- ------ ------ ------ ------ ------ ------ ------ ------ x 19- 10 ------ ------ ------ ------ ------ ------ ------ ------ x 28- ------ 2 ------ ------ ------ ------ ------ ------ ------ x 37- ------ ------ 3 ------ ------ ------ ------ ------ ------ x 46- ------ ------ ------ 4 ------ ------ ------ ------ ------ x 55- ------ ------ ------ ------ 5. ------ ------ ------ ------ x 64- ------ ------ ------ ------ ------ 6 ------ ------ ------ x 73- ------ ------ ------ ------ ------ ------ 7 ------ ------ x 82- ------ ------ ------ ------ ------ ------ ------ 8 ------ x91- ------ ------ ------ ------ ------ ------ ------ ------ 9 *********************************************** (3D- POSITION) 10/ (333)^2 = 0 000 901 802 703 604 505 406 307 208 109 010... RECURRING GROUP. 10/333^2 IS 10/110889, WHICH FOLLOWS USUAL RULES OF A RECURRING GROUP. USUAL DIFFERENCES OF 3-DIGIT NUMBER GROLPS FROM 000 TO 901 AND ALSO FROM 901 TO 100 IS 99. A LAST DIFFERENCE FROM 100 TO 000 IS (0NE MORE THAN 99). THESE 3-DIGIT NUMBER GROUPS (EXCEPT 000) HAVE (LAYER- DIGIT+ROW-DIGIT+ COLUMN-DIGIT) REDUCTION AS 1 100...(1+0+0) = 1 199...(1+9+9) = 19 AND (1+9)= 10 AND (1+0)=1, WHICH IS REDUCTION TO 1 298...(2+9+8) = 19 AND (1+9)= 10 AND (1+0)=1, WHICH IS AGAIN REDUCTION TO 1 VEDIC MANNER USE THIS TO CHECK 3-DIGIT NUMBER GROUPS! VEDIC MANNER IS NOT A COMPUTING CULTURE. IT IS PRIMARILY A NUMBER APPLICATION CULTURE (LIKE REDUCTION OF n-DIGITS Z, Y AND X SUM TO A VALUE (AS EXPLAINED IN THIS CASE) A VEDIC 3D CUBE MATRIX 0...9 SHOW A PART OF 10/ (333)^2 RECURRING DIGITS 0 000 901 802 703 604 505 406 307 208 109 010... THESE ARE NOT RANDOM 3D POSITIONS! ...0......1.......2......3.... ..4.......5......6.......7.......8.......9 x000-x901- x802- x703-x604-x505- x406-x307-x208- x109- 0 x010- ------ ------ ------ ------ ------ ------ ------ ------ ------ 1 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 2 ------ ------ ---10/x333^2 ---- ------ ------ ------ ------ ------ 3 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 4 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 5. ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 6 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 7 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 8 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 9 ********************************************** (3D- POSITION) 10/ (33 33 33)^2 = 0 000000 900001 800002 700003 600004 500005 400006 300007 200008 100009... RECURRING GROUP. 10/ 33 33 33^2 IS 10/111110 888889, WHICH FOLLOWS USUAL RULES OF A RECURRING GROUP. USUAL DIFFERENCES OF 6-DIGIT NUMBER GROLPS FROM 00 00 00 TO 90 00 01 AND ALSO FROM 90 00 01 TO 100000 IS 99999. A LAST DIFFERENCE FROM 100000 TO 000000 IS (0NE MORE THAN 99999). THESE 6-DIGIT NUMBER GROUPS (EXCEPT 000000) HAVE (LAYER- DIGIT+ROW-DIGIT+ COLUMN-DIGIT) REDUCTION AS 1 100000...(1+0+0+0+0+0) = 1 199999...(1+9+9+9+9+9) = 46 AND (4+6)= 10 AND (1+0)=1, WHICH IS REDUCTION TO 1 299998...(2+9+9+9+9+8) = 46 AND (4+6)= 10 AND (1+0)=1, WHICH IS AGAIN REDUCTION TO 1 VEDIC MANNER USE THIS PROPERTY TO CHECK n-DIGIT NUMBER GROUPS! VEDIC MANNER IS NOT A COMPUTING CULTURE. IT IS PRIMARILY A NUMBER APPLICATION CULTURE (LIKE REDUCTION OF n-DIGITS Z, Y AND X SUM AS A LEAST VALUE (AS EXPLAINED) A VEDIC 3D CUBE MATRIX 00...99 SHOW 10/ (33 33 33)^2 RECURRING 0. 000000 900001 800002 700003 600004 500005 400006 300007 200008 100009...THESE ARE NOT RANDOM 3D POSITIONS! A 3D CUBE HASLAYER ROW AND COLUMN NUMBERS 00...99 EACH AND RELATED MERGED ZYX NUMBERS ARE 6 DIGITS (A MILLION). A 3D CUBE MATRIX 0..9 POSITION INCREASE ORDER AND MATRIX 00...99 POSITION ARE IDENTICAL. PLEASE SEE AND APPLY MATRIX 0...9 POSITION WORKING IN 3D CUBE MATRIX 00...99 POSITIONS. IT IS LOGICAL NUMBER APPLICATION PLEASE DONT TRY TO DO THIS MANNER ALWAYS. THERE ARE SEVERAL RECURRING NUMBER GROUPS (IN THIS 3D CUBE MATRIX) 00...99 NEAR TO 1 MILLION DIGITS. ..00.....01.....XX.....33....04.....95......96.....97.....98.....99 x 00- ------ ------ ------ ------ ------ ------ ------ ------ ------ 00 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 01 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ XX ------ ------ ------ x----- ------ ------ ------ ------ ------ ------ 33.................10/(33 33 33)^2 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 49 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 95. ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 96 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 97 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 98 ------ ------ ------ ------ ------ ------ ------ ------ ------ ------ 99 /////////////////////////////////////////////////////////////////////// 8) SEE AND LEARN VEDIC SUTRA / SUTRAS ****************************** MULTIPLY BY (ROW DIGITS + COLUMN DIGITS) IS EITHER 10 OR 100 OR 1000 AND SO ON, (ROW DIGITS + COLUMN DIGITS) = 10 POSITIONS ARE SHOWN BY ...0......1.......2......3.......4.......5......6.......7.......8.......9
Posted on: Fri, 07 Mar 2014 11:28:40 +0000
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