. एकदा गणित विषयातील एक ते शंभर
अंकांनी सभा आयोजित करण्याचं ठरवलं.
सर्वानाच आग्रहाची निमंत्रणं पाठवली गेली.
फक्त शून्यास या सभेत बोलावू नये, असं
काहींनी सुचवलं. सभेचं अध्यक्षस्थान शंभर
या आकडय़ानं भूषवावं, असं सर्वानुमते ठरवण्यात
आलं. प्रत्येकानं आपलं गणित विषयातलं महत्त्व व
प्रत्यक्ष व्यवहारातील स्थान रेखांकित करावं, हे
या सभेचं मुख्य प्रयोजन होतं.
अध्यक्ष असलेल्या शंभर अंकास
शून्याची अनुपस्थिती जाणवली. त्यानं
आयोजकास
शून्याच्या गैरहजेरीविषयी विचारणा केली.
''अध्यक्ष महाशय, एकटय़ा शून्यास बाजारात
कोण विचारील? एखाद्या दुकानदाराकडून
एखादी वस्तू विकत घ्यायची असेल तर शून्य पैसे
आणले आहेत असं सांगून कसं चालेल? बरं, शून्य
खिशात कसा ठेवणार? त्याचं अस्तित्व नगण्य आहे
म्हणून त्याला बोलावलं नाही.'
सभेच्या आयोजकानं प्रतिवाद केला.
'अध्यक्ष महाशय, शून्य हा नेहमी कुंपणावर
बसलेला असतो. धड ना इकडे ना तिकडे.
त्याला बोलावून काय साध्य होणार आहे?'
सभेच्या दुसऱ्या आयोजकानं दुजोरा देत म्हटलं.
शंभर अंकाला मात्र दोघांनी केलेला प्रतिवाद
मुळीच रुचला नाही. कारण त्याच्या किमतीत दोन
शून्य त्याला साथ देत होते. आणि म्हणूनच
व्यवहारात त्याला भाव होता. त्यानं दहा ते
नव्वद दशकांना विचारलं, 'बाबांनो, आपल्यातील
शून्य काढून टाकला तर आपली किंमत काय
राहील? शिवाय शून्यानं कुंपणावरून डावीकडे
उडी मारली तर आपली किंमत दशांशवरून
सहस्रापर्यंत घसरू शकते, याची आपणास
कल्पना आहे का?'
'अरे हो, हे आमच्या लक्षातच आलं नाही.
थोडक्यात म्हणजे सर्वात
महत्त्वाची संख्या ही शून्यच असते. त्याचं महत्त्व
आमच्या लक्षात न आल्यामुळे आमच्याकडून
त्याला न बोलविण्याचा प्रमाद घडला आहे.
त्याला सभेला सन्मानानं बोलावून सभेचं
अध्यक्षस्थान द्यावं,' असं आम्ही सुचवितो.
शंभर अंकानं सभेच्या प्रस्तावास मान्यता देऊन
शून्याला बोलावून घेतलं. मान-सन्मान विसरून शून्य
सभेत हजर झाला. मात्र त्यानं सभेचं अध्यक्षपद
स्वीकारण्यास नम्रपणे नकार दिला.
नेहमीप्रमाणे सभेस सुरुवात झाली. प्रत्येक अंकानं
थोडक्यात आपलं आर्थिक व्यवहारातलं स्थान व
महत्त्व विशद केलं. अंकांची फिरवाफिरवी केल्यावर
होणाऱ्या गमतीजमती, भागाकार, गुणाकार
करताना होणारी दमछाक यांचे दाखलेदेखील दिले.
शेवटी अध्यक्षांनी शून्य अंकास आपलं मनोगत
व्यक्त करण्याची विनंती केली. ते शून्य अंकास
म्हणाले, 'बाबा रे, गणित आणि व्यवहारात
तुझ्याविषयी निर्माण झालेल्या गैरसमजाचं
निराकारण तू आपल्या मनोगतातून व्यक्त करावं,
असं आम्हा सर्व उपस्थितांना वाटतं.'
शून्य अंकानं आढेवेढे न
घेता आपली जन्मकथा आणि महत्त्व सभेत विशद
केलं. तो म्हणाला, ''प्रथम
आर्यभट्टांनी अंकाची ओळख जगाला करून दिली.
मात्र या शोधाचं श्रेय त्यांना व
भारतीयांना मिळायला खूप उशीर झाला.
आजही अंकांना अरेबिक अंक म्हणून ओळखलं जातं.
या पाश्र्वभूमीवर
ब्रह्मगुप्तांना आणि भारतीयांना माझ्या म्हणजे
शून्याच्या शोधाचं श्रेय निर्विवादपणे दिलं जातं.
मानव अंकाचा विचार करू लागला याचा इतिहास
बॅबिलोनियन संस्कृतीपासून सुरू होतो.
अंकाच्या प्रणालीवर हजारो वर्षे संशोधन होत
होतं. मात्र त्याला पूर्णता येत नव्हती.
ही प्रणाली पूर्णत्वास
नेण्यासाठी आणखी एका अंकाची गरज आहे,
याची जाणीव असली तरी या अंकाचे गुणधर्म
काय असावेत याबाबत संभ्रम होता.
ब्रह्मगुप्तांनी या अंकाचं 'शून्य' असं नामकरण
केलंच, शिवाय त्यांच्या गुणधर्माविषयी तर्कशुद्ध
स्पष्टीकरण दिलं.
एखाद्या संख्येत शून्यास मिळविल्यास
अथवा वजा केल्यास त्या अंकाची किंमत बदलत
नाही. एखाद्या अंकाच्या अगोदर शून्य दिल्यास,
त्या अंकाच्या मूल्यात काही फरक पडत नाही.
मात्र अंकाच्या पुढे शून्य दिल्यास त्याची किंमत
दसपट होते. दोन शून्यांची बेरीज शून्य होते.
शून्याने शून्याला भागल्यास उत्तर शून्यच येते.
शून्याचा वापर हा गणितामध्ये होतो.
व्यवहारातही शून्याचा उपयोग अनेक प्रकारे
केला जातो. केल्विन परिणामात 'अॅब्सोल्यूट झिरो'
हे मूल्य शून्यापेक्षा कमी असतं.
आवाजाची पातळी मोजताना घन आणि ऋण
अंकाबरोबरच शून्याचाही उपयोग करतात. शून्य
डेसीबल तीव्रता असणारा आवाज ऐकू येतो?''
आपल्या भाषणाची अंकांवर
होणारी प्रतिक्रिया निरखून शून्य पुढे म्हणाला,
'अहं, भाषणामुळे तुम्ही कंटाळला असाल म्हणून
मी थोडक्यात आवरतं घेतो. माझी किंमत
सर्वकालीन आहे. माझे मूल्य सर्व जगात एकच
असतं. प्रत्येक भाषेत अंक
लिहिण्याची प्रथा वेगळी आहे. मात्र माझं चिन्ह ०
काढावं लागतं.' शून्य अंकानं सर्वाचे आभार मानून
भाषण संपवलं. सर्व अंकानी टाळय़ा वाजवून शून्य
अंकाच्या माहितीपूर्ण व्याख्यानाचं स्वागत केलं.
शून्याबद्दल असलेला गैरसमज दूर झाल्याचं
समाधान व्यक्त करून अध्यक्षांनी सभेचा शेवट
केला. .
Sunday, June 8, 2014
शुन्याची महती - Power of Zero
Saturday, December 7, 2013
How to maximize the probability & forecasting
There are a great number of statistical analytic programs and methods that are used in every day life to calculate the relative risk of an activity to determine the performance of a particular stock on the stock exchange or to work out horse racing or to forecast a number in a lottery event.
Much of the present statistical analytical tools, such as Binomial, Poisson, Hyper geometric, Normal, Exponential, Student t, Chi Squared, F, Beta and Lognormal Distributions; Inverses of Normal, Student t, Chi Squared, F, Beta and Lognormal Distributions; Lists of Binomial Coefficients, Factorials and Permutations; Calculations of Gamma and Beta Functions can be applied to event level data populations and they are not much of use when the data of population contains much of random variables and high level of uncertainty of probability.
All of the above said statistical analytical methods will evaluate only the degree of probability that is to say the degree of chance of occurrence of event in population field. I have been studying various statistical analytical methods as described above as a hobby & used many of above statistical methods in forecasting, particularly in forecasting results in lottery games by using the past results. This went on for many years without getting any proper satisfactory level of forecasting. Later I tried it on many computer statistical analytical applications, mainly in Excel spread sheet applications and linear regression methods & found that you cannot predict any thing simply by feeding data of random variables as that of lottery outcomes otherwise the lottery operators would have vanished long back without any trace.
This new concept is a stumble upon & will simplify to a great extent when the population is much of random variables and unconditional. The main function of my concept is to stream line any random sequence with high uncertainty level of probability or no probability level into a conditional level and therefore very useful in much statistical analysis of probability and forecast, particularly in the use of probability density functions and uncertainty levels in the population groups. I therefore would like interested people and professionals in the field of statistics and probability theory to test the new concept, particularly in the applications of Monte Carlo simulation applications.
In my many years of research work in this field, I found a particular application in simplifying the procedures to a great extent. There are many interesting features in the new concept that they could be utilized in many such linear numerical statistical applications in evaluating results in high levels particularly in applications of high uncertainty linear random variable populations. I strongly feel that my stumble upon this method of application will be interesting subject for many research people on statistical analysis, particularly in Monte Carlo simulation applications.
L
This new concept is a stumble upon & will simplify to a great extent when the population is much of random variables and unconditional. The main function of my concept is to stream line any random sequence with high uncertainty level of probability or no probability level into a conditional level and therefore very useful in much statistical analysis of probability and forecast, particularly in the use of probability density functions and uncertainty levels in the population groups. I therefore would like interested people and professionals in the field of statistics and probability theory to test the new concept, particularly in the applications of Monte Carlo simulation applications.
I
Let us take events of a lottery of daily draw. Let the following numbers be the results of daily draw of a single digit lottery
1, 5, 8, 3, 6, 7. ……… If you look at the numbers, you will find that the events are totally at random in occurrence and absolutely with no relevance in between them. You cannot predict the next lottery number however expert you may be in statistics. There is a total uncertainty in forecasting next number. The BEST method in forecasting the next event is ‘conditional probability method ‘. In this method, another parallel format of event for each occurrence of numbers is taken in account and future event is predicted against the occurrence of the number in the conditional format. This method is known as ‘linear regression method ‘ In simple terms predicting the future value by using existing values. The predicted value is a Y value for a given X value. The known values are existing x-values and y-values, and the new value is predicted by using linear regression. You can use this function to predict future sales, inventory requirements, or consumer trends, in forecasting gambling, horse racing and many more. Given below are STEPS, which will make you to understand the NEW CONCEPT and how to use it in forecasting future events without much fuss and in utmost probability levels.
STEP -1
Select some random variable serial wise and lay those in a column K as below and in the left side column are alphabets denoting the corresponding integer on the right side. Let us select six random variables.
STEP - 2
Subtract the lower integer from the top integer of column K and display the results in the next column as shown below. The procedure goes as 1 – 5 ( A – B ) = - 4, 5 – 8 ( B – C ) = - 3, ….. so on. Continue this procedure until you get single cell display at the end, as shown in figure 2.
STEP – 3
Add all the numbers of each row and display it in the column # A shown as above as
In row A = 1 + 0 = 1, in row B = 5 + ( - 4 ) = 1, in row C = 8 + ( - 3 ) + ( - 1 ) = 4………so on
Continue this process till you gets a format on the left side and I call it as FORMATTED TRIANGLE and the first column as FORMATTED COLUMN or as # A (brown in color)
STEP - 4
The formatted triangle, as mentioned above is the main fundamental feature of the formatting and in the coming lines many interesting properties or you can say as interesting FEATURES are found in the FORMATTED TRIANGLE. Now we shall proceed further in evolving many interesting
features that the formatted triangle contains. Let us first take the formatted triangle, shown as above
Feature1). The top two digits, A & B will be same in value
Feature no. 2). The difference of third integer from 2nd, and 4th to 3rd will
- be same. B – C = C – D, as seen in the next column as -3, -3
Figure - 2
Figure – 1
( Formatted triangle)
Figure – 1 is formatted triangle as described above. When the digits displayed in the column # A is again further formatted, as shown in figure – 2, the same replica of figure – 1 is seen . That is say that the totals of each row of triangle in figure – 1, will be same as of column # A. If you take the examples in STEP-2, the formatted triangle displayed in Figure -2 is not the replica of
Figure - 1
Feature no 4) The first column # A of formatted triangle is again formatted, it will be the same replica of the first triangle.
Take the integers of column # A from figure – 1 as shown above and the end integers of same row. The display will be as below. Subtract the end nos. from column # A and observe the result.
For next feature , let us take the formatted olumn #A and include ‘ 0 ‘ on the top cell as shown below and repeat the formatting as explained in STEP -2, figure – 2.
In the above example, the column is the display of original random variables selected and the subsequent columns are the display of column A, the end nos. and last one is the total of col. A and the end nos. of each row. Let us take the column of the ‘total’ for further evolution and exploring new features as below.
Now we will triangle format the total column as explained in STEP – 2
VIEW - 1
Feature no) 13). Periodicity of alphabetical order is seen in the order of formulas.
If you look at the formulas, VIEW – 2, the periodicity of display order is seen as column wise as A, A, A, A, …….B, 2B, 3B, 4C, ……..C, 2C, 4C, 7C, 11C, ….and so on
The formatted column #A, some more fundamental properties numbering 14, 15, 16, & 17) and the formulas may be of much helpful in many statistical applications.
Feature no18) Periodicity of alphabetical order is also seen in the display of above formulas as described in feature no 13). In evolving further such features in bigger populations, computer application is needed to identify such equations as described above and also it is a matter of working this new concept on the computer surely many of similar more features could be found with the help of the computer in working with large population of data.
STEP – 8
Before going further, it is important to understand the above concepts and the said features by working with different small samples on paper, preferably on Microsoft Excel work sheet on computer and test the features.
USE OF THE NEW CONCEPT IN PROBABILITY, FORECAST
How this concept can be incorporated in evaluating probability & forecast, particularly when the population contains random and uncertainty level ? let us take some examples and work out implementing some of the said features. Sample 1s taken from STEP -7, WIEW – 1.
The numbers displayed in the column A is selected randomly and triangle formatted as described in STEP – 2.
The numbers displayed in #A column are formatted by adding integers on the left format row wise. As said that the two columns A & #A will have conditional probability, we will take the two columns separately and work out.
The easy way is to look in the 9th row ( I row ), add up the 1, 3, 5, 7 and 9th cells
Important :- the selection of the random variables must always be ODD in number
There are several ways in selecting the proper conditional serial format with column A
1). The column can be selected with any formatted column, arising there by after triangle formatting the column A as described in many examples in the above STEPS. in this way you get many options of conditional formatted series in evaluating the forest of X to a greater level of accuracy. Some times all or majority of cells in #A will coincide with the corresponding cells of column A.
2). As the column #A is formatted one with unknown event in the last column as ( - 1 - 100 ). And the above cells are known & conditional with well defined periodicity, the forecasting the last event can well be evolved with many applications of statistical analysis, most preferably with Monte Carlo simulations.
3). The features of 14), 15). 16), & 17) with formulas having well defined periodicity, and the Zero start format, described in STEP – 5, are very useful in evaluating the propagation of future trails in the conditional series.
STEP - 9
. There are several features hidden in the formatted columns like that of #A. we will explore some of the unique features by formatting the #A in different way.
Example taken is column #A. as below.
the above example it can be seen that several well defined formatted columns could be generated from single column #A. larger the integers in col. #A. larger will be the generated # columns. If the last cell of col. #A is substituted with variable X. all the end cells of each subsequent columns will have different values with X+ or X- .
Important : - in selecting any two columns in forecasting applications, the top two paired nos. in the columns should be lined in a row.
In conclusion, there are many such features that somebody can explore by using the computes and by selecting large populations. May be, some of the features thus found are more interesting and more potent in the applications of many probability forecasts.
Source: https://sites.google.com/site/newconceptssite/how-to-maximize-the-probability---forecasting-of-events-in-gambling-3
Much of the present statistical analytical tools, such as Binomial, Poisson, Hyper geometric, Normal, Exponential, Student t, Chi Squared, F, Beta and Lognormal Distributions; Inverses of Normal, Student t, Chi Squared, F, Beta and Lognormal Distributions; Lists of Binomial Coefficients, Factorials and Permutations; Calculations of Gamma and Beta Functions can be applied to event level data populations and they are not much of use when the data of population contains much of random variables and high level of uncertainty of probability.
All of the above said statistical analytical methods will evaluate only the degree of probability that is to say the degree of chance of occurrence of event in population field. I have been studying various statistical analytical methods as described above as a hobby & used many of above statistical methods in forecasting, particularly in forecasting results in lottery games by using the past results. This went on for many years without getting any proper satisfactory level of forecasting. Later I tried it on many computer statistical analytical applications, mainly in Excel spread sheet applications and linear regression methods & found that you cannot predict any thing simply by feeding data of random variables as that of lottery outcomes otherwise the lottery operators would have vanished long back without any trace.
This new concept is a stumble upon & will simplify to a great extent when the population is much of random variables and unconditional. The main function of my concept is to stream line any random sequence with high uncertainty level of probability or no probability level into a conditional level and therefore very useful in much statistical analysis of probability and forecast, particularly in the use of probability density functions and uncertainty levels in the population groups. I therefore would like interested people and professionals in the field of statistics and probability theory to test the new concept, particularly in the applications of Monte Carlo simulation applications.
In my many years of research work in this field, I found a particular application in simplifying the procedures to a great extent. There are many interesting features in the new concept that they could be utilized in many such linear numerical statistical applications in evaluating results in high levels particularly in applications of high uncertainty linear random variable populations. I strongly feel that my stumble upon this method of application will be interesting subject for many research people on statistical analysis, particularly in Monte Carlo simulation applications.
L
This new concept is a stumble upon & will simplify to a great extent when the population is much of random variables and unconditional. The main function of my concept is to stream line any random sequence with high uncertainty level of probability or no probability level into a conditional level and therefore very useful in much statistical analysis of probability and forecast, particularly in the use of probability density functions and uncertainty levels in the population groups. I therefore would like interested people and professionals in the field of statistics and probability theory to test the new concept, particularly in the applications of Monte Carlo simulation applications.
I
Let us take events of a lottery of daily draw. Let the following numbers be the results of daily draw of a single digit lottery
1, 5, 8, 3, 6, 7. ……… If you look at the numbers, you will find that the events are totally at random in occurrence and absolutely with no relevance in between them. You cannot predict the next lottery number however expert you may be in statistics. There is a total uncertainty in forecasting next number. The BEST method in forecasting the next event is ‘conditional probability method ‘. In this method, another parallel format of event for each occurrence of numbers is taken in account and future event is predicted against the occurrence of the number in the conditional format. This method is known as ‘linear regression method ‘ In simple terms predicting the future value by using existing values. The predicted value is a Y value for a given X value. The known values are existing x-values and y-values, and the new value is predicted by using linear regression. You can use this function to predict future sales, inventory requirements, or consumer trends, in forecasting gambling, horse racing and many more. Given below are STEPS, which will make you to understand the NEW CONCEPT and how to use it in forecasting future events without much fuss and in utmost probability levels.
STEP -1
Select some random variable serial wise and lay those in a column K as below and in the left side column are alphabets denoting the corresponding integer on the right side. Let us select six random variables.
STEP - 2
Subtract the lower integer from the top integer of column K and display the results in the next column as shown below. The procedure goes as 1 – 5 ( A – B ) = - 4, 5 – 8 ( B – C ) = - 3, ….. so on. Continue this procedure until you get single cell display at the end, as shown in figure 2.
STEP – 3
Add all the numbers of each row and display it in the column # A shown as above as
In row A = 1 + 0 = 1, in row B = 5 + ( - 4 ) = 1, in row C = 8 + ( - 3 ) + ( - 1 ) = 4………so on
Continue this process till you gets a format on the left side and I call it as FORMATTED TRIANGLE and the first column as FORMATTED COLUMN or as # A (brown in color)
STEP - 4
The formatted triangle, as mentioned above is the main fundamental feature of the formatting and in the coming lines many interesting properties or you can say as interesting FEATURES are found in the FORMATTED TRIANGLE. Now we shall proceed further in evolving many interesting
features that the formatted triangle contains. Let us first take the formatted triangle, shown as above
Feature1). The top two digits, A & B will be same in value
Feature no. 2). The difference of third integer from 2nd, and 4th to 3rd will
- be same. B – C = C – D, as seen in the next column as -3, -3
Figure - 2
Figure – 1
( Formatted triangle)
Figure – 1 is formatted triangle as described above. When the digits displayed in the column # A is again further formatted, as shown in figure – 2, the same replica of figure – 1 is seen . That is say that the totals of each row of triangle in figure – 1, will be same as of column # A. If you take the examples in STEP-2, the formatted triangle displayed in Figure -2 is not the replica of
Figure - 1
Feature no 4) The first column # A of formatted triangle is again formatted, it will be the same replica of the first triangle.
Take the integers of column # A from figure – 1 as shown above and the end integers of same row. The display will be as below. Subtract the end nos. from column # A and observe the result.
For next feature , let us take the formatted olumn #A and include ‘ 0 ‘ on the top cell as shown below and repeat the formatting as explained in STEP -2, figure – 2.
In the above example, the column is the display of original random variables selected and the subsequent columns are the display of column A, the end nos. and last one is the total of col. A and the end nos. of each row. Let us take the column of the ‘total’ for further evolution and exploring new features as below.
Now we will triangle format the total column as explained in STEP – 2
VIEW - 1
Feature no) 13). Periodicity of alphabetical order is seen in the order of formulas.
If you look at the formulas, VIEW – 2, the periodicity of display order is seen as column wise as A, A, A, A, …….B, 2B, 3B, 4C, ……..C, 2C, 4C, 7C, 11C, ….and so on
The formatted column #A, some more fundamental properties numbering 14, 15, 16, & 17) and the formulas may be of much helpful in many statistical applications.
Feature no18) Periodicity of alphabetical order is also seen in the display of above formulas as described in feature no 13). In evolving further such features in bigger populations, computer application is needed to identify such equations as described above and also it is a matter of working this new concept on the computer surely many of similar more features could be found with the help of the computer in working with large population of data.
STEP – 8
Before going further, it is important to understand the above concepts and the said features by working with different small samples on paper, preferably on Microsoft Excel work sheet on computer and test the features.
USE OF THE NEW CONCEPT IN PROBABILITY, FORECAST
How this concept can be incorporated in evaluating probability & forecast, particularly when the population contains random and uncertainty level ? let us take some examples and work out implementing some of the said features. Sample 1s taken from STEP -7, WIEW – 1.
The numbers displayed in #A column are formatted by adding integers on the left format row wise. As said that the two columns A & #A will have conditional probability, we will take the two columns separately and work out.
The easy way is to look in the 9th row ( I row ), add up the 1, 3, 5, 7 and 9th cells
Important :- the selection of the random variables must always be ODD in number
There are several ways in selecting the proper conditional serial format with column A
1). The column can be selected with any formatted column, arising there by after triangle formatting the column A as described in many examples in the above STEPS. in this way you get many options of conditional formatted series in evaluating the forest of X to a greater level of accuracy. Some times all or majority of cells in #A will coincide with the corresponding cells of column A.
2). As the column #A is formatted one with unknown event in the last column as ( - 1 - 100 ). And the above cells are known & conditional with well defined periodicity, the forecasting the last event can well be evolved with many applications of statistical analysis, most preferably with Monte Carlo simulations.
3). The features of 14), 15). 16), & 17) with formulas having well defined periodicity, and the Zero start format, described in STEP – 5, are very useful in evaluating the propagation of future trails in the conditional series.
STEP - 9
. There are several features hidden in the formatted columns like that of #A. we will explore some of the unique features by formatting the #A in different way.
Example taken is column #A. as below.
the above example it can be seen that several well defined formatted columns could be generated from single column #A. larger the integers in col. #A. larger will be the generated # columns. If the last cell of col. #A is substituted with variable X. all the end cells of each subsequent columns will have different values with X+ or X- .
Important : - in selecting any two columns in forecasting applications, the top two paired nos. in the columns should be lined in a row.
In conclusion, there are many such features that somebody can explore by using the computes and by selecting large populations. May be, some of the features thus found are more interesting and more potent in the applications of many probability forecasts.
Source: https://sites.google.com/site/newconceptssite/how-to-maximize-the-probability---forecasting-of-events-in-gambling-3
Picking the winning combinations or numbers
Introducing completely a new concept in picking the winning
combinations or numbers in lottery, Lotto, and in similar gambling events at maximum
certainty and probability levels there by minimizing the number of tickets they
would actually need to purchase and It improves the numerical odds of picking
winning lottery numbers and effectively saves money compared to all the other
leading lottery number pickers. The lottery is a random game of chance., it's
gambling. So, what? It's fun, exciting and easy to play.
. No body wants to loose money in such lottery or in gambling events however rich they are and except a lucky few & majority loose money and end-up in state of despair and agony. In lottery and similar pool games the events are totally random in nature and forecasting of next event cannot be evaluated by any of present statistical analytical methods. Let us take an example of results of local single digit lottery daily draws as 3, 4, 1, 6, 2, 5, 5, 1, 0, 2, 5, 2, 5, 9, 8,…….. so on. Look at the way the numbers appeared in each lottery draw. There is no relation, correlation or any type of mathematical formulas connected and totally chaotic and you cannot predict the next event in the lottery however expert you are in the statistical analytical mathematics or astrology, tarot readings, numerology or by any sort of fortune telling methods. There is no fun playing in gambling of lottery by picking numbers at random or by selecting as lucky nos. as all the numbers will have equal probability of occurrence irrespective of lucky or unlucky. For incorporating any system in probability theory, the population or the data selected, must have a trend line and not merely of random in occurrence. The figures of sales, inventory, population growth etc. have trends. The mostly used systems are linear regression method and Monte Carlo simulation procedures. Both these methods use conditional level of forecasting wherein each event should have parallel existing values in lieu.
In my quest to find a suitable method in forecasting a winning number as of a lottery, with high degree of accuracy and after many years of testing of various statistical analytical methods in the theory of probability has resulted in stumbling upon a system of mathematical application and I call it pyramidon system .This system offers an incredibly real and practical correlation with gambling randomized events; lottery ; horse racing, sports betting, stock market forecasts. very simple form of mathematical application of simple additions and subtractions and you can enjoy the thrill of applying this method in forecasting many winning combinations in lottery gambling events If you play by selecting the numbers randomly then your chance of winning the event will be at random and have highest uncertainty level. It will be sheer luck if you win and there is no fun in betting in this way having a high uncertainty level of forecasting.
. Suppose that you have come across a strip of the serial number of your electricity bill, where in the all the initial six digits of the past lottery result, that is 2, 5, 1, 0, 3, 4, are exactly coinciding with? It is not a thrill? In betting the next number of your electricity bill? Well, there is a high level of chance of occurrence of the next digit of your electricity bill. This method is known as conditional probability and all the forecasting of winning events in the said pyramidon system is totally based on. When you take the past records of certain winning numbers of any lottery or similar gambling event in a serial format and workout according to the methods of the pyramidon system, you will get the conditional format or the trend line. This trend line or the conditional format generated in the pyramidon is the main feature having a trend of occurrence of the numbers and thus eliminating the dreaded factor of total randomness and uncertainty level in calculating probability factors. Understanding & using the trend factor in picking the winning number is the real task to master and dig-out.
There will be a number of trend lines generated in the pyramidon system and a trend line having the highest correlation factor could be selected in picking the winning number. Not only this, you can use the conditional probability methods like Linear regression method, Monte Carlo simulations and many of correlation method in forecasting the winning lottery numbers.
. This pyramidon method is the only method in the application of forecasting the winning event, far advanced then any other systems of statistical analytical systems that are there existing to-day. No other methods or systems of statistical probability analytical method could be applied in a satisfactory level than pyramidon system in forecasting the winning numbers in the gambling and other similar events. Not only this method is very simple in application, it is much interesting in the working-out and evaluating the winning event at highest probability level. You will find lot of trend lines generated in the pyramidon which are very much in correlation with the past record of the winning numbers and some times you can find that a particular trend line in the pyramidon is exactly coinciding with that of the past winning number format and in such situation your logical mind will definitely come to a level of certainty in selecting the next number of the trend line as winning figure with confidence. Now let us go for the real stuff and get the thrill and excitement in looking at the astonishing working of pyramidon system.
Let us get started with the working of the pyramidon system and observe the astonishing trend lines or conditional formats that are generated in order to have maximum confidence levels of probability in selecting the winning numbers.
THE PYRAMIDON SYSTEM
If you know some thing about the famous Fibonacci numbers and awesome properties associated with, then you know how the Fibonacci numerical system is having a striking correlation with the phenomena of growth and evolution in the nature. Some sort of system, pattern & geometric symmetry could be seen hidden in the total in the chaotic conditions of the nature. The growth of plant leaves, flowers, crystals are some examples wherein the growth pattern is seen associated with the Fibonacci serial pattern. Similarly I could find a Fibonacci type of numerical system is hidden in the total random generation of numerical events, having a trend and conditional level as found in the Fibonacci series and very much useful in implementing in the probability theory and forecasting the winning combinations in the lottery.
.
Let us take a simple example and assume that below is the past record of a lottery draws of one of your favorite single digit lottery, taken in series.
Past record of winning numbers of the lottery: - 4, 6, 2, 3, 6, 8, and X.(to forecast) displayed in column A
X is the 8th event that has to be forecasted wherein you can win nine times of the amount you get against the odds of 1:9. format the past record of winning nos. as below
. In the subsequent columns, B, C, D, …..G, are numbers of subtraction. For example in the column B, the figures -2, 4, -1, -3,… etc. are derived as (4-6), (6-2), (2-3), (3-6) and so on. Add all the numbers in each row to get the results as of column T. for example, the total of 3rd row as 2, 4, and -6 will add up to 0 and shown in the column T. that’s all and you got the first conditional format or trend line in the column T. now observe how the totally random variable line of winning numbers shown in column A, got transformed into a conditional format having high certainty level of probability observed in column T. Observe that the sequence formation in column T.has a peculiar order of occurrence, shown in the column S.
A pattern or a trend line could be seen in the sequence of numbers in column T also in S and according to the trend in column S you can have some confidence that the chances of 7-X = -2 and picking the next winning number as X=9. The trend lines can have values in double forms or in negative forms such as 4, 4, -5, -4, -13, 18 and so on. There is the trend and how to look for it in proper format? In this case certain rules have to be followed and you can see the above trend line as 4, 4, 5, 6, 7, 8
1). for single digit lottery events.
A) Take only the fist digit of display for calculations. For example in the display of 129, take the digit 9 and ignore the remaining digits.
2). When the final digit is evolved as negative form, for example as -4, add 10 to it to get the final figure, add 100 for double digit result, add 1000 for three digit result and so on. Suppose that you have found -3 or -41 or -561 as the final result after going trough the mathematical procedures mentioned in the pyramydon system as above, then 10 -4 = 6 or 100-41 = 59 or 1000 – 561 = 439 and pick only the last digit as 6 or 9 or 9 as winning numbers.
This procedure will not change the true outcome of the winning number at all. Some practical work is needed in order to understand the pyramidon system and to implicate the trend lines in forecasting the winning number.
Note :- the number of events selected or the population, should always be even in evaluating the next occurrence of the winning number( as 6, 8, 10, 12…….so on) in order to get the trend line.
There are three types of trend line that you will come across during pyramidon simulations as,
1). Lower correlation 2). Normal correlation and 3). Higher correlation. Examples are
The formats of numbers observed (as in the column S ) as 1, 1, 3, 5, or 2, 2, 4, 6 or 4. 4. 2. 0. or 7, 7, 10, 13 wherein the difference between the 2nd & the 3rd or the 3rd & the 4th is more than 1, come under lower correlation type
The formats observed as 1, 1, 2, 3, or 2, 2, 3, 4, or 4, 4, 3, 2 or 7, 7, 8, 9 wherein the difference between the said consecutive numbers is 1, come under the normal correlation.
The format of numbers observed 1,1,1,1 or 3,3,3,3 or 5,5,5, 5 or 0,0,0,0 wherein the difference in the consecutive numbers is nil, come under the higher correlation type
Always try to select the trend line having the higher correlation.
The magical trend line is the most significant format that you get after working the pyramidon system out of the selected numbers of past winning series as many hidden number of trend lines could be generated out of a single trend line in order find a trend line having higher correlation. In order get a normal or higher correlation trend line, you have to select more past winning numbers. More the past winning numbers selected, more are the trend lines generated and more are the chance of selecting the trend line of higher correlation. When you select more past results, the end part of the pyramidon can be bigger with more digits & the working out in the pyramidon system can be tedious and prone to mistakes & you may end up in getting the wrong nos. or wrong trend lines. Working out the pyramidon system on computer, in Microsoft excel spread sheet will be of tremendous advantage in saving lot of time in calculations, formations and in elimination of mistakes. Microsoft Excel spread sheet is loaded with many built-in mathematical functions helping you in the way you want to calculate the various parameters of additions, subtractions, multiplications and also with lot many statistical analytical methods, which may be very useful in finding the winning number combinations in the lotteries. It is very simple to learn Microsoft Excel of Window program. After properly laying the past winning nubers in proper format and suitably selecting the required built-in functions of excel, get started working with the pyramidon system on computer, by selecting various series of past records of lottery, lotto etc. and compare the results you get, with the winning numbers and working out in this way for a couple of days will make you to understand the working of the pyramidon system and selecting the winning combinations of highest probability.
Let us take some past winning numbers of a single digit daily draw lottery sample format and work out as described above
Past winning numbers are 7, 6, 8, 0, 5, 2, 4, 6, 3, 7 (even no. of figures) and after working out as shown in TABLE – 1 and adding up all the numbers in each row, as shown in column T of TABLE – 1 you will get the format shown in the column A as below.
Now working out again in the way as shown in TABLE – 1 , you can find some of the trend lines running along column wise below the 0 cells. Look at the trend lines below 0 in each column and find that there is a definite conditional level of occurrence of numbers in the trend lines. In column C, the trend line forming as 13, 13, 26, 39, 52, and 65, there is a constant difference of 13 and hence the probability of occurrence of next cell number in the trend line as 78 can be high with high confidence level. Working out the equation X + 31 = 78 will give the value of X = 47 and as per the rule stipulated above, number 7 (last digit) should be selected.
When it comes in selecting thee figures that of lotto results, never select all the three digits as a whole and
Work out. Separate them column wise as shown below & select each column and work out for finding the winning number in the right place. Assume the following are the three digit lotto past results. Separate them column wise as 1, 9, 8, 2, ……of column A so on in working with the Pyramidon system
A – B - C
……………………... 1 – 6 - 3
…………………….. 9 – 7 – 2
……………………... 8 – 7 - 6
………………………2 – 6 - 9
The formation of trend lines in the Pyramidon system is the most fundamental feature having many hidden features, useful in probability theory applications and pyramidon system is the only system or method among all the present systems of statistical analysis as this system transforms total random and uncertainty level of the population into a conditional level with many trend lines generated in it. You have to study the various trend lines for certainty levels and use good logic in finding winning nos.
Source : https://sites.google.com/site/newconceptssite/Home/how-to-pick-pick-the-winning-numbers
. No body wants to loose money in such lottery or in gambling events however rich they are and except a lucky few & majority loose money and end-up in state of despair and agony. In lottery and similar pool games the events are totally random in nature and forecasting of next event cannot be evaluated by any of present statistical analytical methods. Let us take an example of results of local single digit lottery daily draws as 3, 4, 1, 6, 2, 5, 5, 1, 0, 2, 5, 2, 5, 9, 8,…….. so on. Look at the way the numbers appeared in each lottery draw. There is no relation, correlation or any type of mathematical formulas connected and totally chaotic and you cannot predict the next event in the lottery however expert you are in the statistical analytical mathematics or astrology, tarot readings, numerology or by any sort of fortune telling methods. There is no fun playing in gambling of lottery by picking numbers at random or by selecting as lucky nos. as all the numbers will have equal probability of occurrence irrespective of lucky or unlucky. For incorporating any system in probability theory, the population or the data selected, must have a trend line and not merely of random in occurrence. The figures of sales, inventory, population growth etc. have trends. The mostly used systems are linear regression method and Monte Carlo simulation procedures. Both these methods use conditional level of forecasting wherein each event should have parallel existing values in lieu.
In my quest to find a suitable method in forecasting a winning number as of a lottery, with high degree of accuracy and after many years of testing of various statistical analytical methods in the theory of probability has resulted in stumbling upon a system of mathematical application and I call it pyramidon system .This system offers an incredibly real and practical correlation with gambling randomized events; lottery ; horse racing, sports betting, stock market forecasts. very simple form of mathematical application of simple additions and subtractions and you can enjoy the thrill of applying this method in forecasting many winning combinations in lottery gambling events If you play by selecting the numbers randomly then your chance of winning the event will be at random and have highest uncertainty level. It will be sheer luck if you win and there is no fun in betting in this way having a high uncertainty level of forecasting.
. Suppose that you have come across a strip of the serial number of your electricity bill, where in the all the initial six digits of the past lottery result, that is 2, 5, 1, 0, 3, 4, are exactly coinciding with? It is not a thrill? In betting the next number of your electricity bill? Well, there is a high level of chance of occurrence of the next digit of your electricity bill. This method is known as conditional probability and all the forecasting of winning events in the said pyramidon system is totally based on. When you take the past records of certain winning numbers of any lottery or similar gambling event in a serial format and workout according to the methods of the pyramidon system, you will get the conditional format or the trend line. This trend line or the conditional format generated in the pyramidon is the main feature having a trend of occurrence of the numbers and thus eliminating the dreaded factor of total randomness and uncertainty level in calculating probability factors. Understanding & using the trend factor in picking the winning number is the real task to master and dig-out.
There will be a number of trend lines generated in the pyramidon system and a trend line having the highest correlation factor could be selected in picking the winning number. Not only this, you can use the conditional probability methods like Linear regression method, Monte Carlo simulations and many of correlation method in forecasting the winning lottery numbers.
. This pyramidon method is the only method in the application of forecasting the winning event, far advanced then any other systems of statistical analytical systems that are there existing to-day. No other methods or systems of statistical probability analytical method could be applied in a satisfactory level than pyramidon system in forecasting the winning numbers in the gambling and other similar events. Not only this method is very simple in application, it is much interesting in the working-out and evaluating the winning event at highest probability level. You will find lot of trend lines generated in the pyramidon which are very much in correlation with the past record of the winning numbers and some times you can find that a particular trend line in the pyramidon is exactly coinciding with that of the past winning number format and in such situation your logical mind will definitely come to a level of certainty in selecting the next number of the trend line as winning figure with confidence. Now let us go for the real stuff and get the thrill and excitement in looking at the astonishing working of pyramidon system.
Let us get started with the working of the pyramidon system and observe the astonishing trend lines or conditional formats that are generated in order to have maximum confidence levels of probability in selecting the winning numbers.
THE PYRAMIDON SYSTEM
If you know some thing about the famous Fibonacci numbers and awesome properties associated with, then you know how the Fibonacci numerical system is having a striking correlation with the phenomena of growth and evolution in the nature. Some sort of system, pattern & geometric symmetry could be seen hidden in the total in the chaotic conditions of the nature. The growth of plant leaves, flowers, crystals are some examples wherein the growth pattern is seen associated with the Fibonacci serial pattern. Similarly I could find a Fibonacci type of numerical system is hidden in the total random generation of numerical events, having a trend and conditional level as found in the Fibonacci series and very much useful in implementing in the probability theory and forecasting the winning combinations in the lottery.
.
Let us take a simple example and assume that below is the past record of a lottery draws of one of your favorite single digit lottery, taken in series.
Past record of winning numbers of the lottery: - 4, 6, 2, 3, 6, 8, and X.(to forecast) displayed in column A
X is the 8th event that has to be forecasted wherein you can win nine times of the amount you get against the odds of 1:9. format the past record of winning nos. as below
. In the subsequent columns, B, C, D, …..G, are numbers of subtraction. For example in the column B, the figures -2, 4, -1, -3,… etc. are derived as (4-6), (6-2), (2-3), (3-6) and so on. Add all the numbers in each row to get the results as of column T. for example, the total of 3rd row as 2, 4, and -6 will add up to 0 and shown in the column T. that’s all and you got the first conditional format or trend line in the column T. now observe how the totally random variable line of winning numbers shown in column A, got transformed into a conditional format having high certainty level of probability observed in column T. Observe that the sequence formation in column T.has a peculiar order of occurrence, shown in the column S.
A pattern or a trend line could be seen in the sequence of numbers in column T also in S and according to the trend in column S you can have some confidence that the chances of 7-X = -2 and picking the next winning number as X=9. The trend lines can have values in double forms or in negative forms such as 4, 4, -5, -4, -13, 18 and so on. There is the trend and how to look for it in proper format? In this case certain rules have to be followed and you can see the above trend line as 4, 4, 5, 6, 7, 8
1). for single digit lottery events.
A) Take only the fist digit of display for calculations. For example in the display of 129, take the digit 9 and ignore the remaining digits.
2). When the final digit is evolved as negative form, for example as -4, add 10 to it to get the final figure, add 100 for double digit result, add 1000 for three digit result and so on. Suppose that you have found -3 or -41 or -561 as the final result after going trough the mathematical procedures mentioned in the pyramydon system as above, then 10 -4 = 6 or 100-41 = 59 or 1000 – 561 = 439 and pick only the last digit as 6 or 9 or 9 as winning numbers.
This procedure will not change the true outcome of the winning number at all. Some practical work is needed in order to understand the pyramidon system and to implicate the trend lines in forecasting the winning number.
Note :- the number of events selected or the population, should always be even in evaluating the next occurrence of the winning number( as 6, 8, 10, 12…….so on) in order to get the trend line.
There are three types of trend line that you will come across during pyramidon simulations as,
1). Lower correlation 2). Normal correlation and 3). Higher correlation. Examples are
The formats of numbers observed (as in the column S ) as 1, 1, 3, 5, or 2, 2, 4, 6 or 4. 4. 2. 0. or 7, 7, 10, 13 wherein the difference between the 2nd & the 3rd or the 3rd & the 4th is more than 1, come under lower correlation type
The formats observed as 1, 1, 2, 3, or 2, 2, 3, 4, or 4, 4, 3, 2 or 7, 7, 8, 9 wherein the difference between the said consecutive numbers is 1, come under the normal correlation.
The format of numbers observed 1,1,1,1 or 3,3,3,3 or 5,5,5, 5 or 0,0,0,0 wherein the difference in the consecutive numbers is nil, come under the higher correlation type
Always try to select the trend line having the higher correlation.
The magical trend line is the most significant format that you get after working the pyramidon system out of the selected numbers of past winning series as many hidden number of trend lines could be generated out of a single trend line in order find a trend line having higher correlation. In order get a normal or higher correlation trend line, you have to select more past winning numbers. More the past winning numbers selected, more are the trend lines generated and more are the chance of selecting the trend line of higher correlation. When you select more past results, the end part of the pyramidon can be bigger with more digits & the working out in the pyramidon system can be tedious and prone to mistakes & you may end up in getting the wrong nos. or wrong trend lines. Working out the pyramidon system on computer, in Microsoft excel spread sheet will be of tremendous advantage in saving lot of time in calculations, formations and in elimination of mistakes. Microsoft Excel spread sheet is loaded with many built-in mathematical functions helping you in the way you want to calculate the various parameters of additions, subtractions, multiplications and also with lot many statistical analytical methods, which may be very useful in finding the winning number combinations in the lotteries. It is very simple to learn Microsoft Excel of Window program. After properly laying the past winning nubers in proper format and suitably selecting the required built-in functions of excel, get started working with the pyramidon system on computer, by selecting various series of past records of lottery, lotto etc. and compare the results you get, with the winning numbers and working out in this way for a couple of days will make you to understand the working of the pyramidon system and selecting the winning combinations of highest probability.
Let us take some past winning numbers of a single digit daily draw lottery sample format and work out as described above
Past winning numbers are 7, 6, 8, 0, 5, 2, 4, 6, 3, 7 (even no. of figures) and after working out as shown in TABLE – 1 and adding up all the numbers in each row, as shown in column T of TABLE – 1 you will get the format shown in the column A as below.
Now working out again in the way as shown in TABLE – 1 , you can find some of the trend lines running along column wise below the 0 cells. Look at the trend lines below 0 in each column and find that there is a definite conditional level of occurrence of numbers in the trend lines. In column C, the trend line forming as 13, 13, 26, 39, 52, and 65, there is a constant difference of 13 and hence the probability of occurrence of next cell number in the trend line as 78 can be high with high confidence level. Working out the equation X + 31 = 78 will give the value of X = 47 and as per the rule stipulated above, number 7 (last digit) should be selected.
When it comes in selecting thee figures that of lotto results, never select all the three digits as a whole and
Work out. Separate them column wise as shown below & select each column and work out for finding the winning number in the right place. Assume the following are the three digit lotto past results. Separate them column wise as 1, 9, 8, 2, ……of column A so on in working with the Pyramidon system
A – B - C
……………………... 1 – 6 - 3
…………………….. 9 – 7 – 2
……………………... 8 – 7 - 6
………………………2 – 6 - 9
The formation of trend lines in the Pyramidon system is the most fundamental feature having many hidden features, useful in probability theory applications and pyramidon system is the only system or method among all the present systems of statistical analysis as this system transforms total random and uncertainty level of the population into a conditional level with many trend lines generated in it. You have to study the various trend lines for certainty levels and use good logic in finding winning nos.
Source : https://sites.google.com/site/newconceptssite/Home/how-to-pick-pick-the-winning-numbers
Monday, November 25, 2013
Nature in Numbers
The Fibonacci sequence is possibly the most simple recurrence
relation occurring in nature. It is 0,1,1,2,3,5,8,13,21,34,55,89, 144…
each number equals the sum of the two numbers before it, and the
difference of the two numbers succeeding it. It is an infinite sequence
which goes on forever as it develops.
The Golden Ratio/Divine Ratio or Golden Mean
The quotient of any Fibonacci number and it’s predecessor approaches Phi, represented as ϕ (1.618), the Golden ratio. The Golden Ratio is best understood geometrically by the golden rectangle. A rectangle unevenly divided resulting into one square and one rectangle, the square’s sides would have the ratio of 1:1, and the new rectangle would be exactly proportionate to the original rectangle – 1:1.618.
This iteration can continue both ways, infinitely. If you plot a quarter circle inside each of the squares as they reiterate, the golden spiral is formed. The golden spiral is possibly the most simple mathematic pattern that occurs in nature like shells of snails, sea shells, horns, flowers, plants. Numbers are only what we use to organize quantitative information.
The Golden Ratio can be applied to any number of geometric forms including circles, triangles, pyramids, prisms, and polygons. The golden ratio is formed by thirds within thirds, sixths, the connection between two and three, including every even and odd number itself. The ratio itself represents the transcendence of numbers, understanding our world is not numbers, but what numbers represent. Through the spiral, the ratio illustrates how the numbers, all quantities, are quality. Eventually, all quality can be represented through quantity. Properties qualitative and quantitative are just labels of information, our gathered indisputable fact.
If you graph any number system, eventually patterns appear. In mathematics, numbers and their patterns do not only continue infinitely linear, but in all directions. For example, considering infinite decimal expansion, even the shortest segments have an infinite amount of points.
Our universe and the numbers not only go on infinitely linear, but even it’s short segments have infinite points.
Why should this be? Why has Mother Nature found an evolutionary advantage in arranging plant structures in spiral shapes exhibiting the Fibonacci sequence?
We have no certain answer. In 1875, a mathematician named Wiesner provided a mathematical demonstration that the helical arrangement of leaves on a branch in Fibonacci proportions was an efficient way to gather a maximum amount of sunlight with a few leaves - he claimed, the best way. But recently, a Cornell University botanist named Karl Niklas decided to test this hypothesis in his laboratory; he discovered that almost any reasonable arrangement of leaves has the same sunlight-gathering capability. So we are still in the dark about light.
This proportion is the same as the proportions generated by successive entries in the Fibonacci sequence: 5:3, 8:5,13:8, and so on
As we go further out in the sequence, the proportions of adjacent terms begins to approach a fixed limiting value of 1.618034 . . . This is a very famous ratio with a long and honored history; the Golden Mean of Euclid and Aristotle, the divine proportion of Leonardo daVinci, considered the most beautiful and important of quantities. This number has more tantalizing properties than you can imagine.
The Golden Ratio/Divine Ratio or Golden Mean
The quotient of any Fibonacci number and it’s predecessor approaches Phi, represented as ϕ (1.618), the Golden ratio. The Golden Ratio is best understood geometrically by the golden rectangle. A rectangle unevenly divided resulting into one square and one rectangle, the square’s sides would have the ratio of 1:1, and the new rectangle would be exactly proportionate to the original rectangle – 1:1.618.
This iteration can continue both ways, infinitely. If you plot a quarter circle inside each of the squares as they reiterate, the golden spiral is formed. The golden spiral is possibly the most simple mathematic pattern that occurs in nature like shells of snails, sea shells, horns, flowers, plants. Numbers are only what we use to organize quantitative information.
The Golden Ratio can be applied to any number of geometric forms including circles, triangles, pyramids, prisms, and polygons. The golden ratio is formed by thirds within thirds, sixths, the connection between two and three, including every even and odd number itself. The ratio itself represents the transcendence of numbers, understanding our world is not numbers, but what numbers represent. Through the spiral, the ratio illustrates how the numbers, all quantities, are quality. Eventually, all quality can be represented through quantity. Properties qualitative and quantitative are just labels of information, our gathered indisputable fact.
If you graph any number system, eventually patterns appear. In mathematics, numbers and their patterns do not only continue infinitely linear, but in all directions. For example, considering infinite decimal expansion, even the shortest segments have an infinite amount of points.
Our universe and the numbers not only go on infinitely linear, but even it’s short segments have infinite points.
Why should this be? Why has Mother Nature found an evolutionary advantage in arranging plant structures in spiral shapes exhibiting the Fibonacci sequence?
We have no certain answer. In 1875, a mathematician named Wiesner provided a mathematical demonstration that the helical arrangement of leaves on a branch in Fibonacci proportions was an efficient way to gather a maximum amount of sunlight with a few leaves - he claimed, the best way. But recently, a Cornell University botanist named Karl Niklas decided to test this hypothesis in his laboratory; he discovered that almost any reasonable arrangement of leaves has the same sunlight-gathering capability. So we are still in the dark about light.
This proportion is the same as the proportions generated by successive entries in the Fibonacci sequence: 5:3, 8:5,13:8, and so on
As we go further out in the sequence, the proportions of adjacent terms begins to approach a fixed limiting value of 1.618034 . . . This is a very famous ratio with a long and honored history; the Golden Mean of Euclid and Aristotle, the divine proportion of Leonardo daVinci, considered the most beautiful and important of quantities. This number has more tantalizing properties than you can imagine.
Wednesday, November 28, 2012
Calculation of Hour
Calculation of Hour
To calculate the starting hour of the day, we have to know the time of sunrise. time of solar noon and time of sunset. These three parameters are essential to fix the horas of the day.
Let me give you an example of calculation of Hora for the day January 14th 2011, place : Chennai, India. (Note: Horas change from place to place, according to three parameters i mentioned)
The Sun Rise time on 14/1/2011 : 6.35 AM
The Solar Noon time on 14/1/2011 : 12.18 PM
The Sun Set time on 14/1/2011 : 18.01 PM
Place: Chennai, India
Step 1: Subtract the sun rise time from solar noon time. 12.18 PM – 6.35 AM gives 343 minutes
Step 2: divide the result of step 1 by 6, 343/6 gives 57 minutes 17 seconds.
Step 3: The sunrise time of the day + 57 minutes 17 seconds is the first hour of the day, and then add this time interval successively for other following horas.
Now, this 57 minutes 17 seconds is the time interval of planetary hours of a day, from sunrise time to solar noon time.
i.e. Jan 14th is Friday. so the starting hour of this day is hora of venus, So venus hora starts from 6.35 am to 7:32:59 am, the next mercury hora starts from 7:32:59 am to 8:30:58 am. this will continue till mars hora which will end at 12:22:54 pm. After this, subtract the solar noon time from sun set time, i.e. 18.01 Pm – 12.18 pm, which is again 343 minutes, and the interval comes 57 minutes 17 seconds. So the hora after mars, i.e. sun hora starts from 12:22:54 pm and ends at 13:20:11 pm.
This calculation will continue till the next sunrise time of the day.
This is the accurate method to calculate hora of a day.
Hora Chart
Hora Chart
Hora
Each day starts at sunrise and ends at next day’s sunrise. This period is divided into
24 equal parts and they are called horas. A hora is almost equal to an hour. These
horas are ruled by different planets. The lords of hora come in the order of
decreasing speed with respect to earth: Saturn, Jupiter, Mars, Sun, Venus, Mercury
and Moon. After Moon, we go back to Saturn and repeat the 7 planets.
The first hora of any day (i.e. a period of one hour following sunrise) is ruled by the
lord of the weekday (Sun for Sunday, Moon for Monday, Mars for Tuesday,
Mercury for Wednesday, Jupiter for Thursday, Venus for Friday and Saturn for
Saturday). After that, we list planets in the order mentioned above.
For example, let us take 9:40 pm on a Wednesday on which sunrise was at 6:10 am.
The time elapsed since sunrise is 21:40 – 6:10 = 15:30. So the 16th hour since sunrise
was running then. This is ruled by the 16th planet from Mercury. After subtracting
multiples of 7 from 16, we get 2. So the hora (hour) is ruled by the 2nd planet from
Mercury. From the list given above, we see that the 2nd planet from Mercury is
Moon. So Moon’s hora runs at 9:40 pm.
The basic idea is simple. Each day is divided into hours, beginning at sunrise. If sunrise is at 7:13 AM, for example, the first hour of the day is from 7:13 - 8:13 AM. The Second hour is from 8:13 - 9:13 AM, etc. Each hour carries the energy of one of the planets. The order in which this occurs is as follows: The first planet for each day will be the ruler of the day. Sunday - Sun, Monday - Moon, Tuesday - Mars, Wednesday - Mercury, Thursday - Jupiter, Friday - Venus, Saturday - Saturn.
In calculating the planetary hours for Sunday, for example, first you look up the time of Sunrise in the newspaper. Then you designate the first hour to the Sun, the ruler of Sundays. The rest of the hours follow a set sequence - Sun, Venus, Mercury, Moon, Saturn, Jupiter, Mars.
In another example, if the day is Wednesday, then the first hour ruler is Mercury, the Second is the Moon and so on. When you reach the end of the sequence, start over with the Sun. In this way, it is simple to make a hora table for any day.
Once you have constructed the table of planetary hours, you can begin important activities during the hour of a planet which supports the particular type of activity you are planning. Here is a general list of planets and the types of activities they represent:
Sun - career, health, sports, government, authority figures.
Moon - public relations, family, domestic, mother, personal needs, social life.
Mercury - communications, mental work, education, information, errands, clerical work, presentations, business.
Venus - romance, emotion, social life, family, sensory experience, the arts, entertainment.
Mars - physical activity, competition, sports, brothers.
Jupiter - financial, philosophical, religious, travel, education, children.
Saturn - organizing, business, house cleaning, paying bills, taking care of responsibilities.
Generally, the hours of Saturn and Mars should be approached carefully. Saturn's hour can bring delays, obstacles and pressures, but may also be a great time for doing business. Mars sometimes brings arguments or harshness, but may also bring good ambitious energy.
The hours of Venus and Jupiter, on the other hand, are usually favorable for most activities. But it must be understood that each person will respond differently to a planetary hour based on the specific indications in their natal horoscope. Nevertheless, through experiment, it is possible to get a sense of your own particular response pattern. And this can become an interesting and even valuable way to approach each day astrologically!
Uses of Hora :
Sun : Sun hora is dynamic energetic and powerful. Coronation, meeting with high officials, Health related works, Trade, spiritual matters, government works are suitable.
Moon : Moon hora is soft delicate and fluctuating. Sea, water, liquid related works, agriculture, gardening, travel, food related activities bring success.
Mars : Mars hora is sharp, aggressive and volatile avoid important activities during this period. Construction, electrical and mechanical engineering works, competition, sports, litigation, fire related activities are recommended.
Mercury : Mercury hora is quick and inconstant. Education, learning, communication, writing, agreement, trade, travel, discussion. related matters are suitable.
Jupiter : Jupiter hora is auspicious fruitful and increasing. Financial matters, travel, progeny, spiritual matters, and all important auspicious activity are recommended.
Venus : Venus hora is beneficial aesthetic and uniting. Love, romance, marriage, sex , recreational and enjoyable pursuits, music, art, dance related activities are recommended.
Saturn : Saturn Hora is inactive, slow and delaying; avoid activities which need speedy expedition. Laying Foundation, Entering new house/city, opening fixed deposit, usage oil, iron, and Steel. Activities are recommended.
Note 1 :
Sun Hora is positively more effective on Sunday, Tuesday and Thursday.
Moon Hora is positively more effective on Monday and Thursday.
Mars Hora is positively more effective on Sunday, Tuesdays and Thursday.
Jupiter Hora is positively more effective on Sunday, Tuesdays and Thursday.
Mercury Hora is positively more effective on Wednesday, Friday and Saturday.
Venus Hora is positively more effective on Wednesday, Friday and Saturday.
Saturn Hora is positively more effective on Wednesday, Friday and Saturday.
Note 2 :
Sun Hora is detrimental on Saturday and Friday.
Moon Hora is Less effective on Sunday and Saturday.
Mars Hora is detrimental on Saturday and Wednesday.
Mercury Hora is Less effective on Tuesday.
Venus Hora is Less effective on Sunday.
Saturn Hora are is detrimental on Sunday, Monday and Tuesday.
Wednesday, October 3, 2012
HORA Time Table
Each day has 24 Kala Horas, each hour constituting a Hora. Therefore, from the Sunrise, first one hour is being represented by the first Hora, which is always the Lord of the day. Thus on Sunday, the Sun rise starts with Sun Hora, Monday with Moon and so on. Consecutive Kalhoras were ruled by the lord of the respective 6th day. Therefore, the cycle will be in the order Sun, Venus, Mercury, Moon, Saturn, Jupiter and Mars. A Hora Table has been prepared accordingly, presuming the Sun rise at 6'o clock. Depending upon the local Sun rise time, the Hora time needs to be adjusted.
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