CC BY
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Секция 6. Медицина
1 2 3 4 5 6 7 8 9
49 9/1 6 9 15 B*2 {d — 1VB 5 type days [F2 - IG8] = -4
50 10/2 5 8 13 e} -2 2F
51 1/3 9 7 16 C4 {a +3 3P
52 2/4 8 6 14 b -2 4GI
53 3/5 7 5 12 c -2 5E
54 4/6 6 4 10 d} -2 6RP
55 5/7 5 9 14 B*1 {e} +4 7C
56 6/8 9 8 17 C5 {a +3 8IG
57 7/9 8 7 15 b -2 9V
588/10 7 6 13 c -2 10R
599/11 6 5 11 d -2 11MC
6010/12 5 4 9 e} -2 12TR
Reference:
1. Осенний С. А. Новые способы расчета чудесных меридианов. Журнал «Традиционная медицина», № 1 [32] -Москва. - 2013 - c. 26-32.
2. Цзичжоу Ян. Чжэнь цзю да чэн (Большие достижения чжэнь-цзю). Перевод с китайского Виногродско-го Б. Б. - М.: П. Стайл - 2003. - 445 с.
3. Стахов А. П. и соавт. Код да Винчи и ряды Фибоначчи. - СПб.: Питер, - 2007. - 320 с.
4. Урманцев Ю. А. Симметрия природы и природа симметрии (философские и естественнонаучные аспекты). - М.: Издательство «Мысль», - 1974. - 229 с.
5. Советский энциклопедический словарь./Научно-редакционный совет: А. М. Прохоров. Изд-во советская энциклопедия. - М.; - 1981. - 1600 с. с илл.
6. Сороко Э. М. Структурная гармония систем./Под ред. Е. М. Бабосова. Минск, «Наука и техника», 1984 - 264 с.
7. Иванов В. В. Чет и нечет: Асимметрия мозга и знаковых систем. - М.; Сов.радио. - 1978. - 184 с.
8. Уоррен Фрэнк Медицинская акупунктура. Пер. с англ. Киев: Вища школа. Головное издательство, - 1981. - 224 с.
9. Мериэль П. Предисловие к Ж. С. Де Моран Китайская акупунктура, т. 1. Классифицированная и уточненная китайская традиция. М.: Издательский Дом «Профит Стайл», - 2005. - 536 с.
10. Сыч Н. Н. Числа, символы, зарядовые знаки «чжоу и» в современной науке о человеке. Журнал «Рефлексотерапия» № 4 (7) - Москва. - 2003 - с. 36-40.
11. Ионичевский В. А., Славин С. З. Хрономедицина Древнего китая. Владивосток: Дальнаука, - 2001. - 120 с.
12. Цзин-ло: Клинико-энергетическая характеристика канальной системы/О. Г. Коган, Е. Г. Гутман, О. В. Кузнецова, Ван Вайчэн. - Новосибирск: ВО «Наука». Сибирская издательская фирма, - 1993. - 216 с.
Osennij Sergey Alekcevich, Sanatorium RZD «Vostok», Novosibirsk, Russia E-mail: [email protected]
New methods of calculating the open pointskeys of extraordinary channels
Abstract: In article new ways of calculation of opening of the points keys, the roles of numbers of N based on the analysis of «heavenly stems” and «earthly branches» binomials hours and days are presented. The differentiated approach to a six-ten-day cycle on the basis of the allocated five types of days and as some properties of types of days are given locates. Mathematical communication of new ways of calculation of codes among themselves and with traditional way that confirms idea about unity of described processes is given.
Keywords: traditional Chinese medicine, reflexotherapy, acupuncture, extraordinary channels, poinst- keys.
Introduction. This article presents two new and Extraordinary Channels (EC). Both methods are math-reasonable methods for calculating codes of opened ematically related to each other and with the traditional
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Section 6. Medical science
method described by YangJizhou in 1601 [1, 149-150], which speaks about the unity of the described phenomena. New methods for calculating EC codes are connected with the notion types of days, which is introduced and justified in our work.
Materials and methods. In the basis of the traditional ideas of ancient China about cyclic processes lies the concept of binominals, which are binary way of expressing the recurring series of numbers from one to sixty, and are expressed as a combination of two numbers. The first numbers in the binomial represent one of ten “heavenly stems” (hs), the second — one of twelve “earthly branches” (eb). The activity of extraordinary channel appears as the opening pointskeys of these meridians and is cyclical, which can be calculated by the definitions of N, corresponding to the “heavenly stems” and “earthly branches” binomials days and hours, described by Yang Jizhou [1, 149]. Number N of «heavenly stems” binomials days (N hsd) and “earthly branches” binomials days (N ebd), which range from 10 to 7, in the sum are the coefficients of days (CD). Number N of «heavenly stems” binomials hours (Nhsh) with a range from 9 to 5 and the number N of «earthly branches” binomials hours (Nebh) with a range from 9 to 4 in the sum are the coefficients of hours (CH). In the literature, these coefficients are described as “coefficients of B days » and «coefficients of C hours » [2, 397-398; 3, 79-80]. To calculate the EC code through the traditional way one need from the sum Nhsd +Nebd + Nhsh+ Nebh subtract from 1 to 4 nines for odd-numbered days and from 2 to 5 sixes for even-numbered days. The result should match the range numbers from 1 to 9 or 1 to 6, depending on the parity of the day [1, 150]:
Code EC= Nhsd +Nebd + Nhsh+ Nebh - 9 * n (for odd- numbered days), (1a)
Code EC= Nhsd +Nebd + Nhsh+ Nebh - 6 * n (for even- numbered days). (1b)
In traditional Chinese sources codes are identified as the remainders of EC, «according to the obtained remainder, ... [corresponded to] figure of the day and the hour ... you have already known exactly what the point [key] is opened and at what time» [1, 150]. Researchers use the terms code and remainder [3, 79-80; 2, 397-398], and use a different formula for calculating the code EC: the sum of day B coefficient and hour C coefficient is divided into K coefficient equal to 9 or 6, depending on the parity of the day, in the result there is a «remainder of division» [2, 397; 3,80]. Leading the calculations with the help of proposed methods,
the values of EC remainder can match codes diapason: for odd- days 1 to 9, for even- days to 1 to 6-is the properly codes EC. In the case of over-range codes EC are called EC remainders. In this article, the calculation using new methods saves both terms: the remainder and the EC code and in the new calculation formula of the code (remainder) EC. If the value of EC remainder differs from of EC code, then it is necessary to add or to subtract from it nine or six, depending on the parity of the day.
Research results
1. Method of calculating the open points- keys codes EC on daily dynamics numbers N of “heavenly stems” binomials hours (Nhsh) and correction coefficient days CCD (Д)
Based on the formulas (1a, 1b), codes of opened EC can be defined as derivatives of the four variables of numbers N: Nhsd, Nebd, Nhsh and Nebh (range of changing each of the numbers are given above), the corresponding to heavenly stems and earthly branches binomials of days and hours.
When evaluating the different lengths of time, the dynamics of each parameter is varied. Thus, the number of N days (Nhsd and Nebd) throughout the day remains unchanged. In contrast to these figures, the number of N hours (Nhsh and Nebh), change with each passing hour of sixty hour cycle. However, different cycle times and numbers Nhsh end Nebh leads to the fact that they are distributed in different ways throughout the day. Thus, the number of Nebh, beginning in hour Zi (hr Zi) (23-01), complete its cycle in hr Ssu (09-11) and are repeated from hr U (11-13) to hr Hay (21-23). Thus, the numbers Nebh divide the day into equal halves is the same for all days of the sixty-day cycle. Numbers Nhsh begin in hr Zi (23-01) of the first day of sixty-hour cycle. At the end of the day the numbers do not complete cycles, and pass on the next day, and so they go through the whole cycle of sixty-hour, ending only in the hr Hay (21-23) of the fifth day.
In connection with this, the distribution of numbers Nhsh is individual for each day of five-day or sixty-hour cycles. Thus, within sixty-hour cycle, only numbers Nhsh have distribution for each day, which is comparable to the distribution of codes EC. To clarify the role of numbers in the formation of codes Nhsh EC, the model diagram of the indicators for the sixty-day cycle was built. A fragment of the diagram is shown in Figure 1 in the row number 4.
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Секция 6. Медицина
Fig. 1. Model calculation codes (remainder) extraordinary channels by the numbers N hsh and correction coefficient days CCD (A) in the daily dynamics
The lines connecting the numbers Nhsh decreases with the step increments -1 from 9 to 5 and then repeated. The lines connecting the EC code in fragments, indicating time intervals (1-4, 7-10, 13-15, 16-17, 21-23 hours), have a decrease in steps — 2. Tending to decrease, some lines of EC codes, with its follow-up, after a minimum values of1 or 2, tend to the values of -1 or 0, depending on the parity of code EC in these fragments. For example, in the first day, in the time interval from an hr Zi to an hr Mao, code values EC will be 8-6-4-2. In the process of extrapolation of EC codes lines of this fragments to EC hr Cheng (5th hour) code should be equal to 0, in this case we need to add 9.
For fragments codes EC, presented in the second day: in hr ssu (code EC = 0 + 6 = 6) and in hr Hay (code EC = -1 +6 = 5). In all three cases, the codes EC obtained by extrapolation code fragments EC, which decreases linearly with step-2 and tends to 0 or -1 in its continuation — the values ofobtained codes EC correspond to traditional calculations. Composition of codes and EC remainders for the remaining days of the 60-day cycle is similar. Diagrams of EC codes (remainder), may be obtained in the same way if during the whole day from the sum Nhsd + Nebd + Nhsh + Nebh subtract a constant (9*n or 6*n), equal to that required to obtain the code EC in hr Zi. This allows to identify the natural connection between the EC codes (remainder) and numbers Nhsh, which enables a new way to mathematically prove the calculation codes (remainder) of opened EC points-keys. In analyzing the
relationship between numbers Nhsh and EC codes (remainder) we can highlight some features.
Firstly, the difference between the numbers Nhsh and EC codes (remainder) in the periods from hr Zi to hr Ssu and from hr U to hr Hay, linearly increase by one with each subsequent time period. Secondly, the difference between the number of Nhsh and EC codes (remainder) per hr Zi are equal for each day of the 60-day cycle. Thirdly, the EC codes (remainder), built in the form of a diagram for the day belong to one of the five selected types of days (see below).
Figure 1 shows the EC codes (remainder) of the first and the second days of the sixty-day cycle, representing the first and second type of days. Figures 2 and 3 shows the EC codes (remainder) of all five types of days (see Fig. 2, Fig. 3). The difference between Nhsh and the EC remainders for hr Zi and hr U days is named as Correction coefficient days CCD (A). The code of opened EC, designed by a new way, will be equal:
Code (rem) EC = Nhsh - Aeb, (2)
where Nhsh — number N «heavenly stems» hours, Aeb — correction factor of the day CCD (Д), endured circadian dynamics tended to increase by one unit in the periods from hr Zi to hr Ssu, and from hr U to hr Hay. If the remainder EC <1 or> 9 (6 for even days), then we should add or take away from it 9 or 6, depending on the parity of the day. Table 1 lists all of the CCD (Д), their connection with the coefficients days CD, and also shows the distribution of CCD (Д) by type of days. Taken into
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account the fact that during the day the CCD (Д) increases linearly, starting from the initial value a1 (hr Zi, hr U) = Д, to the value of a6 (hr Ssu, hr Hay) = Д +5, daily dynamics Дeb will be expressed by the formula: Дeb = Д + n-1. (3)
This numerical sequence is known as positive or increasing arithmetic progression, progression having difference d = 1 (increasing character arithmetic progression is determined by the condition d> 0), where n-number of members of the progression. Any member of the arithmetic progression an (Д change in the hours of the day) is the sum of the first term (a1 = Д) and the product of the difference of the arithmetic progression (d = 1) to the number of members that precedes the (n-1) [4, 277]: an = a1 + (n-1) * d, where n — serial number of hour in periods from hr Zi to hr Ssu and from hr U to hr Hay.
Code (rem)EC = Nhsh - (Д + n - 1). (4)
Algorithm for calculating EC code (remainder) by the proposed method involves the following steps:
1) determination of the day in the 60-day cycle;
2) the determination of an hour in 60-hour cycle or its binomial;
3) determination or the number Nhsh according to the binomial hours;
4) determination CCD (Д) in Table 1 at a daily dynamics ^eb);
5) Code (remainder) EC = Nhsh - Дeb.
If the 1>remainder EC >9 (or 6 for the even days), then to the result should be added to or taken away from him 9 or 6, depending on the parity of the day. If the remainder is equal to EC range from 1 to 9 for odd days and 1 to 6 for the even days, it is the code of the EC. The calculation of the CCD (Д) of the sixty-day cycle is as follows: CCD (Д) = A - 9 (odd days) and CCD (Д) = A - 6 (for even days), where A = 9 * 3 - CD. Of these, 9 * 3 — empirical value obtained by experiment, CD — coefficient of the day. If A> 9 for odd days, or A> 6 for even then the CCD (Д) = A - 9 (or 6). 1 < A < 9 (or < 6 for even days), CCD (Д) is equal to A.
Thus, we get the:
CCD (Д) = 9 * 3 - CD - 9 (for odd-numbered days), (5a) CCD (Д)= 9*3 - CD - 6 (for even- numbered days). (5b)
Types of the days — a concept, introduced in this article, which is based on the features of EC remainders distribution during the 60-hour cycle. For example, EC remainders distribution of the 1st day of each 60-hour or 5-day cycle has one type of diagram. The difference between them is only in the up or down-shift of one chart in relation to other on the ordinate axis. Thus,
the types of days are five different daily EC remainders distributions, arranged in chronological order of the 5-day or 60-hour cycle.
Each type of the days has its own range hours in the 60 - hour cycle, for example for the first type it is 1-12 hours, 13-24 hours for the second type, etc. Also the number ranges Nhsh are the same for each type of day: for the first type of days — from 9 in hr Zi to 8 in hr Hay, and for the second type of day — from 7 in hr Zi to 6 in hr Hay, etc.
“Heavenly Stems” of binomials of one type day refer to the same symbolic of the elements numbers. Thus, for the first type of days “heavenly stems” are 1 and 6, this refers to the element of “Water”. For the second type of days “heavenly stems” are 2 and 7, it refers to the element of “Fire.” For the third type of days “heavenly stems” 3 and 8 refer to the element of “Wood”. For the fourth and the fifth day types “heavenly stems” of binomials days are 4 and 9 (the element “Metal”), and 5 and 10 (the element “Earth”), correspondingly [6, 20,62]. Elements are located in the cosmogonic order [6, 62].
Each type has its own days feature distribution of the EC code (remainder) in the daily opposition. For example, for all days, belonging to the first type, the difference codes (remainders) EC, located in the h Cheng and h Hsu, who are in daily opposition, the opposition or equal to -4. This is reflected in the form of intervals codes (remainders) EC for all five types of days:
[E5 - 11MC] = -4 for 1 type days;
[3P - 9V] = -4 for 2 type days, etc ... (Fig. 3).For all other pairs of codes (remainders) EC, located in the opposite of the daily, the difference will be +1.
2. Method of calculating the open points- keys code EC using coefficients of hours (CH) and the correction coefficients hours (CCH) N
The second method for calculating the opened EC keys-points propose to use the coefficients of hours (CH) and introduced in the article- correction coefficients of hours N. As seen in Figure 2, the oscillation of the coefficients hours CH repeat the course of codes (remainder) EC of five types of days, but it is shifted up to the ordinate axis towards to the course of EC remainders. The magnitude of this bias lends itself to mathematical analysis and is the basis for another method of calculation codes EC. In Figure 2, the first row shows the number Nhsh, in the second row — coefficients hours, in the third row — codes (remainder) the EC, in the fourth row — codes of the EC, resulted by the additional calculations for values of remainder EC < 1 (see Fig. 2).
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Fig. 2. Method of calculating the open points- keys code EC using coefficients hours (CH) and the correction coefficients hours (CCH) N. Symmetry oscillations CH and codes (rem) EC five types of days: 1 and 31 days (type 1), day 27 (type 2), 23 and 53 days (type 3), day 9 (4 type), 5 and 35 days (5 days type). Correction coefficients hours N=10
The Oscillation of coefficients hours CH and codes (remainder) EC have the signs of identity — the dotted lines going through the starting and ending points of the oscillations, and allows to detect the symmetry of graphs and identify the individual components of these processes — the borders of the amplitude attenuation and excitation. The convergence of the dotted lines falls on the twenty-fifth hr Zi and the fifty- fifth hr U (attenuation) and correspond to CH = 14 and EC code = 4, dashed lines divergence begins with the sixth hr Ssu and the thirty-six hr Hay (excitation of oscillation amplitude) and correspond to CH = 13 and EC code = 3. The amount of displacement EC remains downshift towards the CH is constant throughout the day and named as correcting coefficient of hours CCH (N). All correcting coefficient hours N sixty-day cycle are calculated and are shown in Table 2.
Thus, the correction coefficient of N hours allows getting codes (remainders) of opened EC points-keys after subtracting from CH:
Code (rem) EC = CH — N, (6)
where N -correction coefficient hours (CCH). The coefficient calculation is made by the formula:
N = Д +9. (7)
The algorithm for computing the EC code using coefficients hours and hours of correction coefficient N involves the following steps (eg date of January 17 2012., time -9.45):
1) determination of the day (sixty-day cycle)- on 17.01.12.: 14 4X2 [5, 314];
2) determination of the correction coefficient hour N (see Table 2) N = 12;
3) determination of hour in 60-h. c. (see Table 3)- hr ssu, 42 2X6;
4) in Table 3 Nhsh = 8;
5) Nebh = 4, because hr ssu;
6) calculation of code (remainder) EC using formula: Code (remainder) EC = Nhsh +Nebh - N = 8 + 4 - 12 = 0.
Because it even a day, you have to add 6:
Code EC= 0 + 6 = 6.
Developed by the author calculation methods of discovery points- keys of “extraordinary channels" between themselves and with the traditional method have a mathematical relationship.
The traditional calculation of the opening EC pointskeys can be converted as follows:
a) Code EC = CH + [9*3 - Д - 9 (or 6)] - 9 (or 6)*n = = CH+9*3 - Д - 9 (or 6) - 9 (or 6)*n = Nhsh + Nebh -
- Д - 9 = Nhsh - (Д+9 - Nebh) = Nhsh - (Д+n - 1) =
= Nhsh - Дeb, (2)
where n-ordinal number of hr Zi to hr Ssu, and from hr U to hr Hay;
b) Code EC = CH + CD - 9 (6) * n = CH + [9*3 -
- Д - 9 (6)] - 9 (6) * n = CH + [9 * 3 - Д - 9 (6) - 9 (6)*
* n] = CH + [- Д - 9 (6)] = CH - N. (6)
Graphically shows three ways to calculate the activity of EC: Traditional [1, 149-150], and two new ones (see Fig. 3).
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Section 6. Medical science
Fig. 3. Calculation opening points-keys EC traditional and new ways for example 1-5 days sixty-day cycle. Distribution of codes (remainder) EC in daily opposition
In all three cases, the symmetry of the conventional units oscillation (remainder EC, the coefficients hours (CH) and the sum CD + CH), displaced on the ordinate and represent the basis for the different methods of calculation codes EC in relation to each of these values:
1) traditional — from the sum CH + CD one should deduct 9*n (or 6*n), the value ofwhich is chosen in such a way that the difference between them, a code EC, to meet the condition 1 < code EC < 9 (or 6), which is reflected in top of Figure 3;
2) calculation code EC using the numbers Nhsh and correction coefficients days (CCD (Д), the daily dynamics undergone by the formula:
code EC = Nhsh - (Д + n - 1) and is illustrated in the lower part of Figure 3;
3) calculation code EC using the coefficients hours (CH) and correction coefficients hours N by the formula
Tables
code EC = CH - N and represented in the middle part of Figure 3.
Discussion and conclusions.
This article describes two new ways of discovering opening points-keys of extraordinary channels in the two-hour intervals, which were the basis for a differentiated approach to the sixty-day cycle. In addition, during the analysis of algorithm of the opening of points- keys revealed a number of laws relating to the features of distribution of codes (remainder) extraordinary channels in accordance with the selected five types of days. Application of these methods for determining open points- keys extraordinary channels can be recommended in the practical work of specialists of traditional acupuncture as alternative canonical method described in [1, 149-150].
Tablel. - Correction coefficient days CCD (Д) 60-d. c.
Odd days and HS binomial of days CCD (A) odd CD CCD (A) even Even days and HS binomials o: : days.
1 3 5 7 9 2 4 6 8 10
13,43 25,55 4 14 7 (1) 18,48 30,60
3 15 19,49 3 15 6 (0) 24,54 28 40
33 45 7, 37 39 2 16 5 12,42 4 58 10
1,31 3 23,53 5,35 27 9 1 17 4 52 34 6,36 8,38 20,50
51 57 29,59 9 (0) 18 3 22 14,44 16
21 17,47 8 19 2 2,32 46
11,41 7 20 7 (1) 26,56
1 3 5 2 4 Types of days 2 4 1 3 5
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Table2. - Correction coefficient of days (CCD) N
Odd days 60-d. c. N odd days A odd days CD A even days N even days Even days 60-d. c.
13,43 25,55 13 4 14 7 (1) 10 (16) 18,48 30,60
3 19,49 15 12 3 15 6 15 28 24,54 40
7,37 33 39 45 11 2 16 5 14 12,42 58 4 10
1,31 27 23,53 9 5,35 10 1 17 4 13 6,36 52 8,38 34 20,50
51 57 29,59 9 9 (0) 18 3 12 16 22 14,44
21 17,47 8 (17) 8 19 2 11 46 2,32
11,41 7 (16) 7 20 1 (7) 16 (10) 26,56
1 2 3 4 5 Types of c ays 1 2 3 4 5
Table 3. - Determining the serial number hour, his binomial and the number N phr 60-day cycle.
60-d. c. a '= от 0 до 5 1VB 23-1 br Zi 2F 1-3 br C1ow 3P 3-5 1r Yin 4GI 5-7 1r Mao 5E 7-9 1r C1eng 6RP 9-11 1r Ssu 7C 11-13 1r U 8IG 13-15 1r Wei 9V 15-17 1r S1en 10R 17-19 1r Yu 11MC 19-21 1r Hsu 12TR 21-23 1rc Hay
a1 a6 1 1/1 2 2/2 3 3/3 4 4/4 5 5/5 6 6/6 7 7/7 8 8/8 9 9/9 10 10/10 11 1/11 12 2/12
N 1 isb 9 8 7 6 5 9 8 7 6 5 9 8
a2 a7 13 3/1 14 4/2 15 5/3 16 6/4 17 7/5 18 8/6 19 9/7 20 10/8 21 1/9 22 2/10 23 3/11 24 4/12
N 1 isb 7 6 5 9 8 7 6 5 9 8 7 6
a3 a8 25 5/1 26 6/2 27 7/3 28 8/4 29 9/5 30 10/6 31 1/7 32 2/8 33 3/9 34 4/10 35 5/11 36 6/12
N 1 isb 5 9 8 7 6 5 9 8 7 6 5 9
a4 a9 37 7/1 38 8/2 39 9/3 40 10/4 41 1/5 42 2/6 43 3/7 44 4/8 45 5/9 46 6/10 47 7/11 48 8/12
N 1 isb 8 7 6 5 9 8 7 6 5 9 8 7
a5 (a+l)0 49 9/1 50 10/2 51 1/3 52 2/4 53 3/5 54 4/6 55 5/7 56 6/8 57 7/9 58 8/10 59 9/11 60 10/12
N 1 isb 6 5 9 8 7 6 5 9 8 7 6 5
Notes: 1 а — The first digit in the 60 days d.ts. (register tens).
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