Classical way of min-crisis-max (mcm-scale) biorhythm construction on the basis of approximation by single sinusoid is quality estimation in the node points which are only four (A, C, E, G) in one period. The attempt of biorhythm construction on the basis of 0%-100% (p-scale) led us to the necessity of defining additional node points (B, D, F, H) and biorhythm construction with multi sinusoid function.

It is necessary to enlarge terminology and add some more definitions. Let's designate:

• F(x) - classical mcm-scale biorhythm function (standard mode - ordinary single sinusoid).
• G(x) - p-scale biorhythms function (enhanced mode - multi sinusoid).
• Additional Node Point (A-point) - the points B, D, F, H. A-points together with the points A, C, E, G divide the period of F(x) in projection on axis X into eight equal intervals.
• B-interval - intervals A-B (b1), B-C (b2), C-D (b3), D-E (b4), E-F (b5), F-G (b6), G-H (b7), H-A (b8). Within of the one B-interval F(x) can increase or decrease.
• From Crisis Direction (FC-direction) - on B-interval F(x) goes FROM crisis node point.
• To Crisis Direction (TC-direction) - on B-interval F(x) goes TO crisis node point.
• Node Point of Float Condition (FC-point) - the point between lowest condition point (in classical theory the lowest condition point is E) and crisis point. We have two FC-point - D and F.
• Interval of Float Condition (FC-interval) - B-interval which contains FC-point. We have four FC-intervals - C-D (b3), D-E (b4), E-F (b5), F-G (b6).
• Interval of Negative Float Condition (N-interval) - FC-interval where F(x) goes FROM FC-point.
• Interval of Positive Float Condition (P-interval) - FC-interval where F(x) goes TO FC-point.
• Vector of Preference (P-vector) - the result vectors to re-construct G(x) from F(x). P-vector is formed on three components:
  - F(x) direction into each B-interval. F(x) can increase [+] or decrease [-]
  - F(x) crisis direction. F(x) may have F-direction [+] or T-direction [-]
  - F(x) float condition. F(x) may have P-interval [+] or N-interval [-]

There is a table of the P-vectors on each B-interval:

B-interval  F(x) direction  F(x) crisis direction  F(x) float condition  P-vector
1           -               -                      n/a                   - decrease
2           -               -                      n/a                   - decrease
3           -               +                      +                     + increase
4           -               +                      -                     - decrease
5           +               -                      +                     + increase
6           +               -                      -                     - decrease
7           +               +                      n/a                   + increase
8           +               +                      n/a                   + increase

The shape of the function G(x) is based on the assumption that quantity estimation depends not only on the closeness to the points A, C, E, G, but on the direction of P-vector in each B-interval.

Consequence: G(x) is asymmetric function.
Behaviour of the G(x) on B-intervals A-B (b1), B-C (b2), C-D (b3), D-E (b4) does not coincide with the behaviour on B-intervals E-F (b5), F-G (b6), G-H (b7), H-A (b8) and can not be described by ordinary single sinusoid. Instead of it the model on the basis of many connected sinusoid (one sinusoid characterises one B-interval) is suggested.

To our regret we can't have lasting observation of person's state so our attempt of biorhythms modelling on the basis of multi sinusoid function is mainly inductive and the proof of correctness of our hypothesis can be received only in many years.





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