Hyper Algebra, Trends, & IRA Management

Spiral of Theodorus.

It is a Diagonal matrix. Diagonal elements replaced by fund prices

m-Vectors Algebra, and Hyper Algebra

Vector Length and Directions

Vector length = SSS

Directions expressed by Standardization; Cosine values. Two vectors correlation

Hyper algebra and real algebra,

point in axis, identities in m-space, m-space and n-space, R-Analysis, Q-Analysis

1=1, 2=2, 3=3 , (1,2,3)~(10,20,30), Directions are the essential of Systems, instead of magnitude

Hyper algebra and Statistics, 

average and centroids, scalar sum and SSS, Centralization and moving average

Percentage and hyper percentage (cosine).

Definition of Trends= present cosine / previous cosine,

Calculation formula: % of Funds/% of Market. It shows the trends, up or down. Expectation is one.

Second Order Trend:

Present trend / Previous  trend. The product of two ends over the squared middle, showing the turning, concave or convex.

Inertia , linearity in the neighborhood

Moving averages and Average Random Investment,

SPY graph, there are trends behind the fluctuations, time interval.

Application on stock market,  

Investment club. Chosen thirty Fidelity funds. Investment Club.

System prediction and error control. And a case from Italy.