An application program for interactive polynomial operations among values of chemical components has been made up. The program is valid for personal computers run by the BASIC of the Microsoft Company, such as PC-8201, PC-100, PC-9801, and FM-8. The source-program list is given in the appendix of this text.
One of the most characteristic functions of the program is that you can directly input the component names in a form of a numerical expression as if they are variables. For example:
100ZN/ (ZN+PB+CU) .
You will obtain the result of the calculation for each sample you need by this simple operation. You can get also the values of total, mean, and standard deviation of the samples concerned at the end of the list (table 3) .
The second striking feature is that a data-file is able to be created in the following easy ways:
1. In case that a computer has a word-processing function, you make a chemical analysis table with it (table 1) .
2. If the computer has no such functions, you can apply the editor of BASIC. In this case you put a line-number and a REMark sentence, or its symbol “'”, at the head of each line so that you write a table without any restrictions of the BASIC (table 2) .
The data must be saved in the ASCII form in any cases.
The format of a chemical analysis table is:
The 1st line -- Component names which follow a title and a delimiter“: ”.
The 2nd line -- Atomic, or molecular weights, after a title and a delimiter “W: ”. This line can be omitted if not necessary.
The 3rd line to end -- A sample number and a delimiter“: ”, and values for the components.
You can write remarks at any line. It must include the symbol “*”.
The computer picks out samples according to a given range of sample numbers in the course of data-processing. Therefore you should classify your samples previously and put systematic numbers, or codes, for them.

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An automatic data processing system which analyze measured intensities of r-Ray was produced. The system, composed of micro-computer, amplifier, printer and others, are light and compact enough to be carried in a portable case.
Digital data which are converted form analog signals of γ-Ray intensities are input every one sec by computer, and are automatically analyzed.
Specification of A/D converter built-in HC-80 shows as follows.

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SEIS-PC is a BASIC program system for interactive analyzing for seismicity with graphic display by a 16-bit personal computer ; NEC PC-9801 series. The system is composed of 6 programs as followed: 1) seismicity analysis, 2) making the random file of hypocenter catalogue, 3) adding hypocenters to the random file, 4) making map-file, 5) printing the parameters of hypocenters, and 6) shoeing the saved screen-image. The program of the seismicity analysis will help researchers to get figures of b-value, magnitude-time, number-time depth-time, space-time, cross-section, e.t.c..

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Processing system for total geomagnetic data measured at sea using digital computer is developed. This system is intend to analyze the seamount geomagnetic anomaly. Developed system can be classified into following four stages; (1) Calculation of total geomagnetic anomaly and drawing of profile. (2) Drawings of total geomagnetic force map, total geomagnetic anomaly map, bathymetric chart and perspective projection map. (3) Analysis of two-dimensional data and drawing of its figure. (4) Analysis of three-dimensional data and draw of its figure.
The developed contents of this processing system are described in this paper. An example of result applied this system to the analysis of total geomagnetic data measured at seamount is also shown.

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In this paper, we presented the principle and the BASIC program for raving contour maps on the screen of a personal computer based on given grid data. The main part of contouring is done in a subroutine *CONTOUR except for the input of grid data and the specification of th mapping area on the screen. So, the subroutine can be used in other programs as the basic module for illustrating the calculated results by contour maps.

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In this paper, we presented the principle and the BASIC program for drawing contours for any function defined on a spherical surface, on the stereographic nets (the Schmidt's and the Wulff's nets), using a personal computer, as a special application of the subroutine *CONTOUR (Shiono et al., 1985) for contouring of grid data.

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In this paper, we presented the principle and the BASIC program forconverting irregularly spaced data to grid data by means of the weightedlinear interpolation method (a method to find a local linear trendsurface at each grid point) . The converted grid data are contoured onthe screen of a personal computer using the subroutine *CONTOUR (Shiono et al., 1985a) .

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In this paper, we presented the principle and the BASIC program for converting irregularly spaced data to grid data, based on the Briggs (1974) 's principle of total minimum curvature (a method to find the surface which contains data points and has the minimum total curvature) . The converted grid data are contoured on the screen of a personal computer us i ng the subroutine *CONTOUR (Shiono et al., 1985a) .

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A Generalized inverse theory is applied to a multivariate smooth fitting for irregularly spaced data. A smoothing function is expanded with cubic B-spline basis with equally spaced dense knots. Their coefficients are obtained by a least squares procedure using the a priori ioforrnation that the first and the second derivatives of the function are everywhere zero Plus random errors. The method is also regarded as an FEM approximation of a lateral deformation of an elastic bar or plate which is under tension and is pulled to data points by springs.

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In this paper, we discussed the method of data processing for geological data obtained by sampling along the survey lines. Because density of sampling is not isotropic for the types of data, it is difficult to convert them to grid data which represent the original geological structure reasonably. In order to resolve the problem, the method of the weighted least square interpolation in the FORTRAN subroutine PELTO (Shiono, 1982) were modified so that the weight has directivity. Moreover, we presented a method for mapping the reliability of the converted grid data in order to evaluate the calculated results.

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In this paper, we presented the principle and the BASIC program for the numerical estimation of the dip-strike of a bed at any point from dip-strike data obtained at irregularly spaced outcrops (observation points) . In order to represent numerically the attitude of the bed, we defined a new term of “a normal vector of abed” (an unit vector which is normal to the bedding plane and is oriented in the direction of the geologically upper side of the bed) . The dip-strike is calculated here from the weighted average of the normal vectors of beds at observation points. The presented program estimates dip-strikes at grid points and displayed them on the screen of a personal computer as the strike-line map.

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In this paper, we presented the principle and the BASIC program for numerical estimation of the apparent dips of bedding plapes ors an inclined surface (geological section) from dip-strike data obtained at irregularly spaced observation points (outcrops) . The presented program calculates apparellt dips on the sectional surface, which may be inclined at any angle, along the crossing line between the sectional surface and the horizontal Plane. The estimated apparent dips will be used as input data for Shiono et al. (1984a, b, c) 's programs in order to reconstract numerically the folding structure in the geological section.

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In this paper, we tried to analyze numerically the geological structures in the northern Honjyo Area, Akita Prefecture, using methods presented by Ohmae et al. (1985a, b) as follows: (1) we collected 377 dip-strike data from the northern part of the geological map of the Honjyo Area (1: 50, 000) published by the Geological Survey of Japan, (2) converted them to the normal vectors of beds, (3) estimated the dip-strikes at grid points by the weighted averages of the normal vectores to show the areal folding structure as the strike-line maps, and (4) estimated apparent dips at 153 points of 100 m interval to draw three kinds of geological sections using Shiono et al. (1984a, b, c) 's programs. The results were compared with the folding structure and the geological section shown in the original geological map to evaluate the methods used for numerical geological data processing.

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