SU78642A1 - A device for calculating the sums contained in the expressions for arithmetic means, variances and mixed moment - Google Patents

Description

In existing counting maschines (an adding machine, a summing machine), the calculation of the 2D Iixf, 2g, and Zxyf sums contained in the expressions of arithmetic average henna, Oh and Oy variances and the Ok-time of the correlation table can only be done separately from each other. with repeated submission to the data machine.

In the proposed device, it is possible to simultaneously calculate these sums due to the combination of a summing device, consisting of two moving one relative to the other limbs, with roller-type friction mechanisms.

FIG. 1 shows a top view of the device; in fig. 2 - front view of the device.

The device consists of a cylindrical body 1 with a scale L, and a movable inner limb 2 with a scale Lj.

On the traverse of the inner limb, OX and OU scales are applied with a common zero in the center of rotation of O. Sliders 3 and 4 with indexes on them move along the traverse. Ears are attached to the sliders on one side, and friction rollers 5 and 5 are mounted on them on the other side. The axes of the latter are parallel to the traverse and the planes of the ends of the rollers pass through points A and B of the ears. Sliders 3 n 4 pivotally interconnected by means of rods 7 and 9 of the same length. The center of rotation O is pivotally connected to point C with equal length 9 rods and} 0. The rods 7, 8 and 9 carry friction rollers P, 12 and 13. All rollers are frictionally coupled to the bottom of the housing. Uniform scales are applied to the rims of the rollers, allowing you to count the angles of rotation of the rollers. In addition, the rollers are equipped with revolution counters (not shown in the figures). On the LI and / -2 scales around the axis O, the reticle 14 can move.

No. 78642-2 at the beginning of the calculation, dial 2 rotates until its zero coincides with the zero of the scale L. To turn dial 2 on the / i delky and mark this number on the scale L, set the sighting index 14 on the matching divisions as a term. i of the Lj and LS scales, fix the slider on the body and rotate the limb 2 until it coincides with the viewfinder index. The index will mark on the scale the first term / i. Then, setting the index on the division of / 2 ajals of LZ and fixing the slider on the body, rotate the limb 2 until its zero coincides with the index. In this case, the index marks on the LI scale the sum of the turns / 1 and / 2When the next turn of the limb is 2 in / 3 divisions, the index marks on the Lj scale the sum of / i + / g –f fs, etc.

The calculation of the arithmetic mean and variance of the variational relay is performed as follows.

Let a variational series be given:

Options: KZ KZ, x .. Xn

Frequencies / 2, / 3 -. - fn

The calculation of the arithmetic average and variances of this series is performed on the instrument as follows.

The index of the slider 4 is set on some division of the OO of the scale of the OS, and the limb 2 is turned to the zero of the scale 2 with the zero of the scale Lj. Then the index of the slider 3 is set to division 1 of the OX scale, the rollers 5 VL 11 are turned to the zero position (or their readings are recorded), and the limb 2 is turned by / j divisions, after which the index of the slider 3 is set to division x, and the limb 2 is turned by / g divisions, etc.

After performing these operations, the number of revolutions of the roller 5 - L / W and the reading of the scale LI-N are counted n times. Speed

the roller is multiplied by the constant P and divided by the reading N.

The arithmetic average is equal to

To calculate the variance, the index of the slider 3 is set to division Xi, and limb 2 is reset.

Next, the index of the slider 3 is set to division Xi, after which the number of revolutions of the roller is counted. This number is multiplied by the constant Rc and is divided by the previous reading of the scale Li. From here

. Calculation of arithmetic means, variances and mixed

the moment of the two signs is produced as follows.

Let a correlation table be given.

Variants of the attribute x: Xi, x, x ... Xn

Variants of a sign at: at, at. Uz Up

Frequencies: / s / 2, / s ... / p.

The calculation of arithmetic averages x and y, o and 3y variances, and oxu mixed momentum is similar to the previous one, with the only difference being that with each step, except for slider 3 (for Xi), slider 4 (for g / g).

In this case:

P, N

H

about..

2 P, .N ,, + P, .N,

but,

Subject invention

A device for calculating the sums contained in the expressions of arithmetic means, variances and mixed moment, consisting of friction roller multiplying mechanisms and a circular summing device, characterized in that, in order to simultaneously calculate the amounts sought, the friction rollers are placed on the sides of the hinge polygon unit with the internal limb of the circular counting device.

- 3 - # 78642

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L, + I „G„

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FIG. 2