CN202067427U

CN202067427U - Planar demonstrator for Goldbach conjecture

Info

Publication number: CN202067427U
Application number: CN2011201241577U
Authority: CN
Inventors: 李中平
Original assignee: Individual
Current assignee: Individual
Priority date: 2011-04-25
Filing date: 2011-04-25
Publication date: 2011-12-07
Anticipated expiration: 2021-04-25

Abstract

The utility model discloses a planar demonstrator for Goldbach conjecture, which is characterized by comprising a base plate, a cover plate and odd number difference removing rulers. The base plate and the cover plate are made of transparent organic glass, the upper surface of the base plate and the lower surface of the cover plate are printed with forms which have completely identical specifications, and the base plate and the cover plate are reverse at opposite directions and are at the same direction when viewed from the top. The base plate is provided with five or more than five sliding grooves, one odd number difference removing ruler which slides back and forth in the sliding groove is arranged in each sliding groove, the odd number difference removing rulers are rectangular calibrated scales, the upper surface of the calibrated scale is provided with a plurality of dividing lines, and an odd number is arranged between every two dividing lines. The planar demonstrator for the Goldbach conjecture is convenient to operate and obvious in using effect and can intuitively demonstrate the Goldbach conjecture.

Description

Goldbach's Conjecture plane demonstration device

Technical field

The utility model relates to a kind of mathematical education instrument, particularly relates to a kind of Goldbach's Conjecture's of demonstration mathematical education instrument.

Background technology

At present, do not have a kind of instrument that can demonstrate the Goldbach's Conjecture both at home and abroad, do not show the method that the Goldbach's Conjecture sets up yet.

Summary of the invention

The purpose of this utility model is to provide a kind of operation of being convenient to, and result of use is obvious, can demonstrate Goldbach's Conjecture's Goldbach's Conjecture plane demonstration device.

The technical solution adopted in the utility model is: a kind of Goldbach's Conjecture plane demonstration device, it is characterized in that: by base plate, cover plate, odd number moves poor chi and forms, base plate, cover plate is made with transparent organic glass, the upper surface of base plate and the identical form of the lower surface of cover plate printing specification, opposite relatively, overlook in the same way, at the sliding tray that has on the base plate more than 5 or 5, there is an odd number that in sliding tray, slidably reciprocates to move poor chi in every sliding tray, it is a rectangle rule that described odd number moves poor chi, upper surface has some separatrix, between per two separatrix an odd number is arranged.

The utility model is convenient to operation, and result of use is obvious, can demonstrate the Goldbach's Conjecture very intuitively.

Description of drawings

Fig. 1 is a structural drawing of the present utility model;

Fig. 2 is the structural drawing that the utility model odd number moves poor chi;

Fig. 3 is the structural drawing of the utility model base plate;

Fig. 4 is the utility model structure of cover plate figure;

Fig. 5 is a demonstration graph of the present utility model.

Embodiment

The utility model is described in further detail with embodiment with reference to the accompanying drawings below:

As can be seen from Figure 1, the utility model Goldbach's Conjecture plane demonstration device, by base plate 1, cover plate 2, odd number moves poor chi 3 and forms, base plate, cover plate all is to make with transparent organic glass, (plate upper surface is a forward for the upper surface of base plate and the identical form of the lower surface of cover plate printing specification, the cover plate lower surface is reverse, overlook in the same way), in the form of base plate, cut out the space that the slip chi slides into or withdraws from then, corresponding form line coincidence on remaining part and the cover plate, at the sliding tray that has on the base plate more than 5 or 5, base plate, use bolt for four jiaos of cover plate, have an odd number that in sliding tray, slidably reciprocates to move poor chi in every sliding tray.

As can be seen from Figure 2, it is a rectangle rule that odd number moves poor chi, with the rule manufacture craft of selling on the market roughly the same, upper surface has some separatrix, between per two separatrix an odd number is arranged, from left end, the odd number of Pai Lieing from small to large, non-prime number is with " * " mark, each odd number moves poor chi right-hand member an aperture, be convenient to overlap odd number and move poor chi with line, in sliding tray, pulling back and forth.

As can be seen from Figure 3, the upper surface gauge outfit of base plate the right the 1st row is printed with large even 4,6,8,10,12 ..., gauge outfit the following the 1st is printd and is brushed with odd prime 3,5,7,11,13,17,19,23 ...; Walking to the N provisional capital from the 2nd has the rectangular parallelepiped groove, just holds odd number and moves poor chi.

As shown in Figure 4, the table that the lower surface printing of cover plate is identical with the plate upper surface size, opposite relatively, overlook identical.

As can be seen from Figure 5, during demonstration, from top to bottom, the 1st odd number attachable mechanical stage is motionless, makes 1 positive even numbers 4 in the row of gauge outfit place the 1st; The 2nd odd number moves poor chi and slides to the right, makes 16, the 3 odd numbers of positive even numbers in the row of gauge outfit place the 1st move poor chi and slides to the right, makes 1 positive even numbers 8 in the 1st row of gauge outfit place; The 4th odd number moves poor chi and slides to the right, makes 1 large even 12 in the row of gauge outfit place the 1st, can draw in the open interval (4, in scope 11+4), large even 6,8,10,12,14 columns respectively have an odd prime Y at least, from the 5th row, continue to move each odd number and move poor chi, make 1 respectively over against the gauge outfit place the 1st the row large even 14,18,20,24,30,32,38,42,44,48,54,60,62,68,72,74,80,84,90, just can be (4, in scope 89+4), promptly in the scope of open interval (4,93), all large even M columns respectively have an odd prime Y at least, make M-X=Y.

The odd number table of primes

From above-mentioned odd number table of primes as can be known the utility model only used the 1st to the 24th odd prime, odd prime in the table is an outwardness, the algorithm of the available Ancient Greek Mathematics Wei Nuogelatuofu of man is obtained, and also can utilize computing machine, and the number of odd prime is extended to infinitely-great scope.

The utility model can prove the Goldbach's Conjecture in the scope of limited positive integer, in all kinds of crowds, popularize the science of mathematics knowledge of this road international mathematics difficult problem of Goldbach's Conjecture, about the teaching difficulty of Goldbach's Conjecture and similar problem thereof, can become middle and primary schools' teaching and movable indispensable instruments used for education and action toy in minimizing senior middle school's " mathematics " course.

The utility model is simple for production, be convenient to design and produce, mechanization production and assembling, easy to use, fault is few, in the use, rupture in groove if odd number moves poor chi, or in the sliding tray impurity is arranged, odd number is moved poor chi blocked, can unscrew nut, take out impurity, change odd number and move poor chi, maintenance and wear well.

Claims

1. Goldbach's Conjecture plane demonstration device, it is characterized in that: move poor chi by base plate, cover plate, odd number and form, base plate, cover plate are made with transparent organic glass, the upper surface of base plate and the identical form of the lower surface of cover plate printing specification, reverse relatively, overlook in the same way, at the sliding tray that has on the base plate more than 5 or 5, there is an odd number that in sliding tray, slidably reciprocates to move poor chi in every sliding tray, it is a rectangle rule that described odd number moves poor chi, upper surface has some separatrix, between per two separatrix an odd number is arranged.

2. Goldbach's Conjecture according to claim 1 plane demonstration device is characterized in that: the right-hand member that described odd number moves poor chi has an aperture.

3. Goldbach's Conjecture according to claim 1 plane demonstration device is characterized in that: use bolt for four jiaos of described base plate, cover plate.