Set pair analysis randomness source demonstration device

A set pair analysis and demonstration device technology, which is applied in the field of demonstration devices for set pair analysis randomness sources, can solve problems such as stoppage, large differences, and difficulty for beginners to understand

Active Publication Date: 2013-07-31
诸暨市联系数学研究所
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Most of this theory is still in the theoretical stage. In particular, in the process of mathematics teaching and application promotion, due to its great difference from classical probability theory, especially the analysis of the source of randomness, abstract understanding of this theory has certain limitations. Difficulty, even more difficult for beginners to understand, need to have the corresponding demonstration equipment for intuitive explanation

Method used

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  • Set pair analysis randomness source demonstration device
  • Set pair analysis randomness source demonstration device
  • Set pair analysis randomness source demonstration device

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0025] This embodiment sets the demonstration device for analyzing the source of randomness, combining figure 1 , including an input device 1, a funnel 2, a detection device 3 and a recovery device 4, the funnel 2 is located below the input device 1, and the detection device 3 and the recovery device 4 are both located below the funnel 2, wherein the input device 1 includes a turntable 11 and a drive turntable 11 The rotating drive motor 12, the bottom of the turntable 11 is provided with several small holes 13 with adjustable inner diameters, the drive motor 12 drives the turntable 11 to rotate, the small holes 13 are evenly distributed on the bottom of the turntable 11, and the centers of the small holes 13 are located on the same circumference; 2 is a casing structure, which includes an upper opening 21, a housing with a cavity 23, and a lower opening 26 from top to bottom. The cavity 23 is approximately Y-shaped, and the upper opening 21 is the entrance of the housing cavit...

Embodiment 2

[0032] The setting and working principle of this embodiment are the same as that of Embodiment 1, the difference is that:

[0033] During the experiment, the ball used in the test is a two-color ball with half white and half black, and the recovery device 4 is a plate with holes (the diameter of the hole is the same as that of the ball) and a ball holding plate (the structure of the ball holding plate is the same as or similar to that of the turntable 11. Not marked in the accompanying drawings of the present invention). The falling balls in the funnel 2 fall into the ball holding plate, and after they are free to rest, cover the top of the balls with a hole plate that can just expose half of the spherical surface, and then observe and count the spherical surface above the hole plate ( hemisphere) color.

[0034] Use E to mean "the half of the sphere you see is exactly white", use G to mean "the half of the sphere you see is exactly black"; use F to mean that the half sphere ...

Embodiment 3

[0037] The setting and working principle of Embodiment 3 and Embodiment 1 are basically the same, the difference is:

[0038] The lower opening 26 of the funnel 2 is provided with a pumping plate 27 that opens the lower opening 26 (the maximum thickness of the pumping plate 27 does not affect the work of the test device 3). plate 27, the pellets can only accumulate in the cavity 23 of the funnel 2. During the experiment, the numbers "0, 1, 2, 3, 4, 5, 6, 7, 8, 9" are marked on the surface of the balls used in the test, and after the falling balls in the funnel 2 fall into the cavity 23, Pull out the pumping plate 27 at the lower opening 26 to make the ball drop, and observe the number on one falling ball in turn, which is a one-digit random number; observe the numbers on two consecutive falling balls in turn, and the number is two digits. Random numbers (except 0 in front), observe the numbers on three balls falling continuously in turn, the number is a three-digit random num...

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Abstract

The invention discloses a set pair analysis randomness source demonstration device and belongs to the technical field of a probability statistics demonstration instrument. The device comprises an input device, a funnel and a detection device, wherein the funnel is arranged between the input device and the detection device; the detection device is positioned below the funnel; the input device comprises a rotating disc and a driving motor for driving the rotating disc to rotate; a plurality of small holes with adjustable inner diameter are formed in the bottom of the rotating disc; the driving motor drives the rotating disc to rotate; the round centers of the small holes are positioned on the same circumference; the funnel comprises an upper opening, a shell with a cavity and a lower opening sequentially from top to bottom; the cavity is similar to a Y shape; and the upper opening is aligned with the small holes. The device is simple and easy to understand, relatively intuitively integrates set pair analysis theory into the device, and can be applied to occasions such as education demonstration, intelligence test, games for children, science popularization observation and random lottery.

Description

technical field [0001] The invention relates to a demonstration device for set-pair analysis of randomness sources, belonging to the technical field of probability statistics demonstration instruments. Background technique [0002] The objective world is a unity of opposites between certainty and uncertainty. The classic theory of mathematical description and analysis of uncertainty is probability theory, but the classical probability theory has always defined the nature of things that may or may not appear under certain conditions as Randomness, this theory simplifies the objective world and simply divides it into yes and no. Therefore, although the theory is mature, there will be inevitable estimation errors and other deficiencies in the actual application process. [0003] A set pair is a basic unit composed of two sets with a certain connection, and it is also the most basic concept in set pair analysis and connection mathematics. It was formally proposed by Zhao Keqin i...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G09B23/02
Inventor 赵森烽赵克勤
Owner 诸暨市联系数学研究所
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