69 results about "Mathematical probability" patented technology

The invention relates to the field of mathematics teaching aids, in particular to a mathematical probability teaching simulator and a control system thereof. The simulator comprises a machine body, a coin feeding device and a needle feeding device, wherein the machine body comprises a base plate, supporting legs, a front side plate, an intermediate supporting plate, a rear side plate, a first annulated column and a second annulated column; the coin feeding device and the needle feeding device respectively comprise an object sliding device, an object bounding device, an object pushing device and an object conveying device; each object bounding device comprises an object bounding plate, a rotating plate shaft, an object supporting plate, an object bounding spring, a telescopic airbag, a gas storage tank, a ventilation hose and an air pump; each object conveying device comprises a material falling hopper, a conveying bin, a conveying roller and a conveying belt. The control system of the mathematical probability teaching simulator comprises a programmable logic controller, a sensor unit, an air pressure unit, a servo motor unit and a servo controller. According to the mathematical probability teaching simulator and the control system thereof disclosed by the invention, the requirements of mathematical probability experiments with more experiment times can be met, and students are enabled to visually experience the processes of coin and needle feeding experiments.

The invention discloses a service life estimation method of a light-emitting diode (LED) lamp. LED service life labeled in market is theoretical and is restricted by conditions such as environment and stability of electronic circuit accessories besides self quality. The service life estimation method is based on an LED junction temperature acceleration service life method, is combined with an electrolytic capacitor service life estimation method, is matched with the mathematical probability theory to estimate service life of the whole LED lamp, is scientific and reasonable and provides scientific data theory reference for design of LED lamps with long service life and high performance.

A portable mathematical probability demonstrator comprises a bottom plate, wherein a motor is arranged on the bottom plate; the motor is connected with a rotating rod; the rotating rod is connected with a rotating drum; hollow spheres are arranged inside the rotating drum; a placing plate is arranged above the rotating drum; a through hole is formed in the top of the rotating drum; a vertical tubeis arranged on the placing plate; a suction fan is arranged on the vertical tube; a counting plate is arranged above the placing plate; a horizontal fixing plate is arranged behind the counting plate; a display board is arranged on the fixing plate; grooves are formed in the front side of the display board; cloth strip slots are formed in the bottoms of the grooves; cloth strips are arranged inside the cloth strip slots; the cloth strips are fixedly connected with moving rods; the moving rods are positioned inside the grooves; sliding slots are formed in positions, corresponding to the movingrods, of the two side walls of the grooves; the two ends of the moving rods can move up and down along the corresponding sliding slots; the central positions of the tops of the moving rods are connected to one ends of pull ropes; vertical pull rope slots are formed in the tops of the grooves; the pull ropes can run through the pull rope slots; the other ends of the pull ropes can be positioned onthe upper side of the display board. The portable mathematical probability demonstrator is convenient for a teacher to explain the probability through a histogram conveniently, rapidly and vividly.

The invention belongs to the technical field of mathematics teaching and particularly relates to a teaching optimization method applying mathematical probability events. The method comprises steps that for preparation, two types of balls having the same sizes and materials and different colors are prepared; the balls are disposed into a demonstration device, the demonstration device is fixed to adamping platform, and the control wind speed is controlled and does not exceed 0.05 m/s; a pressure sensor is disposed on a push head of the demonstration device, the push head is pressed, when a pressure value reaches a predetermined value, the push head is released after 3s pause under the pressure force, after the push head is automatically rebounded, after 3s pause, the push head is pressed again; a camera is placed in a laboratory, the camera is connected with a computer, and the computer is connected with projectors of multiple classrooms; the quantity of balls falling into a first collection frame and a second collection frame is separately counted by setting a video counter, and respective probabilities are calculated by the computer; the quantity of balls is changed, the above steps are repeated, and the probability curve is drafted by the computer. The method is advantaged in that multiple sets of experiments can be simultaneously accomplished, teaching efficiency is high, and strong contrast property is achieved.

The invention relates to the technical field of teaching equipment, and discloses auxiliary teaching equipment for a mathematics probability course. The auxiliary teaching equipment comprises a box body, wherein an inclined groove is fixedly installed in the inner wall of the top of the box body; an inlet is fixedly installed in the top of the box body; a recycling chamber is fixedly installed atthe bottom of the box body; a storage chamber is fixedly installed in the bottom of the recycling chamber; and an outlet is fixedly installed in one side of the storage chamber. According to the auxiliary teaching equipment for the mathematics probability course, when a probability statistics operation needs to be carried out, a user inputs a small ball into the inclined groove, the small ball located in the inclined groove falls into the middle area of a blocking edge, and under the action of a stop column, the small ball falls into a groove; and meanwhile, the user can start a hydraulic machine, the hydraulic machine drives a connecting block to move, a pull rope located on one side of the connecting block drives a moving plate to move, the blocking position inside the blocking edge is adjusted, the probability statistics of the small ball is carried out again, and the accuracy of the probability statistics is higher.

The invention belongs to the technical field of mathematics education, particularly relates to probability calculation demonstration equipment for mathematics education, and provides the following scheme for solving the problems that most of traditional mathematics probability demonstration devices are simple in structure and not obvious in demonstration effect: the probability calculation demonstration equipment comprises a shell of which four corners of the outer wall of the bottom are welded with supporting legs; a fixed disc end is welded to the top end of the shell, a gear motor is fixedto one side of the fixed disc end through a bolt, an output shaft of the gear motor is connected with a rotary column through a coupler, the outer wall of one end of the rotary column is in key connection with a rotary disc, a discharging opening is formed in one end of the rotary disc, and a feeding groove is formed in the end, away from the discharging opening, of the rotary disc. According to the invention, the table tennis ball can be randomly bounced to the ball guide cylinders on the two sides through the ball guide platform and the arc top raised line, so that effective probability demonstration processing is achieved; by arranging the guide blocks on the inner walls of the ball guide cylinder,s the table tennis ball can be guided, and therefore it is guaranteed that the table tennis ball vertically falls.

The invention discloses a multifunctional applied mathematics probability event teaching device, which comprises a box body, wherein a sliding groove assembly is arranged in the box body, the sliding groove assembly is composed of sliding groove units, each sliding groove unit comprises a first sliding groove and a second sliding groove, the first sliding grooves which are in butt joint in sequence form a first sliding way, the second sliding grooves which are in butt joint in sequence form a second sliding way, the side wall of the box body is provided with a first notch, an automatic marble device is arranged at the outer end of the first notch, a first rolling ball is arranged in the first sliding way, a second notch is formed in the end, which corresponds to the second sliding way, of the side wall of the box body, a manual marble device is arranged at the outer end of the second notch, a second rolling ball is arranged in the second sliding way, and a detachable shielding plate is arranged on the upper side of the first sliding way. According to the invention, the occurrence probability of events of some scenes can be simulated, the automatic marble device can realize reciprocating rolling of the first rolling ball in the first sliding way, a user can launch the second rolling ball from one end of the second sliding way to slide along the direction of the second sliding way by manually moving the marble device, and the user can better experience the relationship between the collision probability and the related variables through multiple operations.

The invention belongs to the field of teaching aids, and particularly relates to a mathematical probability bar-shaped statistical graph demonstration device. The device comprises a box body, and a storage groove is formed in the box body; a tooth groove is formed in the upper end of the box body, a magnet block is attracted in the tooth groove, a handle is fixedly connected to the left end of thebox body, a box cover is installed at the bottom of the box body, elastic pieces are fixedly connected to the upper end of the box cover, clamping blocks are arranged on the surfaces of the elastic pieces, and supporting strips are fixedly connected to the upper ends of the magnet blocks. The number is expressed by designing a strip-shaped structure composed of the magnet blocks, the supporting strips, the adjusting sleeves and the fastening nails, rubber bands are installed on the symmetrically-distributed supporting columns and used for constructing measurement, the number represented by the bar chart is conveniently adjusted, use is convenient and visual, tooth grooves are designed in the box body, the magnet blocks can be placed in the different tooth grooves, adjustment can be conveniently conducted according to needs, the structure is simple, applicability is good, the manufacturing cost is low, and the device is suitable for wide popularization.

The invention relates to a chromatographic method for producing trace impurities in products of stable isotopes of <22>Ne and <20>Ne with a thermal diffusion method and is characterized by realizing the once detection of the gas purity of stable isotopes of <22>Ne and <20>Ne with a gas chromatographic method by applying the mathematical probability theory of key component analysis and adopting a three point generalization method while combining the real separation conditions of isotopes. The method indirectly realizes the analysis on the chemical purity of the <22>Ne and <20>Ne by detecting the contents of oxygen, nitrogen and hydrogen in the gas of the products of <22>Ne and <20>Ne. The method has the gas detection sensitivity as high as 99.99% towards the gas purity of the isotope products of high-purity <22>Ne and <20>Ne. The detection sensitivity of the method towards the impurities in the products of H2, O2 and N2 reaches the grades from 3 to 20ppm and the injection volume reaches 0.5 to 1.2ml and also the invention is good in reproducibility, fast in speed, simple and convenient in method and can be easily applied to the production quality control of the stable isotopes of <22>Ne and <20>Ne and the analysis of working gas component of the laser gyro preparation process.

The invention discloses a probability demonstration teaching aid for mathematics teaching, and relates to the field of teaching demonstration. Aiming at the problem that the existing mathematics probability teaching demonstration is not perfect enough and affects the teaching quality, the following scheme is proposed: the probability demonstration teaching aid comprises a demonstration box, wherein the demonstration box is arranged in a two-section manner; the upper section of the demonstration box is arranged in a semicircular shape; the lower section of the demonstration box is arranged in arectangular shape; the bottom end of the demonstration box is fixedly connected with supporting legs; the demonstration box is internally fixedly provided with a vertical first partition plate; the demonstration box is provided with a throwing chamber and a first statistical chamber at two sides of the partition plate; the side wall of the demonstration box is provided with a throwing hole; and the throwing hole is arranged close to one side of the throwing chamber. The probability demonstration teaching aid is novel in structure, can enable the teaching demonstration to be more efficient compared with the traditional manual coin throwing mathematics probability demonstration device, facilitates the statistical operation of coins on different surfaces after throwing, and effectively improves the teaching quality.

The invention discloses a demonstration device for a discrete mathematical probability experiment and belongs to the technical field of teaching experiment aided equipment. A ball passing hole is formed in a bottom plate of a box body; a ball baffle is arranged on the bottom plate of the box body in a sliding manner; a telescopic collection box is connected to the bottom plate of the box body in asliding manner; a moving device is fixed at the lower end of the box body; a stirring mechanism is fixed in the box body; a ball pushing device is fixed in the box body; the box body is fixedly connected with a preliminary mixing tank; multiple ball inlet turning plates are mounted in the preliminary mixing tank by virtue of a turning plate control mechanism; the turning plate control mechanism is fixed on the box body; a rear side plate of the box body is hinged onto the preliminary mixing tank by virtue of a hinge; a transverse rod is fixed on a rear side plate of the box body and connectedwith a ball outlet plate control mechanism; and the ball outlet plate control mechanism is fixed on the box body. The demonstration device disclosed by the invention is intuitive and can be continuously operated, so that the students are easy to understand, and the learning efficiency is improved. Meanwhile, the demonstration balls are fully discrete and are mixed, the accuracy of a probability event is ensured, the demonstration balls are automatically collected after demonstration completion, and time and labor can be saved.

The invention discloses a simulation demonstration teaching aid for mathematical probability statistics, and relates to the technical field of mathematical teaching devices. The simulation demonstration teaching aid comprises a transparent box and iron coins, wherein one side of the bottom in the transparent box is fixedly connected with a transmitting box, a transmitting device is installed in the transmitting box, the middle of the side wall, close to the output end of the transmitting device, of the transmitting box is provided with a transmitting groove, baffles are arranged on two sides of the outer surface of the side wall, a transmitting position is arranged between the two baffles, the iron coins are placed at the transmitting position, the transmitting groove is positioned on oneside of the middle of the iron coins, the iron coins are hit and then fall on a display board and rotate, and a statistic device is installed at the top in the transparent box. According to the invention, after the iron coins are hit by the transmitting device, the iron coins rotate on the display board, and finally the iron coins are changed from a vertical state to a horizontal state, and compared with the phenomenon that the iron coins are overturned and fall, the influence of the immobilization of the transmitting device on the randomness of the iron coin experiment is avoided, thereby making the experiment more convincing.

The invention relates to the technical field of probability demonstration, and discloses an advanced mathematics probability demonstration device, which comprises a transparent box body, a plurality of coin slots are arranged on the top surface of the box body, the width of the coin slots is matched with the thickness of coins, the length of the coin slots is matched with the diameter of the coins, the coins are thin cylinders, two sides of each coin are smooth surfaces and are printed with identification codes, an identification device used for identifying the identification codes is arranged in the box body, and the identification device is respectively connected with a power supply and a probability statistics computer. According to the advanced mathematics probability demonstration device, the opportunity that the two sides face upwards after the coins fall is a completely random event; and the efficiency and accuracy of probability statistics are improved.

A multifunctional mathematical probability demonstration device comprises a shell, a locking door arranged on the shell, a first sleeve arranged on the inner top face of the shell, a second sleeve arranged below the first sleeve, a first motor arranged on the inner wall of the shell, a first electric telescopic rod arranged on the inner bottom face of a connecting frame, a check ring arranged on the movable portion of the first electric telescopic rod, a discharging pipe arranged on the outer ring of the check ring, a sliding rail is arranged at the bottom of the discharging pipe, an electric sliding block is arranged on the sliding rail, a box body is arranged on the inner top face of the shell, a feeding hole is formed in the top face of the shell, a plurality of white balls and black balls are arranged in the second sleeve, the number of the white balls and the number of the black balls are equal, the mass and the size of the white balls and the mass and the size of the black balls are equal, and a controller and a storage battery are arranged on the outer wall of the shell. The probability of various different conditions is demonstrated by controlling the starting time of a first motor, the probability of 'and' 'or' events can be demonstrated at the same time, after demonstration is completed, balls in the discharging pipe fall into the charging barrel, the feeding mechanism conveys the equal white balls and black balls into the second sleeve, and multiple times of demonstration is facilitated.

The invention provides an applied mathematics probability statistics device. The device comprises a box body, a glass side plate, an arc-shaped pipe, an ejection cylinder and counting plates, the boxbody is a semi-closed box with an opening formed in the side face. An arc-shaped pipe is fixed to the center of the top end of the box. The side end of the arc-shaped pipe is fixed at the side end ofthe box body; an ejection cylinder is fixed at the other end of the arc-shaped pipe; an elastic roller is arranged at the middle upper part in the box body; a plurality of baffles at equal intervals are fixed in the box body and close to the bottom of the box body; the counting plate is fixed below each marble channel in the box body; a flow guide plate is also fixed on the inner bottom surface ofthe box body; the problems that in the using process of an existing operating device, an operator cannot visually observe the elastic force during marble ejection, meanwhile, in the falling process,a marble on a counting piece on the inner side possibly triggers a counting piece close to the outer side to count in the falling process, and the structural accuracy of probability statistics is affected are solved.

The invention provides a novel mathematical probability statistics principle fitting degree demonstration device, which comprises a base, a demonstration device, a shielding mechanism, a storage box body, a book clamping mechanism, a paper clamping mechanism and a rotating mechanism, and is characterized in that the demonstration device is configured to demonstrate the mathematical probability statistics principle fitting degree; the shielding mechanism is configured to shield the demonstration device, the storage box body is configured to collect materials, the book clamping mechanism is configured to clamp books, the paper clamping mechanism is configured to clamp paper, and the rotating mechanism is configured to drive the storage box body to rotate. The demonstration device and the shielding mechanism are both located in the base. By arranging the book clamping mechanism and the paper clamping mechanism, when a teacher inputs data, paper or books are respectively fixed through the book clamping mechanism and the paper clamping mechanism, so that the teacher can operate the demonstration display screen with two hands, and great convenience is provided for the teacher to input the data.