Noether’s theorems for the relative motion systems on time scales

Gong, Sheng-nan; Fu, Jing-Li

doi:10.2478/amns.2018.2.00040

Cited by 2 publications

(1 citation statement)

References 26 publications

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“…The HP5370B time interval counter based on the vernier method of Hewlett-Packard Company can measure the sub-frequency up to 20 ps. However, the hardware circuit is complex and expensive, and the conversion time is long, so the system integration and application are restrained [10][11][12][13][14][15][16][17][18][19][20]. The high-precision frequency measurement method based on the phase quantization of different-frequency signal groups uses the periodic law of the phase relationship between signals to solve the problems in the traditional frequency measurement method in principle.…”

Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Geng

2022

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In order to achieve higher frequency measurement accuracy, this paper proposed a characteristic pulse detection method of fuzzy area based on the quantized phase processing method of different frequency groups. First, the fuzzy area of the group phase coincidence points continuously moved on the time axis after passing through delay elements. The moving distance, that is, the number of the delay elements was determined by the main clock cycle of the D flip-flop. After that, three groups of phase coincidence detection fuzzy areas in different positions were sent to the digital logic module to extract the edge pulses of the phase coincidence detection fuzzy area. The pulse width is determined by the difference between the clock cycles of the delay elements. The clock cycles of different delay units were adjusted to obtain nanosecond or even picosecond circuit detection resolution. Finally, the pulses generated at the edge of the phase coincidence fuzzy area are taken as the switching signal of the frequency signal counter, so the stability of the gate signal and the accuracy of the gate time measurement are improved. The experimental results show that frequency stability can reach the order of E-13/s. In addition, compared with the traditional measurement method, it is characterized by simple structure, low cost, low noises, and high measurement resolution.

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Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Geng

2022

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In vitro detection of nanoparticle cytotoxicity based on big data technology

Li¹

2021

JCM

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Nanoparticles have been used in the cytotoxic test for many times because of their easy size control, good biocompatibility and other characteristics. Therefore, a method based on big data technology for the in vitro cytotoxic test of nanoparticles is proposed. The cells were evenly inoculated into 96 well plate, the prepared AuNPs was diluted with DMEM cell culture medium, and the cytotoxicity was divided into 5 levels by 5-point system. A database model of cytotoxic characteristics of gold nanoparticles (AuNPs) was built to mine the toxic characteristics of cultured cells. The results showed that when the diameter and size of AuNPs were 1.8 nm, the cytotoxicity rating was the highest, which was 4. When the diameters of AuNPs were 18 nm and 27 nm, the cytotoxicity rating was 0. When the high concentration DMEM solution of 90 μg/mL was used to treat AuNPs, the cytotoxicity reached the highest value, and the lowest activity was 12%. When the cells were treated with DMEM solution for 24 hours, the activity and toxicity of the cells were the least and the toxicity was the strongest, and the number of apoptosis in the cell community was significantly reduced under the action of AuNPs.

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Noether’s theorems for the relative motion systems on time scales

Cited by 2 publications

References 26 publications

Bulletin of the Polish Academy of Sciences: Technical Sciences

Bulletin of the Polish Academy of Sciences: Technical Sciences

In vitro detection of nanoparticle cytotoxicity based on big data technology

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