An Online Calculator for Qubits Based on Geometric Algebra

An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

Advances in Applied Clifford Algebras ◽

10.1007/s00006-021-01185-w ◽

2021 ◽

Vol 32 (1) ◽

Author(s):

R. Alves ◽

D. Hildenbrand ◽

J. Hrdina ◽

C. Lavor

Keyword(s):

Quantum Computing ◽

Geometric Algebra ◽

Online Calculator

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Geometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supply

Mathematics ◽

10.3390/math9111259 ◽

2021 ◽

Vol 9 (11) ◽

pp. 1259

Author(s):

Francisco G. Montoya ◽

Raúl Baños ◽

Alfredo Alcayde ◽

Francisco Manuel Arrabal-Campos ◽

Javier Roldán Roldán Pérez

Keyword(s):

Geometric Algebra ◽

Dimensional Euclidean Space ◽

Active Components ◽

Electrical Circuits ◽

Current Harmonics ◽

Operation Conditions ◽

Multiple Phase ◽

Three Phase ◽

Phase Systems ◽

Definition Of

This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra power theory (GAPoT) to multiple-phase systems. A definition of geometric apparent power for three-phase systems, that complies with the energy conservation principle, is also introduced. Power calculations are performed in a multi-dimensional Euclidean space where cross effects between voltage and current harmonics are taken into consideration. By using the proposed framework, the current can be easily geometrically decomposed into active- and non-active components for current compensation purposes. The paper includes detailed examples in which electrical circuits are solved and the results are analysed. This work is a first step towards a more advanced polyphase proposal that can be applied to systems under real operation conditions, where unbalance and asymmetry is considered.

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Invariants of Space Line Element Structure Based on Projective Geometric Algebra

IEEE Access ◽

10.1109/access.2020.2981622 ◽

2020 ◽

Vol 8 ◽

pp. 62610-62618 ◽

Cited By ~ 1

Author(s):

Zhang Youzheng ◽

Mui Yanping

Keyword(s):

Geometric Algebra ◽

Line Element ◽

Space Line

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Solar Radiation, Air Temperature, Relative Humidity, and Dew Point Study: Damak, Jhapa, Nepal

International Journal of Photoenergy ◽

10.1155/2019/8369231 ◽

2019 ◽

Vol 2019 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Arun Kumar Shrestha ◽

Arati Thapa ◽

Hima Gautam

Keyword(s):

Relative Humidity ◽

Solar Radiation ◽

Air Temperature ◽

Gaussian Function ◽

Great Influence ◽

Dew Point ◽

Upward Trend ◽

Summer Maximum ◽

Online Calculator ◽

Climatic Phenomenon

Monitoring and prediction of the climatic phenomenon are of keen interest in recent years because it has great influence in the lives of people and their environments. This paper is aimed at reporting the variation of daily and monthly solar radiation, air temperature, relative humidity (RH), and dew point over the year of 2013 based on the data obtained from the weather station situated in Damak, Nepal. The result shows that on a clear day, the variation of solar radiation and RH follows the Gaussian function in which the first one has an upward trend and the second one has a downward trend. However, the change in air temperature satisfies the sine function. The dew point temperature shows somewhat complex behavior. Monthly variation of solar radiation, air temperature, and dew point shows a similar pattern, lower at winter and higher in summer. Maximum solar radiation (331 Wm-2) was observed in May and minimum (170 Wm-2) in December. Air temperature and dew point had the highest value from June to September nearly at 29°C and 25°C, respectively. The lowest value of the relative humidity (55.4%) in April indicates the driest month of the year. Dew point was also calculated from the actual readings of air temperature and relative humidity using the online calculator, and the calculated value showed the exact linear relationship with the observed value. The diurnal and nocturnal temperature of each month showed that temperature difference was relatively lower (less than 10°C) at summer rather than in winter.

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