Celakoska, Emilija

Preferred name
Celakoska, Emilija
Official Name
Celakoska, Emilija
Main Affiliation
Email
emilija.celakoska@mf.edu.mk

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    Mathematical terminology: On the names of fractions in the Macedonian language
    (Union of Mathematicians of Macedonia, 2016)
    Celakoska-Jordanova, Vesna
    ;
    In this note we discuss the question of the names of fractions in the Macedonian language and explain our position in using а consistent system for generating nouns that denotes fractions, a system that is unambiguous and clear, unique and complete.
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    Canonical commutative ternary groupoids
    (Hikari, Ltd., 2017)
    Celakoska-Jordanova, Vesna
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    The names of foreign mathematicians in Macedonian
    (Union of Mathematicians of Macedonia, 2016)
    Celakoska-Jordanova, Vesna
    ;
    In this paper we discuss the problem of pronunciation and transcription of the names of foreign mathematicians in the teaching of college mathematics and in mathematical literature in Macedonian. We adapt to the language rules and the transliteration challenges of the original names. Some examples from different textbooks and from the practice, which require pronunciation and transcription improvement, are given as well.
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    Conditions on nonlinearity of oscillatory equations inducing the periapsidal precession
    (Springer, 2019-05-19)
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    The equations of motion in the theory of general relativity obtained for the Schwarzschild metric yield an oscillatory differential equation with weak quadratic nonlinearity. This nonlinearity induces the well-known parametric expression for the relocation of the orbital periapsis, usually termed as periapsidal precession. It still represents a hard test for a gravitational theory viability. In the standard process of obtaining the precession, some approximation methods are employed, however it seems that the methods can provide better information then it is usually presented in the literature. We give an in-depth analysis of the oscillatory nonlinear differential equation as a dynamical system, also analyzing the conditions for obtaining the precession given other nonlinearities. Then, we outline a procedure for obtaining this precession for more general types of nonlinearities and the conditions which apply on them.
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    Coverings by n-cubes and the Gauss–Bonnet theorem
    (Finnish Academy of Science and Letters, 2018-08)
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    Trencevski, Kostadin
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    Induced spin velocity of the Earth and its influence to the seasonal variation of the Earth's angular velocity
    (Springer, 2020-06-02)
    Trencevski, Kostadin
    ;
    We examine the induced spin velocity in case of the Earth. Spin velocity is induced from the conversion of a constrained spatial rotation into a spatial displacement. Its effects on Earth as a celestial body are consequences of its properties, and they are examined in detail. The induced spin velocity has influence on the semiannual variation of the length of day. The annual and semiannual variations of the length of day are considered separately. The measured value in case of the semiannual variation of the length of the day is 5.44% more than the predicted, while the measured value in case of the annual variation of the length of the day is 5.36% less than the predicted.
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    On Complex Homogeneous Space of Vectors with Constraints
    (Prof. Marin Drinov Academic Publishing House, 2017)
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    null, null
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    Celakoska-Jordanova, Vesna
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    On the Nordtvedt effect in Minkowski spacetime with nonlinear connection
    (Science Publishing Corporation, 2017-11-06)
    Trenčevski, Kostadin
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    <jats:p>The Lunar Laser Ranging (LLR) experiment provided precise data which brought the possibility to make more stringent conclusions for the foundations of gravitational theories, i.e. the Equivalence Principles. Beside some effects of non - gravitational origin, the LLR data was fitted with the well-known gravitational effects such as the apsidal and geodetic precessions, the time delay, etc. The Nordtvedt effect in General Relativity (GR) vanishes, while the LLR experiment data of the Earth-Moon distance and the laboratory experiments with experimental bodies made of different chemical compositions measured a variation of distance in millimeters. According to the mathematical model of gravitation in Minkowski space endowed with a nonlinear connection we obtained a result closer to the experimental measurements. More precisely, we obtained a difference of 0.17 mm (or 0.28 mm, depending on the value of the scaling factor) from the LLR measurements of the variation of the Earth-Moon distance, while the corresponding result in GR makes a difference from the LLR measurements of 5.7 mm. The gravitational theory with nonlinear connection in Minkowski space gives the same results for the confirmed GR effects, nevertheless it yields some additional variations of the distance concerning the Nordtvedt effect.</jats:p>
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    Induced spin velocity of the Earth and its influence on the seasonal variation of the Earth’s angular velocity
    (Springer Science and Business Media LLC, 2020-06-02)
    Trenčevski, Kostadin
    ;
    Abstract We examine the induced spin velocity in case of the Earth. Spin velocity is induced from the conversion of a constrained spatial rotation into a spatial displacement. Its effects on Earth as a celestial body are consequences of its properties, and they are examined in detail. The induced spin velocity has influence on the semiannual variation of the length of day. The annual and semiannual variations of the length of day are considered separately. The measured value in case of the semiannual variation of the length of the day is 5.44% more than the predicted, while the measured value in case of the annual variation of the length of the day is 5.36% less than the predicted.