[microreview]
The efficiency of devices based on advanced ceramics is related to the optimization of material properties. In this paper, we discuss the intrinsic and extrinsic factors that influence the properties of advanced ceramics.
https://doi.org/10.31219/osf.io/xt7h6
Open Engineering Collaboration
Op. J. Math. Phys.
Volume 2, Article 186, 2020 [HH]
[microreview]
We prove the Banach-Tarski decomposition paradox applied to a circle.
https://doi.org/10.31219/osf.io/mh5gx
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 142, 2020 [FN]
[microreview]
We prove that a subgroup has the same number of left and right cosets.
https://doi.org/10.31219/osf.io/t4snh
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 137, 2020 [FH]
[microreview]
We present a discussion on the superposition of oscillating fields.
https://doi.org/10.31219/osf.io/fuhd9
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 129, 2020 [EZ]
[microreview]
We present an overview of a few articles published in the Special Edition [1] of the Open Journal of Mathematics and Physics [2].
https://doi.org/10.31219/osf.io/96xe2
Open Collaboration
Op. J. Math. Phys.
Volume 2, Article 125, 2020 [EV]
[microreview]
We prove the proposition addressed in the title of this paper.
https://doi.org/10.31219/osf.io/98khs
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 120, 2020 [EQ]
[microreview]
We prove the proposition addressed in the title of this paper.
https://doi.org/10.31219/osf.io/7vm92
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 118, 2020 [EO]
[microreview]
We prove the proposition addressed in the title of this paper.
https://doi.org/10.31219/osf.io/34vbp
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 117, 2020 [EN]
[microreview]
We prove the proposition addressed in the title of this paper.
https://doi.org/10.31219/osf.io/zpwb5
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 115, 2020 [EL]
[microreview]
We show that the permutation of six Sylow 5-subgroups by conjugation is a faithful action, so that G is isomorphic to a subgroup of S6.
https://doi.org/10.31219/osf.io/g43yj
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 113, 2020 [EJ]
[microreview]
We show within the maximum number of steps that if only one point is moved by two permutations, the commutator is a 3-cycle.
https://doi.org/10.31219/osf.io/kxnt8
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 106, 2020 [EC]
[microreview]
I present a collection of mathematical results regarding group theory organized by tags.
https://doi.org/10.31219/osf.io/9xk68
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 101, 2020 [DX]
[microreview]
Some definitions and results for counting with groups are presented within the fewest words and symbols as possible.
https://doi.org/10.31219/osf.io/9hdwj
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 100, 2020 [DW]
[microreview]
The purpose of this paper is organizational for it presents a list of notations and mathematical definitions used in some results of abstract algebra.
https://doi.org/10.31219/osf.io/u8yx2
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 98, 2020 [DU]
[microreview]
Some definitions and results of group actions are presented within the fewest words and symbols as possible.
https://doi.org/10.31219/osf.io/9dt34
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 97, 2020 [DT]
[microreview]
Some definitions and results of homomorphisms are presented within the fewest words and symbols as possible.
https://doi.org/10.31219/osf.io/7pgcs
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 95, 2020 [DR]
[microreview]
Some definitions and results of subgroups are presented within the fewest words and symbols as possible.
https://doi.org/10.31219/osf.io/wcaez
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 94, 2020 [DQ]
[microreview]
Some definitions and results of groups are presented within the fewest words and symbols as possible.
https://doi.org/10.31219/osf.io/bfyhm
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 93, 2020 [DP]
[microreview]
We compute P(P(P(0))), where P(0) is the power set of the empty set.
https://doi.org/10.31219/osf.io/v5zyb
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 2, Article 90, 2020 [DM]
[microreview]
A very interesting property of the Fibonacci numbers alongside with the steps involved in its proof are presented.
https://doi.org/10.31219/osf.io/3tqeg
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 63, 2019 [CK]
[microreview]
All nine axioms and a single inference rule of logic (Modus Ponens) within the Hilbert axiomatic system are presented using capital letters (ABC) in order to familiarize the beginner student in hers/his first contact with the topic.
https://doi.org/10.31219/osf.io/jd3gp
Open Mathematics Collaboration
Op. J. Math. Phys.
Volume 1, Article 57, 2019 [CE]
Open Journal of Mathematics and Physics 