Cartesianization of Complex Forms in Saidou’ Spaces

Abstract

In this work, we propose to define a new space that will be called locally Cartesian space (Saidou'Spaces). It is a space defined by a new topology whose fundamental system of neighborhood are compact cartesian subsets, theses subsets were already defined during our previous work, "Geometrical introduction to Cartesian geometry in complex shapes see [15]. It will have the same properties of a Banach space. Then, we will give the steps of a cartesianization method of complex shapes or region in this space. The objective sought by this technique is to find a cartesian form (denoted Car(A)), that approximates any form A, see Figure1 below. It should be noted that cartesianization will be a generalization of the polygonization whish remains the object of research for several researchers in the spaces R 2 Ref [12] [13] [6].

Indoor Radon Measurements Using Radon Track Detectors and Electret Ionization Chambers in the Bauxite-Bearing Areas of Southern Adamawa, Cameroon

“…The above values were compared with other results from ore-bearing or mining regions of Cameroon [6][7][8][9][10][11][12][13][14][15]. Indoor radon concentrations ranged between 46-143 Bq m −3 in Poli [12], 27-937 Bq m −3 in Lolodorf [15], 88-282 Bq m −3 in Betare-Oya [9], and 31-436 Bq m −3 in the coastal city of Douala [11]. The average values were 82 Bq m −3 , 97 Bq m −3 , 133 Bq m −3 and 139 Bq m −3 , respectively.…”

“…Saïdou et al [10] previously reported natural radiation exposure to the public in some mining and ore-bearing regions of Cameroon. It has been found that the average inhalation doses due to 222 Rn are 1.5 mSv, 2 mSv, 2.5 mSv and 2.6 mSv in the uranium-bearing region of Poli [12], the uranium and thorium-bearing region Lolodorf [15], the gold mining areas of Betare-Oya [9] and the coastal city of Douala [11], respectively. It can be noted that the above average values are comparable to those found in the current work.…”

“…The bauxite deposits of Minim-Martap and Ngaoundal in southern Adamawa, Cameroon will be exploited in the near future. Thus, pre-exploitation background radiation levels should be determined for the accurate assessment of the impact of mining on the environment and the general public in the post-exploitation environment [6][7][8][9][10][11][12][13][14][15]. In that perspective, field works were performed for soil and water sampling, radon detectors were deployed in dwellings and ambient equivalent dose rates measurements were performed.…”

Importance of Discriminative Measurement for Radon Isotopes and Its Utilization in the Environment and Lessons Learned from Using the RADUET Monitor

“…In Cameroon, a total of 450 RADUETs were used to measure indoor radon and thoron concentrations in houses around mining and ore-bearing regions of Poli, Lolodorf, Betare-Oya and Douala [24,[36][37][38][39]. The monitors were hung from the ceiling in the bedroom for two months at a height of 1.…”