scholarly journals Weak group inverse

2018 ◽  
Vol 16 (1) ◽  
pp. 1218-1232 ◽  
Author(s):  
Hongxing Wang ◽  
Jianlong Chen

AbstractIn this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties. Furthermore, we introduce two orders: one is a pre-order and the other is a partial order, and derive several characterizations of the two orders. The paper ends with a characterization of the core EP order using WG inverses.


2016 ◽  
Vol 13 (3) ◽  
pp. 363-375 ◽  
Author(s):  
Micah Lott

In The Value of Living Well, Mark LeBar develops a position that he calls “virtue eudaimonism” (ve). ve is both a eudaimonistic theory of practical reasoning and a constructivist account of the metaphysics of value. In this essay, I will explain the core of LeBar’s view and focus on two issues, one concerning ve’s eudaimonism and the other concerning ve’s constructivism. I will argue that, as it stands, ve does not adequately address the charge of egoism, once that charge has been formulated in the strongest way. I will also argue that a substantive constructivism like ve must have considerably less explanatory power than any (successful) constructivism that appeals to a formal characterization of agency. Although my remarks are largely critical, I offer them in a spirit of sympathetic engagement with LeBar’s impressive book.



2019 ◽  
Vol 19 (12) ◽  
pp. 2050238 ◽  
Author(s):  
Mengmeng Zhou ◽  
Jianlong Chen ◽  
Yukun Zhou

In proper ∗-rings, we characterize weak group inverses by three equations. It generalizes the notion of weak group inverse, which was introduced by Wang and Chen for complex matrices in 2018. Some new equivalent characterizations for elements to be weak group invertible are presented. Furthermore, we define the group-EP decomposition. Some properties of the weak group inverse are established by the group-EP decomposition.



2017 ◽  
Vol 21 (2) ◽  
pp. 243-281 ◽  
Author(s):  
Agostino Cera ◽  

Abstract: While putting forward the proposal of a “philosophy of technology in the nominative case,” grounded on the concept of Neoenvironmentality, this paper intends to argue that the best definition of our current age is not “Anthropocene.” Rather, it is “Technocene,” since technology represents here and now the real “subject of history” and of (a de-natured) nature, i.e. the (neo)environment where man has to live.This proposal culminates in a new definition of man’s humanity and of technology. Switching from natura hominis to conditio humana, the peculiarity of man can be defined on the basis of an anthropic perimeter, the core of which consists of man’s worldhood: man is that being that has a world (Welt), while animal has a mere environment (Umwelt). Both man’s worldhood and animal’s environmentality are derived from a pathic premise, namely the fundamental moods (Grundstimmungen) that refer them to their respective findingness (Befindlichkeit).From this anthropological premise, technology emerges as the oikos of contemporary humanity. Technology becomes the current form of the world – and so gives birth to a Technocene – insofar as it introduces in any human context its ratio operandi and so assimilates man to an animal condition, i.e. an environmental one. Technocene corresponds on the one side to the emergence of technology as (Neo)environment and on the other to the feralization of man. The spirit of Technocene turns out to be the complete redefinition of the anthropic perimeter.While providing a non-ideological characterization of the current age, this paper proposes the strategy of an ‘anthropological conservatism,’ that is to say a pathic desertion understood as a possible (pre)condition for the beginning of an authentic Anthropocene, i.e. the age of an-at-last-entirely-human-man.



1993 ◽  
Vol 13 (8) ◽  
pp. 5043-5056
Author(s):  
K Shirahige ◽  
T Iwasaki ◽  
M B Rashid ◽  
N Ogasawara ◽  
H Yoshikawa

We have reported the isolation of linking clones of HindIII and EcoRI fragments, altogether spanning a 230-kb continuous stretch of chromosome VI. The presence or absence of autonomously replicating sequence (ARS) activities in all of these fragments has been determined by using ARS searching vectors containing CEN4. Nine ARS fragments were identified, and their positions were mapped on the chromosome. Structures essential for and/or stimulative to ARS activity were determined for the ARS fragments by deletions and mutations. The organization of functional elements composed of core and stimulative sequences was found to be variable. Single core sequences were identified in eight of nine ARSs. The remaining ARS (ARS603) essential element is composed of two core-like sequences. The lengths of 3'- and 5'-flanking stimulative sequences required for the full activity of ARSs varied from ARS to ARS. Five ARSs required more than 100 bp of the 3'-flanking sequence as stimulative sequences, while not more than 79 bp of the 3' sequence was required by the other three ARSs. In addition, five ARSs had stimulative sequences varying from 127 to 312 bp in the 5'-flanking region of the core sequence. In general, these stimulative activities were correlated with low local delta Gs of unwinding, suggesting that the low local delta G of an ARS is an important element for determining the efficiency of initiation of replication of ARS plasmids.



2020 ◽  
Vol 72 (8) ◽  
pp. 1119-1133
Author(s):  
S. Z. Xu ◽  
J. L. Chen ◽  
J. Benítez

UDC 512.5 A new decomposition for square matrices is given by using two known matrix decompositions, a new characterization of the core-EP order is obtained by using this new matrix decomposition. Also, we will use a matrix decomposition to investigate the minus, star, sharp and core partial orders in the setting of complex matrices.



2019 ◽  
Vol 37 (3) ◽  
pp. 201
Author(s):  
Mário Jorge Hermida Martins Carvalho

Exercise Banking is, above all, a question of trust between parties, in which one of them - the client - confesses how much he thinks worth, hoping that the other party will keep this information for its exclusive orientation in the development of the business relation. The core issue of exercise banking is whether or not to implement a strategy (whatever it is) should be anchored in a given and assumed organizational culture (whatever it is). Traditional banking, in general, seemed to believe little in Strategy, or rather, used the term and some related practices to overcome the propensity to manage almost always and only in the short termism of taking advantage of successive conjunctures. Considering that excellence can’t be reduce to the mere characterization of technological innovation or processes, the product / service of excellence presupposes the design, development and monitoring always and only from the perspective of the end user / beneficiary / client.



Author(s):  
B. M. Makgopa ◽  
M. Belal ◽  
W. J. Strydom

This work presents a neutronic analysis of the core in the South African Fundamental Atomic Research Installation (SAFARI-1) for future Pebble Bed Modular Reactor (PBMR) fuel irradiation experiments. Monte Carlo simulation of the core with and without the rig has been performed. The results show a negligibly small reactivity worth of the rig, which is expected, due to the small amount of heavy metal loading in the pebble and the low fuel enrichment. This effect will be further investigated when the rig is extended to include more than one fuel pebble. Results further show perturbations in the neutron and photon flux as well as the power distribution in core position B6. A 50% thermal neutron flux depression is observed in position B6 due to the insertion of the rig. A 60% increase in axial photon heating values is also observed in position B6. The neutron and photon flux and power distributions in the other incore irradiation positions (D6 and F6) are slightly affected by the insertion of this rig. Fluxes and power distributions in positions D6 and F6 will be studied in detail when they are loaded with isotope production rigs.



Author(s):  
Janko Marovt ◽  
Dijana Mosić

We study certain relations in unital rings with involution that are derived from the core-EP decomposition. The notion of the WG pre-order and the C-E partial order is extended from [Formula: see text], the set of all [Formula: see text] matrices over [Formula: see text], to the set [Formula: see text] of all core-EP invertible elements in an arbitrary unital ring [Formula: see text] with involution. A new partial order is introduced on [Formula: see text] by combining the WG pre-order and the well known minus partial order, and a new characterization of the core-EP pre-order in unital proper ∗-rings is presented. Properties of these relations are investigated and some known results are thus generalized.



1993 ◽  
Vol 13 (8) ◽  
pp. 5043-5056 ◽  
Author(s):  
K Shirahige ◽  
T Iwasaki ◽  
M B Rashid ◽  
N Ogasawara ◽  
H Yoshikawa

We have reported the isolation of linking clones of HindIII and EcoRI fragments, altogether spanning a 230-kb continuous stretch of chromosome VI. The presence or absence of autonomously replicating sequence (ARS) activities in all of these fragments has been determined by using ARS searching vectors containing CEN4. Nine ARS fragments were identified, and their positions were mapped on the chromosome. Structures essential for and/or stimulative to ARS activity were determined for the ARS fragments by deletions and mutations. The organization of functional elements composed of core and stimulative sequences was found to be variable. Single core sequences were identified in eight of nine ARSs. The remaining ARS (ARS603) essential element is composed of two core-like sequences. The lengths of 3'- and 5'-flanking stimulative sequences required for the full activity of ARSs varied from ARS to ARS. Five ARSs required more than 100 bp of the 3'-flanking sequence as stimulative sequences, while not more than 79 bp of the 3' sequence was required by the other three ARSs. In addition, five ARSs had stimulative sequences varying from 127 to 312 bp in the 5'-flanking region of the core sequence. In general, these stimulative activities were correlated with low local delta Gs of unwinding, suggesting that the low local delta G of an ARS is an important element for determining the efficiency of initiation of replication of ARS plasmids.



Author(s):  
Janko Marovt

We study orders in proper $*$-rings that are derived from the core-nilpotent decomposition. The notion of the C-N-star partial order and the S-star partial order is extended from $M_ {n} ( \mathbb{C)}$, the set of all $n \times n$ complex matrices, to the set of all Drazin invertible elements in proper $*$-rings with identity. Properties of these orders are investigated and their characterizations are presented. For a proper $*$-ring $\mathcal{A}$ with identity, it is shown that on the set of all Drazin invertible elements $a \in \mathcal{A}$ where the core part of $a$ is an EP element, the C-N-star partial order implies the star partial order.



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