In this paper, we present necessary and sufficient conditions for X? to be idempotent orthogonal idempotent, where ? {A?, AD, AD?, A?,D Aw}. Several characteristics when is are derived by core-EP decomposition. Additionally, give some equivalent matrix A using the properties of generalized inverses A.

We consider the pulsar velocity problem and relate it to some unconven-tional neutrino oscillation mechanisms based on a violation of the equivalence principle by neutrinos. We show that the observed pulsar velocities may be explained by violations at the level from 10 −9 to 10 −10 in the case of a non-universal tensor neutrino-gravity coupling, whereas there is no solution in the case of a non...

Many real-world applications can be modeled by matrix factorization. By approximating an observed data matrix as the product of two latent matrices, matrix factorization can reveal hidden structures embedded in data. A common challenge to use matrix factorization is determining the dimensionality of the latent matrices from data. Indian Buffet Processes (IBPs) enable us to apply the nonparametr...

In the present study, we aimed to address the use of ethyl pyruvate (EP) against the harmful effects of cyclophosphamide (CP) treatment. Thirty-nine adult male mice were divided into three groups including control group received normal saline [0.20 mL per day; intraperitoneally (IP)], CP group received CP (15.00 mg kg-1 per week, IP) and CP+EP group received EP (40.00 mg kg-1</s...

Abstract. The unbalance-induced vibration of a high-speed rotor directly affects the manufacturing accuracy. To effectively suppress this undesired and avoid complicated process using trial weights during balancing adjustment, modal-based method for without is proposed. First, matrix sweep operation employed to acquire unbalance equivalent plane (EP). Next, concentration methods, vector feedbac...