Several fuzzy connectives, including those proposed by Lotfi Zadeh, can be seen as linear extensions of the Boolean connectives from the scale ${0,1}$ into the scale $[0,1]$. We discuss these extensions, in particular, we focus on the dualities arising from the Boolean dualities. These dualities allow to transfer the results from some particular class of extended Boolean functions, e.g., from c...

background: cadmium (cd) is a heavy metal that has widespread use. it enters the food chain in different ways, including soil and water. cadmium can cause dysfunction of different body organs. zinc (zn) and magnesium (mg) supplementation can have protective effects against cadmium toxicity due to their antagonistic and antioxidants properties. this study examines the influence of supplemental z...

t lymphocytes that are involved in cellular mediated immunity include two types known as tcd8+ (cytotoxic t lymphocytes) and tcd4+ (helper t lymphocytes). tcd4+ has four main subtypes, including th1, th2, th17, and treg lymphocytes.th17 lymphocytes play a role in defense against microbes that th1 and th2 lymphocytes have not the ability to respond to them. the most important cytokines, which ar...

background and purpose: the increased risk for cognitive defects in individuals affected by metabolic syndrome especially in those patients with cardiovascular disorders is now claimed. we aimed to assess the relationship between cognitive performance and the various components of metabolic syndrome. methods: one hundred and eighteen consecutive individuals aged 30 to 86 years were included int...

purpose: the cognitive domains are assessed by cognitive tests and these assessments are different between man and woman in every test, this study assessed brain function by cognitive domains among men and women. methods : a cross-sectional study was done on a sample of 15 to 75 years old of 80 female and 80 male. all participants did neuro-cognitive computer battery (nccb) after training and c...

for any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. the condition is that every minimal ideal of the ring consist entirely of bounded elements. it is not too stringent, and is satisfied, for instance, by rings of conti...

For the eigenvalue function on symmetric matrices, we have gathered a number of it’s properties.We show that this map has the properties of continuity, strict continuity, directional differentiability, Frechet differentiability, continuous  differentiability. Eigenvalue function will be extended to a larger set of matrices and then the listed properties will prove again.