3a An instructive toy model: two paradoxes We start with a very simple random trigonometric polynomial (even simpler than 1c12): (3a1) X(t) = ζ cos t+ η sin t where ζ, η are independent N(0, 1) random variables. Its distribution is the image of γ under the map (x, y) 7→ (t 7→ x cos t+ y sin t). Time shifts of the trigonometric polynomial correspond to rotations of R, (3a2) X(t− α) = ζ(cos t cos...

BACKGROUND Childhood-onset schizophrenia (COS) is a rare, severe form of the adult-onset disorder (AOS). Our previous resting-state fMRI study identified attenuated functional connectivity in COS compared with controls. Here, we ask whether COS and AOS patients and their siblings exhibit similar abnormalities of functional connectivity. METHODS A whole-brain, data-driven approach was used to ...

Because cone outer segments (COS) are now known to be continually renewed, I reexamined COS morphogenesis in retinas of Xenopus tadpoles (prepared by standard histologic techniques and viewed by light and electron microscopy) to clarify how COS incorporate new membrane. I observed that developing COS underwent an unexpected shape change: they were always conical, but their taper (width divided ...

The Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C + (x), C − (x), S + (x), and S − (x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x r + and x r are evaluated. The Fresnel cosine integral C(x) is defined by C(x) = 2 π x 0 cos ...

BACKGROUND Chitosan oligosaccharide (COS) is widely consumed as a functional food due to its multiple health effects, but few studies about COS supplement on placental antioxidant and nutrition transport capacity were reported. Taken pregnant sow as a model, we aimed to investigate the effects of dietary COS supplementation during late gestation on placental amino acids transport and antioxidan...

BACKGROUND In recent years several new fastidious bacteria have been identified that display a high specificity for BV; however no previous studies have comprehensively assessed the behavioural risk associations of these bacterial vaginosis-candidate organisms (BV-COs). METHODS We examined the associations between 8 key previously described BV-COs and BV status established by Nugent's score (...

The antidiabetic effect of chitosan oligosaccharide (COS) was investigated in neonatal streptozotocin (STZ)-induced noninsulin-dependent diabetes mellitus rats. The fasting glucose level was reduced by about 19% in diabetic rats after treatment with 0.3% COS. Glucose tolerance was lower in the diabetic group compared with the normal group. After diabetic rats had been treated with 0.3% COS for ...

Carbonyl sulfide (COS) is a potential new fumigant for stored products, patented worldwide by CSIRO Australia. It may replace methyl bromide for many applications on durable commodities and be used as an alternative to phosphine when there is a significant problem with insect resistance. Laboratory and field studies have shown that COS is effective on a wide range of pests at all life stages, a...

INTRODUCTION The correction of a deep overbite with the subsequent achievement of long-term stability is a difficult problem for orthodontists. The role of leveling the curve of Spee (COS) in bite opening and the success of orthodontic treatment has been well documented in the literature. The aim of this study was to investigate whether leveling the COS, by using 2 orthodontic treatment techniq...