Construction of Multivariate Tight Framelet Packets Associated with Dilation Matrix

In this paper, we present a method for constructing multivariate tight framelet packets associated with an arbitrary dilation matrix using unitary extension principles.We also prove how to construct various tight frames for L2(Rd) by replac-ing some mother framelets.     

Early detection of viral DNA in breast cancer using fingered aluminium interdigitated electrode modified by Streptavidin-biotin tetravalent complex

Human Mammary Tumor Virus (HMTV) or Mouse Mammary Tumor Virus holds similarity as an endogenous onco-retrovirus belongs to retroviridae family, predominantly infects the epithelial cell of human as well as mouse. With the recognition of nano-biosensor in nanotechnology, ideal interdigitated electrode (IDE) was genuinely performed for HMTV detection. Aluminium enriched IDE (AlIDE) was fabricated for high performance detection with a cost-effective photolithography technique. In this research, (3-glycidyloxypropyl) trimethoxysilane refined platform was selected to detect the conductivity with HMTV target DNA interaction on the designed AlIDE. Strong binding affinity of streptavidin-biotin with target DNA enhanced the sensitivity by empowering higher number of HMTV probe and target complementation on sensing surface. Furthermore, the target DNA was immobilized on probe modified AlIDE and a quantitative value of 100 aM attained as a lowest detection. A linear with dose-dependent duplex formation was shown with the regression coefficient value of 0.964. Negative control has shown insignificant detection at 10 pM, which justifies the higher fold discrimination with specificity. The excellence of AlIDE performance in detection of HMTV may pave the way for more verification on other diseases.     

Pauli Half Spinning and Elliptic Curve Based Information Confidentiality Mechanism

International Journal of Theoretical Physics - The use of digital contents has increased tremendously in this modern era. In fact, people spend more time on internet than ever which urged the...     

Synthesis on templates II : Directed synthesis of imidazoles from adenine

Adenine has been used as the template for the directed synthesis of 5-substituted imidazoles. A Novel intermediate involved in the cyclic operation has been characterised.     

MOFs for desulfurization of fuel oil: Recent advances and future insights

Nowadays, desulfurization of fuel oil has raised concern globally because of strict industrial and environmental legislations. Albeit hydrodesulfurization (HDS) has been extensively used in oil refineries to produce low sulfur oil (< 10 ppm) but not been proven as effective method for the removal of dibenzothiophene (DBT), benzothiophene (TH) and their derivatives. Subsequently, adsorptive desulfurization (ADS) and oxidative desulfurization (ODS) methods have been developed to achieve high removal efficiency. In the past decade, metal–organic frameworks (MOFs) and its composites as oxidative catalysts, as well as adsorbents, have attracted the researchers owing to high surface area, tunable properties, and reusable. The present review comprises use of MOFs and their composites for the removal of sulfur from fuel oil via ODS and ADS processes. Additionally, physicochemical properties of MOFs, mechanism, pros and cons of both process, regeneration, and future challenges have been discussed briefly. Moreover, current limitations and future prospective are also discussed.     

Polar Wavelet Transform and the Associated Uncertainty Principles

The polar wavelet transform– a generalized form of the classical wavelet transform has been extensively used in science and engineering for finding directional representations of signals in higher dimensions. The aim of this paper is to establish new uncertainty principles associated with the polar wavelet transforms in \(L^{2}(\mathbb R^{2})\). Firstly, we study some basic properties of the polar wavelet transform and then derive the associated generalized version of Heisenberg–Pauli–Weyl inequality. Finally, following the idea of Beckner (Proc. Amer. Math. Soc. 123, 1897–1905 1995), we drive the logarithmic version of uncertainty principle for the polar wavelet transforms in \(L^{2}(\mathbb R^{2})\).     

Synthesis of Reversed C-Nucleosides

A number of C-nucleoside analogs of the D-furanose series were synthesized by using push–pull activated monosaccharide α-dimethylaminomethyleneulose (1) as a precursor. Enaminoketone 1 was reacted with o-phenylenediamine, cyanamide, and dialkyl-3-oxoglutarates to obtain benzodiazepine nucleoside analog 2, reversed C-nucleoside analog with pyrimidine ring 3, and isophthalic acid derivative 4, respectively.     

Synthesis of Hydantoins,Thiohydantoins, and Glycocyamidines Under Solvent-Free Conditions

Hydantoins, thiohydantoins, and glycocyamidines have been prepared in moderate to excellent yields at room temperature under solvent-free conditions. 3N-amino and carboamide derivatives of hydantoin (7–8) were prepared in single step by condensing benzil with semicarbazide and biuret respectively.     

Stokes vector determination of polarized light propagation in turbid medium

We report a two dimensional Stokes vector imaging technique for transamination measurements of the polarization state of scattering medium. Measurement of the depth resolved Stokes parameters allows determination of the degree of polarization, birefringence, retardation, optical activity and characterization of the medium. The polarized light preserved and degree of polarization very with scatterer concentration. The transmitted intensity patterns by varying a polarization state of the incident laser light (λ = 632.8 nm) and changing analyzer configuration provides a useful information about concentration, orientation, and shape of the sample under investigation. The results are important for the understanding of polarization phenomenon in turbid media, like biological tissues.