Nonexistence of generalized bent functions from $$\mathbb {Z}_{2}^{n}$$ Z 2 n to $$\mathbb {Z}_{m}$$ Z m

Abstract

In this paper, several nonexistence results on generalized bent functions f : Z n 2 → Z m are presented by using the knowledge on cyclotomic number fields and their imaginary quadratic subfields.

Advancing Aptamers as Molecular Probes for Cancer Theranostic Applications—The Role of Molecular Dynamics Simulation

“…Breast cancer specific biomarkers including non-antibody proteins, monoclonal antibodies, and small molecule drugs are heralding recent target-specific treatment methods used for effective cancer therapies. [42]…”

“…Receptor biomarkers Targeting agents Breast • Favorable and unfavorable , , [34] and receptors [35] • Androgen [36] • Human epidermal growth factor [36] • Progesterone receptors [37] • T-cell receptor DNA [38] • Tumor-infiltrating lymphocytes [39] • Breast cancer type 1 susceptibility protein (BRCA1) [40] • Cyclin-dependent kinase (CDK) 4/6 inhibitors [41] • Non-antibody proteins • Monoclonal antibodies • Small molecule drugs [42] Lung • Epidermal growth factor receptor (EGFR) [44] • Nicotinic acetylcholine [45] • Platelet-derived growth factor [46] • Stromal derived factor-1/CXCL 12-CXC chemokine 4 [47] • Chimeric antigen receptor-modified T cells [48] • Anaplastic lymphoma kinase (ALK) inhibitor [49] • N-methyl-D-aspartate (NMDA) receptor [50] • Gefitinib [52] • Afatinib [51] • alectinib [49] • Pentixafor [53] • Erlotinib [54] Liver • Peroxisome proliferator-activated receptor- [56] • Interferon- [57] • Thyroid hormone receptor [58] • Toll-like receptors [59] • p62/SQSTM1 binding vitamin D [60] • Targeting notch [61] • Retinoic acid [62] • Intra-arterial chimeric antigen-modified T-cell [63] • Hepatic stellate cell activity [60] • HBsAg [64] • Hepatocellular carcinoma screening [65] Colorectal • Insulin-like growth factor-1 (IGF-1)…”

Phase‐Separable Polyisobutylene Palladium‐PEPPSI Precatalysts: Synthesis and Application in Buchwald–Hartwig Amination

“…For instance, the acenaphthyl-based [Pd-PEPPSI-(IPr-BIAN, bis(arylimino)acenaphthyl)] precatalyst ( Figure 1) exhibited a much higher efficiency than the classical [Pd-PEPPSI-IPr] precatalyst. [40,[77][78][79][80] The unique properties of BIAN could be interpreted by combining both the NHC and the naphthalene π-systems, thus, it can act as stronger σ-donors toward the metal. [81] Several reports exploiting its prosperous features have recently been reported on the backbone-site sterically hindered BIAN-NHC containing Pd-PEPPSI complexes.…”

“…[81] Several reports exploiting its prosperous features have recently been reported on the backbone-site sterically hindered BIAN-NHC containing Pd-PEPPSI complexes. [40,[77][78][79][80][81] The concept of using soluble polymers for their phase-selective solubility, pioneered by Bergbreiter, [82][83][84][85] has attracted several research groups' attention, describing various polymer-tagged organometallic complexes to date in the literature. [86][87][88][89][90][91][92][93][94][95][96][97][98] The primary significance of tagging relies on the aforementioned phenomenon, i.e., the complexes became selectively soluble in the heptane phase of a biphasic heptane/ polar solvent mixture, facilitating the separation (in some cases the recycling) of the employed catalyst/complex.…”

Preparative separation of bioactive polyphenol resveratrol from Polygonum cuspidatum Sieb. et Zucc. by pH‐zone‐refining countercurrent chromatography

“…Generally more than ten fold sample loading capacity can be achieved for pH-zone-refining countercurrent chromatography compared with conventional countercurrent chromatography, which constitutes the main advantage for preparative separation by pH-zone-refining mode. At present, many papers are available for separation of acidic and basic components from complicated matrix of natural products [23][24][25][26][27][28][29][30][31] or synthetic mixtures [32][33][34][35], in which all the analytes to be separated are typical organic acids or bases in light of their carboxyl group or amino group. It is assumed that pH-zone-refining mode can only be applied in separation of ionic components and it has been well explored in preparative separation of typical organic acids or bases.…”