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It is shown that by imposing the relativistic symmetries on the cutoff in field theories, one rules out all known nonperturbative regulators except the point splitting. The relativistic cutoff dynamics is nonlocal in time and thereby unstable, bringing the very existence of relativistic field theory into question. A stable, relativistic regulator is proposed for a scalar field theory model and its semiclassical stability is shown numerically.

A low-cost regulator insensitive to temperature and supply voltage variations for power management units of Radio Frequency Identification (RFID) tag chips and other batteryless devices is proposed in this paper. The commonly used regulator has poor temperature rejection ratio (TRR) and poor voltage rejection ratio (VRR). By using combination resistors and long channel transistors, the bias and regulator circuits are improved over temperature variations. A power supply rejection (PSR) enhancement branch is also added to suppress the supply noise and stabilize the bias current. The regulator is designed and fabricated in the HJTC 0.25$\mu$m CMOS technology. Simulation results show that this regulator achieves 0.044mV/${}^{\circ }$C TRR when temperature varies from $-20^{\circ }$C to 70${}^{\circ }$C and 1.1mV/V VRR while the supply voltage of the regulator ranges from 4 to 12V. The PSR is nearly $-$100dB at DC. The area of this regulator is 0.102mm² including the bias circuit. The measurement results meet simulation results well and this regulator is successfully applied in HF passive tag chips within voltage deviations of $\pm 5\%$ of 2.5V.

This work presents a fully integrated mixed-mode low-dropout voltage regulator that achieves a fast transient response by utilizing two feedback mechanisms. The first feedback mechanism is the conventional analog regulation that includes an operational amplifier. The second feedback mechanism is based on digitizing any fast change in the output voltage using multiple comparators and subsequently enabling either an NMOS-based or a PMOS-based current DAC. The DAC provides current in opposite polarity to the sharp transient change in load current. As a result, addressing sharp changes in load current is not limited by the gain–bandwidth product of the error amplifier. The LDO was implemented using 180-nm CMOS technology devices. It uses a supply voltage input range of 1.6–2V and produces an output voltage of 1.2V. In simulations, the LDO regulator achieves 143-$\mu$ A quiescent current, $-$56-dB PSRR @ 1-kHz noise frequency and an output voltage drop of around 200mV for a load current step of 100mA. The LDO can provide a maximum load current of 200mA.

Theft of electricity is a significant loss of power sources. This fraud is mostly attributed to users’ actions such as removing the power supply, misuse of the power supply, etc. This analysis provides a way to handle the bypass and abuse of energy meters. A detection method of disconnection of low voltage anti-theft transformer (DM-DLVATT) to detect electricity theft is proposed in this research. The device architecture on a designed microcontroller’s measurement of two sensors. Although one of the new sensors controls the consumer charge’s power, the consumer has mounted the energy consumed by all modules while maintaining the device. The robbery suggests some difference between the interpreted values. There is also a temporary adjustment in the meter to restart the meter until it is altered. To recharge power products and track carbon emissions, the consumer often has remote access to electricity monitors. The device has been calculated correctly, and any effort has been made to circumvent or modify the voltage regulator. Finally, all disreputable actions using GSM technologies have been registered.

Understanding how genes are expressed and regulated in different biological processes are fundamental and challenging issues. Considerable progress has been made in studying the relationship between the expression and regulation of human genes. However, it is difficult to use these resources productively to analyze gene expression data. GEREDB (www.thua45.cn/geredb) has been developed to facilitate analyses that will provide insights into the regulation of genes that govern specific biological responses. GEREDB is a publicly available, manually curated biological database that stores the data regarding relationships between expression and regulation of human genes. To date, more than 39,000 Links have been contextually annotated by reviewing more than 53,000 abstracts. GEREDB can be searched using the official NCBI gene symbol as a query, and it can be downloaded along with the GEREA software package. GEREDB has the ability to analyze user-supplied gene expression data in a causal analysis oriented manner using the GEREA bioinformatics tool.

We consider a functional relation between a given Wilsonian renormalization group (RG) flow, which has to be related to a specific coarse-graining procedure, and an infinite family of (UV cutoff) scale-dependent field redefinitions. Within this framework, one can define a family of Wilsonian proper-time (PT) exact RG equations associated to an arbitrary regulator function. New applications of these RG flow schemes to the Ising Universality class in three dimensions in the derivative expansion are shortly illustrated.

The aim of this note is to prove the Mahler measure identity m(x + x^-1 + y + y^-1 + 5) = 6m(x + x^-1 + y + y^-1 + 1) which was conjectured by Boyd. The proof is achieved by proving relationships between regulators of both curves.

An algebraic integer is said large if all its real or complex embeddings have absolute value larger than $1$. An integral ideal is said large if it admits a large generator. We investigate the notion of largeness, relating it to some arithmetic invariants of the field involved, such as the regulator and the covering radius of the lattice of units. We also study its connection with the Weil height and the Bogomolov property. We provide an algorithm for testing largeness and give some applications to the construction of floor functions arising in the theory of continued fractions.

In this paper, we express special values of the L-functions of certain CM elliptic curves which are related to Fermat curves in terms of the special values of generalized hypergeometric functions by comparing Bloch’s element with Ross’s element in the motivic cohomology group.

Traditional algorithms for control power system that were proposed more than half a century ago are applied in our days. We propose principally new synergetics laws for frequency and power for power station units and unit groups. This approach requires development of technique for application. Moreover, directed implementation of synergetics control laws require global rebuilding of existing patterns of power units control. The simplest way of synergetics algorithms implementation is by using hierarchical principal of control system building. So we rate synergetics control laws as dynamical desired values for ordinary algorithms or as correcting signals [1].