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The bipolar junction transistor is introduced and its operation is explained. DC and switching applications are given. The need for DC biasing for AC amplification is illustrated and then satisfied by the Universal DC bias circuit. The thermal stability of this circuit is discussed and resulting constraints on resistor selection are developed. Amplifier gain, input impedance, and output impedance are defined and their usefulness is explained. The AC equivalents for the bipolar transistor are developed and then used to derive the properties of the common-emitter, common-collector, and common-base amplifiers. The concepts of distortion and feedback are introduced.
The recirculating flow at the rear of a flat-base three-dimensional body with ground proximity is investigated for different body attitudes defined by the pitch angle varying in the range $-1.5^\circ \lt \alpha \lt +2.6^\circ$ and the yaw angle in the range $0^\circ \lt \beta \lt +12^\circ$. Experiments measuring the three components of the mean velocity field in two perpendicular planes intersecting the recirculation area as well as the base pressure distribution are conducted for 50 different attitudes. They provide a clear correlation between the orientation of the spatially averaged reversed flow and the gradient at the centre of the base pressure distribution. Both vectors are found to be in the same so-called w-plane, that is perpendicular to the base of which the azimuthal position changes with the body attitude due to either the flow orientation at the base separation or sometimes to a ground separation for large nose-up pitch. Numerical simulations of the same geometry realised for 10 attitudes show satisfactory agreement with the force coefficients measured in the experiment. Base flow variations induced by attitude changes are also well captured, particularly that of the w-plane. The full three-dimensional simulation data are used to show that the inner structure of the separation bubble is always a tilted recirculation torus, where the tilt orientation is given by the base pressure gradient. At the bubble closure, a pair of longitudinal vortices symmetrically located on both sides of the w-plane are permanently observed with circulations consistent with the circulation of the dividing streamline separation in the w-plane.
This chapter discusses the terms overlap and similarity between quantum states and introduces the important swap test, as well as the Hadamard test and the inversion test. The mathematical derivations in this chapter are still very detailed.
After a brief review of dynamical systems theory, which is a key to understanding the dynamic process of biological states, we present the methodology adopted in this volume. It consists of (A) macroscopic phenomenological theory based on biological robustness, (B) universal statistical laws at the microscopic level, (C) general laws derived as a consequence of macro-micro consistency, (D) hierarchies with different time scales, and (E) experimental approaches to uncover universal properties and laws, as well as (F) consequences of a possible breakdown of consistency. To illustrate the consistency between cellular growth and molecular replication, we present examples of general statistical laws in gene expressions and the correlated change of expression levels across genes in response to environmental changes, together with their experimental confirmation. Later chapters explain the application of the methodology (A–F) to reveal fundamental properties in life.
The operational amplifier is introduced and the basic rules for its operation are given. Nonlinear operation is explained and the golden rules for linear operation are derived. Several examples of linear operation are given, including amplifiers, buffer, adder, differential amplifier, integrator, and differentiator. Practical considerations for using op-amps are discussed, including bias currents, offset voltages, slew rate limits, and frequency response. As a final non-linear example, an oscillator circuit, the astable multivibrator, is presented and analyzed.
Ice shelves that spread into the ocean can develop rifts that can trigger iceberg calving and enhance ocean-induced melting. Fluid mechanically, this system is analogous to an extensionally dominated radial spreading of a non-Newtonian fluid into a relatively inviscid and denser ambient fluid. Laboratory experiments have shown that rift patterns can emerge when the spreading fluid is shear thinning. Linear stability analysis supports these findings, predicting that while the instability mechanism is active in Newtonian fluids, it is suppressed by stabilising secondary-flow cellular vortices. Here, we explore the fully nonlinear evolution of a radially spreading Newtonian fluid, assessing whether large-amplitude perturbations could drive an instability. We use a quasi-three-dimensional numerical simulation that solves the full nonlinear shallow-shelf approximation, tracing the evolving fluid front, and validate it with known axisymmetric solutions and predictions from linear-stability theory. We find that large-amplitude perturbations induce nonlinear effects that give rise to non-axisymmetric patterns, including cusp-like patterns along the fluid front and complex secondary-flow eddies, which have neither been predicted theoretically nor observed experimentally. However, despite these nonlinear effects, large-amplitude perturbations alone are insufficient to induce rift-like patterns in Newtonian fluids. Strain-rate peaks at the troughs of the fluid front suggest that shear-thinning fluids may become more mobile in these regions, potentially leading to rift formation. This coincides with the likely weakening of stabilising forces as the fluid becomes more shear-thinning. These findings elucidate the critical role of nonlinear viscosity on the formation of rift-like patterns, which is the focus of Part 2 of this study.
Junction- and metal oxide-field effect transistors are introduced and their operation is explained. Governing equations are presented. DC and switching applications are given. The Universal DC bias circuit is used to provide DC biasing for AC amplification circuits. The AC equivalents for the field-effect transistor are developed and then used to derive the properties of the common-source, common-drain, and common-gate amplifiers.
Characteristics of the turbulent/non-turbulent interface (TNTI) and entrainment in separated and reattaching flows induced by an oscillating fence are investigated using time-resolved particle image velocimetry. Disturbed flows are classified into subcritical, transitional, critical and supercritical cases based on the ratio of the oscillation frequency to the natural vortex shedding frequency. In the recirculation zone, distinct vortices across different cases lead to significant variations in TNTI characteristics. In the subcritical case, the TNTI evolution resembles that in the stationary fence case but with intensified height fluctuations due to the undulation of separated shear layer. For other cases, the mean TNTI height increases with the oscillation frequency, while height fluctuation diminishes. The TNTI thickness varies with nearby vortices, scaling with the Taylor microscale. After the reattachment, TNTI height distributions converge into two groups: subcritical and transitional cases exhibit larger fluctuations and positively skewed probability density functions (PDFs), while critical and supercritical cases show smaller fluctuations and basically symmetric PDFs. The TNTI thickness becomes consistent across various cases, matching the adjacent small-scale vortex size. Besides, the nibbling mechanism of entrainment aligns well with the flow development. The minimum mean entrainment velocity coincides with the strongest prograde vortex while the maximum occurs at $x\approx 1.2x_{{r}}$ (where $x$ denotes the streamwise coordinate and $x_{{r}}$ is the mean reattachment position) in all cases. Engulfment is enhanced near the reattachment location by oscillations in the transitional and critical cases, but is suppressed in the supercritical cases due to the weakness of vortex structures at higher oscillation frequencies.
This chapter discusses quantum noise and techniques for quantum error correction, a necessity for quantum computing. It discusses bit-flip errors, phase-flip errors, and their combination. The formalism of quantum operations is introduced, along with the operator-sum representation and the Kraus operators. With this in mind, the chapter discusses the depolarization channel and imprecise gates, as well as (briefly) amplitude and phase damping. For error correction, repetition codes are introduced to motivate Shor’s 9-qubit error correction technique.
We have introduced a compact infrastructure for exploration and experimentation, but all at the level of individual gates. Higher levels of abstraction are needed to scale to larger programs. The chapter discusses several quantum programming languages, including their specific tooling, such as hierarchical program representations or entanglement analysis. General challenges for compilation are discussed as well as compiler optimization techniques.
Cells are capable of maintaining a long-term memory in addition to genetic information, which is generally referred to as epigenetics. In the study of memory, digital memory has been often assumed, which is understood as multistability, whereas in the cell there is another form of memory – continuous (analog), kinetic memory. Referring to the kinetic constraints of the glass theory, it is shown that a kinetic memory with slow relaxation emerges as an alternative to the conventional memories of multiple stable states. It is characterized by a slow logarithmic change with several plateaus that can be occupied during the relaxation process. If the same enzyme catalyzes a stepwise reaction, as long as the amount of such enzyme is not sufficient, the reaction process can be hindered by enzyme-limited competition, resulting in kinetic memory. A combination of catalytic reactions can create a negative correlation between the amount of substrate and enzyme in it, thereby allowing a slow relaxation process with many plateaus, where multiple states can be maintained over a long period of time.
We examine how ambient temperature $T$ (23–90 $^\circ \mathrm{C}$) alters the dynamics of spark-induced cavitation bubbles across a range of discharge energies. As $T$ rises, the collapse of an isolated spherical bubble weakens monotonically, as quantified by the Rayleigh collapse factor, minimum volume and maximum collapse velocity. When the bubble is generated near a rigid wall, the same thermal attenuation is reflected in reduced jet speed and diminished migration. Most notably, at $T \gtrsim 70\,^\circ \text{C}$, we observe a previously unreported phenomenon: secondary cavitation nuclei appear adjacent to the primary bubble interface where the local pressure falls below the Blake threshold. The pressure reduction is produced by the over-expansion of the primary bubble itself, not by rarefaction waves as suggested in earlier work. Coalescence between these secondary nuclei and the parent bubble seeds pronounced surface wrinkles that intensify Rayleigh–Taylor instability and promote fission, providing an additional route for collapse strength attenuation. These findings clarify the inception mechanism of high-temperature cavitation and offer physical insight into erosion mitigation in heated liquids.
This chapter summarizes the concept and methodology of the present volume by emphasizing the relevance of macro-micro consistency. It also discusses current research topics on the origin of life, the relationship between developmental and evolutionary processes, the resilience of the ecosystem that maintains diversity, and dynamic memory in the brain, as well as possible future directions for establishing a theory of universal biology. All in all, fresh views of biology are presented with a physicist's perspective to reveal universality.