Selfies are self-portrait photographs typically taken with a smartphone or a camera held at arm's length or set up on a tripod. They are often shared on social media platforms, where people use them to express their personalities, document their experiences, or connect with others. Selfies can vary in style and context, including casual snapshots, artistic representations, or more formal images.

A semi-Hilbert space is a generalization of the concept of a Hilbert space, which is a complete inner product space. While a Hilbert space has a complete inner product structure, a semi-Hilbert space maintains some of the properties of a Hilbert space but may not be complete. In a semi-Hilbert space, one can still define an inner product, which allows for the measurement of angles and distances.

In molecular biology, "sense" refers to the orientation or directionality of a nucleic acid strand relative to its coding capacity. Specifically, it often describes how the sequences of nucleotides are read and the resultant protein synthesis from DNA and RNA.

Sergei Adian is a prominent mathematician known for his work in the fields of algebra, combinatorics, and number theory. He has made significant contributions to various mathematical theories, including polynomial algebra and the theory of formal power series. In addition to his research, Adian has been involved in mathematics education and has held academic positions at various institutions.

"Mission critical" refers to systems, processes, or components that are essential to the functioning of an organization or project. If a mission-critical component fails, it can significantly impact the organization's ability to operate effectively or achieve its objectives. In various contexts, such as business, information technology, aerospace, and emergency services, mission-critical elements include: 1. **Information Technology**: Servers, databases, and applications that are vital for operations.

Occupational risk assessment is a systematic process used to identify, evaluate, and mitigate risks associated with workplace activities that can potentially harm employees or affect their health and safety. It involves analyzing various factors that contribute to occupational hazards, such as physical, chemical, biological, ergonomic, and psychosocial risks. The primary objectives of occupational risk assessment include: 1. **Identifying Hazards:** Recognizing potential sources of harm in the workplace, including machinery, tools, chemicals, and work processes.

The "outrage factor" is a concept often used in discussions about public relations, marketing, or social media to quantify the level of public outrage or emotional response associated with a particular event, issue, or piece of communication. It refers to how intensely an event or situation triggers strong emotional reactions, such as anger, frustration, or indignation, among the public or specific groups.

The Regional Center for Disaster Information for Latin America and the Caribbean (CRID) is an institution aimed at enhancing the understanding and management of disaster risks in the Latin American and Caribbean region. It serves as a platform for the dissemination of information related to disasters, including natural hazards such as earthquakes, hurricanes, floods, and other extreme events.

A "stranded asset" refers to a resource or investment that has experienced a sudden or gradual loss of its economic value, often due to changing market dynamics, regulatory environments, or technological advancements. These assets can no longer earn an economic return, and as a result, they may become liabilities for their owners.

Unintended consequences refer to outcomes that are not the ones originally intended or anticipated when an action is taken. These consequences can be positive, negative, or neutral and often arise from the complexity of systems in which various factors interact in unforeseen ways. Unintended consequences can occur in many contexts, including policy-making, economics, social behavior, and environmental issues. For example: 1. **Policy-making**: A government might implement a subsidy for a specific industry to boost job creation.

Level set methods are a numerical technique for tracking interfaces and shapes in computational mathematics and computer vision. They are particularly used in multiple fields, including fluid dynamics, image processing, and computer graphics. The fundamental idea behind level set methods is to represent a shape or an interface implicitly as the zero level set of a higher-dimensional function, often called the level set function.

Numerical analysis is a branch of mathematics that focuses on techniques for approximating solutions to mathematical problems that may not have closed-form solutions. Here’s a list of key topics commonly covered in numerical analysis: 1. **Numerical Methods for Solving Equations:** - Bisection Method - Newton's Method - Secant Method - Fixed-Point Iteration - Root-Finding Algorithms 2.

Uncertainty propagation software is used to quantify the uncertainty in output values based on uncertainties in input variables. This is particularly important in fields such as engineering, risk analysis, and scientific research, where understanding the uncertainty can significantly affect decision-making. Below is a list of popular software tools that are used for uncertainty propagation: 1. **MATLAB** - Offers various toolboxes like the Statistics and Machine Learning Toolbox for uncertainty analysis.

Model Order Reduction (MOR) refers to a set of techniques and methods used to simplify complex mathematical models while preserving essential features, behaviors, or properties. These techniques are particularly valuable in fields such as engineering, physics, and computational sciences, where high-fidelity models (often governed by differential equations and involving a large number of variables or degrees of freedom) can be computationally expensive to simulate and analyze.

A Newton fractal is a type of fractal generated using Newton's method for finding successively better approximations to the roots (or zeros) of a complex polynomial function. The process involves iterating the Newton-Raphson formula, which is a method for finding roots of a real-valued function. In the context of complex analysis, this method can be visualized in the complex plane, leading to the creation of intricate and visually appealing fractal patterns.

Proper Generalized Decomposition (PGD) is a mathematical and numerical approach used to solve complex, high-dimensional problems, particularly in the field of computational mathematics and engineering. This method is especially useful for problems governed by partial differential equations (PDEs), which can be computationally intensive to solve directly, particularly when dealing with large-scale systems or when high-dimensional parameter spaces are involved.

Quantification of Margins and Uncertainties (QMU) is a systematic approach used typically in engineering, particularly in the fields of aerospace, nuclear, and other complex systems, to assess and manage the uncertainties and margins in performance predictions of a system. The objective of QMU is to provide a comprehensive understanding of how uncertainties in various inputs and parameters affect the performance and reliability of a system.

Runge–Kutta methods are a family of iterative techniques used for solving ordinary differential equations (ODEs). These methods are employed to find numerical approximations to the solutions of initial value problems, where the goal is to compute the future values of a function given its current state and the rate of change defined by the differential equation. The most commonly used member of this family is the classical fourth-order Runge-Kutta method, often abbreviated as RK4.

Sinc numerical methods are computational techniques that utilize the Sinc function, which is defined as: \[ \text{sinc}(x) = \begin{cases} \frac{\sin(\pi x)}{\pi x} & \text{if } x \neq 0 \\ 1 & \text{if } x = 0 \end{cases} \] Sinc methods are often used in various areas of numerical analysis, particularly in interpolation, numerical integration, and

Negamax is a simplified version of the minimax algorithm, used in two-player zero-sum games such as chess, checkers, and tic-tac-toe. It is a decision-making algorithm that enables players to choose the optimal move by minimizing their opponent's maximum possible score while maximizing their own score. The core idea behind Negamax is based on the principle that if one player's gain is the other player's loss, the two can be treated symmetrically.