In mathematical analysis and other fields of mathematics, a "lemma" is a preliminary proposition or statement that is proven to aid in the proof of a larger theorem. The term "lemma" comes from the Greek word "lemma," which means "that which is received" or "that which is taken." In effect, results that are designated as lemmas are often foundational results that help establish more complex results.

Danskin's theorem is a result in the field of optimization and convex analysis. It provides a result on the sensitivity of the optimal solution of a parametric optimization problem.

The Gaussian integral refers to the integral of the function \( e^{-x^2} \) over the entire real line.

The Dirichlet–Jordan test is a criterion used in analysis, particularly in the study of the convergence of series of functions, such as Fourier series. The test is useful for determining the pointwise convergence of a series of functions, especially when dealing with orthogonal functions or trigonometric series.

Ecosemiotics is an interdisciplinary field that combines insights from ecology and semiotics to study the sign processes and communication systems found within ecological systems. It emphasizes how living organisms, environments, and communities communicate and interact through signs and meanings. Key points about ecosemiotics include: 1. **Interconnectedness**: It focuses on the relationships between organisms and their environments, highlighting how these relationships are mediated by signs and meanings.

The Fenchel–Moreau theorem is a fundamental result in convex analysis that relates the concepts of convex conjugates and duality. It characterizes the relationship between a convex function and its conjugate. Let \( f : \mathbb{R}^n \to \mathbb{R} \) be a proper, convex, and lower semicontinuous function.

Godunov's theorem is a result in the field of numerical analysis, specifically related to the numerical solution of hyperbolic partial differential equations (PDEs). It is named after the Russian mathematician S. K. Godunov, who contributed significantly to the development of finite volume methods for solving these types of equations.

N-hash is not a widely recognized term in computer science or cryptography, and it does not refer to a standard concept. However, it may be a shorthand for various concepts or implementations in the context of hashing or cryptographic hash functions. Hash functions are algorithms that take an input (or "message") and produce a fixed-size string of bytes, typically a digest that is unique to each unique input.

The Khintchine inequality is a result in mathematical analysis, particularly in the study of probability theory and functional analysis. It pertains to the properties of sums of independent random variables, specifically regarding their expected values and moments.

The Malgrange–Ehrenpreis theorem is a result in the theory of partial differential equations (PDEs). It pertains to the existence of solutions to systems of linear partial differential equations, particularly in the context of several variables. More specifically, it addresses the question of whether one can find solutions to a given system of linear PDEs with specified boundary or initial conditions.

The Lagrange reversion theorem is a result in mathematical analysis and combinatorics that relates to the coefficients of a power series. More specifically, it provides a method to express the coefficients of the inverse of a power series in terms of the coefficients of the original series.

Earthscore is a framework and methodology developed to measure and monitor the ecological health of the planet. It aims to provide a comprehensive understanding of the Earth's systems and their interconnectedness, allowing for better decision-making regarding environmental policies and practices. The concept typically includes various indicators related to biodiversity, ecosystem services, pollution levels, climate change, and human impact on the environment.

The term "floating signifier" originates from semiotics and is used in the context of language and meaning. A floating signifier refers to a sign (or a term) that lacks a fixed or stable meaning. Instead, its significance can shift and change depending on context and interpretation. In semiotic theory, a "sign" consists of a "signifier" (the form of a word or image) and a "signified" (the concept it represents).

The Handkerchief Code, also known as the "flagging" or "hanky code," is a system of color-coded handkerchiefs or bandanas used primarily within the LGBTQ+ community, particularly among gay men, to indicate sexual preferences, kinks, or interests. The code originated in the 1970s and has evolved over time. Typically, a person will wear a colored handkerchief in their back pocket (left or right) to signify different roles or interests.

In semiotics, the study of signs and symbols and their use or interpretation, an "interpretant" is one of the three components of a sign, alongside the "signifier" (the form that the sign takes) and the "object" (the thing to which the sign refers). The concept of the interpretant was notably developed by the American philosopher Charles Sanders Peirce. The interpretant is essentially the understanding or meaning that is derived from a sign by an interpreter.

Jamais vu is a psychological phenomenon characterized by the feeling of unfamiliarity with a situation or experience that one should recognize. While the term "deja vu" refers to the sensation of having already experienced something, "jamais vu" (French for "never seen") describes the opposite: a sense of strangeness or disbelief when encountering something familiar, such as a common word, place, or person that suddenly feels alien or new.

An open-ended question is a type of question that encourages a full, detailed response rather than a simple one-word or yes/no answer. These questions typically invite the respondent to share their thoughts, feelings, and perspectives, allowing for a deeper exploration of a topic. For example, instead of asking, "Did you enjoy the event?

Proxemic communication strategies refer to the use of personal space in social interactions and how it affects communication between individuals. The term "proxemics" was coined by anthropologist Edward T. Hall in the 1960s, and it deals with the distances we maintain from others based on various factors such as cultural norms, the nature of the relationship, the context of the interaction, and personal preferences.

"Radical chic" is a term that describes a style or attitude adopted by members of the affluent class who express support for radical political causes, often in a superficial or fashion-conscious way. The term gained popularity in the late 1960s and early 1970s and is often associated with a certain type of bourgeois liberalism.

Semiofest is an international conference that focuses on semiotics, the study of signs and symbols and their use or interpretation. It's a gathering for researchers, scholars, and practitioners from various fields—including marketing, branding, communication, and cultural studies—to explore how semiotic theory can be applied in different contexts. The event often features keynote speakers, panel discussions, and workshops that address topics such as cultural meanings, visual communication, and the impact of semiotics on consumer behavior.