Cristobalite is a high-temperature polymorph of silica (SiO₂). It is one of the several crystalline forms of silica, the others being quartz and tridymite. Cristobalite is characterized by its distinct crystal structure and is typically stable at temperatures above about 1,470 °C (2,680 °F). Cristobalite can form in volcanic rocks and is often found in deposits resulting from the cooling of molten lava.

The term "floating population" refers to a group of people who temporarily reside in a particular area but do not have long-term residential status there. This concept is often used in the context of urbanization and migration to describe individuals who move to cities or urban areas for work, education, or other reasons without officially settling down in that location.

The Al-Salam–Ismail polynomials, often denoted \( p_n(x; a, b) \), are a family of orthogonal polynomials that are generalized and belong to the class of basic hypergeometric polynomials. They are named after the mathematicians Al-Salam and Ismail, who introduced them in the context of approximation theory and special functions.

The Carlitz-Wan conjecture is a conjecture in number theory related to the distribution of roots of polynomials over finite fields. Specifically, it is concerned with the number of roots of certain families of polynomials in the context of function fields. The conjecture was posed by L. Carlitz and J. Wan and suggests a specific behavior regarding the number of rational points (or roots) of certain algebraic equations over finite fields.

Chihara–Ismail polynomials, also known as Chihara polynomials, are a family of orthogonal polynomials that arise in mathematical physics, particularly in the context of quantum mechanics and statistical mechanics. They are typically defined with respect to a specific weight function over an interval, and they are generated by a certain orthogonality condition.

Literalism in music refers to an approach or style that emphasizes the direct representation and reproduction of musical ideas, sounds, or motifs without significant alteration, abstraction, or interpretation. This can manifest in various ways, such as: 1. **Exact Reproduction**: Performing a piece of music exactly as it is written, adhering closely to the original score, dynamics, and ornamentation. This approach values fidelity to the composer’s intent.

Gould polynomials are a family of orthogonal polynomials that are particularly associated with the study of combinatorial identities and certain types of generating functions. They are often denoted using the notation \(P_n(x)\), where \(n\) is a non-negative integer and \(x\) represents a variable. These polynomials can arise in various mathematical contexts, including approximation theory, numerical analysis, and special functions.

Control of demographics refers to the strategies and policies implemented by governments, organizations, or groups to influence, manage, or regulate the characteristics of a population. This can include aspects such as age, gender, ethnicity, religion, socioeconomic status, and other social factors. Demographic control can manifest in various ways, including: 1. **Population Policies:** Governments may enact policies that encourage or discourage certain population trends, such as immigration laws, family planning initiatives, or incentives for larger families.

Lommel polynomials are a set of orthogonal polynomials that arise in the context of Bessel functions and have important applications in various areas of mathematical analysis, particularly in problems related to wave propagation, optics, and differential equations.

Narumi polynomials are a class of polynomials used in number theory and combinatorics, particularly in the context of enumerating certain types of combinatorial structures or in the study of generating functions. They are named after the Japanese mathematician Katsura Narumi. The Narumi polynomials can be defined by specific recurrence relations or generating functions, and they often arise in problems related to partitions, compositions, or other combinatorial constructs.

In mathematics, the term "secondary polynomials" is not a standard term and may not have a specific definition universally recognized across mathematical literature. It might refer to various concepts depending on the context in which it is used.

A trinomial is a polynomial that consists of three terms. It is typically expressed in the standard form as: \[ ax^2 + bx + c \] where \( a \), \( b \), and \( c \) are constants (real numbers), and \( x \) is the variable. The term "trinomial" is derived from "tri," meaning three, indicating that it has three distinct terms.

A unimodular polynomial matrix is a matrix of polynomials with coefficients in a polynomial ring such that it has a multiplicative inverse that is also a polynomial matrix.

"Mathematics and the Imagination" is a phrase that can refer to various interpretations but is most notably associated with a book by Edward Kasner and James Newman, published in the early 20th century. The book seeks to explore the beauty and creativity inherent in mathematics, illustrating mathematical concepts through imaginative and intuitive explanations. It covers a range of topics, from basic arithmetic to advanced concepts such as infinity, higher-dimensional spaces, and the nature of mathematical thought.

**From Here to Infinity** is a popular science book written by mathematician and author Ian Stewart. First published in 1996, the book explores a variety of mathematical concepts, theories, and paradoxes, making them accessible and engaging to a general audience. The title reflects the book's focus on the concept of infinity, which has fascinated mathematicians and philosophers for centuries.

"How Not to Be Wrong: The Power of Mathematical Thinking" is a popular book written by Jordan Ellenberg, published in 2014. The book explores how mathematical principles and reasoning can be applied to various real-world situations, demonstrating that mathematics is not just an abstract discipline but a powerful tool for understanding and navigating everyday life.

"How to Bake Pi: An Edible Exploration of the Mathematics of Mathematics" is a book written by mathematician Ben Orlin. Published in 2015, the book takes a unique approach to exploring mathematical concepts by using baking as a metaphor. Orlin combines humor, storytelling, and straightforward explanations to make complex mathematical ideas more accessible and engaging. The book features various mathematical topics, including geometry, algebra, calculus, and more, all illustrated with baking-related analogies.

"The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography" is a popular science book written by Simon Singh, published in 1999. The book explores the history and development of cryptography, examining how codes and ciphers have been used throughout history for communication and security. It delves into famous historical codes, such as the Enigma machine used during World War II, and discusses modern cryptographic techniques, including those based on quantum mechanics.

"Mars and the Mind of Man" is a book by science fiction author and futurist David Brin, published in 1992. The book explores the relationship between humanity and the planet Mars, focusing on both the scientific and cultural aspects of Mars exploration. Brin delves into the implications of potential human colonization of Mars, the search for extraterrestrial life, and how our understanding of Mars reflects our own human nature and aspirations.

The phrase "Physicist and Christian" generally refers to a person who identifies as both a physicist—a scientist who specializes in the study of physics, which is the natural science that studies matter, its motion and behavior through space and time, and the related concepts of energy and force—and a Christian, someone who follows the teachings of Jesus Christ and adheres to the Christian faith. The relationship between science and religion, particularly Christianity, has been a topic of extensive discussion and debate.