Frank Forelli does not appear to be a widely recognized public figure, term, or concept in mainstream knowledge as of my last update. It's possible that Frank Forelli could be a fictional character, a private individual, or a subject relevant to specific niche areas, such as literature, film, or regional news.

The Quadratic Eigenvalue Problem (QEP) is a generalization of the standard eigenvalue problem that involves a quadratic eigenvalue operator. It seeks to find the eigenvalues and eigenvectors of the form: \[ A \lambda^2 + B \lambda + C = 0 \] where \(A\), \(B\), and \(C\) are given matrices, \(\lambda\) is the eigenvalue, and \(x\) is the corresponding eigenvector.

Regularized Least Squares is a variant of the standard least squares method used for linear regression that incorporates regularization techniques to prevent overfitting, especially in situations where the model might become too complex relative to the amount of available data. The standard least squares objective function minimizes the sum of the squared differences between observed values and predicted values.

The Sherman-Morrison formula is a statement in linear algebra that provides a way to compute the inverse of a matrix when that matrix is modified by the addition of a rank-one update.

A signal-flow graph (SFG) is a graphical representation used in control system engineering and signal processing to illustrate the flow of signals through a system. It represents the relationships between variables in a system, allowing for an intuitive understanding of how inputs are transformed into outputs through various paths. Here are the key components and features of a signal-flow graph: 1. **Nodes**: Represent system variables (such as system inputs, outputs, and intermediate signals). Each node corresponds to a variable in the system.

A system of linear equations is a collection of two or more linear equations that involve the same set of variables. The goal is to find the values of these variables that satisfy all the equations in the system simultaneously. Systems of linear equations can be classified based on their number of solutions: 1. **Consistent and Independent**: The system has exactly one solution. The lines represented by the equations intersect at a single point.

The exploration of minor planets (asteroids) and comets by spacecraft has greatly advanced our understanding of these celestial bodies. Here’s a list of some notable minor planets and comets that have been visited by spacecraft: ### Comets 1. **Comet Halley (1P/Halley)** - Explored by the European Space Agency's Giotto mission in 1986.

The "Moons of Jupiter" refers to the numerous natural satellites that orbit the planet Jupiter. As of my last knowledge update in October 2023, Jupiter has 80 confirmed moons, with the four largest and most well-known being the Galilean moons, which were discovered by Galileo Galilei in 1610.

Haumea is a dwarf planet located in the Kuiper Belt, and it is known for its elongated shape, which is thought to be due to its fast rotation. Haumea has a unique feature among solar system bodies: it has three known moons. These moons are: 1. **Hi'iaka**: The largest of Haumea's moons and is named after the Hawaiian goddess of hula and childbirth.

A hyperbolic comet is a type of comet that follows a hyperbolic trajectory around the Sun. Unlike parabolic and elliptical comets, which have orbits that bring them back to the Sun multiple times (elliptical) or at least once (parabolic), hyperbolic comets are on a path that will take them out of the solar system after their closest approach to the Sun.

Uranus has 27 known moons, which are divided into three main categories based on their sizes and characteristics. Here’s a brief overview of these moons: 1. **Major Moons**: These are the largest and most well-known moons of Uranus. They include: - **Titania**: The largest moon of Uranus, about 1,578 kilometers in diameter. It has a mix of water ice and rock and features canyons and large impact craters.

Polish notation, also known as prefix notation, is a mathematical notation in which the operator precedes its operands. This means that instead of writing an expression in the conventional infix notation (where operators are placed between operands), Polish notation allows for expressions to be written without the need for parentheses to denote order of operations.

Trans-Neptunian objects (TNOs) are celestial bodies located in the region of the Solar System beyond the orbit of Neptune. These objects are primarily found in a region known as the Kuiper Belt, though some are in scattered disc orbits, and others can be found in the Oort Cloud. TNOs include a variety of object types, such as dwarf planets, large asteroids, and smaller icy bodies.

Dichotomous thinking, often referred to as "black-and-white thinking," is a cognitive bias that involves seeing situations, concepts, or people in extreme, either/or terms. This type of thinking does not allow for middle ground or nuances; it simplifies complex issues into binary categories. For example, an individual may categorize people as either entirely good or entirely bad, without recognizing the shades of gray in between.

Cirquent calculus is a formal system that extends the traditional sequent calculus, aiming to handle certain aspects of logic more effectively, particularly in the context of proof theory and structural proof theories. The main innovation in cirquent calculus is its ability to represent proofs in a more flexible way by using what are called "cirquents." A cirquent is a generalization of a sequent, allowing for multiple premises and conclusions that can be structured in a graph-like form rather than in a linear sequence.

The term "minor planets" commonly refers to celestial objects that orbit the Sun and are not classified as major planets or comets. This category primarily includes asteroids and a few other types of small solar system bodies. A "List of minor planets" typically includes: 1. **Asteroids**: These are the most common types of minor planets, primarily found in the asteroid belt between Mars and Jupiter. Some well-known examples include Ceres, Vesta, and Pallas.

Unified Science is an interdisciplinary approach that aims to integrate the various branches of science into a coherent framework. The goal is to find commonalities and connections across different scientific disciplines, facilitating a more holistic understanding of natural phenomena. The concept often emphasizes the interplay between different fields such as physics, chemistry, biology, and social sciences. It can involve the use of mathematical models, theories, and methodologies that can be applied across various scientific domains.

The term "degree of truth" generally refers to a concept in fuzzy logic and multi-valued logic, where truth values are represented not simply as true (1) or false (0), but rather as a continuum between these two extremes. In classical logic, a statement is either true or false, but fuzzy logic allows for statements to have varying degrees of truth, which can be represented by any real number between 0 and 1.

The term "immutable truth" refers to a truth that is unchanging and eternal, remaining constant regardless of circumstances or perceptions. It denotes an objective reality or fact that is not subject to alteration, interpretation, or belief. Immutable truths are often discussed in philosophical, theological, and scientific contexts. In philosophy, immutable truths can relate to foundational principles or axioms that are universally accepted and do not vary with time or culture.