The trinomial triangle is a mathematical structure similar to Pascal's triangle, but instead of summing the two numbers directly above a position to find the number below, it sums three numbers. Each entry in the trinomial triangle represents a coefficient related to the expansion of trinomial expressions. To construct a trinomial triangle: 1. Start with a single element at the top (the apex) of the triangle, typically the number 1.

A Monge array, named after the French mathematician Gaspard Monge, is a two-dimensional array (or matrix) that satisfies the Monge property.

Scott E. Fraser is a prominent neuroscientist known for his work in the fields of neuroscience and biomedical engineering. He has contributed significantly to the development of imaging techniques and technologies that allow scientists to visualize and understand complex neural processes, brain structure, and function. His research often involves the use of advanced microscopy and imaging methodologies to study brain activity and neural dynamics. He has held academic positions at various institutions and has published numerous scholarly articles advancing the understanding of the brain and nervous system.

A **bidirected graph** (also known as a bidirectional graph) is a type of graph in which edges have a direction that allows for travel in both directions between any two connected vertices. In other words, if there is an edge from vertex \( A \) to vertex \( B \), it can also be traversed from vertex \( B \) back to vertex \( A \).

The Hirst Research Centre is a facility associated with the study of various aspects of health and social care, particularly focusing on research related to the care of older adults. It is typically tied to a broader academic institution and contributes to advancements in healthcare practices and policies through research. The centre often engages in interdisciplinary projects, collaborating with other researchers, healthcare professionals, and organizations to address challenges in health and social care.

Dependent random choice is a concept mainly used in probability theory and stochastic processes. It refers to a selection process where the choices made are not independent of one another; rather, the outcome of one choice influences the probabilities of subsequent choices. In a typical independent random choice scenario, the probability of each outcome remains constant regardless of what has happened before. However, in dependent random choice, the selection of one item or event alters the likelihood of selecting other items or events in the future.

"Discoveries" by Scott S. Sheppard is a book that explores a variety of scientific topics and discoveries. Scott S. Sheppard is an astrophysicist known for his work in planetary science and his research on the outer solar system, including the discovery of new moons around Jupiter and other celestial bodies.

"Discoveries" by Susan D. Kern is a book that explores the intersection of personal and scientific discovery. It delves into themes of exploration, curiosity, and the transformative power of knowledge. Through a blend of personal narrative and scholarly research, Kern discusses how discoveries shape our lives and perceptions of the world. However, specific details about the book's content, themes, and format might not be widely available or well-documented in public sources.

"Discoveries" by Svetlana Gerasimenko is a collection of poems that captures the essence of personal exploration, nature, and emotional introspection. Gerasimenko's work often reflects a deep appreciation for life's nuances and the beauty found in everyday experiences. The poems may explore themes such as identity, memory, and the relationship between humanity and the natural world.

"Discoveries" is a work by Takeshi Urata that explores themes of exploration, curiosity, and the human experience. Urata is known for his ability to blend art and storytelling, often drawing inspiration from personal experiences and observations. His style may encompass various forms of visual art, literature, or multimedia presentations.

Tamás Szalai is an astronomer known for various contributions to the field of astronomy, particularly in areas related to exoplanets and variable stars. His work may include discoveries related to the detection and characterization of exoplanets, as well as studies on the behavior of certain stars.

"Discoveries" by Terry Handley is a compilation of poetry that delves into the themes of nature, introspection, and the human experience. The collection reflects Handley's observations and reflections on life, capturing moments of beauty, emotion, and insight. Through vivid imagery and thoughtful language, Handley's work encourages readers to explore their own feelings and perceptions of the world around them.

"Discoveries" by Tetsuya Fujii is a work that focuses on the themes of exploration, innovation, and insights within various fields, particularly in science and technology. While specific details about the book or its content may not be widely available, it likely reflects Fujii's perspective on significant discoveries and their impacts on society or specific industries.

Senku Ishigami is the main protagonist of the manga and anime series "Dr. Stone," created by Riichiro Inagaki and illustrated by Boichi. Senku is a highly intelligent and scientifically minded teenager who awakens in a world where humanity has been petrified for thousands of years due to a mysterious phenomenon. After he and his friend Taiju Oki are revived, Senku takes it upon himself to rebuild civilization using science and technology.

"Discoveries" is a book by Vincenzo Cerulli that delves into the theme of exploration and innovation. While detailed specifics about the book might not be widely available, Cerulli is known for his focus on exploring the intersections of various fields, possibly emphasizing how discoveries influence human knowledge and culture.

Starman, also known as Ted Knight, is a fictional superhero appearing in comic books published by DC Comics. He was created by writer James Robinson and artist Tony Harris and first appeared in "Starman" #0 in 1994, which was part of a larger series that redefined the character and the concept of the Starman legacy. Ted Knight is the original Starman and is depicted as an inventor and a scientist.

Jesse L. Greenstein was an influential American astrophysicist known for his contributions to the field of astronomy, particularly in understanding galaxies, quasars, and the chemical composition of stars. He was notable for his work in spectroscopy and was involved in early research on the redshift of galaxies, contributing to the development of cosmology. Greenstein also played a significant role in the academic community and was recognized for his dedication to teaching and mentoring students in astrophysics.

"Discoveries" by Xiangyao Hsiao is a work that explores themes of perception, understanding, and the nature of discovery itself. It often delves into existential questions, human experience, and the process of finding meaning in the world. The piece may integrate elements of philosophy, science, and personal reflection, encouraging readers to think critically about how we discover and interpret our surroundings.

"Discoveries" by Yasuhide Fujita is a work that likely explores themes related to exploration, personal growth, or scientific inquiry. While I don't have specific details about a book or project by that name, Yasuhide Fujita is known for his contributions to art and design. If "Discoveries" pertains to a specific artistic work, exhibition, or project, it could feature innovative elements or concepts that reflect Fujita's style and ethos.

"Discoveries" by Yoshiaki Oshima is a unique book that blends various elements, including philosophy and personal reflection, to explore themes of knowledge, creativity, and the human experience. Oshima's work often delves into the relationship between art and science, encouraging readers to question their assumptions and engage with the world in a deeper way. The book might include a mixture of personal anecdotes, philosophical musings, and artistic observations, inviting readers to reflect on their own perceptions and insights.