V. Kumar Murty is an Indian mathematician known for his contributions to number theory and related fields. He is recognized for his work in areas such as modular forms, algebraic geometry, and arithmetic geometry. Murty has published numerous research papers and has been involved in various academic and educational initiatives. In addition to his research, he is also known for mentoring students and contributing to mathematical education.

Wang Yuan (also known as Wang Yüan) was a prominent Chinese mathematician, particularly known for his contributions to number theory and algebra. He was born on April 19, 1912, and passed away on September 17, 2006. Wang Yuan made significant contributions to the development of mathematics in China and was involved in mathematics education. He is often recognized for his work in promoting mathematics in the Chinese academic community.

The term "genus character" typically refers to the distinguishing features or characteristics that define a genus in biological classification. In taxonomy, the genus is a rank in the hierarchical classification system that groups species that are closely related to each other. Genus characters can include a variety of traits such as: 1. **Morphological Features:** These are physical characteristics, such as size, shape, structure, and color of the organisms that belong to that genus.

Proizvolov's identity is a mathematical result related to combinatorics and, more specifically, to enumerative geometry and the study of plane partitions. It is named after the Russian mathematician Vyacheslav Proizvolov. In essence, Proizvolov's identity connects the counting of certain combinatorial structures, often through a generating function or through some algebraic identity. The identity can be used to derive results about integer partitions, multinomial coefficients, and more.

The Feit-Thompson conjecture is a statement in group theory, which is a branch of mathematics that studies the algebraic structure known as groups. The conjecture was proposed by Walter Feit and John G. Thompson in their famous work in the 1960s on finite groups. The conjecture itself states that every finite group of odd order is solvable.

Gilbreath's conjecture is an observation in number theory regarding the differences between consecutive prime numbers. It asserts that if you take the sequence of prime numbers and repeatedly form new sequences by subtracting each prime from the next one, the resulting sequences will always contain primes. More formally, consider a list of prime numbers \( p_1, p_2, p_3, \ldots \).

Hilbert's ninth problem, one of the famous problems posed by the mathematician David Hilbert in 1900, focuses on the topic of mathematical logic and the foundations of mathematics. More specifically, it asks about the axiomatizability of physics, particularly the question of whether the axioms of physics can be formulated in a way that is both complete and consistent, using a finite set of axioms or a set of axioms that can be finitely derived.

Polignac's conjecture, also known as the "French conjecture," is a statement in number theory formulated by the French mathematician Alphonse de Polignac in 1849. The conjecture posits that for every positive even integer \( k \), there are infinitely many prime pairs \( p \) and \( p + k \) such that both \( p \) and \( p + k \) are prime numbers.

A sexy prime is a type of prime number that is part of a pair of primes that have a difference of six. In other words, two prime numbers \( p \) and \( q \) are considered sexy primes if \( q - p = 6 \). For instance, (5, 11) and (7, 13) are examples of sexy prime pairs because both pairs consist of prime numbers that differ by six.

Krypto is a card game that combines elements of mathematics and speed. It is typically played with a deck of cards that includes a set of numbers and a set of operations (like addition, subtraction, multiplication, and division). The goal of the game is for players to use the available numbers and operations to create a target number as quickly as possible. Players draw a specific number of number cards and a target card, then work to use the numbers and operations to compute the target.

As of my last update in October 2023, "Mixmath" does not refer to a widely recognized concept, product, or term in mathematics or related fields. It is possible that it could refer to a specific educational tool, app, or method for teaching and learning mathematics, blending different mathematical concepts or methodologies.

SOS is a simple pencil-and-paper game typically played by two players. The game involves creating a grid where players alternate turns to mark letters. The objective is to create the word "SOS" either horizontally or vertically. ### Basic Rules: 1. **Grid Setup**: Players choose a grid size (commonly 3x3 or larger). 2. **Turns**: Players take turns placing either an 'S' or an 'O' in an empty cell of the grid.

Ultimate Tic-Tac-Toe is a complex variant of the traditional game of Tic-Tac-Toe. Here's how it works: ### Setup: - The game is played on a 3x3 grid, but instead of just marking Xs and Os, each cell of this grid contains its own 3x3 Tic-Tac-Toe board. - Thus, the overall game consists of 9 smaller Tic-Tac-Toe boards (one for each cell of the large grid).

In mathematics education, the term "manipulative" refers to physical or visual tools used to help students understand mathematical concepts through hands-on experience. Manipulatives can take various forms, including objects, blocks, shapes, or digital tools. The purpose of manipulatives is to make abstract mathematical ideas more concrete and accessible, allowing students to explore, represent, and understand these concepts in a tangible way.

"Chicka Chicka 1, 2, 3" is a children's book written by Bill Martin Jr. and John Archambault, with illustrations by Lois Ehlert. It is a playful, rhythmic story that introduces numbers in a fun and engaging way. The book follows the journey of numbers as they climb up a coconut tree, encountering various challenges along the way.

Jigsaw puzzles are a popular form of entertainment and cognitive challenge that consist of numerous interlocking pieces, each often cut into a unique shape. The objective is to assemble these pieces to form a complete picture or image. Jigsaw puzzles can vary greatly in size, piece count, and complexity, ranging from simple puzzles with a few large pieces for children to intricate designs comprising thousands of pieces for enthusiasts. Typically, a jigsaw puzzle is made of cardboard or wood, with the image printed on one side.

Larry D. Nichols is a prominent American businessman, known for his leadership roles in the oil and gas industry, particularly as the co-founder and former CEO of Devon Energy Corporation, a major oil and natural gas exploration and production company based in Oklahoma City. Nichols played a significant role in transforming Devon Energy into one of the largest independent oil and gas companies in the United States. In addition to his work at Devon Energy, Nichols has been involved in various philanthropic efforts and serves on multiple boards.

"Puzzle globe" typically refers to a three-dimensional globe composed of puzzle pieces that can be assembled to form a complete representation of the Earth or a specific thematic map. These globes serve both educational and recreational purposes: 1. **Educational Tool**: Puzzle globes can help individuals learn about geography, countries, continents, oceans, and topographical features by visually and physically engaging with the shapes and sizes of different land masses.

A Puzzle Ring is a type of puzzle or mechanical ring that consists of multiple interlocking bands. When assembled correctly, these bands create a single ring. However, when the rings are taken apart and mixed up, they can be challenging to reassemble, thus offering a fun puzzle for the wearer. Historically, puzzle rings have been made from precious metals and have been popular for centuries, often associated with certain cultural traditions.