Philip J. Hanlon is an American mathematician and academic administrator known for his work in the fields of mathematics and higher education leadership. He has served as the president of Dartmouth College since 2013, where he has focused on enhancing the academic programs and fostering a diverse and inclusive community. Prior to his role at Dartmouth, Hanlon was a professor of mathematics at the University of Michigan and held various administrative positions there, including provost and executive vice president.

Percy Alexander MacMahon, often referred to simply as MacMahon, was a prominent British mathematician born on March 15, 1854, and died on March 6, 1929. He is best known for his contributions to combinatorial mathematics and for his work in geometry and number theory. One of his notable contributions is in the field of combinatorial geometry, particularly his work on "MacMahon's partition analysis," which involves enumerating partitions of integer sets and studying their properties.

The HNN extension, named after the mathematicians Graham Higman, B. H. Neumann, and Hanna Neumann, is a construction in group theory that allows the creation of new groups from existing ones. Specifically, an HNN extension is a type of group that is used to generalize the notion of groups with an additional structure, particularly when it comes to accommodating certain types of relations between groups.

Pamela E. Harris is a prominent mathematician known for her contributions to algebraic combinatorics, especially in the areas of partition theory and symmetric functions. She is also recognized for her work in mathematical education and outreach, particularly in promoting diversity in STEM fields. Harris has been involved in various initiatives to encourage underrepresented groups to pursue careers in mathematics and science. Additionally, she has published numerous research papers and is an advocate for making mathematics more accessible and inclusive.

Vs metric:

There are actually two possible definitions for the DFT:

The $1/\sqrt{N}$ is nicer mathematically as the inverse becomse more symmetric, and power is conserved between time and frequency domains.

Naum Ya. Vilenkin is a name that may refer to a notable figure in the field of mathematics or physics, particularly in relation to the theory of complex analysis, mathematical logic, or other scientific disciplines. However, specific information about Naum Ya. Vilenkin might not be widely recognized or documented in mainstream sources.

Elizaveta Litvinova does not appear to correspond to a widely recognized figure, event, or concept based on my training data up until October 2023. It's possible that she might be a notable person in a specific field or context that has gained attention after that date, or she could be a private individual without significant public recognition.

Miklós Simonovits is a Hungarian mathematician known for his contributions to various fields, particularly in combinatorics, graph theory, and number theory. He is recognized for his work on extremal combinatorial problems, including results related to the Erdős–Simonovits stability theorem. His research has had a significant influence on the development of combinatorial mathematics, and he has published numerous papers and contributed to many important theories in the field.

Miklós Bóna is a mathematician known for his contributions to various areas of mathematics, particularly in combinatorics and dynamical systems. He has written extensively on topics such as combinatorial structures and their applications. Bóna may also be recognized for his work in mathematical education and for authoring textbooks and research papers.

Michael Somos is an American mathematician known for his work in number theory, particularly for his contributions to the study of sequences and polynomial identities. He is recognized for developing the Somos sequences, which are a family of recursively defined sequences that have interesting combinatorial and algebraic properties. These sequences arise in various mathematical contexts, including algebraic geometry and algebraic combinatorics.

Maria Chudnovsky is a prominent mathematician known for her work in graph theory, combinatorics, and optimization. She is recognized for her contributions to the field, particularly in areas like the study of perfect graphs, algorithmic problems, and the development of efficient algorithms for graph-related problems. Chudnovsky has received several accolades for her research and has published numerous papers in prestigious mathematical journals.

Lu Jiaxi (also known as Lu Jiaxi, 1904–1991) was a prominent Chinese mathematician known for his contributions to various fields within mathematics, particularly in complex analysis and algebraic topology. He played a significant role in the development of mathematics in China during the 20th century and was instrumental in the education of many mathematicians. Lu held various academic positions and was involved in research as well as teaching for many years.

Lior Pachter is a prominent computational biologist known for his contributions to bioinformatics and systems biology. He is a professor at the California Institute of Technology (Caltech), where he works on problems at the intersection of biology, mathematics, and computer science. His research often focuses on developing algorithms and computational methods for analyzing biological data, such as genomic sequences, gene expression, and evolutionary patterns. Pachter is also known for his work in RNA sequencing analysis and statistical methods in genomics.

Leonard Carlitz was an American mathematician known for his work in number theory, combinatorics, and related fields. He made significant contributions to various mathematical areas, including generating functions, partitions, and combinatorial identities. Carlitz is recognized for his research work and numerous publications, and he was associated with several mathematical societies and educational institutions throughout his career.

As of my last knowledge update in October 2021, there doesn’t seem to be a widely recognized person or entity named Sarah Peluse. It is possible that she could be a private individual, or a figure who gained prominence after that date.

Komei Fukuda is likely to refer to a Japanese person, potentially notable in a specific field, but without more context, it's difficult to identify who exactly you are asking about. There may be multiple individuals with this name or references to various cultural works, organizations, or concepts.