Henry Crapo is an American mathematician known for his work in the fields of mathematics and operations research. His contributions are particularly recognized in areas such as combinatorial mathematics, graph theory, and the study of combinatorial structures. Crapo has collaborated on various mathematical problems and has been involved in research that explores the theoretical underpinnings of combinatorial optimization. He has also contributed to the development of mathematical models that apply to practical problems in various domains, including computer science and engineering.
HH-suite is a software tool designed for sensitive sequence searching and protein homology detection. It is particularly focused on finding homologous sequences in large databases using HMM-HMM (Hidden Markov Model - Hidden Markov Model) comparisons. HH-suite builds on the principles of HMMER and allows for the comparison of sequences to HMMs derived from multiple sequence alignments, enabling the identification of distant homologs that might not be detected by traditional sequence alignment methods.
Hideya Matsumoto is not a widely recognized name in popular culture, academia, or current events; it might refer to a specific individual who is not broadly known or documented in major sources. If you have a particular context or field in mind (such as sports, entertainment, science, etc.
Hideyuki Matsumura does not appear to be a widely recognized figure in contemporary popular culture, history, or notable fields based on the information available up to October 2023. It's possible that he is a lesser-known individual in a specific professional niche or a figure that has become more prominent after that date.
Higher-order operads are a generalization of operads that extend the concept to incorporate operations that can take other operations as inputs. Traditionally, an operad consists of a collection of operations that can be composed in a structured way, and they have a certain type of associative nature with respect to these operations.
Hillard Bell Huntington (1887–1968) was an American geographer, demographer, and historian known for his work in the field of human geography and for his contributions to the understanding of population distribution and migration patterns. He is particularly noted for his concept of "landscape" and the relationship between human activity and the environment. Huntington's work often explored the effects of climate and geography on societies, as well as cultural and ethnic influences on population dynamics.
The Homotopy Lifting Property (HLP) is a fundamental concept in algebraic topology, particularly in the study of fiber bundles and covering spaces. It describes how homotopies (continuous deformations) can be lifted from the base space to a total space in a fibration or covering space situation.
H. J. Ryser typically refers to H. J. Ryser (Hugh John Ryser), an influential mathematician known for his work in combinatorial mathematics, particularly in graph theory and set theory. He made significant contributions to the field, including the development of certain theorems and principles that are widely taught in discrete mathematics courses.
The Hobby–Rice theorem is a result in the field of functional analysis, specifically related to the theory of compact operators on Banach spaces. The theorem provides conditions under which a certain type of operator can be approximated by finite-rank operators, which are often easier to deal with. The theorem is essentially a characterization of weakly compact sets in certain contexts.
Homological conjectures in commutative algebra refer to a collection of important and influential conjectures that relate to the behavior of modules over rings, particularly regarding their homological properties. These conjectures often involve investigating the relationships between various homological dimensions of modules (such as projective dimension, injective dimension, and global dimension) and their implications for ring theory and algebraic geometry.
Randomized rounding is an algorithmic technique often used in the context of approximation algorithms and integer programming. It is particularly useful for dealing with problems where one needs to convert a fractional solution (obtained from solving a linear relaxation of an integer programming problem) into a feasible integer solution, while maintaining a certain level of optimality. ### Overview: 1. **Linear Relaxation**: In integer programming, the objective is to find integer solutions to certain optimization problems.
Homomorphic secret sharing (HSS) is a cryptographic technique that enables secure computation on shared secret data. It combines aspects of secret sharing and homomorphic encryption, allowing computations to be performed on the shared data without revealing the underlying secrets.
The Homotopy Extension Property (HEP) is a fundamental concept in algebraic topology, particularly in the context of topological spaces and homotopy theory. It essentially describes a condition under which homotopies defined on a subspace can be extended to the entire space.
Hua's identity is a mathematical identity related to quadratic forms and number theory. It provides a way to express a certain sum over lattice points in terms of another sum, linking various forms through their quadratic characteristics.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact