As of my last knowledge update in October 2023, the list of the verified shortest people includes individuals who have been certified by Guinness World Records for their height. Here are a few of the shortest verified individuals: 1. **Chandra Bahadur Dangi (Nepal)** - He was recognized as the shortest adult man in recorded history, measuring 54.6 cm (21.5 in) tall.

The Halperin conjecture is a statement in the field of topology, specifically relating to the study of CW complexes and their homotopy groups. Formulated by the mathematician and topologist Daniel Halperin in the 1970s, the conjecture predicts certain properties regarding the homotopy type of a space based on the behavior of its fundamental group and higher homotopy groups.

The Homotopy Hypothesis, often discussed in the context of higher category theory and homotopy theory, is a conjecture in mathematics concerning the relationship between homotopy types and higher categorical structures. It essentially posits that certain categories, specifically (\(\infty\)-categories), can be equivalently described in terms of homotopy types.

The Hopf invariant is a topological invariant that arises in the study of mappings between spheres, particularly in the context of homotopy theory and homotopy groups of spheres. Named after Heinz Hopf, the invariant provides a way to classify certain types of mappings and can be used to distinguish between different homotopy classes of maps.

A **model category** is a concept from category theory, which is a branch of mathematics that deals with abstract structures and relationships between them. Specifically, a model category provides a framework for doing homotopy theory in a categorical setting. It allows mathematicians to work with "homotopical" concepts such as homotopy equivalences, fibrations, and cofibrations in a systematic way.

Michael A. Wartell is an academic known for his work in the field of computer science, particularly in the area of computer networking and systems. He has held positions in academia, including serving as a dean or provost at various universities.

Anthropometric history is a field of study that examines the physical measurements and characteristics of human populations over time, often focusing on height, weight, body mass index (BMI), and other health-related metrics. This discipline is concerned with understanding how these measurements relate to various socio-economic, environmental, and cultural factors, thus providing insights into the living conditions, health, and nutritional status of populations across different historical periods.

The Sullivan conjecture, proposed by mathematician Dennis Sullivan in the 1970s, pertains to the areas of topology and dynamical systems. Specifically, it deals with the interaction between topology and algebraic geometry concerning the existence of certain types of invariants. The conjecture states that any two homotopy equivalent aspherical spaces have homeomorphic fundamental groups.

In homotopy theory, the concept of *weak equivalence* is central to the study of topological spaces and their properties under continuous deformations. Two spaces (or more generally, two objects in a suitable category) are said to be weakly equivalent if they have the same homotopy type, meaning there exists a continuous mapping between them that induces isomorphisms on all homotopy groups.

Bodyweight exercises are strength training movements that utilize an individual's own body weight as resistance rather than relying on external weights or gym equipment. These exercises can be performed anywhere and are often popular for their convenience and accessibility. They help improve strength, flexibility, endurance, and overall fitness without the need for specialized equipment. Common examples of bodyweight exercises include: 1. **Push-ups**: Target the chest, shoulders, and triceps.

The Institute of Medicine (IOM) equation refers to a set of equations used to estimate total daily energy expenditure (TDEE) and is particularly useful for assessing the energy needs of individuals based on their sex, age, weight, and height. The IOM published these equations as part of their dietary reference intake (DRI) recommendations.

Parastremmatic dwarfism is a rare form of disproportionate dwarfism characterized by specific skeletal and physical features. It is primarily marked by shortening of the long bones in the limbs, resulting in a shorter stature. This condition often has a distinctive postural aspect, where individuals may exhibit a characteristic stance or posture. The term "parastremmatic" refers to the specific bone structure and potential joint issues associated with this form of dwarfism.

Hand tools are tools that are operated by hand, as opposed to being powered by electricity or other sources of energy. They are essential in a variety of trades and crafts, including construction, woodworking, metalworking, gardening, and more. Hand tools can be simple or complex and are often used for tasks such as cutting, shaping, drilling, fastening, and measuring. Common examples of hand tools include: 1. **Hammers** - Used for driving nails or breaking objects.

A steering wheel is a crucial component of a vehicle that allows the driver to control the direction of the vehicle. It is typically circular in shape and is connected to the vehicle's steering system, which transforms the rotation of the wheel into lateral movement of the front wheels, enabling the vehicle to turn left or right.

A telegraph key is a mechanical device used to send Morse code signals by interrupting the electrical circuit in a telegraph system. It consists of a lever that the operator presses down to close the circuit, allowing current to flow, and releases to open the circuit, stopping the current. This on-and-off switching creates a series of dots and dashes that represent letters and numbers in Morse code. Telegraph keys are essential components in telegraphy, where messages are transmitted over wires.

The 18th century was a period of significant developments in mathematics across Europe, including Hungary. One of the most notable Hungarian mathematicians of that era was **János Bolyai** (1802–1860), known for his contributions to geometry, specifically non-Euclidean geometry. However, while Bolyai's most significant work was published in the 19th century, his developments were influenced by the mathematical environment of the late 18th century.

The 19th century was a significant period for Hungarian mathematics, marked by the contributions of several notable mathematicians. Here are some key figures and their contributions: 1. **János Bolyai (1802-1860)**: Bolyai is best known for his work in non-Euclidean geometry. He independently developed a system of geometry that does not rely on the parallel postulate, which was a revolutionary idea that laid the groundwork for much of modern geometry.

János Halász is a Hungarian politician known for his involvement in the political landscape of Hungary. He is a member of the Fidesz party, which is a major center-right political party in Hungary, often associated with nationalist and conservative policies. Halász has served in various capacities within the party and has also held positions in the Hungarian National Assembly. His political career includes work on issues related to education, culture, and social policies, among others.

Hungarian physical chemists are scientists from Hungary who specialize in the field of physical chemistry, which is the branch of chemistry that deals with the study of the physical properties and behavior of chemical systems. This discipline combines principles of physics and chemistry to understand how matter behaves on a molecular and atomic level. Hungary has a rich tradition in the sciences, including physical chemistry, with several renowned chemists and researchers contributing significantly to the field.

János Hebling is a Hungarian physicist known for his research in the fields of laser technology, photonics, and nanotechnology. He has contributed to various scientific advancements and has been involved in multiple academic and research institutions. His work often focuses on the development of new optical devices and materials, as well as their applications in various technologies.