Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Untitled

Official source

https://switch-video-production.os.zhdk.cloud.switch.ch/transcoding/3e/c8/6f6f131efc98d5fd4be0bde0c0d4/h264-1080p.mp4?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=c70ce910fb73491f9933421af7a4fcee%2F20240725%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240725T105036Z&X-Amz-Expires=86400&X-Amz-SignedHeaders=host&X-Amz-Signature=b299f25dddc3e9d8d8beab5711816094dc373a745c482958ad5db4c816cdb76d

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Related concepts (32)

Definition

A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitions (which try to list the objects that a term describes). Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions.

Circular definition

A circular definition is a type of definition that uses the term(s) being defined as part of the description or assumes that the term(s) being described are already known. There are several kinds of circular definition, and several ways of characterising the term: pragmatic, lexicographic and linguistic. Circular definitions are related to Circular reasoning in that they both involve a self-referential approach. Circular definitions may be unhelpful if the audience must either already know the meaning of the key term, or if the term to be defined is used in the definition itself.

Genus–differentia definition

A genus–differentia definition is a type of intensional definition, and it is composed of two parts: a genus (or family): An existing definition that serves as a portion of the new definition; all definitions with the same genus are considered members of that genus. the differentia: The portion of the definition that is not provided by the genus. For example, consider these two definitions: a triangle: A plane figure that has 3 straight bounding sides. a quadrilateral: A plane figure that has 4 straight bounding sides.

Empty set

In mathematics, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories ensure that the empty set exists by including an axiom of empty set, while in other theories, its existence can be deduced. Many possible properties of sets are vacuously true for the empty set. Any set other than the empty set is called non-empty. In some textbooks and popularizations, the empty set is referred to as the "null set".

Set theory

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory.

Related lectures (23)

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Vector Spaces: Definition, R2 MOOC: Linear Algebra (Part 1)

Introduces vector spaces with binary addition and scalar multiplication, exploring geometric examples in R2.

Mapping Functions and Surjections

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Differential Forms on Manifolds