In set theory, a projection is one of two closely related types of functions or operations, namely: A set-theoretic operation typified by the j {\displaystyle...

In measure theory, projection maps often appear when working with product (Cartesian) spaces: The product sigma-algebra of measurable spaces is defined...

closely related concept in set theory (see: projection (set theory)) differs from that of relational algebra in that, in set theory, one projects onto ordered...

Projection (set theory), one of two closely related types of functions or operations in set theory Projection (measure theory), use of a projection map...

S} of sets, consider the Cartesian product X = ∏ Y ∈ S Y {\textstyle X=\prod _{Y\in S}Y} of all sets in the collection. The canonical projection corresponding...

Attributes are used in projections and selections. The relational algebra uses set union, set difference, and Cartesian product from set theory, and adds additional...

In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces...

projection-valued measure, or spectral measure, is a function defined on certain subsets of a fixed set and whose values are self-adjoint projections...

In mathematics, a projection is an idempotent mapping of a set (or other mathematical structure) into a subset (or sub-structure). In this case, idempotent...

topological space and the connection is a continuous projection). The language of named set theory can be used in the definitions of all of these abstract...

In mathematics, projections onto convex sets (POCS), sometimes known as the alternating projection method, is a method to find a point in the intersection...

Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language...

relatives Logical matrix Partial order Predicate (mathematical logic) Projection (set theory) Reflexive relation Relation algebra Relational algebra Relational...

stereographic projection is a perspective projection of the sphere, through a specific point on the sphere (the pole or center of projection), onto a plane...

In set theory, Kőnig's theorem states that if the axiom of choice holds, I is a set, κ i {\displaystyle \kappa _{i}} and λ i {\displaystyle \lambda _{i}}...

equivalence class, is called the canonical surjection, or the canonical projection. Every element of an equivalence class characterizes the class, and may...

satisfying a free universal property for a given set. Adjoint functors Functors Projection (set theory) Mac Lane, Saunders. Categories for the Working...

is referred to as projection. Figure 5 suggests that syntactic structures are derived in a bottom-up fashion under the X-bar theory. More specifically...

{\Pi }}_{1}^{1}} is the set of Borel sets. Projection (measure theory) Lorentz, G. G. (2001). "Who discovered analytic sets?". The Mathematical Intelligencer...

Oblique projection is a simple type of technical drawing of graphical projection used for producing two-dimensional (2D) images of three-dimensional (3D)...

set theory Naïve set theory One-to-one correspondence Ordered pair Partition of a set Pointed set Power set Projection (set theory) Proper subset Proper...

Appendix:Glossary of set theory in Wiktionary, the free dictionary. This is a glossary of terms and definitions related to the topic of set theory. Contents: ...

in superstring theory. The projection is a selection of a subset of possible vertex operators in the worldsheet conformal field theory (CFT)—usually those...

In information theory, the information projection or I-projection of a probability distribution q onto a set of distributions P is p ∗ = arg ⁡ min p ∈...

while measure theory begins with considering characteristic functions of measurable sets. Therefore, as one can imagine, projections are very often encountered...

front projectors (standalone projection units for classrooms and business primarily), DLP rear projection television sets, and digital signs. It is also...

f is then the natural projection onto the set of equivalence classes. A given set may have many different topologies. If a set is given a different topology...

PCF theory Power set Projection Quasi-set theory Relation Rough set Russell's paradox Semiset Set theory Alternative set theory Axiomatic set theory General...

example being the neighborhood filter. Filters appear in order theory, model theory, and set theory, but can also be found in topology, from which they originate...

intersection of convex sets, and is a variant of the alternating projection method (also called the projections onto convex sets method). In its simplest...