Alyson:

Sum

“Sum” redirects straight to “summation” on Wikepedia, which also gives this:

• Sum (category theory), also referred to as “coproduct”
• Sum (country subdivision), an administrative division used in Mongolia and nearby regions
• SUM (interbank network)
• Soccer United Marketing
• Sum (Unix), a program for generating checksums
• Som (also spelt “sum”) meaning “pure”; the name of two national currencies:
  • Kyrgyzstan som
  • Uzbekistan som
• Sum (Mongolia), an administrative subdivision of Mongolia
• Spilka Ukraïns’koï Molodi (СУМ/SUM) Ukrainian Youth Movement
• Sum 41, a Canadian Punk band
• Direct sum of modules

Sum is also an acronym for Surface-to-Underwater Missile.

There are 15 definitions here.

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Order

Order has 56 definitions here.

Wikepedia gives 11 categories for what “order” might refer to. In the category of Mathematics:

Order in arithmetic, analysis and combinatorics

• Orders of approximation in Big O notation
• Orders of magnitude, a class of scale or magnitude of any amount
• Order of convergence, a measurement of convergence
• Order, or degree of a polynomial
• Order, or matrix (mathematics)#Definitions and notations
• Order (differential equation)#Types of differential equations, or order of highest derivative, of a differential equation
• Order in the Josephus permutation
• Weak order of permutations
• Twelvefold way#Ordered selections and partitions of the Twelvefold way in combinatorics
• Ordered set, a permutation, bijection or cyclic order
• Un-ordered subset or combination
• Ordered list, a tuple or sequence
• Long-range aperiodic order, in for instance pinwheel tiling
• Multiplicative order in modular arithmetic
• Z-order (curve) space-filling curve
• List of order topics in mathematics

Order in fractals

• Complexor, or complex order in fractals
• Orders of construction in the Pythagoras tree
• Order of extension in Lakes of Wada
• Order of Rényi dimensions

Order in graphs

• Graph order, the number of nodes in a graph [1]
• Ordered pair, including undirected and directed graphs
• Ordered triple, or mixed graph
• Glossary of graph theory

Order in mathematical theories

• Order (group theory), the cardinality of a group or period of an element
• Order (number theory)
  • Multiplicative partition, Unordered factorization of numbers
• Order in Ramsey theory, uniform structures in consequence to critical set cardinality
• Order (ring theory), an algebraic structure
• Order theory, which studies various binary relations known as orders
  • Dense order of rational and real numbers
  • Order topology, a topology of Total order for totally ordered sets
  • Partially ordered set, or poset
  • Total order, a generalization of the complete ordered field of real numbers
  • Glossary of order theory
• Set theory (music) encompasses ordered pitch and pitch classes (Musical set theory)
• Type theory encompasses: First-order logic, Second-order logic and Higher-order logic

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Net

23 definitions.

Wikepedia:

Net may refer to:

• Net (device), fibers woven in a grid-like structure
• Net (textile), any textile in which the warp and weft yarns are looped or knotted at their intersections
• Net (mathematics), a generalization of a sequence similar to a filter
• Net (polyhedron), an arrangement of polygons that can be folded up to form a polyhedron
• An electronic network connection in a netlist
• New Jersey Nets, a basketball team
• Net Television, a Maltese television station
• The Net (film), a 1995 film starring Sandra Bullock
• Cricket nets a safe netted environment for practicing cricket

Wikepedia also gives other definitions for “net” in computing and communication, for the Internet-related prefix net, .net or .NET, in business and finance, as an acronym, in broadcast and media and in science and psychology.

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Base

46 definitions. Wikepedia gives numerous possible meanings, including

In mathematics:

• Base (mathematics), the number b in an expression of the form bⁿ, hence also the number of digits (known also as the radix) in a positional numeral system, for example, base 10
• Base (topology), a topological space
• Base (group theory)
• One of the sides of a trapezoid or triangle

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Vertex

–noun, plural -tex·es, -ti·ces

1.	the highest point of something; apex; summit; top: the vertex of a mountain.

2.	Anatomy, Zoology. the crown or top of the head.

3.	Craniometry. the highest point on the midsagittal plane of the skull or head viewed from the left side when the skull or head is in the Frankfurt horizontal.

4.	Astronomy. a point in the celestial sphere toward which or from which the common motion of a group of stars is directed.

5.	Geometry. a. the point farthest from the base: the vertex of a cone or of a pyramid. b. a point in a geometrical solid common to three or more sides. c. the intersection of two sides of a plane figure.

And from Wikipedia:

Vertex (Latin: corner; plural vertices or vertexes) may refer to:

Mathematics

• Vertex (geometry), a corner point of a polygon, node in a Triangulated irregular network or TIN
• Vertex (graph theory), a node in a graph
• Vertex (curve), a local extreme point of curvature

Physics

• Vertex (physics), a point where particles collide and interact
• Vertex (optics), a point where the optical axis crosses a lens surface
• Vertex algebra in conformal field theory
• Vertex function describing the interaction between a photon and an electron
• Vertex model in statistical mechanics, a discrete model of a physical system in which weights are associated with vertices of a grid graph.

Companies

• Vertex – Business Process Outsourcing, a business services provider spun off from United Utilities
• Vertex Pharmaceuticals, a biotech company
• Vertex Standard, a radiocommunication products company.

Music

• A song in In The Groove (video game)
• Vertex (album), an album by Buck 65
• Vertex (band), a band formed in 1996

Other

• Vertex (anatomy), the uppermost surface of the head of an arthropod or vertebrate

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Square

54 definitions.

And from Wikepedia, square may mean:

Mathematics

• Square (geometry), a polygon with four equal sides and angles
  • Unit square
• Square (algebra), to multiply a number or other quantity by itself
  • Square root
  • Square matrix
  • Square number
  • Perfect square
• Square wave, a basic kind of non-sinusoidal waveform

Entertainment

• Square (album), an album by Buck 65
• Square (band), a musical trio from Lincoln, Nebraska
• Square Enix, a video game company
  • Square Co., former video game company that merged with Enix to become Square Enix
  • Square Electronic Arts, joint venture between console video game developers Square and Electronic Arts
  • Square Pictures, a computer-animated film division of Square

Language

• Square (slang), either an unhip person or a cigarette
• Square character (■), a written character
• A modifier adjective, used when describing fielding positions in cricket
• An adjective or noun, used when describing two positions parallel with one another relative to the goal in football

Places

• Square Lake, Maine, an unorganized territory in Aroostook County, Maine
• Times Square, popular landmark in New York City
• The Square, a common name for public squares
  • Town square or Market square, an open area commonly found in the heart of a traditional town
• Tiananmen Square in Bejing China, the largest open-urban square in the world.

Other

• Square (building area), an Imperial unit of floor area
• Square (cipher), a cryptographic block cipher
• Square division, a form of military organization
• Square rig, a type of sail and rigging arrangement
• An astrological aspect of 90 degrees
• Carpentry square, a tool
• Infantry square
  • Broken square