Math Words That Start With J

The letter J marks the start of many important mathematical terms that students encounter in various concepts and problem-solving. This article compiles key math vocabulary starting with J across branches like algebra, geometry, statistics, calculus, and more. Learn their meanings with examples to build your math dictionary.

Algebra

Joint Variation – When two variable quantities increase or decrease together in proportion to each other, they exhibit joint variation. For example, your cab fare varies jointly with the distance traveled.
Juxtaposition – In algebra, juxtaposition refers to writing terms next to each other without any multiplication symbol. For instance, ab means an x b.

Geometry

Jag – A jag refers to a sharp projection or tooth-like on the edge of a leaf or rock. In geometry, it describes shapes with jutting points and irregular edges.
Joukowsky Transform – This complex transform maps the exterior of a circle in the mathematical complex z-plane onto the interior of another circle. It is used in aerodynamics and hydraulic design.
Jubate – Having a tuft or crest. In geometry, a jubate triangle is an isosceles triangle having two smaller similar isosceles triangles attached to its base.

Calculus

Jacobian – The Jacobian matrix comprises all the first-order partial derivatives of a vector-valued function. It describes how a function’s outputs vary with inputs.
Jet – In differential geometry, the jet space models how a function changes from point to point using its derivatives. For example, a curve’s jet encodes infinitesimal data.
Jordan Curve – A Jordan curve is a non-self-intersecting continuous loop in the plane, dividing it into an “interior” and “exterior”. The Jordan Curve Theorem proves some key properties.

Set Theory

Join – The join operation combines two sets A and B to form a new set containing elements of both A and B. For example, the join of {a,b} and {b,c} is {a,b,c}.

Statistics

Joint Distribution – The joint distribution of two random variables describes their probabilities together. It generalizes the marginal distribution of each individual variable.
Joint Probability – The likelihood of two events happening together. It equals the probability of event A and event B.
Jury of Executive Opinion – A technique used in time series analysis and forecasting where a panel of experts votes on quantity forecasts.

Trigonometry

Journey – an old unit of length equalling about 5.5 kilometers. 1 league = 3 journeys.

Logarithms

Jolt – A jolt is an old unit used to measure electric potential. It equals 107 abvolts. 1 statvolt = 3.33564×10−8 jolts.

Linear Algebra

Jordan Canonical Form – Matrix decomposition that transforms any matrix into a simpler diagonal matrix through similarity transformations. It has applications in control theory and differential equations.

Number Theory

Jacobi Symbol – This symbol (a/b) indicates whether integer a is a quadratic residue modulo b, an important concept in number theory.

List of Math Words That Start With J

Here is a list of other math words that start with the letter J:

Jacobian
Jacobian Matrix
Johnson Distribution
Johnson System
Johnson-Lindenstrauss lemma
Jordan Basis
Jordan Block
Jordan Canonical Form
Jordan Curve Theorem
Julia Set
Junior Varsity
Justify
Jurisprudence
Juran Statistic
Jutout
Juxtapose
Jacobian Determinant
Jacobian Inverse
Jacobi Elliptic Functions
Jacobi Identity
Jacobi Symbol
Jacobsthal Number
Jarque–Bera Test
Jeffreys Prior
Jordan Decomposition
Jordan Normal Form
Jordan Operator
Joukowsky Transform
Jump Process
Jaccard Index
Jackknife Estimate
Jackknife Method
Junior Mathematics League
Just Noticeable Difference
J-Statistic
J-Image
Jaffe Group
J-operator
Join
Joint Distribution
Johnson–Lindenstrauss Lemma
Jordan Path
Jacobian Conjugate
Jensen’s Inequality
Jensen’s Operator
Johnson-Lindenstrauss Transform
Jubilee
Jukes-Cantor Model
Junction Tree Algorithm
Jump Diffusion
Jones Polynomial
Junction Tree
Juxtaposition
Jumping Number
Jukes–Cantor Model
Justify Text
Jacobi Symbol
Jordan Triple System
Jordan Algebra
Jordan Decomposition Theorem
Junior Varsity Team
Jubilee Year
Justified Layout
Joukowski Mapping
Jordan Measure
Jordan Curve Theorem
Jordan Normal Form
Jensen’s Inequality
Justified Text
Johnson-Lindenstrauss Lemma
Junior Scholastic
Joyce Groups
Jensen’s Inequality
Junction Tree
Jacobian Matrix
Jost Function
Joule
Jaccard Index
Jahn-Teller Effect
Jukes-Cantor Model
Jensen Inequality
Jacobian Form
Jones Polynomials
Junction Tree Algorithm
Jupiter Math
Juxtapose
Joukowski Transform
Justify
Jordan Canonical Form
Judgment Sampling
Joists
Joukowski Map
Julia Sets
Jordan Decomposition
Jubilee Year
Johnson-Lindenstrauss Lemma
Julia Matrix
Jaccard Similarity Coefficient
Jahn-Teller Theorem
Jordan Form
Jigsaw Puzzle
Johnson-Lindenstrauss Transform
Jordan Cell
Junior League
Jump Process
Jones Polynomial
Joule’s First Law
Jost Function
Jensen’s Measure
Joukowski Map
Jukes-Cantor Model
Joukowski Transformation
Julia Set
Join
Jacobi Elliptic Function
Jordan Curve
Joint Probability Function
Joint Probability Density Function
Jensen’s Operator Inequality
Junior Varsity Team
Jock
Justify Text
Jordon Form
Johnson Measure
Jordan Structure
Johnson Distribution
Joist
Jordan Content
Julie’s Law
Joule’s Equivalent
Jordan Decomposition
Junior Math League
Joukowski Transformation
Jubilee Year
Juxtaposition
Join Operation
Jacobi Symbol
Julia Fractal
Justify Paragraph
Johnson-Lindenstrauss Lemma
Johnson Criterion
Jensen Inequality
Justified Paragraph
Jubilee
Jacobian Matrix Inverse
Jordan Canonical Forms
Jump Process
Joule
Jaccard Coefficient
Jahn-Teller Effect
Jacobian Transformation
Johnson Distribution
Jost Differential Equation
Junction Tree
Julia Set Function
Justify Text Alignment
Joukowski Mapping
Julia Matrix
Jost Function
Join Function
Jordan Measure
Jensen’s Identity
Junior Mathematical Olympiad
Jacquemin-Arnould Theorem
Joules Per Kilogram
Junction Tree Algorithm
Jacobsthal Numbers
Junior Mathcounts
Julia Fractal Set
Joukowski Transformation
Jones Polynomials
Joule’s Law
Jordan Curve Property
Johnson–Lindenstrauss embedding
J-Statistic Distribution
Joint Causal Inference
Justify Text Left
Join Operation SQL
Julia Programming Language
Joyces Groups
Jacobian Conjugate
Johnson Criterion Sampling
Julia Programming
Jost Differential Operator
Johnson Distribution Random Variable
Joint Process
Justified Block Paragraph
Johnson Measure Space
Join Relation
Johnson Noise
Jordan Normal Form Decomposition
Jupiter Math Problem
Journeyman Exam
Junior Mathematical League Testing
Journeyman Electrician
Jensen’s Integral Transform
Jordan Elliptic Curves
Jordan Triple System
Jordan Algebra Structure
Justified Text Right

FAQs

What does joint variation mean in math?

Joint variation refers to two quantities changing in proportion to each other. For example, the total cost varies jointly with the number of items purchased.

How is a jubate triangle different from a normal triangle?

A jubate triangle has two smaller isosceles triangles protruding from the base of a larger isosceles triangle, giving it a jagged shape.

What is the significance of the Jacobian matrix?

The Jacobian matrix helps analyze and represent how a function’s outputs vary corresponding to changes in the inputs. It has applications in optimization, machine learning, and physics.

What does the join operation do in set theory?

The join combines two sets to create a new set containing all elements from both original sets. For {a,b} join {b,c} = {a,b,c}.

What does the Jacobi symbol indicate in number theory?

The Jacobi symbol (a/b) indicates whether integer a is a quadratic residue modulo b, meaning if a has a square root solution modulo b. This helps assess solvability.