Let's say we live in a world where we have the technology to simulate 4-dimensional graphs with 3-dimensional vision. What will be the variable representing the fourth dimension? We already used x, y, and z to represent the 3 dimensions. There is no letter after z in the latin alphabet.
2026-04-08 03:46:25.1775619985
Fourth variable in 4-dimensional graphs
1.8k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in GRAPHING-FUNCTIONS
- Lower bound of bounded functions.
- Do Irrational Conjugates always come in pairs?
- Graph rotation: explanation of equation
- Plot function y = tan(yx)
- Sketching a lemniscate curve with a max function?
- 3 points on a graph
- show $f(x)=f^{-1}(x)=x-\ln(e^x-1)$
- What is this method of sketching a third degree curve?
- Getting a sense of $f(x) = x (\log x)^6$
- Can I describe an arbitrary graph?
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
This is a general truth in all of mathematics. Go ahead and choose $(n,\kappa,!,\aleph)$, if you wish to do so. In any case, here is another truth that has equal importance:
Therefore it is best not to make choices that are as wild as the extreme example above for your symbols. This is why most real analysis texts keep using the standard $x$ for the real variable$^{(\star)}$, or $(x,y)$ for the variable in $\mathbb R^2$. The common choice for four components, specifically one that readily bypasses the issue you're mentioning, is $(x_1,x_2,x_3,x_4)$.
$^{(\star)}$ Though, for example, I know of a professor at my university that used to teach the whole course with $\lambda$'s instead of $x$'s. That drove students crazy, much to his pleasure — I guess he managed to make his point.