In split-complex numbers, what is the analog of argument of the complex numbers?
I think, it is $\arg(a+bj)=\frac12\log \left(\frac{a+b}{a-b}\right)$.
2026-03-25 22:06:39.1774476399
What is the argument of the split-complex number? Is it the hyperbolic angle of the number's vector?
150 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LOGARITHMS
- Confirmation of Proof: $\forall n \in \mathbb{N}, \ \pi (n) \geqslant \frac{\log n}{2\log 2}$
- Extracting the S from formula
- How to prove the following inequality (log)
- Rewriting $(\log_{11}5)/(\log_{11} 15)$
- How to solve this equation with $x$ to a logarithmic power?
- Show that $\frac{1}{k}-\ln\left(\frac{k+1}{k}\right)$ is bounded by $\frac{1}{k^2}$
- Why do we add 1 to logarithms to get number of digits?
- Is my method correct for to prove $a^{\log_b c} = c^{\log_b a}$?
- How to prove the inequality $\frac{1}{n}+\frac{1}{n+1}+\cdots+\frac{1}{2n-1}\geq \log (2)$?
- Unusual Logarithm Problem
Related Questions in HYPERCOMPLEX-NUMBERS
- Hyper complex number $e_{16}$ had a zero divisor.
- Is it possible to plug hypercomplex numbers into the Riemann Zeta function?
- Rotation around a whole sphere by multiplying a single hypercomplex number forever?
- A simple Variation on the Imaginary Unit i
- Using dual complex numbers for combined rotation and translation
- $\epsilon \otimes 1 + 1 \otimes \epsilon$ is a nilcube in $\mathbb R[\epsilon] \otimes \mathbb R[\epsilon]$. What does that mean intuitively?
- Why intuitively do the quaternions satisfy the mixture of geometric and algebraic properties that they do?
- Construction of Hyper-Complex Numbers
- How quickly can we multiply hypercomplexes?
- Is split-complex $j=i+2\epsilon$?
Related Questions in SPLIT-COMPLEX-NUMBERS
- Square roots of $j$ and $ε$
- What is the symbol for split-complex numbers?
- Split numbers and linear independence of multiplicative inverses
- Relation between hyperbolic numbers and hyperbolic functions
- Reference Request: Split-Complex Numbers
- matrix representations of complex, dual and split-complex numbers
- What shape is the split-complex projective line?
- In split-complex numbers, why modulus of $z=a+bj$ is $a^2-b^2$ and not $\sqrt{a^2-b^2}$?
- Complex numbers, set of values for which z will be purely real or imaginary.
- How do you plot $f(x)=x^2$ in the split-complex plane?
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?