Although rank one constraint system (r1cs) is heavily used in zero-knowledge proofs, I didn't find anywhere details on where the rank comes from.
2026-02-23 10:46:14.1771843574
What does "rank one" in "rank one constraint system" mean?
106 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in MATRICES
- How to prove the following equality with matrix norm?
- I don't understand this $\left(\left[T\right]^B_C\right)^{-1}=\left[T^{-1}\right]^C_B$
- Powers of a simple matrix and Catalan numbers
- Gradient of Cost Function To Find Matrix Factorization
- Particular commutator matrix is strictly lower triangular, or at least annihilates last base vector
- Inverse of a triangular-by-block $3 \times 3$ matrix
- Form square matrix out of a non square matrix to calculate determinant
- Extending a linear action to monomials of higher degree
- Eiegenspectrum on subtracting a diagonal matrix
- For a $G$ a finite subgroup of $\mathbb{GL}_2(\mathbb{R})$ of rank $3$, show that $f^2 = \textrm{Id}$ for all $f \in G$
Related Questions in TERMINOLOGY
- The equivalent of 'quantum numbers' for a mathematical problem
- Does approximation usually exclude equality?
- Forgot the name of a common theorem in calculus
- Name of some projection of sphere onto $\mathbb{R}^2$
- What is $x=5$ called??
- Is there a name for this operation? $f(a, b) = a + (1 - a)b$
- When people say "an algebra" do they always mean "an algebra over a field"?
- What is the term for "in one $n$-space"?
- The product of disjoint cycles
- What about the 'geometry' in 'geometric progression'?
Related Questions in CRYPTOGRAPHY
- What exactly is the definition of Carmichael numbers?
- What if Eve knows the value of $S$ in digital signiture?
- Relative prime message in RSA encryption.
- Encryption with $|K| = |P| = |C| = 1$ is perfectly secure?
- Cryptocurrency Math
- DLP Relationship of primitive roots $\pmod{p}$ with $p$ and $g$
- Hints to prove $2^{(p−1)/2}$ is congruent to 1 (mod p) or p-1 (mod p)
- Period of a binary sequence
- generating function / stream cipher
- RSA, cryptography
Related Questions in CONSTRAINTS
- Optimization - If the sum of objective functions are similar, will sum of argmax's be similar
- Find all local maxima and minima of $x^2+y^2$ subject to the constraint $x^2+2y=6$. Does $x^2+y^2$ have a global max/min on the same constraint?
- Constrained eigenvalue problem
- Constrained optimization where the choice is a function over an interval
- MILP constraints with truth table
- Convexify this optimization problem with one nonlinear (bilinear) constraint
- Second-order cone constraints
- Matching position and rotation of moving target.
- Existence of global minimum $f(x,y,z) = x + y + z$ under the constraint $x^2+xy+2y^2-z=1$
- Constrained Optimization: Lagrange Multipliers
Related Questions in RANK-1-MATRICES
- Does $\det(I+A) = 1 + \mbox{tr}(A)$ hold if $A$ is a rank-$1$ complex matrix?
- Hessian with rank one
- Frobenius and operator norms of rank 1 matrices
- Rank one orthogonal projector matrix.
- Find the eigenvalues and eigenvectors of the matrix $A = uu^t$, where $u\in\mathbb{R}^n$
- How can we show/prove that a rank-$1$ matrix is non-convex?
- Finding the best rank-one approximation of the matrix $\bf A$
- Minimal "dominating" rank-$1$ matrix
- Finding rank-$1$ matrix
- Number of rank 1 matrices with $0/1$ entries?
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?