### What does **crunode** mean?

# Definitions for crunode

crun·ode

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **crunode**.

#### Did you actually mean crenate or crinoid?

### Wikipedia

Crunode

In mathematics, a crunode (archaic) or node is a point where a curve intersects itself so that both branches of the curve have distinct tangent lines at the point of intersection. A crunode is also known as an ordinary double point.For a plane curve, defined as the locus of points f (x, y) = 0, where f (x, y) is a smooth function of variables x and y ranging over the real numbers, a crunode of the curve is a singularity of the function f, where both partial derivatives ∂ f ∂ x {\displaystyle {\tfrac {\partial f}{\partial x}}} and ∂ f ∂ y {\displaystyle {\tfrac {\partial f}{\partial y}}} vanish. Further the Hessian matrix of second derivatives will have both positive and negative eigenvalues.

### Webster Dictionary

Crunodenoun

a point where one branch of a curve crosses another branch. See Double point, under Double, a

**Etymology:**[Prob. fr. L. crux a cross + E. node.]

### Wikidata

Crunode

In mathematics, a crunode or node is a point where a curve intersects itself so that both branches of the curve have distinct tangent lines at the point of intersection. For a plane curve, defined as the locus of points f = 0, where f is a smooth function of variables x and y ranging over the real numbers, a crunode of the curve is a singularity of the function f, where both partial derivatives and vanish. Further the Hessian matrix of second derivatives will have both positive and negative eigenvalues.

### Anagrams for crunode »

uncored

### Numerology

Chaldean Numerology

The numerical value of crunode in Chaldean Numerology is:

**5**Pythagorean Numerology

The numerical value of crunode in Pythagorean Numerology is:

**8**

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"crunode." *Definitions.net.* STANDS4 LLC, 2024. Web. 7 Oct. 2024. <https://www.definitions.net/definition/crunode>.

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