A closed curve having the shape of a figure eight or an infinity symbol (∞).
Used in a Sentence
lemniscate
Definitions, parts of speech, synonyms, and sentence examples for lemniscate.
Editorial note
The lemniscate is based on geometric mean, which is basically multiplicative mean and/or mean in log-space -- as opposed to the additive mean in linear space.
Examples17
Definitions3
Parts of speech1
Quick take
A closed curve having the shape of a figure eight or an infinity symbol (∞).
Meaning at a glance
The clearest senses and uses of lemniscate gathered in one view.
(mathematics) Any of a variety of quartic functions producing similar figure-of-eight closed curves.
(mathematics) The lemniscate of Bernoulli
Definitions
Core meanings and parts of speech for lemniscate.
noun
A closed curve having the shape of a figure eight or an infinity symbol (∞).
noun
(mathematics) Any of a variety of quartic functions producing similar figure-of-eight closed curves.
noun
(mathematics) The lemniscate of Bernoulli
Example sentences
The lemniscate is based on geometric mean, which is basically multiplicative mean and/or mean in log-space -- as opposed to the additive mean in linear space.
Years ago I discovered that the lemniscate is the inverse transform of the hyperbola.
The lemniscate is a tiny minority of the entire space, so learning the differential equations lets me substantially improve my predictions of where the particle will be at any moment.
Good idea for future work:) 3: Make sure you try the lemniscate potentials as well which are not rotationally symmetric.
Pi is just the perimeter of the circle, and varpi is the perimeter of the lemniscate.
Note that the Fedora guys superimpose an F over a tilted lemniscate where the MH guys are superimposing a plus.
It is a spinning yin-yang, a lemniscate to the infinite power angled an infinite degrees.
There must be an analogous transform composed of lemniscate sines and cosines?
The broken lemniscate is bizarrely poignant/morbid for a 16*16 pixel square.
The area inside the lemniscate and trilemniscate is the same!
> This ∞-shaped curve is called a ' leminscate ', and ϖ is called the ' lemniscate constant'.
I can see it in two ways: (1) as elongated U-shaped ellipsis that rotates sideways and (2) as bent lemniscate that rotates vertically.
Quote examples
If the horizontal lemniscate is synonymous with DevOps that's exactly what I would expect when searching for "devops".
> ” This ∞-shaped curve is called a 'leminscate', and ϖ is called the 'lemniscate constant'.
Apparently ”lemniscate” is the correct spelling.
It kinda happens to me on firefox, one press of the down arrow scrolls so "Here's a formula for the lemniscate in polar coordinates" in the first reply is at the top of the screen, not helpful.
Proper noun examples
We couldn't find a name for the shape, so we're calling it a 'Recursive Lemniscate.' Curious if anyone recognizes this structure from topology literature.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use lemniscate in a sentence?
The lemniscate is based on geometric mean, which is basically multiplicative mean and/or mean in log-space -- as opposed to the additive mean in linear space.
What does lemniscate mean?
A closed curve having the shape of a figure eight or an infinity symbol (∞).
What part of speech is lemniscate?
lemniscate is commonly used as noun.