#cardinality — Public Fediverse posts

Hi @mariusor,
json-ld has this whim to be completely lost about #cardinality.

In #Mathematics, there are different types of #Infinity, primarily categorized by their size or #Cardinality.

https://knowledgezone.co.in/posts/Infinity-in-Mathematics-67863206a7e475eb5e30404a

Evolution of the notation for the empty set:
0 - George Boole 🇬🇧 (1847)
𝑂 - Georg Cantor 🇩🇪 (1880)
{} - Gottlob Frege 🇩🇪 (1882)
Λ - Giuseppe Peano 🇮🇹 (1889)
∅ - Andre Weil 🇫🇷 (1939)

"Much later, my own part in these discussions earned me the respect of my daughter Nicolette, when she learned the symbol Ø for the empty set at school and I told her that I had been personally responsible for its adoption." - Andre Weil

#Set #EmptySet #NullSet #Null #Zero #Cardinality

Evolution of the notation for the empty set:
0 - George Boole 🇬🇧 (1847)
𝑂 - Georg Cantor 🇩🇪 (1880)
{} - Gottlob Frege 🇩🇪 (1882)
Λ - Giuseppe Peano 🇮🇹 (1889)
∅ - Andre Weil 🇫🇷 (1939)

"Much later, my own part in these discussions earned me the respect of my daughter Nicolette, when she learned the symbol Ø for the empty set at school and I told her that I had been personally responsible for its adoption." - Andre Weil

#Set #EmptySet #NullSet #Null #Zero #Cardinality

Evolution of the notation for the empty set:
0 - George Boole 🇬🇧 (1847)
𝑂 - Georg Cantor 🇩🇪 (1880)
{} - Gottlob Frege 🇩🇪 (1882)
Λ - Giuseppe Peano 🇮🇹 (1889)
∅ - Andre Weil 🇫🇷 (1939)

"Much later, my own part in these discussions earned me the respect of my daughter Nicolette, when she learned the symbol Ø for the empty set at school and I told her that I had been personally responsible for its adoption." - Andre Weil

#Set #EmptySet #NullSet #Null #Zero #Cardinality

Evolution of the notation for the empty set:
0 - George Boole 🇬🇧 (1847)
𝑂 - Georg Cantor 🇩🇪 (1880)
{} - Gottlob Frege 🇩🇪 (1882)
Λ - Giuseppe Peano 🇮🇹 (1889)
∅ - Andre Weil 🇫🇷 (1939)

"Much later, my own part in these discussions earned me the respect of my daughter Nicolette, when she learned the symbol Ø for the empty set at school and I told her that I had been personally responsible for its adoption." - Andre Weil

#Set #EmptySet #NullSet #Null #Zero #Cardinality

Evolution of the notation for the empty set:
0 - George Boole 🇬🇧 (1847)
𝑂 - Georg Cantor 🇩🇪 (1880)
{} - Gottlob Frege 🇩🇪 (1882)
Λ - Giuseppe Peano 🇮🇹 (1889)
∅ - Andre Weil 🇫🇷 (1939)

"Much later, my own part in these discussions earned me the respect of my daughter Nicolette, when she learned the symbol Ø for the empty set at school and I told her that I had been personally responsible for its adoption." - Andre Weil

#Set #EmptySet #NullSet #Null #Zero #Cardinality

Just released: Discrete Math Cheat Sheet by AviMathPerson

Download it free at http://www.cheatography.com/avimathperson/cheat-sheets/discrete-math/?utm_source=mastodon

Here's their description of it: Notes from a course I took in discrete math coving a variety of topics including set theory, relations, cardinality, etc.

@cheatsheets #CheatSheet #CheatSheets #math #functions #discrete #sets #relations #combinatorics #cardinality

from "Was Cantor Surprised?" by Fernando Q. Gouvêa

https://maa.org/sites/default/files/pdf/pubs/AMM-March11_Cantor.pdf?utm_source=dlvr.it&utm_medium=mastodon

#math #settheory #cardinality

How to make high cardinality work in time series databases: Part 1

https://last9.io/blog/how-to-make-high-cardinality-work-in-time-series-databases-part-1/

#TSDB #metrics #monitoring #cardinality

How to make high cardinality work in time series databases: Part 1

https://last9.io/blog/how-to-make-high-cardinality-work-in-time-series-databases-part-1/

#TSDB #metrics #monitoring #cardinality

Something a little different today on the channel: HyperLogLog!

It's one of my favorite algorithms, used to estimate cardinality of a set. Typically used in environments with very large datasets (spread across many servers in a cluster) where a true, accurate distinct count would be very expensive.

HLL uses a simple observation about coin flipping probabilities, and extends that to cardinality estimation. Really clever algo, and provides a very fast and compact datastructure with reasonably small errors (<2% across billions of unique elements, typically in just a few kb of memory).

https://www.youtube.com/watch?v=lJYufx0bfpw

#programming #algorithm #hyperloglog #cardinality #datastructures

Want to know how I significantly reduced resource usage on my Prometheus setup? :prometheus_logo:

Check it out in my latest article 👇

https://medium.com/@dotdc/prometheus-performance-and-cardinality-in-practice-74d5d9cd6230

#prometheus #cardinality #observability #o11y #monitoring