Hermite's identity
type: Thing
description: Gives the value of a summation involving the floor function
additional property: PropertyValue
  property ID: P31
  value: theorem
additional property: PropertyValue
  property ID: P138
  value: Charles Hermite
additional property: PropertyValue
  property ID: P646
  value: /m/0crrwz
additional property: PropertyValue
  property ID: P2534
  value: \sum_{k=0}^{n-1}\left\lfloor x+\frac{k}{n}\right\rfloor=\lfloor nx\rfloor
additional property: PropertyValue
  property ID: P6104
  value: WikiProject Mathematics
confidence:
  popularity graph score:
    score: 0.004
    score pct: 0
    tier: long_tail
    components:
      sitelinks: 5
      sitelinks norm: 0.012
      unique citations: 0
      unique citations norm: 0.0
      monthly pageviews: 93
      monthly pageviews norm: 0.0
  sitelinks: 5
  unique citations: 0
  monthly pageviews: 93
  yearly pageviews: 208
  pageview trend:
    m: 2026-08
    v: 93
  pageview trend:
    m: 2026-07
    v: 21
  pageview trend:
    m: 2026-06
    v: 33
  pageview trend:
    m: 2026-05
    v: 16
  pageview trend:
    m: 2026-04
    v: 45
  popularity:
    sitelinks: 5
    max: 423
    pct: 1.2
  tier: long_tail
claims:
  P31:
    value: Q65943
    source count: 0
    confidence: 0.0
    value label: theorem
  P138:
    value: Q168401
    source count: 0
    confidence: 0.0
    value label: Charles Hermite
  P646:
    value: /m/0crrwz
    source count: 0
    confidence: 0.0
  P2534:
    value: \sum_{k=0}^{n-1}\left\lfloor x+\frac{k}{n}\right\rfloor=\lfloor nx\rfloor
    source count: 1
    confidence: 0.2
  P6104:
    value: Q8487137
    source count: 0
    confidence: 0.0
    value label: WikiProject Mathematics
meta:
  wikidata id: Q5741903
  domain: theorem
  level: standard
  html url: https://4ort.xyz/entity/hermite-s-identity
  markdown url: https://4ort.xyz/entity/hermite-s-identity.md
  facts url summary: https://4ort.xyz/entity/hermite-s-identity/facts.json
  facts url standard: https://4ort.xyz/entity/hermite-s-identity/facts.json
  facts url full: https://4ort.xyz/entity/hermite-s-identity/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-24T15:01:54.795317Z
  entity updated at: 2026-05-03T22:54:58.348740+00:00Z
  entity created at: 2026-04-10T23:30:46.794133+00:00Z