Matches in SemOpenAlex for { <https://semopenalex.org/work/W3196337384> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W3196337384 abstract "Let $A_{varphi}$ denote the matrix of rotation with angle $varphi$ of the Euclidean plane, FLOOR the function, which rounds a real point to the nearest lattice point down on the left and ROUND the function for rounding off a vector to the nearest node of the lattice. We prove under the natural assumption $varphinot= kfrac{pi}{2}$ that the functions $FLOOR circ A_{varphi}$ and $ROUND circ A_{varphi}$ are neither surjective nor injective. More precisely we prove lower and upper estimates for the size of the sets of lattice points, which are the image of two lattice points as well as of lattice points, which have no preimages. It turns out that the density of that sets are positive except when $sin varphi not= pm cos varphi + r, rin mathbb{Q}$." @default.
- W3196337384 created "2021-09-13" @default.
- W3196337384 creator A5018429960 @default.
- W3196337384 creator A5065048731 @default.
- W3196337384 date "2021-09-04" @default.
- W3196337384 modified "2023-10-18" @default.
- W3196337384 title "Rotation on the digital plane" @default.
- W3196337384 cites W1984154083 @default.
- W3196337384 cites W1991201650 @default.
- W3196337384 cites W2005977969 @default.
- W3196337384 cites W2007343403 @default.
- W3196337384 cites W2037277000 @default.
- W3196337384 cites W2039899292 @default.
- W3196337384 cites W2072472523 @default.
- W3196337384 cites W2576815118 @default.
- W3196337384 cites W3105460266 @default.
- W3196337384 cites W622553139 @default.
- W3196337384 cites W2011995183 @default.
- W3196337384 hasPublicationYear "2021" @default.
- W3196337384 type Work @default.
- W3196337384 sameAs 3196337384 @default.
- W3196337384 citedByCount "0" @default.
- W3196337384 crossrefType "posted-content" @default.
- W3196337384 hasAuthorship W3196337384A5018429960 @default.
- W3196337384 hasAuthorship W3196337384A5065048731 @default.
- W3196337384 hasConcept C114614502 @default.
- W3196337384 hasConcept C121332964 @default.
- W3196337384 hasConcept C128107574 @default.
- W3196337384 hasConcept C129782007 @default.
- W3196337384 hasConcept C24890656 @default.
- W3196337384 hasConcept C2524010 @default.
- W3196337384 hasConcept C2781204021 @default.
- W3196337384 hasConcept C33923547 @default.
- W3196337384 hasConceptScore W3196337384C114614502 @default.
- W3196337384 hasConceptScore W3196337384C121332964 @default.
- W3196337384 hasConceptScore W3196337384C128107574 @default.
- W3196337384 hasConceptScore W3196337384C129782007 @default.
- W3196337384 hasConceptScore W3196337384C24890656 @default.
- W3196337384 hasConceptScore W3196337384C2524010 @default.
- W3196337384 hasConceptScore W3196337384C2781204021 @default.
- W3196337384 hasConceptScore W3196337384C33923547 @default.
- W3196337384 hasLocation W31963373841 @default.
- W3196337384 hasOpenAccess W3196337384 @default.
- W3196337384 hasPrimaryLocation W31963373841 @default.
- W3196337384 hasRelatedWork W1529419429 @default.
- W3196337384 hasRelatedWork W1599299399 @default.
- W3196337384 hasRelatedWork W1867001753 @default.
- W3196337384 hasRelatedWork W2002539838 @default.
- W3196337384 hasRelatedWork W2095405153 @default.
- W3196337384 hasRelatedWork W2183768374 @default.
- W3196337384 hasRelatedWork W2224617013 @default.
- W3196337384 hasRelatedWork W2502308963 @default.
- W3196337384 hasRelatedWork W2623385784 @default.
- W3196337384 hasRelatedWork W2764196873 @default.
- W3196337384 hasRelatedWork W2794356993 @default.
- W3196337384 hasRelatedWork W2901133397 @default.
- W3196337384 hasRelatedWork W2908523140 @default.
- W3196337384 hasRelatedWork W2952694642 @default.
- W3196337384 hasRelatedWork W3098727812 @default.
- W3196337384 hasRelatedWork W3099624737 @default.
- W3196337384 hasRelatedWork W3101013749 @default.
- W3196337384 hasRelatedWork W3106464083 @default.
- W3196337384 hasRelatedWork W3125537384 @default.
- W3196337384 hasRelatedWork W326952175 @default.
- W3196337384 isParatext "false" @default.
- W3196337384 isRetracted "false" @default.
- W3196337384 magId "3196337384" @default.
- W3196337384 workType "article" @default.