"framelet" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "frame",
        "3": "let"
      },
      "expansion": "frame + -let",
      "name": "suffix"
    }
  ],
  "etymology_text": "From frame + -let.",
  "forms": [
    {
      "form": "framelets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "framelet (plural framelets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -let",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015 July 27, Bin Han, Qingtang Jiang, Zuowei Shen, Xiaosheng Zhuang, “Symmetric Canonical Quincunx Tight Framelets with High Vanishing Moments and Smoothness [arXiv:1507.07492v1]”, in arXiv:",
          "text": "Such symmetric quincunx tight framelets are associated with quincunx tight framelet filter banks #x5C;#x7B;a#x3B;b#x5F;1,b#x5F;2,b#x5F;3#x5C;#x7D; having increasing orders of vanishing moments and enjoying the additional double canonical properties: b#x5F;1(k#x5F;1,k#x5F;2)#x3D;(-1)#x7B;1#x2B;k#x5F;1#x2B;k#x5F;2#x7D;a(1-k#x5F;1,-k#x5F;2),b#x5F;3(k#x5F;1,k#x5F;2)#x3D;(-1)#x7B;1#x2B;k#x5F;1#x2B;k#x5F;2#x7D;b#x5F;2(1-k#x5F;1,-k#x5F;2). For a low-pass filter a which is not a quincunx orthonormal wavelet filter, we show that a quincunx tight framelet filter bank #x5C;#x7B;a#x3B;b#x5F;1,#x5C;ldots,b#x5F;L#x5C;#x7D; with b#x5F;1 taking the above canonical form must have L#x5C;ge 3 high-pass filters.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A wavelet frame."
      ],
      "id": "en-framelet-en-noun-K9Niemeh",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "wavelet",
          "wavelet"
        ],
        [
          "frame",
          "frame"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A wavelet frame."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "framelet"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "frame",
        "3": "let"
      },
      "expansion": "frame + -let",
      "name": "suffix"
    }
  ],
  "etymology_text": "From frame + -let.",
  "forms": [
    {
      "form": "framelets",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "framelet (plural framelets)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms suffixed with -let",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015 July 27, Bin Han, Qingtang Jiang, Zuowei Shen, Xiaosheng Zhuang, “Symmetric Canonical Quincunx Tight Framelets with High Vanishing Moments and Smoothness [arXiv:1507.07492v1]”, in arXiv:",
          "text": "Such symmetric quincunx tight framelets are associated with quincunx tight framelet filter banks #x5C;#x7B;a#x3B;b#x5F;1,b#x5F;2,b#x5F;3#x5C;#x7D; having increasing orders of vanishing moments and enjoying the additional double canonical properties: b#x5F;1(k#x5F;1,k#x5F;2)#x3D;(-1)#x7B;1#x2B;k#x5F;1#x2B;k#x5F;2#x7D;a(1-k#x5F;1,-k#x5F;2),b#x5F;3(k#x5F;1,k#x5F;2)#x3D;(-1)#x7B;1#x2B;k#x5F;1#x2B;k#x5F;2#x7D;b#x5F;2(1-k#x5F;1,-k#x5F;2). For a low-pass filter a which is not a quincunx orthonormal wavelet filter, we show that a quincunx tight framelet filter bank #x5C;#x7B;a#x3B;b#x5F;1,#x5C;ldots,b#x5F;L#x5C;#x7D; with b#x5F;1 taking the above canonical form must have L#x5C;ge 3 high-pass filters.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A wavelet frame."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "wavelet",
          "wavelet"
        ],
        [
          "frame",
          "frame"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A wavelet frame."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "framelet"
}