{"id":1077,"date":"2022-03-06T17:47:06","date_gmt":"2022-03-06T20:47:06","guid":{"rendered":"https:\/\/numbers-magic.com\/?p=1077"},"modified":"2022-03-06T19:14:29","modified_gmt":"2022-03-06T22:14:29","slug":"patterns-in-single-digits-representations-of-natural-numbers","status":"publish","type":"post","link":"https:\/\/numbers-magic.com\/?p=1077","title":{"rendered":"Patterns In Single Digits Representations of Natural Numbers"},"content":{"rendered":"\n<p>In <a href=\"https:\/\/numbers-magic.com\/?p=1073\" target=\"_blank\" rel=\"noreferrer noopener\">past author wrote natural numbers in terms of single digits<\/a>. See example below:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-medium is-resized\"><img fetchpriority=\"high\" decoding=\"async\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SD-010322-1-300x269.png\" alt=\"\" class=\"wp-image-1078\" width=\"300\" height=\"269\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SD-010322-1-300x269.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SD-010322-1-600x537.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SD-010322-1-1024x917.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SD-010322-1-768x688.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SD-010322-1-535x479.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/SD-010322-1.png 1195w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<p>The total work is done from 1 to 20000 in four parts. See the links below:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>I.J. TANEJA<\/strong>,&nbsp;<a href=\"http:\/\/bit.ly\/2TPjWpK\" target=\"_blank\" rel=\"noreferrer noopener\">Single Digit Representations of Numbers From 1 to 5000<\/a>,&nbsp;<\/li><li><strong>I.J. TANEJA<\/strong>,&nbsp;<a href=\"http:\/\/bit.ly\/2RQpXoA\" target=\"_blank\" rel=\"noreferrer noopener\">Single Digit Representations of Numbers From 5001 to 10000<\/a>,&nbsp;<\/li><li><strong>I.J. TANEJA<\/strong>,&nbsp;<a href=\"http:\/\/bit.ly\/2Thvgee\" target=\"_blank\" rel=\"noreferrer noopener\">Single Digit Representations of Numbers From 10001 to 15000<\/a>;<\/li><li><strong>I.J. TANEJA<\/strong>,&nbsp;<a href=\"http:\/\/bit.ly\/2S87HqT\" target=\"_blank\" rel=\"noreferrer noopener\">Single Digit Representations of Numbers From 15001 to 20000<\/a>;<\/li><\/ol>\n\n\n\n<p>The aim here is to write the numbers from 1 to 1000 in patterned form. It is done in the following work:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Inder J. Taneja, Patterned Single Digits Representations of Natural Numbers,&nbsp;<strong>Zenodo<\/strong>, July 04, 2020, pp. 1-590,&nbsp;<a href=\"https:\/\/doi.org\/10.5281\/zenodo.3930382\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/doi.org\/10.5281\/zenodo.3930382<\/a>.<\/li><\/ul>\n\n\n\n<p>Below are few examples:<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-1 is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"280\" data-id=\"1079\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03-1024x280.png\" alt=\"\" class=\"wp-image-1079\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03-1024x280.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03-600x164.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03-300x82.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03-768x210.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03-535x146.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03-1536x419.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-03.png 1904w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"319\" data-id=\"1080\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06-1024x319.png\" alt=\"\" class=\"wp-image-1080\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06-1024x319.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06-600x187.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06-300x94.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06-768x239.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06-535x167.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06-1536x479.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06.png 1652w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"668\" data-id=\"1082\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228-1024x668.png\" alt=\"\" class=\"wp-image-1082\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228-1024x668.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228-600x391.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228-300x196.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228-768x501.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228-535x349.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228-1536x1001.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-228.png 1701w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"260\" data-id=\"1081\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-1024x260.png\" alt=\"\" class=\"wp-image-1081\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-1024x260.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-600x153.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-300x76.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-768x195.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-535x136.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-1536x391.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-275-2048x521.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"690\" data-id=\"1084\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304-1024x690.png\" alt=\"\" class=\"wp-image-1084\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304-1024x690.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304-600x404.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304-300x202.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304-768x517.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304-535x360.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304-1536x1035.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-304.png 1676w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"557\" data-id=\"1085\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-1024x557.png\" alt=\"\" class=\"wp-image-1085\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-1024x557.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-600x327.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-300x163.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-768x418.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-535x291.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-1536x836.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-476-2048x1115.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"702\" data-id=\"1087\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656-1024x702.png\" alt=\"\" class=\"wp-image-1087\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656-1024x702.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656-600x411.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656-300x206.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656-768x527.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656-535x367.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656-1536x1053.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-656.png 1750w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"574\" data-id=\"1086\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-1024x574.png\" alt=\"\" class=\"wp-image-1086\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-1024x574.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-600x336.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-300x168.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-768x430.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-535x300.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-1536x861.png 1536w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-853-2048x1147.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"782\" data-id=\"1083\" src=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-997-1024x782.png\" alt=\"\" class=\"wp-image-1083\" srcset=\"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-997-1024x782.png 1024w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-997-600x458.png 600w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-997-300x229.png 300w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-997-768x587.png 768w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-997-535x409.png 535w, https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-997.png 1458w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"<p>In past author wrote natural numbers in terms of single digits. See example below: The total work is done from 1 to 20000 in four parts. See the links below: I.J. TANEJA,&nbsp;Single Digit Representations of Numbers From 1 to 5000,&nbsp; I.J. TANEJA,&nbsp;Single Digit Representations of Numbers From 5001 to 10000,&nbsp; I.J. TANEJA,&nbsp;Single Digit Representations of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1080,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[17],"tags":[],"class_list":["post-1077","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-single-digit-and-letter"],"jetpack_featured_media_url":"https:\/\/numbers-magic.com\/wp-content\/uploads\/2022\/03\/sdp-06.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/1077","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1077"}],"version-history":[{"count":2,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/1077\/revisions"}],"predecessor-version":[{"id":1091,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/posts\/1077\/revisions\/1091"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=\/wp\/v2\/media\/1080"}],"wp:attachment":[{"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1077"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1077"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/numbers-magic.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1077"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}