tag:blogger.com,1999:blog-34475709346909848992024-03-08T22:29:26.231+08:00Mathematics RealmEnter the world of possibilities. Enter the world of fun. Enter the world of numbers - the realm of mathematics!Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.comBlogger68125tag:blogger.com,1999:blog-3447570934690984899.post-69615864586464342542020-11-17T14:32:00.000+08:002020-11-17T14:32:35.630+08:00A playlist on Arithmetic Sequences and Series<div class="kvgmc6g5 cxmmr5t8 oygrvhab hcukyx3x c1et5uql ii04i59q" style="background-color: white; color: #050505; margin: 0px; overflow-wrap: break-word; white-space: pre-wrap;"><div dir="auto"><div class="separator" style="clear: both; text-align: center;"><a href="https://www.youtube.com/watch?v=Y9W0MYtugbw&list=PLz1HIqgGM4MuAtQfnbTEM1ybfGQ1I5nsH" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="maths, arithmetic, arithmetic sequence, arithmetic progression, common difference, nth term, finding unknown, explicit formula, general rule, patterns, maths revisions, pure maths, pure mathematics 1, as level exam, examination reviewer" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://1.bp.blogspot.com/-L_pNi0Txh4Y/X7NtJqAs-PI/AAAAAAAAlck/hrZYF_Z6xoQKKYCYAxKsbmh379lpWpuegCLcBGAsYHQ/w640-h360/Playlist%2Bon%2BArithmetic%2BSequence%2Band%2BSeries.png" title="playlist math tutorial videos on arithmetic sequences and series" width="640" /></a></div><span style="font-family: arial;"><br /></span></div><div dir="auto"><span style="font-family: arial;">A playlist of math tutorial videos on arithmetic sequences and series. Check out my youtube channel: <a class="oajrlxb2 g5ia77u1 qu0x051f esr5mh6w e9989ue4 r7d6kgcz rq0escxv nhd2j8a9 nc684nl6 p7hjln8o kvgmc6g5 cxmmr5t8 oygrvhab hcukyx3x jb3vyjys rz4wbd8a qt6c0cv9 a8nywdso i1ao9s8h esuyzwwr f1sip0of lzcic4wl py34i1dx gpro0wi8" href="https://www.youtube.com/channel/UCAPOq1m1C_MQgp6kKD-ppRg?fbclid=IwAR0m27xbXwG1aHMZhwBb1uHJHSFJh3vffdjvbHNHSCSVDoFB6uuMYA-DmUw" rel="nofollow noopener" role="link" style="-webkit-tap-highlight-color: transparent; background-color: transparent; border-color: initial; border-style: initial; border-width: 0px; box-sizing: border-box; cursor: pointer; display: inline; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: inherit; text-decoration-line: none; touch-action: manipulation;" tabindex="0" target="_blank">https://www.youtube.com/channel/UCAPOq1m1C_MQgp6kKD-ppRg</a></span></div></div><div class="o9v6fnle cxmmr5t8 oygrvhab hcukyx3x c1et5uql ii04i59q" style="background-color: white; margin: 0.5em 0px 0px; overflow-wrap: break-word; white-space: pre-wrap;"><div dir="auto" style="color: #050505;"><span style="font-family: arial;">The playlist contains detailed discussions on various math topics. The practice items given also gives an opportunity for viewers to apply what have been discussed. There is also a summary at the end of the lesson. </span></div><div dir="auto" style="color: #050505;"><span style="font-family: arial;"><br /></span></div><div dir="auto" style="color: #050505;"><span style="font-family: arial;">You can watch the videos here on this link: </span></div><div dir="auto"><span style="color: #cc0000; font-family: arial; font-size: medium;"><b>>>><a href="https://www.youtube.com/watch?v=Y9W0MYtugbw&list=PLz1HIqgGM4MuAtQfnbTEM1ybfGQ1I5nsH" target="_blank">PLAYLIST ON ARITHMETIC SEQUENCES AND SERIES</a><<<</b></span></div><div dir="auto" style="color: #050505;"><br /></div></div><div class="o9v6fnle cxmmr5t8 oygrvhab hcukyx3x c1et5uql ii04i59q" style="background-color: white; color: #050505; margin: 0.5em 0px 0px; overflow-wrap: break-word; white-space: pre-wrap;"><div dir="auto"><span style="font-family: arial;">Please consider subscribing and sharing it to your friends.. thank you! <span class="pq6dq46d tbxw36s4 knj5qynh kvgmc6g5 ditlmg2l oygrvhab nvdbi5me sf5mxxl7 gl3lb2sf hhz5lgdu" style="display: inline-flex; 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background-color: transparent; border-color: initial; border-style: initial; border-width: 0px; box-sizing: border-box; cursor: pointer; display: inline; font-weight: 600; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: inherit; text-decoration-line: none; touch-action: manipulation;" tabindex="0">#algebrahelp</a></span><span style="background-color: white; color: #050505; white-space: pre-wrap;"> </span><span style="background-color: white; color: #050505; white-space: pre-wrap;"><a class="oajrlxb2 g5ia77u1 qu0x051f esr5mh6w e9989ue4 r7d6kgcz rq0escxv nhd2j8a9 nc684nl6 p7hjln8o kvgmc6g5 cxmmr5t8 oygrvhab hcukyx3x jb3vyjys rz4wbd8a qt6c0cv9 a8nywdso i1ao9s8h esuyzwwr f1sip0of lzcic4wl oo9gr5id gpro0wi8 lrazzd5p" href="https://www.facebook.com/hashtag/algebraic?__eep__=6&__cft__[0]=AZXUGYNrF8spupYS94dMFyBJZKUMvigAuyfBSbB7rjFzuxrf9Ln2bll3JUwt617LJpgMw1iaU5kJfPqlAhqnAN8L1BS26Z6OUhft37Pir_61-VFSWDLCppL40A75D1BXjCo67nKrqNnepEbElkmZaD0YaZ3YOdNBbz6y3tejbLjINeV0GahcpJTUTdgTiWg-sR8&__tn__=*NK-R" role="link" style="-webkit-tap-highlight-color: transparent; background-color: transparent; border-color: initial; border-style: initial; border-width: 0px; box-sizing: border-box; cursor: pointer; display: inline; font-weight: 600; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: inherit; text-decoration-line: none; touch-action: manipulation;" tabindex="0">#algebraic</a></span><span style="background-color: white; color: #050505; white-space: pre-wrap;"> </span><span style="background-color: white; color: #050505; white-space: pre-wrap;"><a class="oajrlxb2 g5ia77u1 qu0x051f esr5mh6w e9989ue4 r7d6kgcz rq0escxv nhd2j8a9 nc684nl6 p7hjln8o kvgmc6g5 cxmmr5t8 oygrvhab hcukyx3x jb3vyjys rz4wbd8a qt6c0cv9 a8nywdso i1ao9s8h esuyzwwr f1sip0of lzcic4wl oo9gr5id gpro0wi8 lrazzd5p" href="https://www.facebook.com/hashtag/algebraicgeometry?__eep__=6&__cft__[0]=AZXUGYNrF8spupYS94dMFyBJZKUMvigAuyfBSbB7rjFzuxrf9Ln2bll3JUwt617LJpgMw1iaU5kJfPqlAhqnAN8L1BS26Z6OUhft37Pir_61-VFSWDLCppL40A75D1BXjCo67nKrqNnepEbElkmZaD0YaZ3YOdNBbz6y3tejbLjINeV0GahcpJTUTdgTiWg-sR8&__tn__=*NK-R" role="link" style="-webkit-tap-highlight-color: transparent; background-color: transparent; border-color: initial; border-style: initial; border-width: 0px; box-sizing: border-box; cursor: pointer; display: inline; font-weight: 600; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: inherit; text-decoration-line: none; touch-action: manipulation;" tabindex="0">#algebraicgeometry</a></span><span style="background-color: white; color: #050505; white-space: pre-wrap;"> </span><span style="background-color: white; color: #050505; white-space: pre-wrap;"><a class="oajrlxb2 g5ia77u1 qu0x051f esr5mh6w e9989ue4 r7d6kgcz rq0escxv nhd2j8a9 nc684nl6 p7hjln8o kvgmc6g5 cxmmr5t8 oygrvhab hcukyx3x jb3vyjys rz4wbd8a qt6c0cv9 a8nywdso i1ao9s8h esuyzwwr f1sip0of lzcic4wl oo9gr5id gpro0wi8 lrazzd5p" href="https://www.facebook.com/hashtag/mathematiques?__eep__=6&__cft__[0]=AZXUGYNrF8spupYS94dMFyBJZKUMvigAuyfBSbB7rjFzuxrf9Ln2bll3JUwt617LJpgMw1iaU5kJfPqlAhqnAN8L1BS26Z6OUhft37Pir_61-VFSWDLCppL40A75D1BXjCo67nKrqNnepEbElkmZaD0YaZ3YOdNBbz6y3tejbLjINeV0GahcpJTUTdgTiWg-sR8&__tn__=*NK-R" role="link" style="-webkit-tap-highlight-color: transparent; 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background-color: transparent; border-color: initial; border-style: initial; border-width: 0px; box-sizing: border-box; cursor: pointer; display: inline; font-weight: 600; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: inherit; text-decoration-line: none; touch-action: manipulation;" tabindex="0">#mathlearning</a></span><span style="background-color: white; color: #050505; white-space: pre-wrap;"> </span><span style="background-color: white; color: #050505; white-space: pre-wrap;"><a class="oajrlxb2 g5ia77u1 qu0x051f esr5mh6w e9989ue4 r7d6kgcz rq0escxv nhd2j8a9 nc684nl6 p7hjln8o kvgmc6g5 cxmmr5t8 oygrvhab hcukyx3x jb3vyjys rz4wbd8a qt6c0cv9 a8nywdso i1ao9s8h esuyzwwr f1sip0of lzcic4wl oo9gr5id gpro0wi8 lrazzd5p" href="https://www.facebook.com/hashtag/mathhelp?__eep__=6&__cft__[0]=AZXUGYNrF8spupYS94dMFyBJZKUMvigAuyfBSbB7rjFzuxrf9Ln2bll3JUwt617LJpgMw1iaU5kJfPqlAhqnAN8L1BS26Z6OUhft37Pir_61-VFSWDLCppL40A75D1BXjCo67nKrqNnepEbElkmZaD0YaZ3YOdNBbz6y3tejbLjINeV0GahcpJTUTdgTiWg-sR8&__tn__=*NK-R" role="link" style="-webkit-tap-highlight-color: transparent; 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background-color: transparent; border-color: initial; border-style: initial; border-width: 0px; box-sizing: border-box; cursor: pointer; display: inline; font-weight: 600; list-style: none; margin: 0px; outline: none; padding: 0px; text-align: inherit; text-decoration-line: none; touch-action: manipulation;" tabindex="0">#middleschoolmathtutor</a></span><span style="background-color: white; color: #050505; white-space: pre-wrap;"> </span><span style="background-color: white; color: #050505; white-space: pre-wrap;"><a class="oajrlxb2 g5ia77u1 qu0x051f esr5mh6w e9989ue4 r7d6kgcz rq0escxv nhd2j8a9 nc684nl6 p7hjln8o kvgmc6g5 cxmmr5t8 oygrvhab hcukyx3x jb3vyjys rz4wbd8a qt6c0cv9 a8nywdso i1ao9s8h esuyzwwr f1sip0of lzcic4wl oo9gr5id gpro0wi8 lrazzd5p" href="https://www.facebook.com/hashtag/middleschoolmathteachers?__eep__=6&__cft__[0]=AZXUGYNrF8spupYS94dMFyBJZKUMvigAuyfBSbB7rjFzuxrf9Ln2bll3JUwt617LJpgMw1iaU5kJfPqlAhqnAN8L1BS26Z6OUhft37Pir_61-VFSWDLCppL40A75D1BXjCo67nKrqNnepEbElkmZaD0YaZ3YOdNBbz6y3tejbLjINeV0GahcpJTUTdgTiWg-sR8&__tn__=*NK-R" role="link" style="-webkit-tap-highlight-color: transparent; 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vertical-align: baseline;">www.igcseatmathematicsrealm.blogspot.com</a> </span></span></span></div><div style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px;"><span style="font-family: arial; font-size: medium;"><a href="http://www.ciemathsolutions.blogspot.com/" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</span></a> </span></div>Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-38294313143528061202020-10-19T18:13:00.002+08:002020-10-19T18:13:26.405+08:00Finding the rule for the nth term of a given arithmetic sequence or arithmetic progression<p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://1.bp.blogspot.com/-YBTvko2acKk/X41ll1yksCI/AAAAAAAAkpE/W64VFTI4nzIIaaJETHKm6czs5G4CdaI_ACLcBGAsYHQ/s1280/Finding%2Bthe%2Bnth%2Bterm%2Bof%2Ba%2Bgiven%2Barithmetic%2Bprogression.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="algebra, pure maths, arithmetic sequence, arithmetic progression, arithmetic sequence and series, introduction to sequences, ap class 10, common difference, first term, nth term, math tutorial videos, math channel, cie math solutions, youtube channel" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://1.bp.blogspot.com/-YBTvko2acKk/X41ll1yksCI/AAAAAAAAkpE/W64VFTI4nzIIaaJETHKm6czs5G4CdaI_ACLcBGAsYHQ/w640-h360/Finding%2Bthe%2Bnth%2Bterm%2Bof%2Ba%2Bgiven%2Barithmetic%2Bprogression.PNG" title="Finding the nth term of a given arithmetic sequence or progression" width="640" /></a></div><p></p><p>
<iframe allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/luG7r889PRY" width="560"></iframe> </p><p><span style="background-color: #f9fcff; color: #5b6b7e; font-family: arial;">This is another video in the series of tutorial videos on sequences and series. </span></p><p><span style="background-color: #f9fcff; color: #5b6b7e; font-family: arial;">This video discusses the process of finding the first three terms of a given rule of an arithmetic sequence or progression , and vice versa; that is, finding the general rule when the first three terms are given. It includes detailed examples for each topic. It also offers viewers practice exercise to apply what has been discussed.</span></p><p><span style="color: #5b6b7e; font-family: arial;">Your comments and suggestions are welcome here. Write them in the comment box below. 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<div><br /></div><div><span style="font-family: arial; font-size: medium;">This video is a comprehensive reference on the studying and/or recalling the basic concepts of arithmetic sequences or arithmetic progressions. It includes the basic notations and terms used in the sequence. It also provides ample examples to understand the basic processes. </span></div><div><br /></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;">Your comments and suggestions are welcome here. Write them in the comment box below. 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gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/W-f_iMMmL7E" width="560"></iframe><p><span style="font-family: arial;">Thank you to all who have subscribed the Youtube Channe: CIE Math Solutions.</span></p><p><span style="font-family: arial;">If you have not subscribed yet, please consider subscribing! 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Thank you and God bless! </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: small;"><br /></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: small;">------------------------------------------------------------------------------------------------------------------------ Thank you for your continued support! </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; 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margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: small;">Youtube Channel: <a href="https://www.youtube.com/channel/UCAPOq1m1C_MQgp6kKD-ppRg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">CIE Math Solutions</a> </span></span></div><div style="background-attachment: initial; 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background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: small;"><a href="http://www.learnatmathematicsrealm.blogspot.com/" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;">www.learnatmathematicsrealm.blogspot.com</a> </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: small;"><a href="http://www.igcseatmathematicsrealm.blogspot.com/" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; 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text-align: center;"><a href="https://www.youtube.com/channel/UCAPOq1m1C_MQgp6kKD-ppRg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="CIE Math Solutions, math, maths, math proofs, derivations, math tutorial videos, math lessons, math tutor, visual representations of math, block modelling in math, math is fun, puzzles and tricks, math competitions, math olympiads, algebra, pure maths, statistics, probability, geometry, trigonometry, youtube channel, math channel, math help, math sites, math resources" border="0" data-original-height="1577" data-original-width="1813" height="557" src="https://1.bp.blogspot.com/-2iTI0Yhm_yw/X0TPE-y8GLI/AAAAAAAAjQk/wU6_7gQLjV8y9FZ-n9ygXtvZji3FXFxeACLcBGAsYHQ/w640-h557/CIE%2BMath%2BSolutions%2B2.png" title="CIE Math Solutions youtube channel" width="640" /></a></div><p></p><p>Please support my new youtube channel <a href="https://www.youtube.com/channel/UCAPOq1m1C_MQgp6kKD-ppRg" target="_blank">CIE Math Solutions</a>!</p><p>Please like, subscribe and share to your friends. Thank you!</p><p><br /></p><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: inherit; font-size: small;">Your comments and suggestions are welcome here. Write them in the comment box below. </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: inherit; font-size: small;">Thank you and God bless! </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: inherit; font-size: small;">------------------------------------------------------------------------------------------------------------------------ </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: inherit; font-size: small;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: inherit; font-size: small;">Thank you for your continued support! </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: inherit; font-size: small;">Please subscribe and share! </span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; 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background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="http://www.ciemathsolutions.blogspot.com/" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: inherit; font-size: small;">www.ciemathsolutions.blogspot.com</span></a></span></div><p><br /></p>Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-38087793715563131832019-05-18T22:25:00.000+08:002019-05-18T22:36:35.488+08:00Mathematics Allow Things to Happen (Math Quotes)<div dir="ltr" style="text-align: left;" trbidi="on">
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These are the three versions of the math quote: Math Allow Thinking to Happen. </div>
Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-91512763393301832462019-05-15T19:50:00.000+08:002019-05-15T19:50:40.524+08:00MATHEMATICS OF LIFE (Updated)<div dir="ltr" style="text-align: left;" trbidi="on">
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This equation shows that life is not always about happiness. It is a mixture of both happiness and sadness. That makes it colourful and beautiful. </div>
Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-15488441899146961872019-04-05T17:40:00.001+08:002019-04-06T09:57:22.920+08:00CIE Math Solutions blog<div dir="ltr" style="text-align: left;" trbidi="on">
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com1tag:blogger.com,1999:blog-3447570934690984899.post-45201788586517634302016-12-02T19:11:00.001+08:002016-12-02T19:11:51.745+08:00Mathematics Blogs<div dir="ltr" style="text-align: left;" trbidi="on">
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I was very very busy that I seldom visit my blogs. However, I am very happy and thankful that although I was detached, people online continue to visit and follow the blogs I have made. That is very fulfilling for me. Thank you very much!<br />
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Here are the list of my other blogs aside from Mathematics Realm:<br />
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1)<a href="http://learnatmathematicsrealm.blogspot.co.id/" target="_blank"> Learn at Mathematics Realm</a><br />
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This blog is continually developing. It is intended to help students and educators on basic and advanced concepts in Mathematics. It provides information, lessons and tutorials on specific topics from different areas of Mathematics.<br />
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2) <a href="http://igcseatmathematicsrealm.blogspot.co.id/" target="_blank">IGCSE at Mathematics Realm</a><br />
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This blog is for students who are taking Cambridge International General Certificate of Secondary Education (IGCSE) or O Level Mathematics. It provides illustrations and detailed solution of IGCSE past paper items. Items are of varying difficulties.<br />
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3) <a href="http://ciemathsolutions.blogspot.co.id/" target="_blank">CIE Math Solutions</a><br />
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This is my youngest blog. It aims to include all Cambridge International Examinations (CIE) Mathematics. Some of them are Cambridge IGCSE Mathematics (0580), Cambridge O-Level Mathematics D (4024), Cambridge Additional Mathematics (4037 or 0606), and Cambridge AS and A Level Mathematics (9709). All items are from past papers with full illustrations, calculations and explanations.<br />
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com7tag:blogger.com,1999:blog-3447570934690984899.post-43968283890989948272016-11-25T12:34:00.000+08:002016-11-25T12:34:20.092+08:00REALITIES of LIFE<div dir="ltr" style="text-align: left;" trbidi="on">
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Three realities in life that we need to ponder....<br />
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-44955402536915054962015-03-21T12:51:00.000+08:002015-03-21T12:51:53.224+08:00BEAUTY OF MATHEMATICS 5<div dir="ltr" style="text-align: left;" trbidi="on">
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-o81C1yaA6Jo/VQz35OOL0tI/AAAAAAAABs4/Qw1WUqqPlak/s1600/architectural%2Bsymmetry.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="mathematics,circle,mirror,geometry,beauty,photography,color,architecture,engineering" border="0" src="http://4.bp.blogspot.com/-o81C1yaA6Jo/VQz35OOL0tI/AAAAAAAABs4/Qw1WUqqPlak/s1600/architectural%2Bsymmetry.JPG" height="480" title="symmetry" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Notre Dame Cathedral, Ho Chi Minh City, Vietnam</td></tr>
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<span style="color: #5b6b7e; font-family: Arial, Helvetica, sans-serif;"><span style="background-color: #f9fcff; font-size: 12px; line-height: 20px;">The photo aboe is taken at the Notre Dame Cathedral located at the downtown of Ho Chi Minh City, Vietnam. This is just one of the photos I have taken when I was there. This is actually the side part of the cathedral.</span></span><br />
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<span style="color: #5b6b7e; font-family: Arial, Helvetica, sans-serif;"><span style="background-color: #f9fcff; font-size: 12px; line-height: 20px;">The cathedral, depicts architectural symmetries, both inside and outside. The windows and doors are perfectly placed that adds to its aesthetic value. The presence of circles and curves perfect aligned added with very intricate details gives an excellent texture to its beauty. </span></span><br />
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<span style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;">Make me wonder, how many windows are there in the cathedral? I did not have the chance to count them all. </span><br />
<span style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;">With its intricate details, the cathedral was constructed between 1863 and 1888. How many people worked for the construction of the cathedral? </span><br />
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<span style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;">What do you think?</span><br />
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<a href="http://3.bp.blogspot.com/-28wYwytvRd8/VQz4mTx_EQI/AAAAAAAABtA/-fYYRqU6MD8/s1600/architectural%2Bsymmetry%2B(small).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="mathematics,circle,mirror,geometry,beauty,photography,color,architecture,engineering" border="0" src="http://3.bp.blogspot.com/-28wYwytvRd8/VQz4mTx_EQI/AAAAAAAABtA/-fYYRqU6MD8/s1600/architectural%2Bsymmetry%2B(small).jpg" height="240" title="symmetry" width="320" /></a></div>
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<span style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;">Your comments and suggestions are welcome here. Just write them on the comment box below.</span><br style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;" /><span style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;"><br /></span><span style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;"></span><span style="background-color: #f9fcff; color: #5b6b7e; font-family: Arial, Helvetica, sans-serif; font-size: 12px; line-height: 20px;">Thank you and God bless!</span></div>
Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com3tag:blogger.com,1999:blog-3447570934690984899.post-35383109349087685322015-02-01T14:27:00.002+08:002015-02-01T14:27:54.769+08:00CONNECTING DOTS WITH LINES (PART 2)<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://2.bp.blogspot.com/-TpeZ8HU1Q_Y/VM3GzSHdVHI/AAAAAAAABaA/trlbgts1yW0/s1600/12%2BPOINTS%2BPUZZLE.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="mathematics, igcse, math trivia, math puzzles, math applications, math tricks, math fun, daily math, geometry, construction, lines, points" border="0" src="http://2.bp.blogspot.com/-TpeZ8HU1Q_Y/VM3GzSHdVHI/AAAAAAAABaA/trlbgts1yW0/s1600/12%2BPOINTS%2BPUZZLE.jpg" height="300" title="puzzle" width="400" /></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;">This is the second part of the the post <a href="http://mathematicsrealm.blogspot.com/2013/03/connecting-dots-with-lines.html" target="_blank">Connecting Dots With Lines</a>. In the previous post, the solution of the puzzle of connecting nine (9) dots with four (4) lines only was shown. Possible and common wrong answers are also shown with corresponding reasons why they are not the correct solutions.</span><br />
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<span style="font-family: Trebuchet MS, sans-serif;">This time, it involves twelve (12) dots. <span style="background-color: #f9fcff; line-height: 20px;">Your goal is to connect all of them by using five (5) lines only without lifting your pens, without retracing - the last segment must stop at where the first segment started. (Hint: You can cross another line.)</span></span></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><span style="background-color: #f9fcff; line-height: 20px;">Can you do it?</span></span><br />
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<a href="http://3.bp.blogspot.com/-969F6KiPbKE/VM3HK1J6IVI/AAAAAAAABaI/J--x9LAHKAY/s1600/12%2BPOINTS%2BPUZZLE%2B(small).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-969F6KiPbKE/VM3HK1J6IVI/AAAAAAAABaI/J--x9LAHKAY/s1600/12%2BPOINTS%2BPUZZLE%2B(small).jpg" height="300" width="400" /></a></div>
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<span style="font-family: Trebuchet MS, sans-serif;"><span style="background-color: #f9fcff; line-height: 20px;">Your comments and suggestions are welcome here. Just write them in the comment box below.</span></span><br />
<span style="font-family: Trebuchet MS, sans-serif;"><span style="background-color: #f9fcff; line-height: 20px;"><br /></span></span>
<span style="font-family: Trebuchet MS, sans-serif;"><span style="background-color: #f9fcff; line-height: 20px;">Thank you and God bless!</span></span></div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-13122878967893195752014-12-11T22:48:00.000+08:002014-12-11T23:02:23.929+08:00HAPPY HOLIDAYS TO ALL!<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://2.bp.blogspot.com/-hoiE9qQFV9M/VIms0owohNI/AAAAAAAABSg/Q4kaIwbqUS4/s1600/Beauty%2Bof%2BMathematics%2B(Christmas).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="mathematics,photography,colors,circles,geometry,arts,malls,structures" border="0" src="http://2.bp.blogspot.com/-hoiE9qQFV9M/VIms0owohNI/AAAAAAAABSg/Q4kaIwbqUS4/s1600/Beauty%2Bof%2BMathematics%2B(Christmas).jpg" height="480" title="Christmas" width="640" /></a></div>
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REALM OF MATHEMATICS would like to greet all of you a MERRY CHRISTMAS and a HAPPY NEW YEAR!!!<br />
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May you enjoy the season with your love ones. Happy holidays!<br />
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<a href="http://1.bp.blogspot.com/--4u9hK0TMJw/VImxwksLSII/AAAAAAAABSw/TDWQQrMy6LI/s1600/Beauty%2Bof%2BMathematics%2B(Christmas)small.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="mathematics,photography,colors,circles,geometry,arts,malls,structures" border="0" src="http://1.bp.blogspot.com/--4u9hK0TMJw/VImxwksLSII/AAAAAAAABSw/TDWQQrMy6LI/s1600/Beauty%2Bof%2BMathematics%2B(Christmas)small.jpg" height="300" title="Christmas" width="400" /></a></div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-52428211154259130152014-10-26T23:43:00.001+08:002014-10-27T19:51:24.215+08:00BEAUTY OF MATHEMATICS 4<div dir="ltr" style="text-align: left;" trbidi="on">
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<tr><td class="tr-caption" style="text-align: center;"><i>The Technohub, Quezon City, Philippines</i></td></tr>
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<span style="font-family: Arial, Helvetica, sans-serif;">The photo above is the 3rd of the photos taken at <i>The Technohub</i> located at Quezon City, Philippines. The fountains depict a common mathematical graph, which is the parabola. In Physics, it is called the projectile. </span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">The amount of force needed to push the water upward is very important in determining the height of the fountain. The greater the force, the higher the fountain is. </span><span style="font-family: Arial, Helvetica, sans-serif;">The varying heights of the fountains contribute to the beauty of the facade of the park. </span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">Your comments and suggestions are welcome here. Just write them on the comment box below.</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">Thank you and God bless!</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"><a href="http://3.bp.blogspot.com/-HeXxFf3pqh8/VE0WEv_F2mI/AAAAAAAABQk/hPaXqDytkOA/s1600/Projectile2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-HeXxFf3pqh8/VE0WEv_F2mI/AAAAAAAABQk/hPaXqDytkOA/s1600/Projectile2.jpg" height="240" width="320" /></a></span></div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-12114751918573684542014-10-12T16:04:00.001+08:002014-10-12T16:46:08.976+08:00BEAUTY OF MATHEMATICS 3<div dir="ltr" style="text-align: left;" trbidi="on">
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<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-y1a5nVDs_Zw/VDo1JIRyPoI/AAAAAAAABOY/BpUUvCNrkAk/s1600/spheres.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math" border="0" src="http://4.bp.blogspot.com/-y1a5nVDs_Zw/VDo1JIRyPoI/AAAAAAAABOY/BpUUvCNrkAk/s1600/spheres.JPG" height="480" title="mathematics" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><i>Technohub - Quezon City, Philippines</i></td></tr>
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The picture above is also taken at <i>The Technohub</i> in Quezon City, Philippines. It portrays the use of spheres as part of the facade of the park. They add more mathematical aesthetic together with the curvature formed by the establishments around it.<br />
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The spheres used vary in sizes. Can you approximate the diameter of each? How about their volumes?</div>
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Your comments and suggestions are welcome here. Just write them on the comment box below.</div>
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Thank you and God bless!<br />
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<a href="http://2.bp.blogspot.com/-q8lo72_o62o/VDo_m8neOfI/AAAAAAAABPM/JKWGnrzvRmg/s1600/spheres2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math" border="0" src="http://2.bp.blogspot.com/-q8lo72_o62o/VDo_m8neOfI/AAAAAAAABPM/JKWGnrzvRmg/s1600/spheres2.jpg" height="240" title="mathematics" width="320" /></a></div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-85265890488773532612014-09-13T12:11:00.000+08:002014-10-12T16:41:49.848+08:00THE BEAUTY OF MATHEMATICS 2<div dir="ltr" style="text-align: left;" trbidi="on">
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<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-VfYihrSMrKw/VBPHlSS2NqI/AAAAAAAABMo/RvE5y8oyUlk/s1600/Beauty%2Bof%2BMathematics%2B2.JPG" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="photography,lines,curves,geometry,architecture,beauty,math arts,everyday math,math appreciation" border="0" src="http://4.bp.blogspot.com/-VfYihrSMrKw/VBPHlSS2NqI/AAAAAAAABMo/RvE5y8oyUlk/s1600/Beauty%2Bof%2BMathematics%2B2.JPG" height="480" title="mathematics" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><i>The Technohub - Quezon City, Philippines</i></td></tr>
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This is a photo taken at <i>The Technohub</i> located near the University of the Philippines, Diliman, Quezon City.We met our friends here just for a hangout, sharing stories and laughters, just like the old times.<br />
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The photo shows a balance between the use of curved <a href="http://mathematicsrealm.blogspot.com/search/label/lines" target="_blank">lines</a> and straight lines. The harmony of lines and their symmetry created a beautiful facade. A facade that shows how beautiful <a href="http://www.learnatmathematicsrealm.blogspot.com/" target="_blank">mathematics</a> is.<br />
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Your comments and suggestions are welcome here. You may write them in the comment box below.<br />
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Please don't forget to like and share, Thank you and God bless!<br />
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<a href="http://2.bp.blogspot.com/-5pauHvAlDTo/VDo-fol6H1I/AAAAAAAABPA/-KHRNujgW1A/s1600/Beauty%2Bof%2BMathematics%2B2%2B(small).jpg" imageanchor="1"><img alt="photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math" border="0" src="http://2.bp.blogspot.com/-5pauHvAlDTo/VDo-fol6H1I/AAAAAAAABPA/-KHRNujgW1A/s1600/Beauty%2Bof%2BMathematics%2B2%2B(small).jpg" height="240" title="mathematics" width="320" /></a></div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-24678183634989071312014-09-07T16:38:00.000+08:002014-10-12T16:43:14.197+08:00BEAUTY OF MATHEMATICS<div dir="ltr" style="text-align: left;" trbidi="on">
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<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-LUa-h1gbjMI/VDo61CHO0dI/AAAAAAAABOo/uiWqEpb-ofE/s1600/Beauty%2Bof%2BMathematics%2B1.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img alt="photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math" border="0" src="http://4.bp.blogspot.com/-LUa-h1gbjMI/VDo61CHO0dI/AAAAAAAABOo/uiWqEpb-ofE/s1600/Beauty%2Bof%2BMathematics%2B1.jpg" height="480" title="mathematics" width="640" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;"><i>The Philippine International Convention Center</i></td></tr>
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Today, I will be starting a series of photos entitled "<i>The Beauty of Mathematics". </i>This series of photos are taken from different places, different environments, different methods used in taking the photos, different angles, different focuses, different mathematical connections, and different appeal. </div>
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All of these photos are taken using a mobile phone and (or) point-and-shoot device.</div>
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The above photo is taken from the facade of the Philippine International Convention Center, one sunny Sunday. The place is also the venue for the widely known "<i>The Feast" </i>hosted by Bro. Bo Sanchez.</div>
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<a href="http://2.bp.blogspot.com/-h4FKm1hznJU/VDo9EKgI6zI/AAAAAAAABO0/zR4iZtMGCWU/s1600/Beauty%2Bof%2BMathematics%2B1(small).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="photography,lines,curves,parallel,beauty,arts,math applications,math appreciation,everyday math" border="0" src="http://2.bp.blogspot.com/-h4FKm1hznJU/VDo9EKgI6zI/AAAAAAAABO0/zR4iZtMGCWU/s1600/Beauty%2Bof%2BMathematics%2B1(small).jpg" height="240" title="mathematics" width="320" /></a></div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-9152156643345461682014-09-01T00:44:00.000+08:002014-10-12T17:02:56.086+08:00THE MATHEMATICS OF LIFE<div dir="ltr" style="text-align: left;" trbidi="on">
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This is the reality that we need to face... :(</div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-2723603947443039812014-05-19T15:34:00.001+08:002014-05-19T16:03:01.824+08:00HAPPY 40th ANNIVERSARY RUBIK'S CUBE!<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://3.bp.blogspot.com/-wPa4pBjKKJs/U3myN3gE1KI/AAAAAAAABEQ/LRpNFL1qwcI/s1600/CYMERA_20140519_141540.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="mathematics, puzzles, cubes, trivia, geometry, math games, play, 3d" border="0" src="http://3.bp.blogspot.com/-wPa4pBjKKJs/U3myN3gE1KI/AAAAAAAABEQ/LRpNFL1qwcI/s1600/CYMERA_20140519_141540.jpg" height="400" title="Rubik's Cube" width="398" /></a></div>
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Today marked the 40th anniversary of one of the famous toys of the world, the Rubik's cube.<br />
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Rubik's cube is a 3-D combination puzzle. It was originally named as MAGIC CUBE but later changed to Rubik's cube, in honor to the inventor. <br />
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<a href="http://3.bp.blogspot.com/-YOxgdDwhGCQ/U3m5xVIbB-I/AAAAAAAABEs/OdpMR3YQbtI/s1600/Rubik+Cube+A.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="mathematics, math games, math puzzles, math fun, math trivia, geometry" border="0" src="http://3.bp.blogspot.com/-YOxgdDwhGCQ/U3m5xVIbB-I/AAAAAAAABEs/OdpMR3YQbtI/s1600/Rubik+Cube+A.jpg" height="200" title="Rubik's cube" width="185" /></a></div>
It was invented by Erno Rubik in 1974. Rubik was a Hungarian inventor, architect, and professor of architecture. Since Rubik's Cube was introduced to the public, it became the world's best selling toy.<br />
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Now, there are already a lot of variations of the Rubik's cube - various dimensions, colours and shape or form.<br />
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Enjoy playing the Rubik's cube. Thank you Sir Erno Rubik for introducing this toy to the world! <br />
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HAPPY RUBIK'S CUBE DAY!!!<br />
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If you have any comments and suggestions, you are free to write them in the comment box below. Thank yoU!</div>
Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com2tag:blogger.com,1999:blog-3447570934690984899.post-77709770619406386132014-04-08T20:49:00.000+08:002014-04-08T20:58:58.567+08:00LEARN AT MATHEMATICS REALM WORDS CLOUD<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://1.bp.blogspot.com/-Q6rZO16ThrI/U0Pn2uzIFbI/AAAAAAAABDM/0Dbf1xq74dU/s1600/learnatmathematicsrealm+words+cloud.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="IGCSE,math blogs,math tutorials,math tricks,numbers,patterns,trivia" border="0" src="http://1.bp.blogspot.com/-Q6rZO16ThrI/U0Pn2uzIFbI/AAAAAAAABDM/0Dbf1xq74dU/s1600/learnatmathematicsrealm+words+cloud.jpg" height="320" title="mathematics" width="308" /></a></div>
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This is the collection of all words from <a href="http://www.learnatmathematicsrealm.blogspot.com/" target="_blank">Learn at Mathematics Realm blog</a>. It is an extension of this blog and it focuses more on mathematics lessons and tutorials. There are also free downloadable items (worksheets, proofs, lessons, etc.).</div>
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You may visit the other blog at <a href="http://www.learnatmathematicsrealm.blogspot.com/">www.learnatmathematicsrealm.blogspot.com</a>. Please share this to all your friends.<br />
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-77469643313481587072014-01-23T00:22:00.001+08:002014-04-06T21:43:30.225+08:00SYMMETRY and TRANSFORMATION<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://2.bp.blogspot.com/-kOVXkZgEhn8/Ut_t_P6KkKI/AAAAAAAAA_4/iUOKxeAQxms/s1600/CYMERA_20140117_082640.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="mathematics,IGCSE,symmetry,geometry,polygons,plane figures" border="0" src="http://2.bp.blogspot.com/-kOVXkZgEhn8/Ut_t_P6KkKI/AAAAAAAAA_4/iUOKxeAQxms/s1600/CYMERA_20140117_082640.jpg" height="400" title="transformation" width="300" /></a></div>
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We have just discussed symmetry and transformations in our math class. Showing them possibilities and effects of the transformations to any object/shape - work of arts, symmetrical faces and logos, etc. Then I remember the one above given to me by one of my students. It looks so simple but it shows an application of the concepts we have learned. Thank you Nico for this work of art! </div>
Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-70151038609456562812013-12-02T22:17:00.000+08:002014-04-03T20:51:05.937+08:00HAPPY HOLIDAYS!<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://3.bp.blogspot.com/-SCK67lZiGJE/UpyWGzGewfI/AAAAAAAAA_I/GKKcvMw3rb8/s1600/Slide1.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="holidays,mathematics,arts" border="0" src="http://3.bp.blogspot.com/-SCK67lZiGJE/UpyWGzGewfI/AAAAAAAAA_I/GKKcvMw3rb8/s400/Slide1.JPG" height="300" title="Christmas" width="400" /></a></div>
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Christmas is fast approaching. Christmas trees, lanterns, carols and Christmas ornaments are everywhere. The cool breeze of the air signifies the season of joy, peace and love. A celebration for the birth of our savior Jesus Christ. </div>
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REALM of MATHEMATICS and LEARN AT MATHEMATICS REALM would like to greet all of you a happy holidays!!! </div>
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<a href="http://3.bp.blogspot.com/-Z0Ln-DQz48Y/UpySppuDOfI/AAAAAAAAA-8/CE4SRJXIVhI/s1600/Slide2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="holidays,mathematics,IGCSE,plane figures,symmetry" border="0" src="http://3.bp.blogspot.com/-Z0Ln-DQz48Y/UpySppuDOfI/AAAAAAAAA-8/CE4SRJXIVhI/s400/Slide2.JPG" height="300" title="Christmas" width="400" /></a></div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-60311182134231817902013-10-16T20:33:00.003+08:002013-10-16T20:47:37.901+08:00BLOG ACTION DAY 2013<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://2.bp.blogspot.com/-4LQRA3fI4fc/Ul6KQoMwffI/AAAAAAAAA8Y/9Yh4oaMaSdw/s1600/Blog+Action+Day+2013.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="300" src="http://2.bp.blogspot.com/-4LQRA3fI4fc/Ul6KQoMwffI/AAAAAAAAA8Y/9Yh4oaMaSdw/s400/Blog+Action+Day+2013.jpg" width="400" /></a></div>
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<span style="font-family: Arial; font-size: 12px;"> "I just registered for Blog Action Day October 16, 2013. Join me and take part in a huge global discussion http://bit.ly/OtyYtE #BAD13"</span><br />
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- from <a href="http://adv.blogupp.com/clickcaf85dc9-0aa3-4b46-86af-57da8836b9db103194671">http://adv.blogupp.com/clickcaf85dc9-0aa3-4b46-86af-57da8836b9db103194671</a><br />
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<span style="font-family: Arial; font-size: 12px;">Just visit </span><strong style="font-family: Arial; font-size: 12px;"><a href="http://www.blogactionday.org/" target="_parent">www.blogactionday.org</a>. </strong><span style="font-family: Arial; font-size: 12px;">You can register here. </span></div>
Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0tag:blogger.com,1999:blog-3447570934690984899.post-66114793375692336242013-09-14T14:40:00.000+08:002014-04-03T20:55:57.866+08:00MATH ARTS 4<div dir="ltr" style="text-align: left;" trbidi="on">
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<a href="http://3.bp.blogspot.com/-J3J1WdR6bYQ/UjQAq3DTd_I/AAAAAAAAA70/qlztAPci3lw/s1600/FxCam_13719662745142.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="transformation,IGCSE,mathematics,plane figures,polygons,arts" border="0" src="http://3.bp.blogspot.com/-J3J1WdR6bYQ/UjQAq3DTd_I/AAAAAAAAA70/qlztAPci3lw/s400/FxCam_13719662745142.jpg" height="300" title="symmetry" width="400" /></a></div>
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Here is another Math Art I have made using the picture of a building in Central Jakarta. Here is the original photo of the building:</div>
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<a href="http://1.bp.blogspot.com/-LeZ_GrMGNLA/UjQAp879QzI/AAAAAAAAA7s/ToSv5FtsAV8/s1600/FxCam_13719649255452.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="transformation,IGCSE,mathematics,plane figures,geometry,polygons,arts" border="0" src="http://1.bp.blogspot.com/-LeZ_GrMGNLA/UjQAp879QzI/AAAAAAAAA7s/ToSv5FtsAV8/s400/FxCam_13719649255452.jpg" height="400" title="symmetry" width="300" /></a></div>
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Another variation of the photo is here: </div>
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<a href="http://3.bp.blogspot.com/-L3zF37ZG47A/UjQAqM6zJSI/AAAAAAAAA74/sRnJpC197B4/s1600/FxCam_13719662593412.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="transformation,IGCSE,geometry,plane figures,polygons,mathematics" border="0" src="http://3.bp.blogspot.com/-L3zF37ZG47A/UjQAqM6zJSI/AAAAAAAAA74/sRnJpC197B4/s320/FxCam_13719662593412.jpg" height="240" title="symmetry" width="320" /></a></div>
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Both pictures are formed by symmetrical transformations of the original photo.</div>
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What can you say about the result? </div>
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Your comments and suggestions are welcome here. Write them in the comment box below.</div>
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Thank you </div>
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Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.com0