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	<title>Triangular tiling honeycomb - Revision history</title>
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	<updated>2026-08-11T11:05:14Z</updated>
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		<title>en&gt;Hyacinth: /* References */ Category:Self-dual tilings</title>
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		<updated>2014-11-03T06:32:53Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;References: &lt;/span&gt; &lt;a href=&quot;/w/index.php?title=Category:Self-dual_tilings&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Category:Self-dual tilings (page does not exist)&quot;&gt;Category:Self-dual tilings&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 08:32, 3 November 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In decreasing term &lt;/del&gt;policy&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, the level of coverage &lt;/del&gt;will &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reduce by each &lt;/del&gt;year. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;They &lt;/del&gt;should &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ideally &lt;/del&gt;have &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a good claim payment history too&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;This policy provides a declared benefit upon the death of the policy owner, cater &lt;/del&gt;that the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;death occurs within &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;specific time period&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;20 year &lt;/del&gt;term insurance &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;has &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;level death benefit for &lt;/del&gt;your &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;complete 20 year period&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;There &lt;/del&gt;are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;two main types of &lt;/del&gt;life insurance &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policies, &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you can personalize each type of life &lt;/del&gt;insurance &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policy based on your needs&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Most of you would like &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;believe that &lt;/del&gt;life &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is fair. Maybe that extra 10 years will &lt;/del&gt;be &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;enough to pay off an extended mortgage or get the kids out of the house&lt;/del&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Hence they should be treated as post-tax deductions or taken out of the employee&#039;s salary after the tax has been computed and subtracted. This way &lt;/del&gt;you &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;can take a more informed decision as regards to policy you take out and it can help to ensure that you see a policy&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which meets &lt;/del&gt;your &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;needs&lt;/del&gt;, the best. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Term &lt;/del&gt;life insurance &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;isn&#039;t &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;type &lt;/del&gt;of insurance &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that will cover your debts or any expenses resulting from any injury&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;We cannot just appear cheap term life insurance &lt;/del&gt;policies&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. Reports are made to keep the track &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the credit report &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;also &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;create the rating certificate that helps one in selecting the best company on the market&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Riders &lt;/del&gt;are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;necessarily niche risk covers only in case there is an accidental death or a critical illness in contracted&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The amount &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policy value will be paid out to the members of the deceased’s family only upon the unfortunate event of their death&lt;/del&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now, this relative being &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;friend &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;mine shows &lt;/del&gt;it &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;to me&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t there yet, but we can at least come up with an idea&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Insurance payments can be serious and &lt;/del&gt;offer &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the clients beneficiaries an enormous fiscal cushion in the eventuality &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the clients death. fit into this category with cardio-vascular disease &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cancer reflecting the long accumulation of damage or disease across decades. One way to help the odds that you&#039;ll be given insurance policies are &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;become healthful. If your broker is &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;member of the National Brokers Association (NIBA), such &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;business entity would &lt;/del&gt;be &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;automatically bound by this code&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Review your [http://www&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Twitpic.com/tag/current+coverage current coverage] for gaps&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or, if &lt;/del&gt;you &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;haven&#039;t gotten around &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;it&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;make &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;visit to the website listed above, and then sit down with an agent and order up some peace of mind&lt;/del&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If &lt;/del&gt;you want to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;continue coverage &lt;/del&gt;you &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;would need to begin &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;new policy. o &lt;/del&gt;is a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;profitable &lt;/del&gt;investment &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;tool as the family members &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the policy holder get a fixed amount of money after his death&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; If you loved this article therefore you &lt;/del&gt;would like to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;receive more info relating &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[http://www.termlifepolicy.com/insurance-companies/reviews/aarp/ term lifepolicy] i implore &lt;/del&gt;you to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;visit our web site. This policy would soften the blow &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the event &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the sudden death of a key employee&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;One thing most people don&#039;t know about is that some companies pay dividends on term policies. Beyond the tragedy scenario&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;people are living longer and creating more debt. These policies accumulate &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cash value over their lifetime. With the passing of time&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;as your age moves forward&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you need to pay a considerably big amount for the policy premium&lt;/del&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In case &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;life insurance the ultimate beneficiaries are &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;near and dear ones of the policy holder. Many different insurance companies have different critical illness insurance policies and so it &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;imperative &lt;/del&gt;that you &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;know very well what is going to be covered &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;your policy and what won&#039;t be covered&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Death is not something most young people want &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;consider&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but life insurance is really not about death&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The &lt;/del&gt;life insurance &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;options above &lt;/del&gt;are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;designed to give &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;family &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the insured person a lump sum payout if he happens to die within the policy&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Even if your term has finished&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you can renew it every year according to your own wish, so &lt;/del&gt;that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;they can be able to get &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;coverage later on&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;To illustrate how these &lt;/del&gt;policies &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;actually work I &lt;/del&gt;will &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;give you &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;real &lt;/del&gt;life &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;example&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the names were changed to protect the innocent(I have to say &lt;/del&gt;that&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;). how much coverage you need &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;how much you &lt;/del&gt;can &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;afford for premiums each month&lt;/del&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Think about the worth on the goal you hope to realize using your insurance coverage coverage. The urine test can result in some information regarding your health. Now there are certain insurance policies that &lt;/del&gt;are given the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;choice of withdrawing &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;whole &lt;/del&gt;amount &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;or smaller portion &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the amount from the policys final amount. There are several different methods &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;accomplish this, but each one must be carefully reviewed with a financial advisor or attorney &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;find out which method works best for &lt;/del&gt;your &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;individual needs&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;However, it might surprise you to know that insurers classify many individuals &lt;/del&gt;as &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;being uninsurable. The insured &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;counting on &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;insurance company paying out hundreds &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[http://data&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Gov.uk/data/search?q=thousands thousands] &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dollars if death occurs Based on &lt;/del&gt;the age &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;of the applicant &lt;/del&gt;and the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;term a premium may be set at $35&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The reason is &lt;/del&gt;because &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;it &lt;/del&gt;is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;usually bought at an exciting time &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;your &lt;/del&gt;life.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The amount of the premiums they must pay &lt;/del&gt;for life insurance is &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;strongly determined by &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;work &lt;/del&gt;of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;an insurer&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;So, if an individual&#039;s desire is to secure a protection benefit at &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reduced cost&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;then term life insurance quote is almost always &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;most economical choice, particularly &lt;/del&gt;for &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;younger persons&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Trip you &lt;/del&gt;are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;probably &lt;/del&gt;for &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;choosing many insurance &lt;/del&gt;coverage &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;plan, you need to compare your options to actually obtain &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;best value&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;You can purchase anywhere from &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;one year term insurance contract to an age 121 guaranteed premium life insurance contract. You could possibly obtain the best term life insurance quotes. If &lt;/del&gt;you are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;newlywed you likely don&#039;t have any children as yet or if you have &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;new addition &lt;/del&gt;to the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;family the 25 &lt;/del&gt;year &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;term policy will work just fine for you. I know &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;gurus words are still ringing in your ears; life insurance is not an investment&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A 5 year &lt;/ins&gt;policy will &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;have a lower premium than a 10 &lt;/ins&gt;year &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;level policy&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Having said that, you &lt;/ins&gt;should &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;be aware that the company also likes to &#039;recruit&#039; through those they do business with. Such companies &lt;/ins&gt;have &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;to meet strict requirements concerning their suitability for such business&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;And &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;way to take &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;look at [http://En.search.wordpress&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;com/?q=term+life &lt;/ins&gt;term &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;life] &lt;/ins&gt;insurance&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-as protection, not like &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;monetary investment. A special licence, an NASD License, is needed to sell this product as some of &lt;/ins&gt;your &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;money is invested in mutual funds or other equity linked products&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Here are six factors that you need to look into whenever you &lt;/ins&gt;are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;researching term &lt;/ins&gt;life insurance &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ratings &lt;/ins&gt;and insurance &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;providers -&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Be sure &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;shop around and carefully compare term &lt;/ins&gt;life &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;insurance rates, however, as there can &lt;/ins&gt;be &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;great discrepancies between quotes given by different companies&lt;/ins&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;• Unless &lt;/ins&gt;you &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;are for life insurance no exam&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;give correct input about &lt;/ins&gt;your &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;tobacco use. In case the insured person dies during this period&lt;/ins&gt;, the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;death benefit will be paid to the beneficiary. The &lt;/ins&gt;best &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;benefit of term paper writing is that it helps boost a student&#039;s confidence&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The universal variable &lt;/ins&gt;life insurance &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policy is &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;blend &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;both universal and variable life &lt;/ins&gt;insurance &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;polices&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;All these &lt;/ins&gt;policies &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;have fair share &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pros &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cons; it is upto you &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;see which suits you most&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Quite often it&#039;s worthy of contacting a broker about your policy because brokers recognize policy terms and therefore &lt;/ins&gt;are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;certified pros&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;There are three major types &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;life insurance: term, universal life and whole life&lt;/ins&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In 1986 it began operating with &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;single goal: to make the process &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;buying term life insurance as easy as possible for its customers. It costs more per year to buy coverage for 20 years than &lt;/ins&gt;it &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;would cost for a 15 year policy&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;You will discover inexpensive term life insurance coverage by searching online life insurance coverage companies&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;His books &lt;/ins&gt;offer &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;no real information &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;substance &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;instead will often refer people &lt;/ins&gt;to a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;paid subscription website or &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;website where his miracle products can &lt;/ins&gt;be &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;purchased&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Auto Insurance Online Cheap Home Owners Insurance Company Online Affordable Health Insurance Online&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;At the time of policy purchase&lt;/ins&gt;, you &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;have &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;decide the time period. The premiums for term policy are much&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;much lower than most permanent policies even though they do not have &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cash value amount&lt;/ins&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Term insurance is most commonly used as an income proxy for a surviving spouse or loved one, not for estate planning or for charitable donations. One online source from where you can get insurance quotes is USInsurance - Online. What are some situations that a temporary medical insurance plan would be good. Are you uncertain whether &lt;/ins&gt;you want &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the life insurance &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;work as an investment for &lt;/ins&gt;you&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. When constructing &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;solid financial base, term life insurance &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;always &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;good &lt;/ins&gt;investment &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;because &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;its low cost&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I &lt;/ins&gt;would like to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;suggest &lt;/ins&gt;to you &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that the internet is the best place &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;get information when you are &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;search &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;life insurance&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;However&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;many families today have &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;mortgage&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;car payments&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and other monthly bills&lt;/ins&gt;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot; Yes, that is a lot &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;money but &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sad truth &lt;/ins&gt;is that you &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;may need $1,000,000 or more &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;coverage if you have people dependent upon you&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In addition to lower premiums, you can also choose how &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pay your premiums such as monthly&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;quarterly or annually&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Term &lt;/ins&gt;life insurance &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policies &lt;/ins&gt;are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;often more affordable, but only cover a specific time period, such as from purchase until &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;age &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;65&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;When comparing rates&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;make sure &lt;/ins&gt;that the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;terms are identical&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;After paying premiums for a set number of years, permanent &lt;/ins&gt;policies &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;  &lt;/ins&gt;will &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;start to pay money back to their policy holder. Your permanent insurance policy is entirely different. When shopping around for &lt;/ins&gt;a life &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;insurance policy&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;be aware &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;certain occupations and hobbies are considered risky &lt;/ins&gt;and can &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;increase your premium&lt;/ins&gt;.  &amp;lt;br&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;&amp;lt;br&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;You &lt;/ins&gt;are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;also &lt;/ins&gt;given the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;luxury to vary &lt;/ins&gt;the amount of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;death benefit which you wish &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;leave behind according &lt;/ins&gt;to your &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;set of preferences&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;This policy has a level death benefit &lt;/ins&gt;as &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;well which &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;paid upon &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;death &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the insured&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;It also saw the regulations &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;Term Life&quot; insurance changed in what consumers thought were &quot;great&quot; ways and reduced &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cost of &quot;Term Life&quot; insurance policies. Other factors that affect underwriting class and ratings, such as health and lifestyle profiles, &lt;/ins&gt;age&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pre-existing medical conditions, exert more significant control than &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;rise described here, so make sure to consider these other factors first while buying life insurance&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I say potentially &lt;/ins&gt;because &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the final rates &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;really what matters and you may not qualify for lowest quoted. In many cases, people purchase these policies as a way of providing for themselves &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;retirement. One is the term &lt;/ins&gt;life &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;insurance which offers coverage for a certain pre-defined period of time&lt;/ins&gt;.  &amp;lt;br&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/ins&gt;&amp;lt;br&amp;gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For example, commercial airline pilots are not subject to extra fees. How do rates for nicotine users compare to rates &lt;/ins&gt;for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;non-nicotine users. Most &lt;/ins&gt;life insurance &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;companies will require you to designate primary and secondary beneficiaries. On the other hand, level term life does ensure a lump sum payment provided the claim &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;made anytime during &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;term &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the policy&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;As &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;general rule&lt;/ins&gt;, the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;premiums &lt;/ins&gt;for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a [http://www&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;termlifepolicy.com/insurance-agents/michigan/saginaw.html term life policy] &lt;/ins&gt;are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;just a fraction of what it would be &lt;/ins&gt;for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a whole life plan even if the &lt;/ins&gt;coverage &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;amount is &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;same&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Take into account &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;situation where &lt;/ins&gt;you are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;about to book &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;flight. The carrier has &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;calculate &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;risk of passing away in year 20, year 19, &lt;/ins&gt;year &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;18, and so on based on &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;attained age at that time&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>en&gt;Hyacinth</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Triangular_tiling_honeycomb&amp;diff=278202&amp;oldid=prev</id>
		<title>en&gt;Tomruen: /* Related honeycombs */</title>
		<link rel="alternate" type="text/html" href="https://en.formulasearchengine.com/w/index.php?title=Triangular_tiling_honeycomb&amp;diff=278202&amp;oldid=prev"/>
		<updated>2014-02-28T04:34:36Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Related honeycombs&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:34, 28 February 2014&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{IC|date=August 2013}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In mathematics ([[differential geometry]]) by a &#039;&#039;&#039;ribbon&#039;&#039;&#039; (or strip) &amp;lt;math&amp;gt;(X,U)&amp;lt;/math&amp;gt; is meant a smooth space [[curve]] &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; given by a three-dimensional [[Vector (mathematics and physics)|vector]] &amp;lt;math&amp;gt;X(s)&amp;lt;/math&amp;gt;, depending continuously on the curve [[Arc length|arc-length]] &amp;lt;math&amp;gt;s&amp;lt;/math&amp;gt; (&amp;lt;math&amp;gt;a\leq s \leq b&amp;lt;/math&amp;gt;), together with a smoothly varying unit vector &amp;lt;math&amp;gt;U(s)&amp;lt;/math&amp;gt; perpendicular to &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; at each point (Blaschke 1950).&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The ribbon &amp;lt;math&amp;gt;(X,U)&amp;lt;/math&amp;gt; is called &#039;&#039;simple&#039;&#039; and &#039;&#039;closed&#039;&#039; if &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; is simple (i.e. without self-intersections) and closed and if &amp;lt;math&amp;gt;U&amp;lt;/math&amp;gt; and all its derivatives agree at &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;. &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;For any simple closed ribbon the curves &amp;lt;math&amp;gt;X+\varepsilon U&amp;lt;/math&amp;gt; given parametrically by &amp;lt;math&amp;gt;X(s)+\varepsilon U(s)&amp;lt;/math&amp;gt; are, for all sufficiently small positive &amp;lt;math&amp;gt;\varepsilon&amp;lt;/math&amp;gt;, simple closed curves disjoint from &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt;.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The ribbon concept plays an important role in &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Cǎlugǎreǎnu-White-Fuller &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In decreasing term policy, the level of coverage will reduce by each year. They should ideally have a good claim payment history too. This policy provides a declared benefit upon the death of &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policy owner&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;cater &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the death occurs within a specific time period. 20 year term insurance has a level death benefit for your complete 20 year period. There are two main types of life insurance policies, and you can personalize each type of life insurance policy based on your needs. Most of you would like to believe that life is fair. Maybe &lt;/ins&gt;that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;extra 10 years will be enough to pay off an extended mortgage or get the kids out of the house.  &lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Hence they should be treated as post-tax deductions or taken out of the employee&#039;s salary after the tax has been computed and subtracted. This way you can take a more informed decision as regards to policy you take out and it can help to ensure that you see a policy, which meets your needs, the best. Term life insurance isn&#039;t the type of insurance that will cover your debts or any expenses resulting from any injury. We cannot just appear cheap term life insurance policies. Reports are made to keep the track of the credit report and also to create the rating certificate that helps one in selecting the best company on the market. Riders are necessarily niche risk covers only in case there is an accidental death or a critical illness in contracted. The amount of policy value will be paid out to the members of the deceased’s family only upon the unfortunate event of their death.  &lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now, this relative being a friend of mine shows it to me. t there yet, but we can at least come up with an idea. Insurance payments can be serious and offer the clients beneficiaries an enormous fiscal cushion in the eventuality of the clients death. fit into this category with cardio-vascular disease and cancer reflecting the long accumulation of damage or disease across decades. One way to help the odds that you&#039;ll be given insurance policies are to become healthful. If your broker &lt;/ins&gt;is &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a member of &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;National Brokers Association &lt;/ins&gt;(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;NIBA&lt;/ins&gt;)&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, such a business entity would be automatically bound by this code. Review your &lt;/ins&gt;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http://www.Twitpic.com/tag/current+coverage current coverage&lt;/ins&gt;] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;for gaps, or, if you haven&#039;t gotten around to it, make &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;visit to the website listed above&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and then sit down with an agent and order up some peace of mind.  &lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If you want to continue coverage you would need to begin a new policy. o is a profitable investment tool as the family members of &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policy holder get a fixed amount of money after his death.  If you loved this article therefore you would like to receive more info relating to &lt;/ins&gt;[&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;http://www.termlifepolicy.com/insurance-companies/reviews/aarp/ term lifepolicy&lt;/ins&gt;] &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;i implore you to visit our web site. This policy would soften the blow in the event of the sudden death of a key employee. One thing most people don&#039;t know about is that some companies pay dividends on term policies. Beyond the tragedy scenario, people are living longer &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;creating more debt. These policies accumulate a cash value over their lifetime. With the passing of time, as your age moves forward, you need to pay a considerably big amount for the policy premium.  &lt;/ins&gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;br&lt;/ins&gt;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;In case of life insurance the ultimate beneficiaries are the near and dear ones of &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;policy holder&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Many different insurance companies have different critical illness insurance policies and so it is imperative that you know very well what is going to be covered in your policy &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;what won&#039;t be covered. Death is not something most young people want to consider, but life insurance is really not about death. The life insurance options above are designed to give the family &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the insured person &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lump sum payout if he happens to die within the policy. Even if your term has finished&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;you can renew it every year according to your own wish&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;so that they can be able to get the coverage later on&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;To illustrate how these policies actually work I will give you a real life example&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;the names were changed to protect the innocent&lt;/ins&gt;(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I have to say that&lt;/ins&gt;)&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. how much coverage you need and how much you can afford for premiums each month.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;Think about the worth on the goal you hope to realize using your insurance coverage coverage. The urine test can result &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;some information regarding your health&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now there are certain insurance policies that are given the choice of withdrawing the whole amount or smaller portion of the amount from the policys final amount&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;There are several different methods to accomplish this&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but each one must be carefully reviewed with a financial advisor or attorney to find out which method works best for your individual needs&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;However, it might surprise you to know that insurers classify many individuals as being uninsurable&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The insured is counting on the insurance company paying out hundreds of &lt;/ins&gt;[http://&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;data&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Gov&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;uk&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;data&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;search?q=thousands thousands] of dollars if death occurs Based on the age of the applicant and the term a premium may be set at $35&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The reason is because it is usually bought at an exciting time in your life&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;/ins&gt;The &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;amount of the premiums they must pay for life insurance is strongly determined by the work &lt;/ins&gt;of &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;an insurer. So, if an individual&#039;s desire is to secure &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;protection benefit at a reduced cost, then term life insurance quote is almost always the most economical choice, particularly for younger persons. Trip you are probably for choosing many insurance coverage plan, you need to compare your options to actually obtain the best value. You can purchase anywhere from a one year term insurance contract to an age 121 guaranteed premium life insurance contract. You could possibly obtain the best term life insurance quotes&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;If you are newlywed you likely don&lt;/ins&gt;&#039;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t have any children as yet or if you have a new addition to the family the 25 year term policy will work just fine for you. I know the gurus words are still ringing in your ears; life insurance is not an investment&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;formula (Fuller 1971)&lt;/del&gt;, that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;states &lt;/del&gt;that&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lk = Wr + Tw \;,&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;where &lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Lk&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/del&gt;&amp;gt; is the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;asymptotic &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Gauss&lt;/del&gt;) [&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[linking number&lt;/del&gt;]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;] (&lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;topological quantity)&lt;/del&gt;, &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Wr&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/del&gt;&amp;gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;denotes &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;total writhing number (or simply &lt;/del&gt;[&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[writhe&lt;/del&gt;]&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]) &lt;/del&gt;and &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Tw&lt;/del&gt;&amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/math&lt;/del&gt;&amp;gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;is &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;total twist number (or simply [[Twist (mathematics)|twist]])&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Ribbon theory]] investigates geometric &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;topological aspects &lt;/del&gt;of a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;mathematical reference ribbon associated with physical and biological properties&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;such as those arising in [[topological fluid dynamics]]&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[DNA]] modeling and in [[material science]]&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==References==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*Blaschke&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;W. &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1950&lt;/del&gt;) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;&#039;Einführung &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;die Differentialgeometrie&#039;&#039;&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Springer-Verlag&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ISBN 9783817115495&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;*Fuller&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;F&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;B&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(1971) &lt;/del&gt;[http://&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;www&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pnas&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;org&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;content&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;68/4/815&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;full&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pdf &lt;/del&gt;The &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;writhing number &lt;/del&gt;of a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;space curve]&lt;/del&gt;. &#039;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&#039;PNAS USA&#039;&#039; &#039;&#039;&#039;68&#039;&#039;&#039;, 815-819&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Differential geometry]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Topology]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{differential-geometry-stub}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>en&gt;Tomruen</name></author>
	</entry>
	<entry>
		<id>https://en.formulasearchengine.com/w/index.php?title=Triangular_tiling_honeycomb&amp;diff=30018&amp;oldid=prev</id>
		<title>en&gt;Tomruen: /* References */</title>
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		<updated>2014-01-12T07:18:55Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;References&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{IC|date=August 2013}}&lt;br /&gt;
In mathematics ([[differential geometry]]) by a &amp;#039;&amp;#039;&amp;#039;ribbon&amp;#039;&amp;#039;&amp;#039; (or strip) &amp;lt;math&amp;gt;(X,U)&amp;lt;/math&amp;gt; is meant a smooth space [[curve]] &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; given by a three-dimensional [[Vector (mathematics and physics)|vector]] &amp;lt;math&amp;gt;X(s)&amp;lt;/math&amp;gt;, depending continuously on the curve [[Arc length|arc-length]] &amp;lt;math&amp;gt;s&amp;lt;/math&amp;gt; (&amp;lt;math&amp;gt;a\leq s \leq b&amp;lt;/math&amp;gt;), together with a smoothly varying unit vector &amp;lt;math&amp;gt;U(s)&amp;lt;/math&amp;gt; perpendicular to &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; at each point (Blaschke 1950).&lt;br /&gt;
&lt;br /&gt;
The ribbon &amp;lt;math&amp;gt;(X,U)&amp;lt;/math&amp;gt; is called &amp;#039;&amp;#039;simple&amp;#039;&amp;#039; and &amp;#039;&amp;#039;closed&amp;#039;&amp;#039; if &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt; is simple (i.e. without self-intersections) and closed and if &amp;lt;math&amp;gt;U&amp;lt;/math&amp;gt; and all its derivatives agree at &amp;lt;math&amp;gt;a&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;b&amp;lt;/math&amp;gt;. &lt;br /&gt;
For any simple closed ribbon the curves &amp;lt;math&amp;gt;X+\varepsilon U&amp;lt;/math&amp;gt; given parametrically by &amp;lt;math&amp;gt;X(s)+\varepsilon U(s)&amp;lt;/math&amp;gt; are, for all sufficiently small positive &amp;lt;math&amp;gt;\varepsilon&amp;lt;/math&amp;gt;, simple closed curves disjoint from &amp;lt;math&amp;gt;X&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
The ribbon concept plays an important role in the Cǎlugǎreǎnu-White-Fuller &lt;br /&gt;
formula (Fuller 1971), that states that&lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;Lk = Wr + Tw \;,&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;Lk&amp;lt;/math&amp;gt; is the asymptotic (Gauss) [[linking number]] (a topological quantity), &amp;lt;math&amp;gt;Wr&amp;lt;/math&amp;gt; denotes the total writhing number (or simply [[writhe]]) and &amp;lt;math&amp;gt;Tw&amp;lt;/math&amp;gt; is the total twist number (or simply [[Twist (mathematics)|twist]]).&lt;br /&gt;
&lt;br /&gt;
[[Ribbon theory]] investigates geometric and topological aspects of a mathematical reference ribbon associated with physical and biological properties, such as those arising in [[topological fluid dynamics]], [[DNA]] modeling and in [[material science]].&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
*Blaschke, W. (1950) &amp;#039;&amp;#039;Einführung in die Differentialgeometrie&amp;#039;&amp;#039;. Springer-Verlag. ISBN 9783817115495&lt;br /&gt;
*Fuller, F.B. (1971) [http://www.pnas.org/content/68/4/815.full.pdf The writhing number of a space curve]. &amp;#039;&amp;#039;PNAS USA&amp;#039;&amp;#039; &amp;#039;&amp;#039;&amp;#039;68&amp;#039;&amp;#039;&amp;#039;, 815-819.&lt;br /&gt;
&lt;br /&gt;
[[Category:Differential geometry]]&lt;br /&gt;
[[Category:Topology]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{{differential-geometry-stub}}&lt;/div&gt;</summary>
		<author><name>en&gt;Tomruen</name></author>
	</entry>
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