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units av-main-archive' role="main" itemprop="mainContentOfPage" itemscope="itemscope" itemtype="https://schema.org/Blog" ><div class='category-term-description'><h1>Math FAQs</h1><p>Here contains the collection of Insight math FAQs. These are commonly asked questions and misconceptions that inside are corrected and answered. Disciplines from algebra to advanced calculus with the student in mind. Learn something new today!</p></div><div class="entry-content-wrapper"><div data-slideshow-options="{"animation":"fade","autoplay":false,"loop_autoplay":"once","interval":5,"loop_manual":"manual-endless","autoplay_stopper":false,"noNavigation":false,"show_slide_delay":90}" class='avia-content-slider avia-content-grid-active avia-content-slider1 avia-content-slider-odd avia-builder-el-no-sibling av-slideshow-ui av-control-default av-no-slider-navigation av-slideshow-manual av-loop-once av-loop-manual-endless ' itemscope="itemscope" itemtype="https://schema.org/Blog" ><div class="avia-content-slider-inner"><div class="slide-entry-wrap"><article class='slide-entry flex_column post-entry post-entry-44769 slide-entry-overview slide-loop-1 slide-parity-odd av_one_third first real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/why-division-by-zero-is-a-bad-idea/' data-rel='slide-1' class='slide-image' title='Why Division by Zero is a Bad Idea'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2015/09/infinity.png" class="wp-image-4849 avia-img-lazy-loading-not-4849 attachment-portfolio size-portfolio wp-post-image" alt="infinity" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2015/09/infinity.png" class="wp-image-4849 avia-img-lazy-loading-not-4849 attachment-portfolio size-portfolio wp-post-image" alt="infinity" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: Why Division by Zero is a Bad Idea"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/why-division-by-zero-is-a-bad-idea/' title='Why Division by Zero is a Bad Idea'>Why Division by Zero is a Bad Idea</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2024-01-11T10:41:33-06:00" >January 11, 2024</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/why-division-by-zero-is-a-bad-idea/#comments'>33 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >A division by zero is primarily an algebraic question. The reasoning therefore follows the indirect pattern of most algebraic proofs: What if it was allowed? Then…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2015/09/infinity.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>fresh_42</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>fresh_42</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2024-01-11 10:41:33</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2025-01-26 09:13:07</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>Why Division by Zero is a Bad Idea</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-27851 slide-entry-overview slide-loop-2 slide-parity-even av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/how-to-find-potential-functions-a-10-minute-introduction/' data-rel='slide-1' class='slide-image' title='How to Find Potential Functions? A 10 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/how_to_find_potential_functions.png" class="wp-image-27852 avia-img-lazy-loading-not-27852 attachment-portfolio size-portfolio wp-post-image" alt="How to Find Potential Functions" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/how_to_find_potential_functions.png" class="wp-image-27852 avia-img-lazy-loading-not-27852 attachment-portfolio size-portfolio wp-post-image" alt="How to Find Potential Functions" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: How to Find Potential Functions? A 10 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/how-to-find-potential-functions-a-10-minute-introduction/' title='How to Find Potential Functions? A 10 Minute Introduction'>How to Find Potential Functions? A 10 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-06-18T13:57:14-05:00" >June 18, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/how-to-find-potential-functions-a-10-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition/Summary Given a vector field ##\vec F(x,y,z)## that has a potential function, how do you find it? Equations $$\nabla \phi(x,y,z) = \vec F(x,y,z)$$…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/how_to_find_potential_functions.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>LCKurtz</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>LCKurtz</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-06-18 13:57:14</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2020-11-23 16:17:39</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>How to Find Potential Functions? A 10 Minute Introduction</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-27907 slide-entry-overview slide-loop-3 slide-parity-odd av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-a-linear-equation-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What is a Linear Equation? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_linear_equation.png" class="wp-image-27910 avia-img-lazy-loading-not-27910 attachment-portfolio size-portfolio wp-post-image" alt="What is a linear equation" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_linear_equation.png" class="wp-image-27910 avia-img-lazy-loading-not-27910 attachment-portfolio size-portfolio wp-post-image" alt="What is a linear equation" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What is a Linear Equation? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-a-linear-equation-a-5-minute-introduction/' title='What is a Linear Equation? A 5 Minute Introduction'>What is a Linear Equation? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-06-06T19:43:12-05:00" >June 6, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-a-linear-equation-a-5-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition/Summary A first-order polynomial equation in one variable, its general form is [itex]Mx+B=0[/itex] where x is the variable. The quantities…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_linear_equation.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-06-06 19:43:12</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2021-04-02 14:11:55</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What is a Linear Equation? A 5 Minute Introduction</span></span></span></article></div><div class="slide-entry-wrap"><article class='slide-entry flex_column post-entry post-entry-27897 slide-entry-overview slide-loop-4 slide-parity-odd av_one_third first real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-are-significant-figures-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What are Significant Figures? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/06/what_are_significant_figures.png" class="wp-image-27901 avia-img-lazy-loading-not-27901 attachment-portfolio size-portfolio wp-post-image" alt="What are significant figures" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/06/what_are_significant_figures.png" class="wp-image-27901 avia-img-lazy-loading-not-27901 attachment-portfolio size-portfolio wp-post-image" alt="What are significant figures" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What are Significant Figures? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-are-significant-figures-a-5-minute-introduction/' title='What are Significant Figures? A 5 Minute Introduction'>What are Significant Figures? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-06-04T18:55:33-05:00" >June 4, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-are-significant-figures-a-5-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition/Summary Significant figures (commonly called "sig figs") are the number of figures (digits) included when rounding-off a number.For example,…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/06/what_are_significant_figures.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-06-04 18:55:33</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2019-12-18 18:58:04</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What are Significant Figures? A 5 Minute Introduction</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-27820 slide-entry-overview slide-loop-5 slide-parity-even av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-a-fibre-bundle-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What is a Fibre Bundle? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_fibre_bundle.png" class="wp-image-27821 avia-img-lazy-loading-not-27821 attachment-portfolio size-portfolio wp-post-image" alt="What is a fibre bundle" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_fibre_bundle.png" class="wp-image-27821 avia-img-lazy-loading-not-27821 attachment-portfolio size-portfolio wp-post-image" alt="What is a fibre bundle" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What is a Fibre Bundle? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-a-fibre-bundle-a-5-minute-introduction/' title='What is a Fibre Bundle? A 5 Minute Introduction'>What is a Fibre Bundle? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-05-22T20:27:25-05:00" >May 22, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-a-fibre-bundle-a-5-minute-introduction/#comments'>3 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition/Summary Intuitively speaking, a fibre bundle is space E which 'locally looks like' a product space B×F, but globally may have a different…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_fibre_bundle.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-05-22 20:27:25</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-12-06 21:31:13</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What is a Fibre Bundle? A 5 Minute Introduction</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-27892 slide-entry-overview slide-loop-6 slide-parity-odd av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-a-real-number-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What is a Real Number? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/05/what_are_real_numbers.png" class="wp-image-27896 avia-img-lazy-loading-not-27896 attachment-portfolio size-portfolio wp-post-image" alt="What are real numbers" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/05/what_are_real_numbers.png" class="wp-image-27896 avia-img-lazy-loading-not-27896 attachment-portfolio size-portfolio wp-post-image" alt="What are real numbers" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What is a Real Number? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-a-real-number-a-5-minute-introduction/' title='What is a Real Number? A 5 Minute Introduction'>What is a Real Number? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-05-22T18:46:31-05:00" >May 22, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-a-real-number-a-5-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition of real numbers Real numbers are a comprehensive set of numbers that encompasses all possible values on the number line. They include both…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/05/what_are_real_numbers.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-05-22 18:46:31</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2023-10-11 08:04:53</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What is a Real Number? A 5 Minute Introduction</span></span></span></article></div><div class="slide-entry-wrap"><article class='slide-entry flex_column post-entry post-entry-27812 slide-entry-overview slide-loop-7 slide-parity-odd av_one_third first real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-integration-by-parts-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What is Integration By Parts? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/integration_by_parts.png" class="wp-image-27817 avia-img-lazy-loading-not-27817 attachment-portfolio size-portfolio wp-post-image" alt="integration by parts" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/integration_by_parts.png" class="wp-image-27817 avia-img-lazy-loading-not-27817 attachment-portfolio size-portfolio wp-post-image" alt="integration by parts" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What is Integration By Parts? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-integration-by-parts-a-5-minute-introduction/' title='What is Integration By Parts? A 5 Minute Introduction'>What is Integration By Parts? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-05-11T20:18:19-05:00" >May 11, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-integration-by-parts-a-5-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition/Summary In this article, we shall learn a method for integrating the product of two functions. This method is derived from the 'product rule'…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/integration_by_parts.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>wrobel</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>wrobel</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-05-11 20:18:19</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2020-11-23 16:17:39</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What is Integration By Parts? A 5 Minute Introduction</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-27806 slide-entry-overview slide-loop-8 slide-parity-even av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-a-parabola-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What is a Parabola? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_parabola.png" class="wp-image-27807 avia-img-lazy-loading-not-27807 attachment-portfolio size-portfolio wp-post-image" alt="What is a parabola" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_parabola.png" class="wp-image-27807 avia-img-lazy-loading-not-27807 attachment-portfolio size-portfolio wp-post-image" alt="What is a parabola" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What is a Parabola? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-a-parabola-a-5-minute-introduction/' title='What is a Parabola? A 5 Minute Introduction'>What is a Parabola? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-05-05T19:51:50-05:00" >May 5, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-a-parabola-a-5-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >What is a Parabola? A parabola is a U-shaped curve in mathematics that is defined by a specific set of points. It is a fundamental geometric shape that…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_parabola.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-05-05 19:51:50</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2023-10-11 08:05:30</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What is a Parabola? A 5 Minute Introduction</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-27800 slide-entry-overview slide-loop-9 slide-parity-odd av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-a-limit-of-a-function-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What Is a Limit of a Function? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/limit_of_a_function.png" class="wp-image-27801 avia-img-lazy-loading-not-27801 attachment-portfolio size-portfolio wp-post-image" alt="Limit of a Function" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/limit_of_a_function.png" class="wp-image-27801 avia-img-lazy-loading-not-27801 attachment-portfolio size-portfolio wp-post-image" alt="Limit of a Function" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What Is a Limit of a Function? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-a-limit-of-a-function-a-5-minute-introduction/' title='What Is a Limit of a Function? A 5 Minute Introduction'>What Is a Limit of a Function? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-04-17T15:43:38-05:00" >April 17, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-a-limit-of-a-function-a-5-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >What is a limit? In mathematics, a limit is a fundamental concept used to describe the behavior of a function or sequence as it approaches a particular…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/limit_of_a_function.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Greg Bernhardt</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Greg Bernhardt</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-04-17 15:43:38</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2023-10-11 08:06:15</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What Is a Limit of a Function? A 5 Minute Introduction</span></span></span></article></div><div class="slide-entry-wrap"><article class='slide-entry flex_column post-entry post-entry-27794 slide-entry-overview slide-loop-10 slide-parity-odd av_one_third first real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-lie-algebra-a-5min-introduction/' data-rel='slide-1' class='slide-image' title='What is Lie algebra? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/lie_algebra_intro.png" class="wp-image-27795 avia-img-lazy-loading-not-27795 attachment-portfolio size-portfolio wp-post-image" alt="Lie Algebra Intro" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/lie_algebra_intro.png" class="wp-image-27795 avia-img-lazy-loading-not-27795 attachment-portfolio size-portfolio wp-post-image" alt="Lie Algebra Intro" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What is Lie algebra? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-lie-algebra-a-5min-introduction/' title='What is Lie algebra? A 5 Minute Introduction'>What is Lie algebra? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-04-12T15:27:25-05:00" >April 12, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-lie-algebra-a-5min-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition/Summary A Lie algebra ("Lee") is a set of generators of a Lie group. It is a basis of the tangent space around a Lie group's identity element,…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/lie_algebra_intro.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-04-12 15:27:25</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2021-04-02 14:14:18</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What is Lie algebra? A 5 Minute Introduction</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-27902 slide-entry-overview slide-loop-11 slide-parity-even av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-a-tangent-line-a-5-minute-introduction/' data-rel='slide-1' class='slide-image' title='What is a Tangent Line? A 5 Minute Introduction'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_tangent_line.png" class="wp-image-27903 avia-img-lazy-loading-not-27903 attachment-portfolio size-portfolio wp-post-image" alt="What is a Tangent Line" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_tangent_line.png" class="wp-image-27903 avia-img-lazy-loading-not-27903 attachment-portfolio size-portfolio wp-post-image" alt="What is a Tangent Line" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What is a Tangent Line? A 5 Minute Introduction"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-a-tangent-line-a-5-minute-introduction/' title='What is a Tangent Line? A 5 Minute Introduction'>What is a Tangent Line? A 5 Minute Introduction</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2019-03-10T19:34:22-05:00" >March 10, 2019</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-a-tangent-line-a-5-minute-introduction/#respond'>0 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Definition/Summary The tangent to a curve in a plane at a particular point has the same Gradient as the curve has at that point.More generally, the…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/12/what_is_a_tangent_line.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2019-03-10 19:34:22</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2021-04-02 14:14:39</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What is a Tangent Line? A 5 Minute Introduction</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-14577 slide-entry-overview slide-loop-12 slide-parity-odd av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/what-is-a-tensor/' data-rel='slide-1' class='slide-image' title='What Is a Tensor? The mathematical point of view.'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2017/06/whatisatensor.png" class="wp-image-14688 avia-img-lazy-loading-not-14688 attachment-portfolio size-portfolio wp-post-image" alt="whatisatensor" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2017/06/whatisatensor.png" class="wp-image-14688 avia-img-lazy-loading-not-14688 attachment-portfolio size-portfolio wp-post-image" alt="whatisatensor" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What Is a Tensor? The mathematical point of view."><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/what-is-a-tensor/' title='What Is a Tensor? The mathematical point of view.'>What Is a Tensor? The mathematical point of view.</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2017-06-18T23:49:07-05:00" >June 18, 2017</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/what-is-a-tensor/#comments'>58 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Introduction Let me start with a counter-question. What is a number? Before you laugh, there is more to this question than one might think. A number can…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2017/06/whatisatensor.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>fresh_42</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>fresh_42</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2017-06-18 23:49:07</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2025-01-26 11:24:16</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What Is a Tensor? The mathematical point of view.</span></span></span></article></div><div class="slide-entry-wrap"><article class='slide-entry flex_column post-entry post-entry-5884 slide-entry-overview slide-loop-13 slide-parity-odd av_one_third first real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/why-do-people-say-that-1-and-999-are-equal/' data-rel='slide-1' class='slide-image' title='Why Do People Say That 1 And .999 Are Equal?'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2015/10/999equals1.png" class="wp-image-5885 avia-img-lazy-loading-not-5885 attachment-portfolio size-portfolio wp-post-image" alt="999equals1" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2015/10/999equals1.png" class="wp-image-5885 avia-img-lazy-loading-not-5885 attachment-portfolio size-portfolio wp-post-image" alt="999equals1" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: Why Do People Say That 1 And .999 Are Equal?"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/why-do-people-say-that-1-and-999-are-equal/' title='Why Do People Say That 1 And .999 Are Equal?'>Why Do People Say That 1 And .999 Are Equal?</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2015-10-17T12:24:27-05:00" >October 17, 2015</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/why-do-people-say-that-1-and-999-are-equal/#comments'>111 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >Why do people say 1 and 0.999... are equal? Aren't they two different numbers?No, they really are the same number, though this is often very counterintuitive…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2015/10/999equals1.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2015-10-17 12:24:27</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-08-16 08:59:22</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>Why Do People Say That 1 And .999 Are Equal?</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-5329 slide-entry-overview slide-loop-14 slide-parity-even av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/proofs-in-mathematics/' data-rel='slide-1' class='slide-image' title='What Proofs are in Mathematics and Why Bother?'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2015/09/proofs.png" class="wp-image-5330 avia-img-lazy-loading-not-5330 attachment-portfolio size-portfolio wp-post-image" alt="proofs" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2015/09/proofs.png" class="wp-image-5330 avia-img-lazy-loading-not-5330 attachment-portfolio size-portfolio wp-post-image" alt="proofs" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: What Proofs are in Mathematics and Why Bother?"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/proofs-in-mathematics/' title='What Proofs are in Mathematics and Why Bother?'>What Proofs are in Mathematics and Why Bother?</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2015-09-22T23:27:26-05:00" >September 22, 2015</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/proofs-in-mathematics/#comments'>28 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >This FAQ is about proofs. Proofs are central to mathematics, and writing proofs is for many people a skill that is hard to master. There are two separate…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2015/09/proofs.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Multiple_Authors</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Multiple_Authors</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2015-09-22 23:27:26</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-08-16 08:56:08</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>What Proofs are in Mathematics and Why Bother?</span></span></span></article><article class='slide-entry flex_column post-entry post-entry-4733 slide-entry-overview slide-loop-15 slide-parity-odd post-entry-last av_one_third real-thumbnail posttype-post post-format-standard' itemscope="itemscope" itemtype="https://schema.org/BlogPosting" itemprop="blogPost" ><a href='https://www.physicsforums.com/insights/the-history-and-concept-of-the-number-0/' data-rel='slide-1' class='slide-image' title='The History and Concept of the Number 0'><img data-lazyloaded="1" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNDAiIGhlaWdodD0iMTM1IiB2aWV3Qm94PSIwIDAgMjQwIDEzNSI+PHJlY3Qgd2lkdGg9IjEwMCUiIGhlaWdodD0iMTAwJSIgZmlsbD0iI2NmZDRkYiIvPjwvc3ZnPg==" fetchpriority="high" width="240" height="135" data-src="https://www.physicsforums.com/insights/wp-content/uploads/2015/08/zero.png" class="wp-image-4735 avia-img-lazy-loading-not-4735 attachment-portfolio size-portfolio wp-post-image" alt="" decoding="async" /><noscript><img fetchpriority="high" width="240" height="135" src="https://www.physicsforums.com/insights/wp-content/uploads/2015/08/zero.png" class="wp-image-4735 avia-img-lazy-loading-not-4735 attachment-portfolio size-portfolio wp-post-image" alt="" decoding="async" /></noscript></a><div class="slide-content"><header class="entry-content-header" aria-label="Slide: The History and Concept of the Number 0"><h3 class='slide-entry-title entry-title ' itemprop="headline" ><a href='https://www.physicsforums.com/insights/the-history-and-concept-of-the-number-0/' title='The History and Concept of the Number 0'>The History and Concept of the Number 0</a></h3><span class="av-vertical-delimiter"></span></header><div class="slide-meta"><time class='slide-meta-time updated' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >August 27, 2015</time><div class="slide-meta-del">/</div><div class="slide-meta-comments"><a href='https://www.physicsforums.com/insights/the-history-and-concept-of-the-number-0/#comments'>7 Comments</a></div></div><div class='slide-entry-excerpt entry-content' itemprop="text" >The goal of this FAQ is to clear up the concept of 0 and specifically the operations that are allowed with 0.The best way to start this FAQ is to look…</div></div><footer class="entry-footer"></footer><span class='hidden'> <span class='av-structured-data' itemprop="image" itemscope="itemscope" itemtype="https://schema.org/ImageObject" > <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2015/08/zero.png</span> <span itemprop='height'>135</span> <span itemprop='width'>240</span> </span> <span class='av-structured-data' itemprop="publisher" itemtype="https://schema.org/Organization" itemscope="itemscope" > <span itemprop='name'>Micromass</span> <span itemprop='logo' itemscope itemtype='https://schema.org/ImageObject'> <span itemprop='url'>https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png</span> </span> </span><span class='av-structured-data' itemprop="author" itemscope="itemscope" itemtype="https://schema.org/Person" ><span itemprop='name'>Micromass</span></span><span class='av-structured-data' itemprop="datePublished" datetime="2015-08-27T14:08:47-05:00" >2015-08-27 14:08:47</span><span class='av-structured-data' itemprop="dateModified" itemtype="https://schema.org/dateModified" >2024-08-16 08:37:32</span><span class='av-structured-data' itemprop="mainEntityOfPage" itemtype="https://schema.org/mainEntityOfPage" ><span itemprop='name'>The History and Concept of the Number 0</span></span></span></article></div></div></div></div></main><aside class='sidebar sidebar_right smartphones_sidebar_active alpha units' aria-label="Sidebar" role="complementary" itemscope="itemscope" itemtype="https://schema.org/WPSideBar" ><div class="inner_sidebar extralight-border"><section id="custom_html-2" class="widget_text widget clearfix widget_custom_html"><div class="textwidget custom-html-widget"><h2 class="widgettitle">Trending Articles</h2><ul class="wpp-list wpp-sunset"><li class="" style="--item-position: 1;--total-items: 10"><div class="item-position"></div><div class="item-data"><a href="https://www.physicsforums.com/insights/valentines-reflections-mathematical-matters-of-the-heart/" class="wpp-post-title" target="_self">Valentine’s Reflections: Mathematical Matters of the Heart</a></div></li><li class="" style="--item-position: 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