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74.nfd-py-5:not([style*=padding]){padding-bottom:1.25rem!important;padding-top:1.25rem!important}.nfd-pt-0:not([style*=padding]){padding-top:0!important}.nfd-text-left{text-align:left!important}.nfd-wc-products{self-align:flex-start!important;flex-grow:0!important}.nfd-wc-products>ul{row-gap:calc(var(--wndb--gap--2xl)*var(--wndb--gap--scale-factor))!important}.nfd-wc-products .wc-block-grid__product-image{overflow:hidden!important}.nfd-wc-products .wc-block-grid__product-image img{transition:transform .6s ease-in-out!important}.nfd-wc-products .wc-block-grid__product-image img:hover{transform:scale(1.1)!important}.nfd-wc-products .wc-block-components-product-sale-badge{backdrop-filter:blur(4px)!important;background:hsla(0,0%,100%,.5)!important;border:1px solid hsla(0,0%,100%,.2)!important;border-radius:999px!important;font-size:.8125rem!important;font-weight:700!important;margin:6px!important;padding:4px 12px!important}.nfd-wc-products .wc-block-components-product-sale-badge>span{background:transparent!important}.nfd-wc-products .wc-block-components-product-price{color:inherit!important}.nfd-wc-search .wp-block-search__inside-wrapper{background-color:var(--wndb--color--borders)!important;border:2px solid var(--wndb--color--subtle)!important;border-radius:999px!important;max-width:100%!important;padding:0!important;width:25rem!important}.nfd-wc-search .wp-block-search__inside-wrapper input[type=search]{background:none!important;border:none!important;border-bottom-left-radius:999px!important;border-top-left-radius:999px!important;color:var(--wndb--color--text--contrast)!important;font-size:1.25rem!important;font-weight:500!important;min-height:3.75rem!important;padding-inline:24px!important}.nfd-wc-search .wp-block-search__inside-wrapper:has(button:focus),.nfd-wc-search .wp-block-search__inside-wrapper:has(input[type=search]:focus){outline:2px solid var(--wndb--color--text--contrast)!important;outline-offset:2px!important}.nfd-wc-search .wp-block-search__button{aspect-ratio:1/1!important;background:var(--wndb-gray-800)!important;border-radius:999px!important;height:100%!important;margin-left:0!important;margin-right:2px!important;margin-top:2px!important}.nfd-wc-search .wp-block-search__button:focus,.nfd-wc-search .wp-block-search__button:hover{background:var(--wndb-gray-900)!important;filter:none!important;outline:2px solid var(--wndb-gray-900)!important;outline-offset:2px!important}.nfd-wc-search .wp-block-search__inside-wrapper input[type=search]::-moz-placeholder{color:var(--wndb--color--text--faded)!important}.nfd-wc-search .wp-block-search__inside-wrapper input[type=search]::placeholder{color:var(--wndb--color--text--faded)!important}.nfd-commerce-icons{align-items:center!important;display:flex!important;flex-direction:row!important;gap:8px!important}.nfd-commerce-icons .wc-block-cart-link__text{display:none!important}.nfd-commerce-icons .wp-block-search__button svg,.nfd-commerce-icons svg.wc-block-customer-account__account-icon,.nfd-commerce-icons svg.wc-block-mini-cart__icon{height:28px!important;width:28px!important}.nfd-commerce-icons .wp-block-search__button-only .wp-block-search__button.has-icon{align-items:center!important;background:none!important;color:currentcolor!important;display:flex!important;padding:0!important}.nfd-commerce-icons .wp-block-search__button-only .wp-block-search__input{margin-right:.5em!important}.nfd-commerce-icons .wp-block-woocommerce-customer-account a{padding:0!important}:root{--wndb-mask-color:rgba(0,0,0,.15);--wndb-mask-position:50% 50% at 50% 20%;--wndb-mask-opacity:0.35}[class*=nfd-bg-effect]{isolation:isolate!important;position:relative!important}[class*=nfd-wb-header] [class*=nfd-bg-effect]{z-index:1!important}.has-modal-open [class*=nfd-bg-effect]{isolation:unset!important}.nfd-bg-effect-position-center{--wndb-mask-position:50% 50% at 50% 50%}[class*=nfd-bg-effect]:after{content:""!important;inset:0!important;-webkit-mask-image:radial-gradient(ellipse var(--wndb-mask-position),#000 70%,rgba(0,0,0,.3) 100%)!important;mask-image:radial-gradient(ellipse var(--wndb-mask-position),#000 70%,rgba(0,0,0,.3) 100%)!important;opacity:var(--wndb-mask-opacity)!important;pointer-events:none!important;position:absolute!important;z-index:-1!important}.nfd-bg-effect-dots:after{--wndb-mask-opacity:1;
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240							<div class="blog-thumb"><a href="https://gereshes.com/2022/09/04/designing-multiple-missed-thrust-event-resilient-trajectories-using-virtual-swarms/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/subwayDiagram.jpg?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="" decoding="async" srcset="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/subwayDiagram.jpg?resize=380%2C254&amp;ssl=1 380w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/subwayDiagram.jpg?zoom=2&amp;resize=380%2C254&amp;ssl=1 760w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/subwayDiagram.jpg?zoom=3&amp;resize=380%2C254&amp;ssl=1 1140w" sizes="(max-width: 380px) 100vw, 380px" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/subwayDiagram.jpg?fit=1874%2C769&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/09/04/designing-multiple-missed-thrust-event-resilient-trajectories-using-virtual-swarms/"></a></div></div></div></div>
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245							<h2 class="blog-title"><a href="https://gereshes.com/2022/09/04/designing-multiple-missed-thrust-event-resilient-trajectories-using-virtual-swarms/" title="Permalink to Designing Multiple Missed Thrust Event Resilient Trajectories using Virtual Swarms">Designing Multiple Missed Thrust Event Resilient Trajectories using Virtual Swarms</a></h2>							<p>Note: This post is adapted from my conference paper, which was presented at the 2022 AAS/AIAA Astrodynamics Specialists Conference. You can read the full paper here. Abstract Low-thrust propulsion is an enabling factor for the next generation of deep space missions. Unfortunately, their limited thrust capabilities render long-duration thrusting arcs necessary. Any interruption to the thrust&hellip;</p>
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247							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/09/04/designing-multiple-missed-thrust-event-resilient-trajectories-using-virtual-swarms/" title="Designing Multiple Missed Thrust Event Resilient Trajectories using Virtual Swarms"><time datetime="2022-09-04T07:00:00-05:00">
2472022-09-04</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/math/astrodynamics/" rel="category tag">Astrodynamics</a>, <a href="https://gereshes.com/category/uncategorized/" rel="category tag">Uncategorized</a></span></div>
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256
257					<article id="post-4268" class="blog-article post-4268 post type-post status-publish format-image has-post-thumbnail hentry category-astrodynamics post_format-post-format-image format-media">
258
259												<header class="entry-header">
260
261							<div class="blog-thumb"><a href="https://gereshes.com/2022/08/07/gtoc-11-results-from-the-university-of-alabama/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="time lapse photo of stars on night" decoding="async" srcset="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?w=1880&amp;ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=300%2C200&amp;ssl=1 300w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=1024%2C682&amp;ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=768%2C512&amp;ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=1536%2C1024&amp;ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=380%2C254&amp;ssl=1 380w" sizes="(max-width: 380px) 100vw, 380px" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?fit=1880%2C1253&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/08/07/gtoc-11-results-from-the-university-of-alabama/"></a></div></div></div></div>
262						</header>
263						
264						<div class="entry-content">
265
266							<h2 class="blog-title"><a href="https://gereshes.com/2022/08/07/gtoc-11-results-from-the-university-of-alabama/" title="Permalink to GTOC-11: Results from the University of Alabama">GTOC-11: Results from the University of Alabama</a></h2>							<p>Note: This post is adapted from a journal paper I was a co-author on (my other Co-Authors, particularly Jared Sikes and James Pezent, deserve far more credit than I for both the GTOC solution and the paper), which was accepted to Acta Astronautica in Summer 2022. You can read the full paper here, or see my&hellip;</p>
267<p class="more-link"><a href="https://gereshes.com/2022/08/07/gtoc-11-results-from-the-university-of-alabama/" class="themebutton2">Read More</a></p>
268							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/08/07/gtoc-11-results-from-the-university-of-alabama/" title="GTOC-11: Results from the University of Alabama"><time datetime="2022-08-07T07:00:00-05:00">2022-08-07</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/math/astrodynamics/" rel="category tag">Astrodynamics</a></span></div>
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278					<article id="post-4245" class="blog-article post-4245 post type-post status-publish format-image has-post-thumbnail hentry category-uncategorized post_format-post-format-image format-media">
279
280												<header class="entry-header">
281
282							<div class="blog-thumb"><a href="https://gereshes.com/2022/07/31/dall-e-a-first-pass/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/DALL%C2%B7E-2022-07-29-05.43.50-Tesla-made-out-of-hearts.png?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="" decoding="async" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/DALL%C2%B7E-2022-07-29-05.43.50-Tesla-made-out-of-hearts.png?fit=1024%2C1024&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/07/31/dall-e-a-first-pass/"></a></div></div></div></div>
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286
287							<h2 class="blog-title"><a href="https://gereshes.com/2022/07/31/dall-e-a-first-pass/" title="Permalink to DALL-E, A First Pass">DALL-E, A First Pass</a></h2>							<p>
287I got access to DALL-E and here are some things I generated with it.</p>
288							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/07/31/dall-e-a-first-pass/" title="DALL-E, A First Pass"><time datetime="2022-07-31T07:00:00-05:00">2022-07-31</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/uncategorized/" rel="category tag">Uncategorized</a></span></div>
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298					<article id="post-4229" class="blog-article post-4229 post type-post status-publish format-image has-post-thumbnail hentry category-books post_format-post-format-image format-media">
299
300												<header class="entry-header">
301
302							<div class="blog-thumb"><a href="https://gereshes.com/2022/07/24/select-textbooks-on-my-shelf-1-astrodynamics-edition/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/pexels-photo-590493.jpeg?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="light inside library" decoding="async" loading="lazy" srcset="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/pexels-photo-590493.jpeg?resize=380%2C254&amp;ssl=1 380w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/pexels-photo-590493.jpeg?zoom=2&amp;resize=380%2C254&amp;ssl=1 760w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/pexels-photo-590493.jpeg?zoom=3&amp;resize=380%2C254&amp;ssl=1 1140w" sizes="auto, (max-width: 380px) 100vw, 380px" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/pexels-photo-590493.jpeg?fit=1406%2C1300&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/07/24/select-textbooks-on-my-shelf-1-astrodynamics-edition/"></a></div></div></div></div>
303						</header>
304						
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306
307							<h2 class="blog-title"><a href="https://gereshes.com/2022/07/24/select-textbooks-on-my-shelf-1-astrodynamics-edition/" title="Permalink to Select Textbooks on my Shelf #1 &#8211; Astrodynamics Edition">Select Textbooks on my Shelf #1 &#8211; Astrodynamics Edition</a></h2>							<p>I go over 5 astrodynamics textbooks I have on my shelf.</p>
308							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/07/24/select-textbooks-on-my-shelf-1-astrodynamics-edition/" title="Select Textbooks on my Shelf #1 &#8211; Astrodynamics Edition"><time datetime="2022-07-24T07:00:00-05:00">2022-07-24</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/books/" rel="category tag">Books</a></span></div>
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318					<article id="post-4169" class="blog-article post-4169 post type-post status-publish format-image has-post-thumbnail hentry category-uncategorized post_format-post-format-image format-media">
319
320												<header class="entry-header">
321
322							<div class="blog-thumb"><a href="https://gereshes.com/2022/07/17/a-note-on-error-due-to-floating-point-arithmetic/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="close up photo of ledger s list" decoding="async" loading="lazy" srcset="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?w=1880&amp;ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=1024%2C681&amp;ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=768%2C511&amp;ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=1536%2C1021&amp;ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=380%2C254&amp;
322ssl=1 380w" sizes="auto, (max-width: 380px) 100vw, 380px" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?fit=1880%2C1250&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/07/17/a-note-on-error-due-to-floating-point-arithmetic/"></a></div></div></div></div>
323						</header>
324						
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326
327							<h2 class="blog-title"><a href="https://gereshes.com/2022/07/17/a-note-on-error-due-to-floating-point-arithmetic/" title="Permalink to A Note on Error due to Floating-Point Arithmetic">A Note on Error due to Floating-Point Arithmetic</a></h2>							<p>Pop Quiz! What&#8217;s 1 + (1e-16) -1? That&#8217;s easy you might say, it&#8217;s just 1e-16 We can check that with our favorite calculator (in my case that&#8217;s a TI-84 that I&#8217;ve had for way too long, but its easier to take screenshots of python) and we get Wait, that&#8217;s not right. What&#8217;s going on?  (If&hellip;</p>
328<p class="more-link"><a href="https://gereshes.com/2022/07/17/a-note-on-error-due-to-floating-point-arithmetic/" class="themebutton2">Read More</a></p>
329							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/07/17/a-note-on-error-due-to-floating-point-arithmetic/" title="A Note on Error due to Floating-Point Arithmetic"><time datetime="2022-07-17T07:00:00-05:00">2022-07-17</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/uncategorized/" rel="category tag">Uncategorized</a></span></div>
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339					<article id="post-4181" class="blog-article post-4181 post type-post status-publish format-image has-post-thumbnail hentry category-free-idea post_format-post-format-image format-media">
340
341												<header class="entry-header">
342
343							<div class="blog-thumb"><a href="https://gereshes.com/2022/07/10/free-idea-detecting-gpt-3-plagiarism-with-gpt-3/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="black and white photo of human hand and robot hand" decoding="async" loading="lazy" srcset="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?w=1880&amp;ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=300%2C200&amp;ssl=1 300w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=1024%2C682&amp;ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=768%2C512&amp;ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=1536%2C1024&amp;ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=380%2C254&amp;ssl=1 380w" sizes="auto, (max-width: 380px) 100vw, 380px" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?fit=1880%2C1253&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/07/10/free-idea-detecting-gpt-3-plagiarism-with-gpt-3/"></a></div></div></div></div>
344						</header>
345						
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347
348							<h2 class="blog-title"><a href="https://gereshes.com/2022/07/10/free-idea-detecting-gpt-3-plagiarism-with-gpt-3/" title="Permalink to Free Idea: Detecting GPT-3 Plagiarism, with GPT-3?">Free Idea: Detecting GPT-3 Plagiarism, with GPT-3?</a></h2>							<p>Note: These ideas are worth what you pay for them. GPT-3 Enabled Plagarism Every few months there&#8217;s a new set of handwringing over plagiarism  enabled by GPT-3. It&#8217;s been two years so that handwringing has even reached philosophy departments. Sarcastically, a voice inside me said &#8220;EZ, Just use GPT-3 to detect plagiarism&#8221;. Then, another voice inside me,&hellip;</p>
349<p class="more-link"><a href="https://gereshes.com/2022/07/10/free-idea-detecting-gpt-3-plagiarism-with-gpt-3/" class="themebutton2">Read More</a></p>
350							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/07/10/free-idea-detecting-gpt-3-plagiarism-with-gpt-3/" title="Free Idea: Detecting GPT-3 Plagiarism, with GPT-3?"><time datetime="2022-07-10T07:00:00-05:00">2022-07-10</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/free-idea/" rel="category tag">Free Idea</a></span></div>
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360					<article id="post-4188" class="blog-article post-4188 post type-post status-publish format-image has-post-thumbnail hentry category-uncategorized post_format-post-format-image format-media">
361
362												<header class="entry-header">
363
364							<div class="blog-thumb"><a href="https://gereshes.com/2022/07/03/an-introduction-to-nasas-capstone-mission/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/capstone-evergreen-2.gif?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="" decoding="async" loading="lazy" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/capstone-evergreen-2.gif?fit=985%2C554&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/07/03/an-introduction-to-nasas-capstone-mission/"></a></div></div></div></div>
365						</header>
366						
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368
369							<h2 class="blog-title"><a href="https://gereshes.com/2022/07/03/an-introduction-to-nasas-capstone-mission/" title="Permalink to An Introduction to NA
369SA&#8217;s CAPSTONE Mission">An Introduction to NASA&#8217;s CAPSTONE Mission</a></h2>							<p>Cislunar Autonomous Positioning System Technology Operations and Navigation Experiment NASA&#8217;s CAPSTONE mission is a whole deep-space tech demonstrator packed into approximately 730 cubed inches. Even its acronym, CAPSTONE (Cislunar Autonomous Positioning System Technology Operations and Navigation Experiment), does a whole lot in a small space. From leading our return to the moon to demonstrating exciting&hellip;</p>
370<p class="more-link"><a href="https://gereshes.com/2022/07/03/an-introduction-to-nasas-capstone-mission/" class="themebutton2">Read More</a></p>
371							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/07/03/an-introduction-to-nasas-capstone-mission/" title="An Introduction to NASA&#8217;s CAPSTONE Mission"><time datetime="2022-07-03T07:00:00-05:00">2022-07-03</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/uncategorized/" rel="category tag">Uncategorized</a></span></div>
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381					<article id="post-4145" class="blog-article post-4145 post type-post status-publish format-image has-post-thumbnail hentry category-math category-numerical-methods tag-math post_format-post-format-image format-media">
382
383												<header class="entry-header">
384
385							<div class="blog-thumb"><a href="https://gereshes.com/2022/06/26/an-introduction-to-complex-step-differentiation/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/stepSize.png?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="" decoding="async" loading="lazy" srcset="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/stepSize.png?resize=380%2C254&amp;ssl=1 380w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/stepSize.png?zoom=2&amp;resize=380%2C254&amp;ssl=1 760w" sizes="auto, (max-width: 380px) 100vw, 380px" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/stepSize.png?fit=900%2C500&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/06/26/an-introduction-to-complex-step-differentiation/"></a></div></div></div></div>
386						</header>
387						
388						<div class="entry-content">
389
390							<h2 class="blog-title"><a href="https://gereshes.com/2022/06/26/an-introduction-to-complex-step-differentiation/" title="Permalink to An Introduction to Complex Step Differentiation">An Introduction to Complex Step Differentiation</a></h2>							<p>In an old post we went over the finite difference method, where we approximated the derivative of a function by sampling the function at multiple specific points, and then, as the name implies, taking the difference between these points. Finite differencing is both easy to understand and good enough for a lot of problems leading to&hellip;</p>
391<p class="more-link"><a href="https://gereshes.com/2022/06/26/an-introduction-to-complex-step-differentiation/" class="themebutton2">Read More</a></p>
392							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/06/26/an-introduction-to-complex-step-differentiation/" title="An Introduction to Complex Step Differentiation"><time datetime="2022-06-26T07:00:00-05:00">2022-06-26</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/math/" rel="category tag">Math</a>, <a href="https://gereshes.com/category/math/numerical-methods/" rel="category tag">Numerical methods</a></span><span class="tags"><a href="https://gereshes.com/tag/math/" rel="tag">Math</a></span></div>
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402					<article id="post-4134" class="blog-article post-4134 post type-post status-publish format-image has-post-thumbnail hentry category-grad-school post_format-post-format-image format-media">
403
404												<header class="entry-header">
405
406							<div class="blog-thumb"><a href="https://gereshes.com/2022/06/19/grad-school-stats-and-unsolicited-advice/"><img width="380" height="254" src="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="books in black wooden book shelf" decoding="async" loading="lazy" srcset="https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?w=1880&amp;ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=1024%2C681&amp;ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=768%2C511&amp;ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=1536%2C1021&amp;ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=380%2C254&amp;
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411							<h2 class="blog-title"><a href="https://gereshes.com/2022/06/19/grad-school-stats-and-unsolicited-advice/" title="Permalink to My Grad School Stats and Unsolicited Advice">My Grad School Stats and Unsolicited Advice</a></h2>							<p>Earlier this year I (successfully!) defended my dissertation titled &#8220;Design of Missed Thrust Resilient Trajectories Using Expected Thrust Fraction&#8221; and have now obtained my Doctorate of Philosophy. As, could have been expected, my dissertation was on Expected Thrust Fraction (Theory of Expected thrust fraction, an application to Mars Sample Return and Solar Sailing) Dissertation Abstract  &#8220;Low-thrust&hellip;</p>
412<p class="more-link"><a href="https://gereshes.com/2022/06/19/grad-school-stats-and-unsolicited-advice/" class="themebutton2">Read More</a></p>
413							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/06/19/grad-school-stats-and-unsolicited-advice/" title="My Grad School Stats and Unsolicited Advice"><time datetime="2022-06-19T07:00:00-05:00">2022-06-19</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/engineering/grad-school/" rel="category tag">Grad School</a></span></div>
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427							<div class="blog-thumb"><a href="https://gereshes.com/2022/01/03/how-many-starships-does-spacex-need-for-hls-refueling/"><img src="https://i0.wp.com/gereshes.com/wp-content/uploads/2021/12/for_press_release.jpg?resize=380%2C254&amp;ssl=1" class="attachment-consulting-thinkup-column3-2/3 size-consulting-thinkup-column3-2/3 wp-post-image" alt="" decoding="async" loading="lazy" /></a><div class="image-overlay"><div class="image-overlay-inner"><div class="hover-icons"><a class="hover-zoom prettyPhoto" href="https://i0.wp.com/gereshes.com/wp-content/uploads/2021/12/for_press_release.jpg?fit=%2C&#038;ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/01/03/how-many-starships-does-spacex-need-for-hls-refueling/"></a></div></div></div></div>
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432							<h2 class="blog-title"><a href="https://gereshes.com/2022/01/03/how-many-starships-does-spacex-need-for-hls-refueling/" title="Permalink to How many Starships does SpaceX need for HLS refueling?">How many Starships does SpaceX need for HLS refueling?</a></h2>							<p>Stuff Happens&#8230; In the tail end of 2021, SpaceX launched a commercial resupply mission to the ISS. That mission used Booster B1069, which landed successfully on the drone ship. Unfortunately, by the time it returned to port, something had happened, damaging most of the engines and likely requiring at least significant repairs. This led to&hellip;</p>
433<p class="more-link"><a href="https://gereshes.com/2022/01/03/how-many-starships-does-spacex-need-for-hls-refueling/" class="themebutton2">Read More</a></p>
434							<div class="entry-meta"><span class="date"><a href="https://gereshes.com/2022/01/03/how-many-starships-does-spacex-need-for-hls-refueling/" title="How many Starships does SpaceX need for HLS refueling?"><time datetime="2022-01-03T07:00:00-06:00">2022-01-03</time></a></span><span class="author"><a href="https://gereshes.com/author/admin/" title="View all posts by admin" rel="author">admin</a></span><span class="category"><a href="https://gereshes.com/category/engineering/" rel="category tag">Engineering</a></span></div>
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650
651
652</body>
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