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214Cinematic-e1511378334651.png) no-repeat center; background-size: cover;" alt="Experimental Rocketry" /><div class="rslides-content"><div class="wrap-safari"><div class="rslides-content-inner"><div class="featured"><div class="featured-title"><span>Experimental Rocketry</span></div><div class="featured-excerpt"><p><span>Real rocket science</span></p></div><div class="featured-link"><a href="https://gereshes.com/rocketry/experimental-rocketry/"><span>Read More</span></a></div></div></div></div></div></li></ul></div></div></div></div> 215 216 </div> 217 218 </header> 219 <!-- header --> 220 221 <div id="section-home"><div id="section-home-inner"><article class="section1 one_third"><div class="services-builder style1"><div class="iconimage"><a href="https://gereshes.com/research-2/"><i class="fa fa-flask fa-2x"></i></a></div><div class="iconmain"><h3>Research</h3><p>My current and past research topics</p> 222<p class="iconurl"><a class="themebutton2" href="https://gereshes.com/research-2/">Read More</a></p></div></div></article><article class="section2 one_third"><div class="services-builder style1"><div class="iconimage"><a href="https://gereshes.com/projects/"><i class="fa fa-rocket fa-2x"></i></a></div><div class="iconmain"><h3>Projects</h3><p>A selection of projects I have worked on</p> 223<p class="iconurl"><a class="themebutton2" href="https://gereshes.com/projects/">Read More</a></p></div></div></article><article class="section3 one_third last"><div class="services-builder style1"><div class="iconimage"><i class="fa fa-book fa-2x"></i></div><div class="iconmain"><h3>Blog</h3><p>Exploring a nonlinear world one assumption at a time</p> 224</div></div></article><div class="clearboth"></div></div></div> 225 <div id="content"> 226 <div id="content-core"> 227 228 <div id="main"> 229 <div id="main-core"> 230 231 <div id="container"> 232 233 234 <div class="blog-grid element column-3"> 235 236 <article id="post-4279" class="blog-article post-4279 post type-post status-publish format-image has-post-thumbnail hentry category-astrodynamics category-uncategorized post_format-post-format-image format-media"> 237 238 <header class="entry-header"> 239 240 <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&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&ssl=1 380w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/subwayDiagram.jpg?zoom=2&resize=380%2C254&ssl=1 760w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/subwayDiagram.jpg?zoom=3&resize=380%2C254&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&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> 241 </header> 242 243 <div class="entry-content"> 244 245 <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…</p> 246<p class="more-link"><a href="https://gereshes.com/2022/09/04/designing-multiple-missed-thrust-event-resilient-trajectories-using-virtual-swarms/" class="themebutton2">Read More</a></p> 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> 248 </div><div class="clearboth"></div> 249 250 </article><!-- #post- --> 251 252 </div> 253 254 255 <div class="blog-grid element column-3"> 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&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&ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=300%2C200&ssl=1 300w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=1024%2C682&ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=768%2C512&ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=1536%2C1024&ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/08/pexels-photo-924824.jpeg?resize=380%2C254&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&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…</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> 269 </div><div class="clearboth"></div> 270 271 </article><!-- #post- --> 272 273 </div> 274 275 276 <div class="blog-grid element column-3"> 277 278 <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&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&ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/07/31/dall-e-a-first-pass/"></a></div></div></div></div> 283 </header> 284 285 <div class="entry-content"> 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> 289 </div><div class="clearboth"></div> 290 291 </article><!-- #post- --> 292 293 </div> 294 295 296 <div class="blog-grid element column-3"> 297 298 <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&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&ssl=1 380w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/pexels-photo-590493.jpeg?zoom=2&resize=380%2C254&ssl=1 760w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/07/pexels-photo-590493.jpeg?zoom=3&resize=380%2C254&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&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> 304 305 <div class="entry-content"> 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 – Astrodynamics Edition">Select Textbooks on my Shelf #1 – 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 – 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> 309 </div><div class="clearboth"></div> 310 311 </article><!-- #post- --> 312 313 </div> 314 315 316 <div class="blog-grid element column-3"> 317 318 <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&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&ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=1024%2C681&ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=768%2C511&ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=1536%2C1021&ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-164686.jpeg?resize=380%2C254&
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&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> 324 325 <div class="entry-content"> 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’s 1 + (1e-16) -1? That’s easy you might say, it’s just 1e-16 We can check that with our favorite calculator (in my case that’s a TI-84 that I’ve had for way too long, but its easier to take screenshots of python) and we get Wait, that’s not right. What’s going on? (If…</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> 330 </div><div class="clearboth"></div> 331 332 </article><!-- #post- --> 333 334 </div> 335 336 337 <div class="blog-grid element column-3"> 338 339 <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&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&ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=300%2C200&ssl=1 300w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=1024%2C682&ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=768%2C512&ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=1536%2C1024&ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/pexels-photo-8386422.jpeg?resize=380%2C254&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&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> 345 346 <div class="entry-content"> 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’s a new set of handwringing over plagiarism  enabled by GPT-3. It’s been two years so that handwringing has even reached philosophy departments. Sarcastically, a voice inside me said “EZ, Just use GPT-3 to detect plagiarism”. Then, another voice inside me,…</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> 351 </div><div class="clearboth"></div> 352 353 </article><!-- #post- --> 354 355 </div> 356 357 358 <div class="blog-grid element column-3"> 359 360 <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&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&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> 366 367 <div class="entry-content"> 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’s CAPSTONE Mission">An Introduction to NASA’s CAPSTONE Mission</a></h2> <p>Cislunar Autonomous Positioning System Technology Operations and Navigation Experiment NASA’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…</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’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> 372 </div><div class="clearboth"></div> 373 374 </article><!-- #post- --> 375 376 </div> 377 378 379 <div class="blog-grid element column-3"> 380 381 <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&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&ssl=1 380w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/stepSize.png?zoom=2&resize=380%2C254&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&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…</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> 393 </div><div class="clearboth"></div> 394 395 </article><!-- #post- --> 396 397 </div> 398 399 400 <div class="blog-grid element column-3"> 401 402 <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&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&ssl=1 1880w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=1024%2C681&ssl=1 1024w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=768%2C511&ssl=1 768w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=1536%2C1021&ssl=1 1536w, https://i0.wp.com/gereshes.com/wp-content/uploads/2022/06/books-bookstore-book-reading-159711.jpeg?resize=380%2C254&
406ssl=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/books-bookstore-book-reading-159711.jpeg?fit=1880%2C1250&ssl=1"></a><a class="hover-link" href="https://gereshes.com/2022/06/19/grad-school-stats-and-unsolicited-advice/"></a></div></div></div></div> 407 </header> 408 409 <div class="entry-content"> 410 411 <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 “Design of Missed Thrust Resilient Trajectories Using Expected Thrust Fraction” 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 “Low-thrust…</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> 414 </div><div class="clearboth"></div> 415 416 </article><!-- #post- --> 417 418 </div> 419 420 421 <div class="blog-grid element column-3"> 422 423 <article id="post-4019" class="blog-article post-4019 post type-post status-publish format-image has-post-thumbnail hentry category-engineering post_format-post-format-image format-media"> 424 425 <header class="entry-header"> 426 427 <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&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&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> 428 </header> 429 430 <div class="entry-content"> 431 432 <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… 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…</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> 435 </div><div class="clearboth"></div> 436 437 </article><!-- #post- --> 438 439 </div> 440 441 442 </div><div class="clearboth"></div> 443 444 445 <nav class="navigation pagination" aria-label="Posts pagination"> 446 <h2 class="screen-reader-text">Posts pagination</h2> 447 <div class="nav-links"><span aria-current="page" class="page-numbers current">1</span> 448<a class="page-numbers" href="https://gereshes.com/page/2/">2</a> 449<a class="page-numbers" href="https://gereshes.com/page/3/">3</a> 450<span class="page-numbers dots">…</span> 451<a class="page-numbers" href="https://gereshes.com/page/12/">12</a> 452<a class="next page-numbers" href="https://gereshes.com/page/2/"><i class="fa fa-angle-right"></i></a></div> 453 </nav> 454 455 456 </div><!-- #main-core --> 457 </div><!-- #main --> 458 459 <div id="sidebar"> 460 <div id="sidebar-core"> 461 462 <aside class="widget widget_archive"><h3 class="widget-title">Blog Posts</h3> 463 <ul> 464 <li><a href='https://gereshes.com/2022/09/'>September 2022</a> (1)</li> 465 <li><a href='https://gereshes.com/2022/08/'>August 2022</a> (1)</li> 466 <li><a href='https://gereshes.com/2022/07/'>July 2022</a> (5)</li> 467 <li><a href='https://gereshes.com/2022/06/'>June 2022</a> (2)</li> 468 <li><a href='https://gereshes.com/2022/01/'>January 2022</a> (1)</li> 469 <li><a href='https://gereshes.com/2021/08/'>August 2021</a> (1)</li> 470 <li><a href='https://gereshes.com/2021/07/'>July 2021</a> (2)</li> 471 <li><a href='https://gereshes.com/2021/06/'>June 2021</a> (1)</li> 472 <li><a href='https://gereshes.com/2021/05/'>May 2021</a> (1)</li> 473 <li><a href='https://gereshes.com/2021/02/'>February 2021</a> (1)</li> 474 <li><a href='https://gereshes.com/2021/01/'>January 2021</a> (1)</li> 475 <li><a href='https://gereshes.com/2020/09/'>September 2020</a> (1)</li> 476 <li><a href='https://gereshes.com/2020/08/'>August 2020</a> (1)</li> 477 <li><a href='https://gereshes.com/2020/06/'>June 2020</a> (1)</li> 478 <li><a href='https://gereshes.com/2020/03/'>March 2020</a> (1)</li> 479 <li><a href='https://gereshes.com/2020/02/'>February 2020</a> (4)</li> 480 <li><a href='https://gereshes.com/2020/01/'>January 2020</a> (4)</li> 481 <li><a href='https://gereshes.com/2019/12/'>December 2019</a> (1)</li> 482 <li><a href='https://gereshes.com/2019/11/'>November 2019</a> (3)</li> 483 <li><a href='https://gereshes.com/2019/10/'>October 2019</a> (4)</li> 484 <li><a href='https://gereshes.com/2019/09/'>September 2019</a> (5)</li> 485 <li><a href='https://gereshes.com/2019/08/'>August 2019</a> (3)</li> 486 <li><a href='https://gereshes.com/2019/07/'>
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