{"id":3820,"date":"2025-10-05T10:57:43","date_gmt":"2025-10-05T05:27:43","guid":{"rendered":"https:\/\/www.rangakrish.com\/?p=3820"},"modified":"2025-10-05T10:57:43","modified_gmt":"2025-10-05T05:27:43","slug":"pick-function-in-mathematica-14-3","status":"publish","type":"post","link":"https:\/\/www.rangakrish.com\/index.php\/2025\/10\/05\/pick-function-in-mathematica-14-3\/","title":{"rendered":"\u201cPick\u201d Function in Mathematica 14.3\u00a0"},"content":{"rendered":"

Pick<\/strong><\/em>\u00a0is a widely used function in Mathematica<\/strong><\/em>. A minor enhancement was made to this function in the recent release; it can now work directly with BitVector<\/strong><\/em> datastructure. In this article, let us go over these two with some examples.<\/p>\n

Let us start with Pick<\/strong><\/em> first. It allows us to select from a list of elements based on some criterion. Look at these examples:<\/p>\n

\"Using<\/a>
Using Pick Function<\/strong><\/figcaption><\/figure>\n

The first example selects week days based on a list of seven {True, False}<\/strong> <\/em>elements. In the second example we use randomly generated five {0, 1}<\/strong><\/em> integers and use Pick<\/strong><\/em> to select those elements from {a, b, c, d, e} <\/strong><\/em>where the corresponding integer is 1<\/strong><\/em> in the integer list.<\/p>\n

The third example generates a Cyclic<\/strong><\/em><\/a> object based on another Cyclic<\/strong><\/em> object.<\/p>\n

BitVector<\/h4>\n

BitVector<\/strong><\/em> is one of the several built-in<\/strong><\/em> data structures in Mathematica<\/strong><\/em>. These data structures are highly optimized in terms of space and operations.<\/p>\n

There are standard operations that are defined on BitVector<\/strong><\/em>, for example, Setting<\/strong><\/em>, Clearing<\/strong><\/em>, and Inverting<\/strong><\/em> bits.<\/p>\n

\"Using<\/a>
BitVector Operations<\/strong><\/figcaption><\/figure>\n

The function \u201cNormal[]\u201d<\/strong><\/em> is convenient for converting the BitVector<\/strong><\/em> object to a list of {True, False}<\/strong><\/em> elements for easy decoding. As you can guess, \u201cTrue\u201d<\/strong><\/em> corresponds to \u201c1\u201d<\/strong><\/em> inside the BitVector<\/strong><\/em> and \u201cFalse\u201d<\/strong><\/em> corresponds to \u201c0\u201d<\/strong><\/em>.<\/p>\n

We can even \u201cvisualize\u201d<\/strong><\/em> the BitVector<\/strong><\/em> object thus:<\/p>\n

\"Visualizing<\/a>
Visualizing BitVector<\/strong><\/figcaption><\/figure>\n

Using BitVector with Pick<\/h4>\n

Now that we know about both Pick<\/strong><\/em> and BitVector<\/strong><\/em>, let us see how we can combine both. How do we \u201cPick\u201d<\/strong><\/em> those elements from a list based on the contents of a BitVector<\/strong><\/em>? Here are some examples:<\/p>\n

\"Using<\/a>
Using BitVector in Pick<\/strong><\/figcaption><\/figure>\n

Being able to use a BitVector<\/strong><\/em> object directly with Pick<\/strong><\/em>, instead of converting the object to a list of Boolean<\/strong><\/em> values is definitely cleaner and more efficient. This enhancement in the new release of Mathematica is welcome indeed!\u00a0<\/span><\/p>\n

Have a great weekend!<\/p>\n","protected":false},"excerpt":{"rendered":"

Pick\u00a0is a widely used function in Mathematica. A minor enhancement was made to this function in the recent release; it can now work directly with BitVector datastructure. In this article, let us go over these two with some examples. Let us start with Pick first. It allows us to select from a list of elements […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"advanced_seo_description":"","jetpack_seo_html_title":"","jetpack_seo_noindex":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[72,17],"tags":[437,436],"class_list":["post-3820","post","type-post","status-publish","format-standard","hentry","category-mathematica","category-programming","tag-bitvector","tag-pick"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p9OLnF-ZC","jetpack-related-posts":[{"id":870,"url":"https:\/\/www.rangakrish.com\/index.php\/2018\/03\/25\/question-answering-in-mathematica\/","url_meta":{"origin":3820,"position":0},"title":"Question Answering in Mathematica","author":"admin","date":"March 25, 2018","format":false,"excerpt":"About 10 days ago, I received an update for Mathematica. The latest version is 11.3.0. As usual, I looked through the list of new features\u00a0in this release. There are several new features, but one of them attracted my attention immediately: There is a new function FindTextualAnswer\u00a0that, given a piece of\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"Example 1","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2018\/03\/Example1.png?resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2018\/03\/Example1.png?resize=350%2C200 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2018\/03\/Example1.png?resize=525%2C300 1.5x"},"classes":[]},{"id":348,"url":"https:\/\/www.rangakrish.com\/index.php\/2016\/09\/26\/computer-vision-with-mathematica\/","url_meta":{"origin":3820,"position":1},"title":"Computer Vision with Mathematica","author":"admin","date":"September 26, 2016","format":false,"excerpt":"Over the past several weeks, I have been discussing many interesting features of Mathematica. As a continuation, today, I would like to show some cool functionality in the domain of computer vision and machine learning. The function ImageIdentify[] tries to identify the object in the given image. According to the\u2026","rel":"","context":"In "Machine Learning"","block_context":{"text":"Machine Learning","link":"https:\/\/www.rangakrish.com\/index.php\/category\/machine-learning\/"},"img":{"alt_text":"A Truck","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2016\/09\/truck-fig.png?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":3807,"url":"https:\/\/www.rangakrish.com\/index.php\/2025\/09\/12\/cyclic-function-in-mathematica-14-3\/","url_meta":{"origin":3820,"position":2},"title":"“Cyclic” Function in Mathematica 14.3","author":"admin","date":"September 12, 2025","format":false,"excerpt":"\u201cCyclic\u201d is a new function introduced in the recent Wolfram Mathematica 14.3 release. It represents a repeating sequence, something that we encounter often. For example, how do we represent the sequence {1,2,3,4,1,2,3,4,1,2,3,4\u2026}? \u201cCyclic\u201d captures this idea. In other words \u201cCyclic[{1,2,3,4}]\u201d denotes the same repeating sequence as above. Other examples: weekdays\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"Accessing Cyclic Elements","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2025\/09\/access-283x300.png?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":3514,"url":"https:\/\/www.rangakrish.com\/index.php\/2024\/10\/02\/using-openai-from-mathematica-part-2\/","url_meta":{"origin":3820,"position":3},"title":"Using OpenAI from Mathematica: Part-2","author":"admin","date":"October 2, 2024","format":false,"excerpt":"I had written an earlier article\u00a0showing how to use OpenAI models from Mathematica ver 14.0.\u00a0 Wolfram Mathematica ver 14.1 was released recently, with several improvements in the area of LLMs. Of course, there are many other core additions as well, but our focus is on LLMs in this article. This\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"LLMSynthesize Function","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2024\/10\/image1-300x71.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2024\/10\/image1-300x71.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2024\/10\/image1-300x71.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":3626,"url":"https:\/\/www.rangakrish.com\/index.php\/2025\/02\/21\/using-openai-from-mathematica-part-3\/","url_meta":{"origin":3820,"position":4},"title":"Using OpenAI from Mathematica: Part-3","author":"admin","date":"February 21, 2025","format":false,"excerpt":"Let us continue our discussion on using Mathematica to interact with OpenAI (you may want to go through the earlier article as well). The simplest function to interact with the LLM is LLMSynthesize[]. As you might have guessed, this is a \u201csync\u201d (non-streaming) call. What if you expect a long\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"Basic LLMSynthesize","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2025\/02\/fig1-300x21.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2025\/02\/fig1-300x21.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2025\/02\/fig1-300x21.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":1541,"url":"https:\/\/www.rangakrish.com\/index.php\/2019\/04\/21\/textcontents-function-in-mathematica-12\/","url_meta":{"origin":3820,"position":5},"title":"TextContents[ ] Function in Mathematica 12","author":"admin","date":"April 21, 2019","format":false,"excerpt":"Mathematica 12 was released a few days ago.\u00a0 It has been over a year since version 11.3 came out in March 2018. The long wait appears justified since the new release boasts of numerous improvements and new features across several areas. You may want to read this blog post\u00a0by Stephen\u2026","rel":"","context":"In "Mathematica"","block_context":{"text":"Mathematica","link":"https:\/\/www.rangakrish.com\/index.php\/category\/mathematica\/"},"img":{"alt_text":"Importing Text File","src":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/04\/FileImport.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/04\/FileImport.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.rangakrish.com\/wp-content\/uploads\/2019\/04\/FileImport.png?resize=525%2C300&ssl=1 1.5x"},"classes":[]}],"_links":{"self":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/posts\/3820","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/comments?post=3820"}],"version-history":[{"count":2,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/posts\/3820\/revisions"}],"predecessor-version":[{"id":3826,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/posts\/3820\/revisions\/3826"}],"wp:attachment":[{"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/media?parent=3820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/categories?post=3820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rangakrish.com\/index.php\/wp-json\/wp\/v2\/tags?post=3820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}