#digraphs — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #digraphs, aggregated by home.social.
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Riffs and Rotes • Happy New Year 2023
• https://inquiryintoinquiry.com/2023/01/01/riffs-and-rotes-happy-new-year-2023/\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)
\( \text{Then} ~ 2023=7\cdot{17}^2=p_{4}p_{7}^2=p_{{p_1}^{p_1}}p_{p_4}^{p_1} =p_{{p_1}^{p_1}}p_{p_{{p_1}^{p_1}}}^{p_1} \)
No information is lost by dropping the terminal 1s. Thus we may write the following form.
\[ 2023=p_{p^p} p_{p_{p^p}}^p \]
Forms like these correspond to a family of #Digraphs called #Riffs and a family of #Graphs called #Rotes.
#GraphTheory #NumberTheory #Primes #PrimeNumbers #RiffsAndRotes
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Riffs and Rotes • Happy New Year 2023
• https://inquiryintoinquiry.com/2023/01/01/riffs-and-rotes-happy-new-year-2023/\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)
\( \text{Then} ~ 2023=7\cdot{17}^2=p_{4}p_{7}^2=p_{{p_1}^{p_1}}p_{p_4}^{p_1} =p_{{p_1}^{p_1}}p_{p_{{p_1}^{p_1}}}^{p_1} \)
No information is lost by dropping the terminal 1s. Thus we may write the following form.
\[ 2023=p_{p^p} p_{p_{p^p}}^p \]
Forms like these correspond to a family of #Digraphs called #Riffs and a family of #Graphs called #Rotes.
#GraphTheory #NumberTheory #Primes #PrimeNumbers #RiffsAndRotes
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Riffs and Rotes • Happy New Year 2023
• https://inquiryintoinquiry.com/2023/01/01/riffs-and-rotes-happy-new-year-2023/\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)
\( \text{Then} ~ 2023=7\cdot{17}^2=p_{4}p_{7}^2=p_{{p_1}^{p_1}}p_{p_4}^{p_1} =p_{{p_1}^{p_1}}p_{p_{{p_1}^{p_1}}}^{p_1} \)
No information is lost by dropping the terminal 1s. Thus we may write the following form.
\[ 2023=p_{p^p} p_{p_{p^p}}^p \]
Forms like these correspond to a family of #Digraphs called #Riffs and a family of #Graphs called #Rotes.
#GraphTheory #NumberTheory #Primes #PrimeNumbers #RiffsAndRotes
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Riffs and Rotes • Happy New Year 2023
• https://inquiryintoinquiry.com/2023/01/01/riffs-and-rotes-happy-new-year-2023/\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)
\( \text{Then} ~ 2023=7\cdot{17}^2=p_{4}p_{7}^2=p_{{p_1}^{p_1}}p_{p_4}^{p_1} =p_{{p_1}^{p_1}}p_{p_{{p_1}^{p_1}}}^{p_1} \)
No information is lost by dropping the terminal 1s. Thus we may write the following form.
\[ 2023=p_{p^p} p_{p_{p^p}}^p \]
Forms like these correspond to a family of #Digraphs called #Riffs and a family of #Graphs called #Rotes.
#GraphTheory #NumberTheory #Primes #PrimeNumbers #RiffsAndRotes
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Riffs and Rotes • Happy New Year 2023
• https://inquiryintoinquiry.com/2023/01/01/riffs-and-rotes-happy-new-year-2023/\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)
\( \text{Then} ~ 2023=7\cdot{17}^2=p_{4}p_{7}^2=p_{{p_1}^{p_1}}p_{p_4}^{p_1} =p_{{p_1}^{p_1}}p_{p_{{p_1}^{p_1}}}^{p_1} \)
No information is lost by dropping the terminal 1s. Thus we may write the following form.
\[ 2023=p_{p^p} p_{p_{p^p}}^p \]
Forms like these correspond to a family of #Digraphs called #Riffs and a family of #Graphs called #Rotes.
#GraphTheory #NumberTheory #Primes #PrimeNumbers #RiffsAndRotes