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Rational Point: Alan Turing straight and narrow

2026-04-12T23:41:33Z

Alan Turing straight and narrow

← Older revision		Revision as of 23:41, 12 April 2026
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	However, life gets in the way. Life is about punishing our enemies, and making them pay for all the trouble and sorrow they have caused us and continue to cause us. The Pagans had a creed, "I will kill all my enemies." Once, having accomplished this, they accepted Christianity, but for a long time now, there is no peace, no rest on Sunday, since others we had thought to be friends and believed to be friends invited our enemies into our churches and usual places of worship to spite us. Perhaps they were ignorant, and perhaps in their ignorance they thought it was some small matter or another for which they could act as "peacemakers" — but no, those enemies really are our enemies, and they really are here to kill us, as that is their creed, on their side of the battle. Some of them wanted others to assume that we were all friends together, but that is not and cannot be the case. No. They bear malice which can no longer be concealed, and that is what bursts forth in open anger once ignorance is ruled out as a cause of their continual troublemaking.		However, life gets in the way. Life is about punishing our enemies, and making them pay for all the trouble and sorrow they have caused us and continue to cause us. The Pagans had a creed, "I will kill all my enemies." Once, having accomplished this, they accepted Christianity, but for a long time now, there is no peace, no rest on Sunday, since others we had thought to be friends and believed to be friends invited our enemies into our churches and usual places of worship to spite us. Perhaps they were ignorant, and perhaps in their ignorance they thought it was some small matter or another for which they could act as "peacemakers" — but no, those enemies really are our enemies, and they really are here to kill us, as that is their creed, on their side of the battle. Some of them wanted others to assume that we were all friends together, but that is not and cannot be the case. No. They bear malice which can no longer be concealed, and that is what bursts forth in open anger once ignorance is ruled out as a cause of their continual troublemaking.

			As an example of troublemaking one might consider the case of Alan Turing's dishonorable bosses and associates who insisted he was gay and tortured him to death on that account. All indications are that Alan Turing was simply much too straight and narrow for that "sort of nonsense up with which we will not put" to paraphrase Winston Churchill.

	== Introduction ==		== Introduction ==

Rational Point: Ignorance or malice?

2026-04-12T23:01:29Z

Ignorance or malice?

← Older revision		Revision as of 23:01, 12 April 2026
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	[[Image:Elliptic-curve-1.png\|frame\|right\|The elliptic curve		[[Image:Elliptic-curve-1.png\|frame\|right\|The elliptic curve
	<math>y^2=x^3-x^2+\frac 12</math>.]]		<math>y^2=x^3-x^2+\frac 12</math>.]]
			There is cryptography here, the rudimentary framework of it.

	* [[TO DO]]: Reminders, work in progress ...		* [[TO DO]]: Reminders, work in progress ...

			However, life gets in the way. Life is about punishing our enemies, and making them pay for all the trouble and sorrow they have caused us and continue to cause us. The Pagans had a creed, "I will kill all my enemies." Once, having accomplished this, they accepted Christianity, but for a long time now, there is no peace, no rest on Sunday, since others we had thought to be friends and believed to be friends invited our enemies into our churches and usual places of worship to spite us. Perhaps they were ignorant, and perhaps in their ignorance they thought it was some small matter or another for which they could act as "peacemakers" — but no, those enemies really are our enemies, and they really are here to kill us, as that is their creed, on their side of the battle. Some of them wanted others to assume that we were all friends together, but that is not and cannot be the case. No. They bear malice which can no longer be concealed, and that is what bursts forth in open anger once ignorance is ruled out as a cause of their continual troublemaking.

	== Introduction ==		== Introduction ==

Rational Point: TO DO

2026-04-04T14:45:04Z

TO DO

← Older revision		Revision as of 14:45, 4 April 2026
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	<math>y^2=x^3-x^2+\frac 12</math>.]]		<math>y^2=x^3-x^2+\frac 12</math>.]]

	[[TO DO]]		* [[TO DO]]: Reminders, work in progress ...

	== Introduction ==		== Introduction ==

Rational Point at 14:42, 4 April 2026

2026-04-04T14:42:37Z

@@ Line 2: / Line 2: @@
 <math>y^2=x^3-x^2+\frac 12</math>.]]
-== TO DO: ==
+[[TO DO]]
 == Introduction ==

Rational Point: padding

2025-02-11T20:25:27Z

padding

← Older revision		Revision as of 20:25, 11 February 2025
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	'''It's a total show-stopper: Get rid of the third-party equation-running services.'''		'''It's a total show-stopper: Get rid of the third-party equation-running services.'''
	=== Example error message when editing equations ===		=== Example error message when editing equations ===
	<p style="overflow:auto;color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></p>		<p style="overflow:auto;color:red;border:1pt solid black;padding:2ex"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></p>

	* <strong><tt>[https://wikimedia.org/api/rest_v1/ "https://wikimedia.org/api/rest_v1/"]</tt></strong> Huh? What's that for?		* <strong><tt>[https://wikimedia.org/api/rest_v1/ "https://wikimedia.org/api/rest_v1/"]</tt></strong> Huh? What's that for?

	<p style="overflow:auto;background-color:HotPink;>		<p style="overflow:auto;background-color:HotPink;padding:1ex>
	Example workaround code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.		Example workaround code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.
	</p>		</p>

Rational Point: /* Finite fields */ redacted source

2025-02-08T07:32:26Z

Finite fields: redacted source

← Older revision		Revision as of 07:32, 8 February 2025
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	It is in general a very difficult problem to calculate the exact number of points on an algebraic curve over a finite field within this range. The security of all elliptic curve cryptographic schemes is based on the discrete [[logarithm problem]] with respect to the [[point group operation]], which is in turn dependent on and closely related to the difficulty of this calculation of the number of points, if it is not defeated by the use of weak or trivially reducible curves in cryptographic applications.		It is in general a very difficult problem to calculate the exact number of points on an algebraic curve over a finite field within this range. The security of all elliptic curve cryptographic schemes is based on the discrete [[logarithm problem]] with respect to the [[point group operation]], which is in turn dependent on and closely related to the difficulty of this calculation of the number of points, if it is not defeated by the use of weak or trivially reducible curves in cryptographic applications.

			[[Schoof's point counting algorithm]] is supposed to run in polynomial time, but information is <span style="color:white;background-color:black"> REDACTED </span> in published ex-pat or non-U.S. sources. 🎗

	== Cryptographic applications ==		== Cryptographic applications ==

Rational Point: /* Example error message when editing equations */ api calls

2025-01-21T23:05:03Z

Example error message when editing equations: api calls

← Older revision		Revision as of 23:05, 21 January 2025
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	=== Example error message when editing equations ===		=== Example error message when editing equations ===
	<p style="overflow:auto;color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></p>		<p style="overflow:auto;color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></p>

			* <strong><tt>[https://wikimedia.org/api/rest_v1/ "https://wikimedia.org/api/rest_v1/"]</tt></strong> Huh? What's that for?

	<p style="overflow:auto;background-color:HotPink;>		<p style="overflow:auto;background-color:HotPink;>

Rational Point: error message

2025-01-21T22:23:50Z

error message

← Older revision		Revision as of 22:23, 21 January 2025
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	'''It's a total show-stopper: Get rid of the third-party equation-running services.'''		'''It's a total show-stopper: Get rid of the third-party equation-running services.'''
	=== Example error message when editing equations ===		=== Example error message when editing equations ===
	<p style="color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></p>		<p style="overflow:auto;color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></p>

	<p style="background-color:HotPink;>		<p style="overflow:auto;background-color:HotPink;>
	Example code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.		Example workaround code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.
	</p>		</p>

	Mathjax and Mathoid or Restbase or related services or funky MathML browser plugins are notorious for containing malicious code and spyware, and hidden calls to third party API services.		Mathjax and Mathoid or Restbase or related services or funky MathML browser plugins are notorious for containing malicious code and spyware, and hidden calls to third party API services.

Rational Point: p

2025-01-21T21:44:54Z

← Older revision		Revision as of 21:44, 21 January 2025
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	'''It's a total show-stopper: Get rid of the third-party equation-running services.'''		'''It's a total show-stopper: Get rid of the third-party equation-running services.'''
	=== Example error message when editing equations ===		=== Example error message when editing equations ===
	<~~div~~ style="color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></~~div~~>		<p style="color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></p>

	<~~div~~ style="background-color:HotPink;>		<p style="background-color:HotPink;>
	Example code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.		Example code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.
	</~~div~~>		</p>
	Mathjax and Mathoid or Restbase or related services or funky MathML browser plugins are notorious for containing malicious code and spyware, and hidden calls to third party API services.		Mathjax and Mathoid or Restbase or related services or funky MathML browser plugins are notorious for containing malicious code and spyware, and hidden calls to third party API services.

Rational Point: /* TO DO: */ back door

2025-01-21T21:44:14Z

TO DO:: back door

← Older revision		Revision as of 21:44, 21 January 2025
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	== TO DO: ==		== TO DO: ==
	'''It's a total show-stopper: Get rid of the third-party equation-running services.'''		'''It's a total show-stopper: Get rid of the third-party equation-running services.'''
			=== Example error message when editing equations ===
			<div style="color:red;border:1pt solid black"><big><strong><nowiki>Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E=mc^2}</nowiki></strong></big></div>

	<div style="background-color:HotPink;>		<div style="background-color:HotPink;>
	Example code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.		Example code is here: <big>'''[[Pure HTML Math]]'''</big> for equations without 3<sup>rd</sup>-party SaaS or equation-running malware. Please take a look and experiment yourself.
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	Math equations cannot be made up “beautiful” or spread “all over the web” or ripped off or dynamically rendered on other people’s websites. Math equations are highly technical, and they need to be left alone on people's websites, precisely as is, without any extraneous garbage dependencies or third party API services or pop-ups or dollar-sign script-runners or other javascript nonsense called in to dynamically render or display them.		Math equations cannot be made up “beautiful” or spread “all over the web” or ripped off or dynamically rendered on other people’s websites. Math equations are highly technical, and they need to be left alone on people's websites, precisely as is, without any extraneous garbage dependencies or third party API services or pop-ups or dollar-sign script-runners or other javascript nonsense called in to dynamically render or display them.

	The math jerks and the malicious software math equation web APIs gotta go. Stop ~~jacking~~ off the math equations!		The math jerks and the malicious software math equation web APIs gotta go. Stop running off with all the math equations out the back door!

	* https://www.etsy.com/market/hippity_hoppity_get_off_my_property_sign		* https://www.etsy.com/market/hippity_hoppity_get_off_my_property_sign