Example NuWebKit Models

Rsalter — Mon, 13 Apr 2026 14:53:01 GMT

Numerus Originals

← Older revision		Revision as of 14:53, 13 April 2026
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	:A simple mass-action SIR model demonstrating the WebKit Sensitivity analysis platform.		:A simple mass-action SIR model demonstrating the WebKit Sensitivity analysis platform.

	* [https://94803ca8ae7275c8ec82-af69fe8046cb86ce613bfe795f3569f4.ssl.cf1.rackcdn.com/NumerusOL/WebKit/~~dynss~~/index.html DynSS Examples]		* [https://94803ca8ae7275c8ec82-af69fe8046cb86ce613bfe795f3569f4.ssl.cf1.rackcdn.com/NumerusOL/WebKit/dynss1/index.html DynSS v. 1.1 Examples]
	:An app in which the user programs the models. Discussed extensively in the [[WebKit Users Guide]].		:An app in which the user programs the models. Discussed extensively in the [[WebKit Users Guide]]. Version 1.1 includes AI !!!!

	* [https://94803ca8ae7275c8ec82-af69fe8046cb86ce613bfe795f3569f4.ssl.cf1.rackcdn.com/NumerusOL/WebKit/agents/index.html Agents]		* [https://94803ca8ae7275c8ec82-af69fe8046cb86ce613bfe795f3569f4.ssl.cf1.rackcdn.com/NumerusOL/WebKit/agents/index.html Agents]

NuML Language Reference

Rsalter — Fri, 03 Apr 2026 20:13:02 GMT

Semantic Rules for #=

← Older revision		Revision as of 20:13, 3 April 2026
(17 intermediate revisions by the same user not shown)
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	<code>legend</code>, <code>phase</code>, <code>title</code>, <code>statDat</code>, <code>statParam</code>, <code>integration</code>,<code>statRuns</code>, <code>statLo</code>, <code>statHi</code>, <code>min</code>, <code>max</code>, <code>step</code>, <code>xlabel</code>, <code>ylabel</code>, <code>interval</code>		<code>legend</code>, <code>phase</code>, <code>title</code>, <code>statDat</code>, <code>statParam</code>, <code>integration</code>,<code>statRuns</code>, <code>statLo</code>, <code>statHi</code>, <code>min</code>, <code>max</code>, <code>step</code>, <code>xlabel</code>, <code>ylabel</code>, <code>interval</code>
	</blockquote>		</blockquote>
			;Keywords
			:Special terms used by #= to identify UI components:
			::<code>Slider</code>, <code>Switch</code>, <code>TimeGraph</code>, <code>PhaseGraph</code>, <code>StatGraph</code>
			:These may be followed by numbers; e.g., <code>Slider1</code>, <code>Slider2</code>, etc.

	;Computational Expression		;Computational Expression
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	==Syntax Rules for <code>@=</code>==		==Syntax Rules for <code>@=</code>==

	''LHS'' can be:		LHS can be:
	:An identifier		:An identifier
	:A call expression of the form:		:A call expression of the form:
	::<code>deriv(''ident'')</code>		::<code>deriv(</code>ident<code>)</code>
	::<code>~~initial~~(''ident'')</code>		::<code>next(</code>ident<code>)</code>
	::<code>~~update~~(''ident<~~sub~~>1</~~sub~~>~~'', ''ident~~<~~sub~~>2</~~sub~~>'', ...)</code>		::<code>initial(</code>ident</code>)</code>
			::<code>update(</code>ident1, ident2, ...<code>)</code>
	:these are discussed below.		:these are discussed below.

	''RHS'' can be		RHS can be
	: A computational expression when ''LHS'' is either <code>deriv</code>, <code>initial</code> or an identifier.		: A computational expression when LHS is either <code>deriv</code>, <code>next</code>, <code>initial</code> or an identifier.
	: An identifier when ''LHS'' is <code>update</code>		: An identifier when LHS is <code>update</code>

	Examples		Examples
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	initial(I) @= I0<br>		initial(I) @= I0<br>
	initial(R) @= 0<br><br>		initial(R) @= 0<br><br>
	update(S,I,R) @= ~~mainGraph~~<br><br>		update(S,I,R) @= TimeGraph<br><br>
	N @= ~~Param1~~<br>		N @= Slider1<br>
	beta @= ~~Param2~~<br>		beta @= Slider2<br>
	I0 @= ~~Param3~~<br>		I0 @= Slider3<br>
	sigma @= ~~Param4~~<br>		sigma @= Slider4<br>
			</code><br>
			<hr>
			<code><br>
			next(L) @= R * L * (1 - L)<br>
			initial(L) @= 0.5<br>
			update(L) @= TimeGraph<br>
			R @= Slider1<br>
	</code>		</code>
	</blockquote>		</blockquote>
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	== Semantic Rules for <code>@=</code> ==		== Semantic Rules for <code>@=</code> ==

	* <code>deriv(~~''Arg''~~)</code> asserts a that the ''RHS'' equation is the time derivative of ''~~Arg''~~		* <code>deriv(</code>ident<code>)</code> asserts a that the RHS equation is the time derivative of ident(t)
	* <code>initial(~~''Arg''~~)</code> asserts that the ''RHS'' is the initial value of ~~''Arg''~~		* <code>next(</code>ident<code>)</code> asserts a that the RHS equation is the next element in the time sequence ident<sub>0</sub>, ident<sub>1</sub>'', ...
	* <code>update(~~''Arg~~<~~sub~~>~~1''~~, ~~''Arg<sub>2''~~, ...)</code> asserts that ~~''Arg<sub>1''~~, ~~''Arg<sub>2''~~, ... should be downloaded to the output component with ID of the ''RHS''. The arguments should match the legend assigned to the output component		: e.g., <code> next(X) @= X + 1</code>
			* <code>initial(</code>ident<code>)</code> asserts that the RHS is the initial value of ident
			* <code>update(</code>arg1, arg2, ...<code>)</code> asserts that arg1, arg2, ... should be downloaded to the output component with ID of the RHS. The arguments should match the legend assigned to the output component

	An identifier appearing on the ''LHS'' is defined by the expression on the ''RHS''.		An identifier appearing on the LHS is defined by the expression on the ''RHS''.

	== Syntax Rules for <code>#=</code> ==		== Syntax Rules for <code>#=</code> ==

	''LHS'' can be		LHS can be
	: An identifier		: An identifier
	: An array of identifiers		: An array of identifiers

	''RHS'' can be		RHS can be
	: A constant, primop, or array of primops		: A constant, primop, or array of primops

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	<blockquote>		<blockquote>
	<code><br>		<code><br>
	~~mainGraph~~ #= [legend(S,I,R), title("SIR Model")]<br>		TimeGraph #= [legend(S,I,R), title("SIR Model")]<br>
	~~statsGraph~~ #= title("Infection Stats")<br>		StatGraph #= title("Infection Stats")<br>
	~~statsGraph~~ #= [statDat(I),statParam(~~Beta~~),statRuns(12),statLo(3.4),statHi(4.5)]<br>		StatGraph #= [statDat(I),statParam(beta),statRuns(12),statLo(3.4),statHi(4.5)]<br>
	~~Param1~~ #= [legend(N),max(1000000),step(1000)]<br>		Slider1 #= [legend(N),max(1000000),step(1000)]<br>
	~~Param2~~ #= [legend(~~Beta~~),max(10),step(0.1)]<br>		Slider2 #= [legend(beta),max(10),step(0.1)]<br>
	~~Param3~~ #= [legend(I0),max(10),step(0.1)]<br>		Slider3 #= [legend(I0),max(10),step(0.1)]<br>
	~~Param4~~ #= [legend(~~Sigma~~),max(10),step(0.1)];<br>		Slider4 #= [legend(sigma),max(10),step(0.1)];<br>
	[~~Param5~~, ~~Param6~~] #= legend("");<br>		[Slider5, Slider6] #= legend("");<br>
	</code>		</code>
	</blockquote>		</blockquote>

	== Semantic Rules for <code>#=</code> ==		== Semantic Rules for <code>#=</code> ==
	* Identifiers on the ''LHS'' reference component IDs or parameters such as <code>dt</code>		* Identifiers on the LHS reference component IDs or parameters such as <code>dt</code>
	* Constants on the ''RHS'' are only used with parameters and assign values to them.		* Constants on the RHS are only used with parameters and assign values to them.
	* Primops on the ''RHS'' are only used with component IDs and define attributes such as legend, max value, etc.		* Primops on the RHS are only used with component IDs and define attributes such as legend, max value, etc.
	* Arrays on either side "multiply out" to as sequence of statements and are there for convenience.		* Arrays on either side "multiply out" to a sequence of statements and are there for convenience.

	== Primops for <code>@=</code> ==		== Primops for <code>@=</code> ==
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	Integration Control		Integration Control
	:'''dt'''		:'''dt'''
	:'''~~integration~~''' ('''RK4''' or '''Euler''')		::Integration step size
			:'''method''' ('''RK4''' or '''Euler''')

	Sensitivity Analysis Platform		Sensitivity Analysis Platform
	;statParam		:'''statParam'''
	:Parameter varied by sensitivity test		::Parameter varied by sensitivity test
	;statDat		:'''statDat'''
	:Value to be graphed		::Value to be graphed
	;statRuns		:'''statRuns'''
	:Number of runs		::Number of runs
	;StatLo, StatHi		:'''StatLo, StatHi'''
	:Testing boundaries		::Testing boundaries

			Integration notes:
			:'''method #= RK4'''
			::Solves a differential equation dx/dt = f(x) numerically using the Runge-Kutte 4 algorithm. If dt is not specified, it defaults to 0.5. RK4 requires that dt be some fraction of 1.0.

			:'''method #= Euler'''
			::Solves a differential equation dx/dt = f(x) numerically using Euler's method. Any value can be used for dt.

			:'''method''' and '''dt''' are both ignored for any quantity defined by '''next'''.

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