{"type":"doc","content":[{"type":"paragraph","content":[{"text":"In this document, mathematical functions are demonstrated with examples.","type":"text"}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"To view this example for all mathematical functions in the library, see (","type":"text"},{"type":"inlineCard","attrs":{"url":"https://openbrim.org/platform/?application=inc&author=ParamML_Examples_OpenBrIM+Platform&folder=Functions&obj=objiddgs5s0zubysq7d1t93detq"}},{"text":")","type":"text"}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"abs (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"8e62d575-150b-4bae-b931-4bddea429614"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function returns the absolute value of the specified number.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":"\n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":688,"id":"f81fb755-6c28-4c03-9904-b47872b7b780","collection":"contentId-2161868869","type":"file","height":346}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"acos (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"51356d85-fab3-4aea-a48f-d65256308bf8"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"It is a function that returns the arccosine of a given number in radians. The angle is given in radians between 0 and PI.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":727,"id":"bedd0ceb-3dc3-47f9-b3a1-5e9e84c86404","collection":"contentId-2161868869","type":"file","height":349}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"asin (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"b4a93d6d-b0b3-4b2d-b48e-f3ec4d59f908"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"It is a function that returns the arcsine of a given number in radians. The angle is given in radians between 0 and PI.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":686,"id":"2a5d6214-d410-4274-8339-3dfef3439290","collection":"contentId-2161868869","type":"file","height":355}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"atan (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"abe7685d-faa1-4dcf-a5d7-ba13ab6106ae"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"It is a function that returns the arctangent of a given number in radians. The angle is given in radians between 0 and PI.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":704,"id":"4e3db479-6cd8-444f-b3bf-638d64572bfd","collection":"contentId-2161868869","type":"file","height":360}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"atan2 (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"9f9f9601-1dcb-447f-96c9-2b9bf5ca865e"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function calculates the arctangent or inverse tangent of the given x and y coordinates. It determines the angle, in radians, between the x-axis and a line connecting the origin (0,0) to the specified x,y point. The resulting angle will be in the range of 0 to PI.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":690,"id":"3b5c5a07-089c-4de7-a136-24daebe61bb2","collection":"contentId-2161868869","type":"file","height":426}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"ceil (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"f5b74b56-5baa-4c73-80fd-e31ae494226f"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function rounds the specified number to the nearest integer that is greater than that number.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":699,"id":"56d6173e-21b1-49ef-8e44-c72ce1035023","collection":"contentId-2161868869","type":"file","height":353}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"cos (Angle)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"7b793d19-0a0e-47fa-8c7c-71bc21c729da"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"This function calculates the cosine of a specified number in radians. The input value must be within the range of 0 and PI.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":707,"id":"aa3d1bbe-6441-418e-bbe7-ffe55b0185e4","collection":"contentId-2161868869","type":"file","height":351}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"exp (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"b08df5d9-dab2-45aa-88cc-f90df7289de2"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"This function calculates the power of e (approximately equal to 2.7183) raised to the specified number. It returns the result of e^x, where x is the input number.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":717,"id":"7100cf8d-8bbe-4fda-a298-07ea039b4489","collection":"contentId-2161868869","type":"file","height":359}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"floor (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"dd88aa8b-3eba-413a-a3d0-8e7210c15a7b"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function rounds the specified number down to the nearest integer.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":709,"id":"93f97d05-080f-4d57-8dbe-a11ecff772df","collection":"contentId-2161868869","type":"file","height":356}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"log (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"4277e6bd-ad3d-482a-8f16-5db04c0bd831"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"This function calculates the natural logarithm, with base \"e\" (approximately equal to 2.7183), of the specified number. It returns the result of the logarithm calculation.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":718,"id":"db40d2c4-4756-4f2b-ad22-96f8c43ec6e0","collection":"contentId-2161868869","type":"file","height":352}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"max (Number1, Number2, ..)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"d743b8b0-8910-4e12-bda3-4e7255cb9882"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function returns the maximum value among the specified numbers. It compares all of the input numbers and returns the largest one as the result.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":725,"id":"de2aa316-65a2-4d98-a903-e27ac505e0e4","collection":"contentId-2161868869","type":"file","height":251}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"min (Number1, Number2, ..)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"f7a66d3e-ee18-453a-a81c-c4671464cca4"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function returns the minimum value among the specified numbers. It compares all of the input numbers and returns the lowest one as the result.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":721,"id":"91c7ccd5-9507-413e-bf8f-07ccf4ed1e68","collection":"contentId-2161868869","type":"file","height":240}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"pow (Number1, Number2)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"0d654673-0efc-4872-bee4-63e5bcbe15f6"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"This function calculates the result of raising the first specified number (number1) to the power of the second specified number (number2). The result will be number1","type":"text"},{"text":"number2.","type":"text","marks":[{"type":"subsup","attrs":{"type":"sup"}}]}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":794,"id":"d20c2799-1d40-419b-8e69-0b8236a62b8c","collection":"contentId-2161868869","type":"file","height":433}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"random ( )","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"939ba8ae-4ee3-48b9-a2ed-b673023e7286"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function returns a random decimal number between 0 and 1 inclusive. The result will be a pseudo-random value generated by the system.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":737,"id":"152e8ddb-5110-4c7b-b071-3764a424a660","collection":"contentId-2161868869","type":"file","height":319}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"round (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"0d9ce82e-e94c-4615-aefb-2589984da4fc"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function rounds the specified number to the nearest integer.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":726,"id":"024b85d6-8739-4a94-aefa-b49551b5e77a","collection":"contentId-2161868869","type":"file","height":540}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"sin (Angle)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"cbc73450-9684-41fb-892a-e8cb14b5f650"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"This function calculates the sine of a specified number in radians. The input value must be within the range of 0 and PI.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":732,"id":"a44caebc-98ae-4b20-91e8-446caf7661e1","collection":"contentId-2161868869","type":"file","height":373}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"sqrt (Number)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"e7c3dfa6-6e00-4104-9f60-c5788eac8e69"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"The function calculates the square root of the specified number. It returns the result of the square root calculation.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

\n ","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"mediaSingle","attrs":{"layout":"center"},"content":[{"type":"media","attrs":{"width":718,"id":"1b10df06-c16f-4073-8a4e-4502f2461634","collection":"contentId-2161868869","type":"file","height":349}},{"type":"caption","content":[{"text":"Debug Trace","type":"text"}]}]}]}]}]},{"type":"paragraph"},{"type":"paragraph","content":[{"text":"tan (Angle)","type":"text","marks":[{"type":"strong"}]}]},{"type":"table","attrs":{"layout":"default","localId":"56aba5cd-d364-46a7-bf79-64fa60c45ca1"},"content":[{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"paragraph","content":[{"text":"This function calculates the tangent of a specified number in radians. The input value must be within the range of 0 and PI.","type":"text"}]}]}]},{"type":"tableRow","content":[{"type":"tableCell","attrs":{"colspan":1,"rowspan":1,"colwidth":[680.0]},"content":[{"type":"codeBlock","attrs":{"language":"xml"},"content":[{"text":" \n

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