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									"text" : "Converting between from float to int:"
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									"text" : "expr int($f1)"
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									"text" : "first"
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									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 497.5, 525.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-62",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 497.5, 476.0, 86.0, 23.0 ],
									"text" : "expr sqrt($f1)"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-59",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 439.0, 424.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-58",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 345.0, 525.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-57",
									"maxclass" : "newobj",
									"numinlets" : 2,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 345.0, 476.0, 113.0, 23.0 ],
									"text" : "expr pow($f1\\, $f2)"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-56",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 231.0, 525.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-55",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 231.0, 476.0, 85.0, 23.0 ],
									"text" : "expr exp($f1)"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-54",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 125.0, 525.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-53",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 125.0, 476.0, 74.0, 23.0 ],
									"text" : "expr ln($f1)"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-52",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 11.0, 525.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-51",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 11.0, 424.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-50",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 11.0, 476.0, 96.0, 23.0 ],
									"text" : "expr log10($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-48",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 11.0, 393.0, 249.0, 21.0 ],
									"text" : "Exponential and logarithmic functions:"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-42",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 202.0, 350.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-43",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 105.0, 350.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-44",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 11.0, 350.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-45",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 202.0, 311.0, 89.0, 23.0 ],
									"text" : "expr tanh($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-46",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 105.0, 311.0, 92.0, 23.0 ],
									"text" : "expr cosh($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-47",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 11.0, 311.0, 88.0, 23.0 ],
									"text" : "expr sinh($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-41",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 628.0, 126.0, 150.0, 21.0 ],
									"text" : "compare with atan..."
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-39",
									"maxclass" : "message",
									"numinlets" : 2,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 681.0, 154.0, 35.0, 23.0 ],
									"text" : "-1 -1"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-38",
									"maxclass" : "message",
									"numinlets" : 2,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 628.0, 154.0, 29.5, 23.0 ],
									"text" : "1 1"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-35",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 628.0, 263.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-36",
									"maxclass" : "newobj",
									"numinlets" : 2,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 628.0, 224.0, 122.0, 23.0 ],
									"text" : "expr atan2($f1\\, $f2)"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-33",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 249.0, 166.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-32",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 380.0, 145.0, 110.0, 21.0 ],
									"text" : "input is in radians"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-31",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 71.0, 145.0, 110.0, 21.0 ],
									"text" : "input is in radians"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-28",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 446.5, 189.0, 19.0, 21.0 ],
									"text" : "1"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-27",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 558.0, 166.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-26",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 516.5, 189.0, 31.0, 21.0 ],
									"text" : "π/2"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-25",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 327.5, 189.0, 19.0, 21.0 ],
									"text" : "0"
								}

							}
, 							{
								"box" : 								{
									"floatoutput" : 1,
									"id" : "obj-24",
									"maxclass" : "slider",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 316.0, 168.0, 230.0, 17.0 ],
									"size" : 1.57
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-16",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 507.0, 263.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-17",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 410.0, 263.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-18",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 316.0, 263.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-20",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 507.0, 224.0, 89.0, 23.0 ],
									"text" : "expr atan($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-21",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 410.0, 224.0, 92.0, 23.0 ],
									"text" : "expr acos($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-22",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 316.0, 224.0, 88.0, 23.0 ],
									"text" : "expr asin($f1)"
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-15",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 202.0, 270.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-14",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 105.0, 270.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"format" : 6,
									"id" : "obj-13",
									"maxclass" : "flonum",
									"numinlets" : 1,
									"numoutlets" : 2,
									"outlettype" : [ "", "bang" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 11.0, 270.0, 50.0, 23.0 ]
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-10",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 202.0, 231.0, 82.0, 23.0 ],
									"text" : "expr tan($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-9",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 105.0, 231.0, 84.0, 23.0 ],
									"text" : "expr cos($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-8",
									"maxclass" : "newobj",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"patching_rect" : [ 11.0, 231.0, 81.0, 23.0 ],
									"text" : "expr sin($f1)"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-7",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 209.5, 189.0, 25.0, 21.0 ],
									"text" : "2π"
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-6",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 18.5, 189.0, 19.0, 21.0 ],
									"text" : "0"
								}

							}
, 							{
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									"floatoutput" : 1,
									"id" : "obj-4",
									"maxclass" : "slider",
									"numinlets" : 1,
									"numoutlets" : 1,
									"outlettype" : [ "" ],
									"parameter_enable" : 0,
									"patching_rect" : [ 11.0, 168.0, 230.0, 17.0 ],
									"size" : 6.28
								}

							}
, 							{
								"box" : 								{
									"id" : "obj-3",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 10.0, 113.0, 150.0, 21.0 ],
									"text" : "Trigonometric functions:"
								}

							}
, 							{
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									"fontname" : "Arial",
									"fontsize" : 13.0,
									"id" : "obj-11",
									"maxclass" : "comment",
									"numinlets" : 1,
									"numoutlets" : 0,
									"patching_rect" : [ 10.0, 69.599853515625, 145.0, 21.0 ],
									"text" : "Mathematical functions:"
								}

							}
, 							{
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									"border" : 0,
									"filename" : "helpname.js",
									"id" : "obj-19",
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									"jsarguments" : [ "expr" ],
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									"patching_rect" : [ 10.0, 10.0, 98.312004089355469, 57.599853515625 ]
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									"text" : "expr $i3 * ($i1 + $i2)"
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									"text" : "Expression arguments can be either int ($i1 - $i9) or float ($f1 - $f9). Compare what happens:"
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									"text" : "expr $i1 + $i2 * $i3"
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									"text" : "expr $f1 * $f2 * 0.1"
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