// Numbas version: exam_results_page_options
{"name": "Construir la tabla de verdad para una proposici\u00f3n compuesta....", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Construir la tabla de verdad para una proposici\u00f3n compuesta....", "tags": [], "metadata": {"description": "<p>Crear una tabla de verdad para una expresi&oacute;n l&oacute;gica de la forma:</p>\n<p>$$(a \\ {op1}\\,\\&nbsp;&nbsp;b) \\ {op2}\\,\\ (c \\ {op3} \\,\\ d)$$</p>\n<p>donde $a, \\;b,\\;c,\\;d$ pueden variables booleanas $p,\\;q,\\;\\neg p,\\;\\neg q$&nbsp; y cada operador&nbsp; $\\operatorname{op1},\\;\\operatorname{op2},\\;\\operatorname{op3}$&nbsp; es uno de los conectivos $\\lor,\\;\\land,\\;\\to$.</p>\n<p>Por ejemplo: $(p \\lor \\neg q) \\land(q \\to \\neg p)$.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>En la siguiente pregunta se pide que construya una tabla de verdad para:</p>\n<p>\\[(\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1}).\\]</p>\n<p>Ingrese V si es verdadero, de lo contrario ingrese F.</p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>\n<p></p>", "advice": "<div class=\"tlid-input input\">\n<div class=\"source-wrap\">\n<div class=\"input-full-height-wrapper tlid-input-full-height-wrapper\">\n<div class=\"source-input\">\n<div class=\"source-header\">\n<div class=\"go-wrap\"></div>\n</div>\n<div class=\"source-footer-wrap source-or-target-footer\">\n<div class=\"character-count tlid-character-count\"></div>\n<div class=\"source-footer\">\n<div class=\"speech-wrap source-or-target-footer-button left-positioned\">\n<div id=\"gt-speech\" class=\"speech-button goog-toolbar-button\" aria-label=\"Activar la entrada de voz\" data-tooltip-align=\"t,c\" aria-pressed=\"false\" role=\"button\" aria-disabled=\"false\" data-tooltip=\"Activar la entrada de voz\" tabindex=\"0\"></div>\n</div>\n</div>\n</div>\n</div>\n</div>\n</div>\n</div>\n<div class=\"tlid-results-container results-container\">\n<div class=\"tlid-result result-dict-wrapper\">\n<div class=\"result tlid-copy-target\">\n<div class=\"text-wrap tlid-copy-target\">\n<div class=\"result-shield-container tlid-copy-target\"><span class=\"tlid-translation translation\"><span title=\"\" class=\"\">Primero encontramos la tabla de verdad para&nbsp;&nbsp;</span></span>$\\var{a} \\var{op} \\var{b}$:</div>\n</div>\n</div>\n</div>\n</div>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a} \\var{op} \\var{b}$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{ev1[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{ev1[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{ev1[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{ev1[3]}$</td>\n</tr>\n</tbody>\n</table>\n<p>Entonces la tabla de verdad para $\\var{a1} \\var{op2} \\var{b1}$ es:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a1} \\var{op2} \\var{b1}$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>$\\var{ev2[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>$\\var{ev2[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>$\\var{ev2[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>$\\var{ev2[3]}$</td>\n</tr>\n</tbody>\n</table>\n<p>Colocando todo junto en una tabla para encontrar $(\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1})$:</p>\n<p></p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$\\var{a} \\var{op} \\var{b}$</th>\n<th>$\\var{a1} \\var{op2} \\var{b1}$</th>\n<th>$(\\var{a} \\var{op} \\var{b})\\var{op1}(\\var{a1} \\var{op2} \\var{b1})$</th>\n</tr>\n<tr>\n<td>$\\var{ev1[0]}$</td>\n<td>$\\var{ev2[0]}$</td>\n<td>$\\var{t_value[0]}$</td>\n</tr>\n<tr>\n<td>$\\var{ev1[1]}$</td>\n<td>$\\var{ev2[1]}$</td>\n<td>$\\var{t_value[1]}$</td>\n</tr>\n<tr>\n<td>$\\var{ev1[2]}$</td>\n<td>$\\var{ev2[2]}$</td>\n<td>$\\var{t_value[2]}$</td>\n</tr>\n<tr>\n<td>$\\var{ev1[3]}$</td>\n<td>$\\var{ev2[3]}$</td>\n<td>$\\var{t_value[3]}$</td>\n</tr>\n</tbody>\n</table>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"pre_ev2": {"name": "pre_ev2", "group": "Second Bracket", "definition": "map(evaluate(convch(a1)+\" \"+conv(op2)+\" \"+convch(b1),[p[t],q[t]]),t,0..3)", "description": "", "templateType": "anything", "can_override": false}, "q": {"name": "q", "group": "Truth values", "definition": "[true,false,true,false]", "description": "", "templateType": "anything", "can_override": false}, "t_value": {"name": "t_value", "group": "Ungrouped variables", "definition": "bool_to_label(map(evaluate(pre_ev1[t]+\" \"+conv(op1)+\" \"+pre_ev2[t],[]),t,0..3))", "description": "", "templateType": "anything", "can_override": false}, "ev2": {"name": "ev2", "group": "Second Bracket", "definition": "bool_to_label(pre_ev2)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "First Bracket", "definition": "latex(latex_symbol_list[s[1]])", "description": "", "templateType": "anything", "can_override": false}, "s": {"name": "s", "group": "Lists of symbols", "definition": "repeat(random(0..3),4)", "description": "", "templateType": "anything", "can_override": false}, "latex_symbol_list": {"name": "latex_symbol_list", "group": "Lists of symbols", "definition": "[\"p\",\"q\",\"\\\\neg p\",\"\\\\neg q\"]", "description": "", "templateType": "anything", "can_override": false}, "ev1": {"name": "ev1", "group": "First Bracket", "definition": "bool_to_label(pre_ev1)", "description": "", "templateType": "anything", "can_override": false}, "a1": {"name": "a1", "group": "Second Bracket", "definition": "latex(latex_symbol_list[s[2]])", "description": "", "templateType": "anything", "can_override": false}, "disq": {"name": "disq", "group": "Truth values", "definition": "bool_to_label(q)", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "First Bracket", "definition": "latex(latex_symbol_list[s[0]])", "description": "", "templateType": "anything", "can_override": false}, "b1": {"name": "b1", "group": "Second Bracket", "definition": "latex(latex_symbol_list[s[3]])", "description": "", "templateType": "anything", "can_override": false}, "op1": {"name": "op1", "group": "Ungrouped variables", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}, "disp": {"name": "disp", "group": "Truth values", "definition": "bool_to_label(p)", "description": "", "templateType": "anything", "can_override": false}, "logic_symbol_list": {"name": "logic_symbol_list", "group": "Lists of symbols", "definition": "[\"p\",\"q\",\"not p\",\"not q\"]", "description": "", "templateType": "anything", "can_override": false}, "op2": {"name": "op2", "group": "Second Bracket", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}, "p": {"name": "p", "group": "Truth values", "definition": "[true,true,false,false]", "description": "", "templateType": "anything", "can_override": false}, "pre_ev1": {"name": "pre_ev1", "group": "First Bracket", "definition": "map(evaluate(convch(a)+\" \"+conv(op)+\" \"+convch(b),[p[t],q[t]]),t,0..3)", "description": "", "templateType": "anything", "can_override": false}, "op": {"name": "op", "group": "First Bracket", "definition": "latex(random(\"\\\\lor\",\"\\\\land\",\"\\\\to\"))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "a1 <>b1 and\nif(a='p' or a='\\\\neg p',b=random('q','\\\\neg q'),b=random('p','\\\\neg p'))\n", "maxRuns": "150"}, "ungrouped_variables": ["op1", "t_value"], "variable_groups": [{"name": "Lists of symbols", "variables": ["logic_symbol_list", "latex_symbol_list", "s"]}, {"name": "First Bracket", "variables": ["a", "b", "op", "pre_ev1", "ev1"]}, {"name": "Second Bracket", "variables": ["a1", "b1", "op2", "pre_ev2", "ev2"]}, {"name": "Truth values", "variables": ["p", "q", "disp", "disq"]}], "functions": {"convch": {"parameters": [["ch", "string"]], "type": "string", "language": "jme", "definition": "switch(ch=\"\\\\neg p\",\"not p[t]\",ch=\"\\\\neg q\",\"not q[t]\",ch=\"p\",\"p[t]\",\"q[t]\")"}, "evaluate": {"parameters": [["expr", "string"], ["dependencies", "list"]], "type": "number", "language": "javascript", "definition": "return scope.evaluate(expr);"}, "bool_to_label": {"parameters": [["l", "list"]], "type": "number", "language": "jme", "definition": "map(if(l[x],'V','F'),x,0..length(l)-1)"}, "conv": {"parameters": [["op", "string"]], "type": "string", "language": "jme", "definition": "switch(op=\"\\\\land\",\"and\",op=\"\\\\lor\",\"or\",\"implies\")"}}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<div class=\"tlid-input input\">\n<div class=\"source-wrap\">\n<div class=\"input-full-height-wrapper tlid-input-full-height-wrapper\">\n<div class=\"source-input\">\n<div class=\"source-header\">\n<div class=\"go-wrap\"></div>\n</div>\n<div class=\"source-footer-wrap source-or-target-footer\">\n<div class=\"character-count tlid-character-count\"></div>\n<div class=\"source-footer\">\n<div class=\"speech-wrap source-or-target-footer-button left-positioned\">\n<div id=\"gt-speech\" class=\"speech-button goog-toolbar-button\" aria-label=\"Activar la entrada de voz\" data-tooltip-align=\"t,c\" aria-pressed=\"false\" role=\"button\" aria-disabled=\"false\" data-tooltip=\"Activar la entrada de voz\" tabindex=\"0\">Completa la siguiente tabla de verdad:</div>\n<div class=\"speech-button goog-toolbar-button\" aria-label=\"Activar la entrada de voz\" data-tooltip-align=\"t,c\" aria-pressed=\"false\" role=\"button\" aria-disabled=\"false\" data-tooltip=\"Activar la entrada de voz\" tabindex=\"0\"></div>\n<div class=\"speech-button goog-toolbar-button\" aria-label=\"Activar la entrada de voz\" data-tooltip-align=\"t,c\" aria-pressed=\"false\" role=\"button\" aria-disabled=\"false\" data-tooltip=\"Activar la entrada de voz\" tabindex=\"0\"></div>\n</div>\n</div>\n</div>\n</div>\n</div>\n</div>\n</div>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>$p$</th>\n<th>$q$</th>\n<th>$\\var{a} \\var{op} \\var{b}$</th>\n<th>$\\var{a1} \\var{op2} \\var{b1}$</th>\n<th>$(\\var{a} \\var{op} \\var{b}) \\var{op1} (\\var{a1} \\var{op2} \\var{b1})$</th>\n</tr>\n<tr>\n<td>$\\var{disp[0]}$</td>\n<td>$\\var{disq[0]}$</td>\n<td>[[0]]</td>\n<td>[[4]]</td>\n<td>[[8]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[1]}$</td>\n<td>$\\var{disq[1]}$</td>\n<td>[[1]]</td>\n<td>[[5]]</td>\n<td>[[9]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[2]}$</td>\n<td>$\\var{disq[2]}$</td>\n<td>[[2]]</td>\n<td>[[6]]</td>\n<td>[[10]]</td>\n</tr>\n<tr>\n<td>$\\var{disp[3]}$</td>\n<td>$\\var{disq[3]}$</td>\n<td>[[3]]</td>\n<td>[[7]]</td>\n<td>[[11]]</td>\n</tr>\n</tbody>\n</table>", "gaps": [{"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[0]}", "displayAnswer": "{ev1[0]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[1]}", "displayAnswer": "{ev1[1]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[2]}", "displayAnswer": "{ev1[2]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev1[3]}", "displayAnswer": "{ev1[3]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[0]}", "displayAnswer": "{ev2[0]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[1]}", "displayAnswer": "{ev2[1]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[2]}", "displayAnswer": "{ev2[2]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{ev2[3]}", "displayAnswer": "{ev2[3]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{t_value[0]}", "displayAnswer": "{t_value[0]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{t_value[1]}", "displayAnswer": "{t_value[1]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{t_value[2]}", "displayAnswer": "{t_value[2]}", "matchMode": "regex"}, {"type": "patternmatch", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{t_value[3]}", "displayAnswer": "{t_value[3]}", "matchMode": "regex"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}