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2 lines
No EOL
154 KiB
JavaScript
2 lines
No EOL
154 KiB
JavaScript
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",dragon_face:"🐲",dress:"👗",dromedary_camel:"🐪",drooling_face:"🤤",droplet:"💧",drum:"🥁",duck:"🦆",dvd:"📀","e-mail":"📧",eagle:"🦅",ear:"👂",ear_of_rice:"🌾",earth_africa:"🌍",earth_americas:"🌎",earth_asia:"🌏",egg:"🥚",eggplant:"🍆",eight_pointed_black_star:"✴️",eight_spoked_asterisk:"✳️",electric_plug:"🔌",elephant:"🐘",email:"✉️",end:"🔚",envelope_with_arrow:"📩",euro:"💶",european_castle:"🏰",european_post_office:"🏤",evergreen_tree:"🌲",exclamation:"❗️",expressionless:"😑",eye:"👁",eye_speech_bubble:"👁‍🗨",eyeglasses:"👓",eyes:"👀",face_with_head_bandage:"🤕",face_with_thermometer:"🤒",fist_oncoming:"👊",factory:"🏭",fallen_leaf:"🍂",family_man_woman_boy:"👪",family_man_boy:"👨‍👦",family_man_boy_boy:"👨‍👦‍👦",family_man_girl:"👨‍👧",family_man_girl_boy:"👨‍👧‍👦",family_man_girl_girl:"👨‍👧‍👧",family_man_man_boy:"👨‍👨‍👦",family_man_man_boy_boy:"👨‍👨‍👦‍👦",family_man_man_girl:"👨‍👨‍👧",family_man_man_girl_boy:"👨‍👨‍👧‍👦",family_man_man_girl_girl:"👨‍👨‍👧‍👧",family_man_woman_boy_boy:"👨‍👩‍👦‍👦",family_man_woman_girl:"👨‍👩‍👧",family_man_woman_girl_boy:"👨‍👩‍👧‍👦",family_man_woman_girl_girl:"👨‍👩‍👧‍👧",family_woman_boy:"👩‍👦",family_woman_boy_boy:"👩‍👦‍👦",family_woman_girl:"👩‍👧",family_woman_girl_boy:"👩‍👧‍👦",family_woman_girl_girl:"👩‍👧‍👧",family_woman_woman_boy:"👩‍👩‍👦",family_woman_woman_boy_boy:"👩‍👩‍👦‍👦",family_woman_woman_girl:"👩‍👩‍👧",family_woman_woman_girl_boy:"👩‍👩‍👧‍👦",family_woman_woman_girl_girl:"👩‍👩‍👧‍👧",fast_forward:"⏩",fax:"📠",fearful:"😨",feet:"🐾",female_detective:"🕵️‍♀️",ferris_wheel:"🎡",ferry:"⛴",field_hockey:"🏑",file_cabinet:"🗄",file_folder:"📁",film_projector:"📽",film_strip:"🎞",fire:"🔥",fire_engine:"🚒",fireworks:"🎆",first_quarter_moon:"🌓",first_quarter_moon_with_face:"🌛",fish:"🐟",fish_cake:"🍥",fishing_pole_and_fish:"🎣",fist_raised:"✊",fist_left:"🤛",fist_right:"🤜",flags:"🎏",flashlight:"🔦",fleur_de_lis:"⚜️",flight_arrival:"🛬",flight_departure:"🛫",floppy_disk:"💾",flower_playing_cards:"🎴",flushed:"😳",fog:"🌫",foggy:"🌁",football:"🏈",footprints:"👣",fork_and_knife:"🍴",fountain:"⛲️",fountain_pen:"🖋",four_leaf_clover:"🍀",fox_face:"🦊",framed_picture:"🖼",free:"🆓",fried_egg:"🍳",fried_shrimp:"🍤",fries:"🍟",frog:"🐸",frowning:"😦",frowning_face:"☹️",frowning_man:"🙍‍♂️",frowning_woman:"🙍",middle_finger:"🖕",fuelpump:"⛽️",full_moon:"🌕",full_moon_with_face:"🌝",funeral_urn:"⚱️",game_die:"🎲",gear:"⚙️",gem:"💎",gemini:"♊️",ghost:"👻",gift:"🎁",gift_heart:"💝",girl:"👧",globe_with_meridians:"🌐",goal_net:"🥅",goat:"🐐",golf:"⛳️",golfing_man:"🏌️",golfing_woman:"🏌️‍♀️",gorilla:"🦍",grapes:"🍇",green_apple:"🍏",green_book:"📗",green_heart:"💚",green_salad:"🥗",grey_exclamation:"❕",grey_question:"❔",grimacing:"😬",grin:"😁",grinning:"😀",guardsman:"💂",guardswoman:"💂‍♀️",guitar:"🎸",gun:"🔫",haircut_woman:"💇",haircut_man:"💇‍♂️",hamburger:"🍔",hammer:"🔨",hammer_and_pick:"⚒",hammer_and_wrench:"🛠",hamster:"🐹",hand:"✋",handbag:"👜",handshake:"🤝",hankey:"💩",hatched_chick:"🐥",hatching_chick:"🐣",headphones:"🎧",hear_no_evil:"🙉",heart:"❤️",heart_decoration:"💟",heart_eyes:"😍",heart_eyes_cat:"😻",heartbeat:"💓",heartpulse:"💗",hearts:"♥️",heavy_check_mark:"✔️",heavy_division_sign:"➗",heavy_dollar_sign:"💲",heavy_heart_exclamation:"❣️",heavy_minus_sign:"➖",heavy_multiplication_x:"✖️",heavy_plus_sign:"➕",helicopter:"🚁",herb:"🌿",hibiscus:"🌺",high_brightness:"🔆",high_heel:"👠",hocho:"🔪",hole:"🕳",honey_pot:"🍯",horse:"🐴",horse_racing:"🏇",hospital:"🏥",hot_pepper:"🌶",hotdog:"🌭",hotel:"🏨",hotsprings:"♨️",hourglass:"⌛️",hourglass_flowing_sand:"⏳",house:"🏠",house_with_garden:"🏡",houses:"🏘",hugs:"🤗",hushed:"😯",ice_cream:"🍨",ice_hockey:"🏒",ice_skate:"⛸",icecream:"🍦",id:"🆔",ideograph_advantage:"🉐",imp:"👿",inbox_tray:"📥",incoming_envelope:"📨",tipping_hand_woman:"💁",information_source:"ℹ️",innocent:"😇",interrobang:"⁉️",iphone:"📱",izakaya_lantern:"🏮",jack_o_lantern:"🎃",japan:"🗾",japanese_castle:"🏯",japanese_goblin:"👺",japanese_ogre:"👹",jeans:"👖",joy:"😂",joy_cat:"😹",joystick:"🕹",kaaba:"🕋",key:"🔑",keyboard:"⌨️",keycap_ten:"🔟",kick_scooter:"🛴",kimono:"👘",kiss:"💋",kissing:"😗",kissing_cat:"😽",kissing_closed_eyes:"😚",kissing_heart:"😘",kissing_smiling_eyes:"😙",kiwi_fruit:"🥝",koala:"🐨",koko:"🈁",label:"🏷",large_blue_circle:"🔵",large_blue_diamond:"🔷",large_orange_diamond:"🔶",last_quarter_moon:"🌗",last_quarter_moon_with_face:"🌜",latin_cross:"✝️",laughing:"😆",leaves:"🍃",ledger:"📒",left_luggage:"🛅",left_right_arrow:"↔️",leftwards_arrow_with_hook:"↩️",lemon:"🍋",leo:"♌️",leopard:"🐆",level_slider:"🎚",libra:"♎️",light_rail:"🚈",link:"🔗",lion:"🦁",lips:"👄",lipstick:"💄",lizard:"🦎",lock:"🔒",lock_with_ink_pen:"🔏",lollipop:"🍭",loop:"➿",loud_sound:"🔊",loudspeaker:"📢",love_hotel:"🏩",love_letter:"💌",low_brightness:"🔅",lying_face:"🤥",m:"Ⓜ️",mag:"🔍",mag_right:"🔎",mahjong:"🀄️",mailbox:"📫",mailbox_closed:"📪",mailbox_with_mail:"📬",mailbox_with_no_mail:"📭",man:"👨",man_artist:"👨‍🎨",man_astronaut:"👨‍🚀",man_cartwheeling:"🤸‍♂️",man_cook:"👨‍🍳",man_dancing:"🕺",man_facepalming:"🤦‍♂️",man_factory_worker:"👨‍🏭",man_farmer:"👨‍🌾",man_firefighter:"👨‍🚒",man_health_worker:"👨‍⚕️",man_in_tuxedo:"🤵",man_judge:"👨‍⚖️",man_juggling:"🤹‍♂️",man_mechanic:"👨‍🔧",man_office_worker:"👨‍💼",man_pilot:"👨‍✈️",man_playing_handball:"🤾‍♂️",man_playing_water_polo:"🤽‍♂️",man_scientist:"👨‍🔬",man_shrugging:"🤷‍♂️",man_singer:"👨‍🎤",man_student:"👨‍🎓",man_teacher:"👨‍🏫",man_technologist:"👨‍💻",man_with_gua_pi_mao:"👲",man_with_turban:"👳",tangerine:"🍊",mans_shoe:"👞",mantelpiece_clock:"🕰",maple_leaf:"🍁",martial_arts_uniform:"🥋",mask:"😷",massage_woman:"💆",massage_man:"💆‍♂️",meat_on_bone:"🍖",medal_military:"🎖",medal_sports:"🏅",mega:"📣",melon:"🍈",memo:"📝",men_wrestling:"🤼‍♂️",menorah:"🕎",mens:"🚹",metal:"🤘",metro:"🚇",microphone:"🎤",microscope:"🔬",milk_glass:"🥛",milky_way:"🌌",minibus:"🚐",minidisc:"💽",mobile_phone_off:"📴",money_mouth_face:"🤑",money_with_wings:"💸",moneybag:"💰",monkey:"🐒",monkey_face:"🐵",monorail:"🚝",moon:"🌔",mortar_board:"🎓",mosque:"🕌",motor_boat:"🛥",motor_scooter:"🛵",motorcycle:"🏍",motorway:"🛣",mount_fuji:"🗻",mountain:"⛰",mountain_biking_man:"🚵",mountain_biking_woman:"🚵‍♀️",mountain_cableway:"🚠",mountain_railway:"🚞",mountain_snow:"🏔",mouse:"🐭",mouse2:"🐁",movie_camera:"🎥",moyai:"🗿",mrs_claus:"🤶",muscle:"💪",mushroom:"🍄",musical_keyboard:"🎹",musical_note:"🎵",musical_score:"🎼",mute:"🔇",nail_care:"💅",name_badge:"📛",national_park:"🏞",nauseated_face:"🤢",necktie:"👔",negative_squared_cross_mark:"❎",nerd_face:"🤓",neutral_face:"😐",new:"🆕",new_moon:"🌑",new_moon_with_face:"🌚",newspaper:"📰",newspaper_roll:"🗞",next_track_button:"⏭",ng:"🆖",no_good_man:"🙅‍♂️",no_good_woman:"🙅",night_with_stars:"🌃",no_bell:"🔕",no_bicycles:"🚳",no_entry:"⛔️",no_entry_sign:"🚫",no_mobile_phones:"📵",no_mouth:"😶",no_pedestrians:"🚷",no_smoking:"🚭","non-potable_water":"🚱",nose:"👃",notebook:"📓",notebook_with_decorative_cover:"📔",notes:"🎶",nut_and_bolt:"🔩",o:"⭕️",o2:"🅾️",ocean:"🌊",octopus:"🐙",oden:"🍢",office:"🏢",oil_drum:"🛢",ok:"🆗",ok_hand:"👌",ok_man:"🙆‍♂️",ok_woman:"🙆",old_key:"🗝",older_man:"👴",older_woman:"👵",om:"🕉",on:"🔛",oncoming_automobile:"🚘",oncoming_bus:"🚍",oncoming_police_car:"🚔",oncoming_taxi:"🚖",open_file_folder:"📂",open_hands:"👐",open_mouth:"😮",open_umbrella:"☂️",ophiuchus:"⛎",orange_book:"📙",orthodox_cross:"☦️",outbox_tray:"📤",owl:"🦉",ox:"🐂",package:"📦",page_facing_up:"📄",page_with_curl:"📃",pager:"📟",paintbrush:"🖌",palm_tree:"🌴",pancakes:"🥞",panda_face:"🐼",paperclip:"📎",paperclips:"🖇",parasol_on_ground:"⛱",parking:"🅿️",part_alternation_mark:"〽️",partly_sunny:"⛅️",passenger_ship:"🛳",passport_control:"🛂",pause_button:"⏸",peace_symbol:"☮️",peach:"🍑",peanuts:"🥜",pear:"🍐",pen:"🖊",pencil2:"✏️",penguin:"🐧",pensive:"😔",performing_arts:"🎭",persevere:"😣",person_fencing:"🤺",pouting_woman:"🙎",phone:"☎️",pick:"⛏",pig:"🐷",pig2:"🐖",pig_nose:"🐽",pill:"💊",pineapple:"🍍",ping_pong:"🏓",pisces:"♓️",pizza:"🍕",place_of_worship:"🛐",plate_with_cutlery:"🍽",play_or_pause_button:"⏯",point_down:"👇",point_left:"👈",point_right:"👉",point_up:"☝️",point_up_2:"👆",police_car:"🚓",policewoman:"👮‍♀️",poodle:"🐩",popcorn:"🍿",post_office:"🏣",postal_horn:"📯",postbox:"📮",potable_water:"🚰",potato:"🥔",pouch:"👝",poultry_leg:"🍗",pound:"💷",rage:"😡",pouting_cat:"😾",pouting_man:"🙎‍♂️",pray:"🙏",prayer_beads:"📿",pregnant_woman:"🤰",previous_track_button:"⏮",prince:"🤴",princess:"👸",printer:"🖨",purple_heart:"💜",purse:"👛",pushpin:"📌",put_litter_in_its_place:"🚮",question:"❓",rabbit:"🐰",rabbit2:"🐇",racehorse:"🐎",racing_car:"🏎",radio:"📻",radio_button:"🔘",radioactive:"☢️",railway_car:"🚃",railway_track:"🛤",rainbow:"🌈",rainbow_flag:"🏳️‍🌈",raised_back_of_hand:"🤚",raised_hand_with_fingers_splayed:"🖐",raised_hands:"🙌",raising_hand_woman:"🙋",raising_hand_man:"🙋‍♂️",ram:"🐏",ramen:"🍜",rat:"🐀",record_button:"⏺",recycle:"♻️",red_circle:"🔴",registered:"®️",relaxed:"☺️",relieved:"😌",reminder_ribbon:"🎗",repeat:"🔁",repeat_one:"🔂",rescue_worker_helmet:"⛑",restroom:"🚻",revolving_hearts:"💞",rewind:"⏪",rhinoceros:"🦏",ribbon:"🎀",rice:"🍚",rice_ball:"🍙",rice_cracker:"🍘",rice_scene:"🎑",right_anger_bubble:"🗯",ring:"💍",robot:"🤖",rocket:"🚀",rofl:"🤣",roll_eyes:"🙄",roller_coaster:"🎢",rooster:"🐓",rose:"🌹",rosette:"🏵",rotating_light:"🚨",round_pushpin:"📍",rowing_man:"🚣",rowing_woman:"🚣‍♀️",rugby_football:"🏉",running_man:"🏃",running_shirt_with_sash:"🎽",running_woman:"🏃‍♀️",sa:"🈂️",sagittarius:"♐️",sake:"🍶",sandal:"👡",santa:"🎅",satellite:"📡",saxophone:"🎷",school:"🏫",school_satchel:"🎒",scissors:"✂️",scorpion:"🦂",scorpius:"♏️",scream:"😱",scream_cat:"🙀",scroll:"📜",seat:"💺",secret:"㊙️",see_no_evil:"🙈",seedling:"🌱",selfie:"🤳",shallow_pan_of_food:"🥘",shamrock:"☘️",shark:"🦈",shaved_ice:"🍧",sheep:"🐑",shell:"🐚",shield:"🛡",shinto_shrine:"⛩",ship:"🚢",shirt:"👕",shopping:"🛍",shopping_cart:"🛒",shower:"🚿",shrimp:"🦐",signal_strength:"📶",six_pointed_star:"🔯",ski:"🎿",skier:"⛷",skull:"💀",skull_and_crossbones:"☠️",sleeping:"😴",sleeping_bed:"🛌",sleepy:"😪",slightly_frowning_face:"🙁",slightly_smiling_face:"🙂",slot_machine:"🎰",small_airplane:"🛩",small_blue_diamond:"🔹",small_orange_diamond:"🔸",small_red_triangle:"🔺",small_red_triangle_down:"🔻",smile:"😄",smile_cat:"😸",smiley:"😃",smiley_cat:"😺",smiling_imp:"😈",smirk:"😏",smirk_cat:"😼",smoking:"🚬",snail:"🐌",snake:"🐍",sneezing_face:"🤧",snowboarder:"🏂",snowflake:"❄️",snowman:"⛄️",snowman_with_snow:"☃️",sob:"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",Object(le.h)("a",{href:"https://personale.unimore.it/rubrica/dettaglio/mmontangero"},"Prof.ssa Manuela Montangero")," nel secondo semestre dell'Anno Accademico 2018/2019.")),Object(le.h)(Oe,{title:Object(le.h)("a",{href:"/vldigeometria"},"Videolezioni di Geometria")},Object(le.h)("p",null,"Ottime videolezioni di Geometria con licenza ",Object(le.h)("a",{href:"https://creativecommons.org/licenses/by-nc-sa/4.0/"},"CC BY-NC-SA 4.0")," che ho trovato sul ",Object(le.h)("a",{href:"https://dolly.fim.unimore.it/2018/course/view.php?id=14#section-0"},"portale Dolly 2018")," dell'",Object(le.h)("a",{href:"https://www.unimore.it/"},"Unimore"),".")),Object(le.h)(Oe,{title:Object(le.h)("a",{href:"/mingwinstall"},"Come installare MinGW")},Object(le.h)("p",null,"Un breve tutorial con immagini su come installare e configurare ",Object(le.h)("a",{href:"https://it.wikipedia.org/wiki/MinGW"},"MinGW")," per compilare programmi C e C++ su Windows."))),Ae=Object(le.h)(ze,{title:"Altri collegamenti 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pi cdot epsilon_0 cdot s^2}"],["\\left | \\vec{F}_{elettrica} \\right | = \\frac{q_1 \\cdot q_2}{4 \\pi \\cdot \\epsilon_0 \\cdot s^2}"]),Kt=H(["\vec{E} = \frac{\vec{F}_{elettrica}}{q} = \frac{-k cdot q}{s^2}"],["\\vec{E} = \\frac{\\vec{F}_{elettrica}}{q} = \\frac{-k \\cdot q}{s^2}"]),Yt=H(["Phi_E = \vec{E} cdot \vec{A}"],["\\Phi_E = \\vec{E} \\cdot \\vec{A}"]),Qt=H(["Phi_E = \vec{E} cdot \vec{A} = E_perp cdot A cdot cos(alpha)"],["\\Phi_E = \\vec{E} \\cdot \\vec{A} = E_\\perp \\cdot A \\cdot \\cos(\\alpha)"]),Xt=H(["Phi_E = 4 pi cdot k cdot q = \frac{q}{epsilon_0}"],["\\Phi_E = 4 \\pi \\cdot k \\cdot q = \\frac{q}{\\epsilon_0}"]),Jt=H(["U_e"],["U_e"]),er=H(["V = \frac{E_{elettrica}}{q}"],["V = \\frac{E_{elettrica}}{q}"]),tr=H(["V"],["V"]),rr=H(["I = \frac{Delta q}{Delta t}"],["I = \\frac{\\Delta q}{\\Delta t}"]),nr=H(["A"],["A"]),ar=H(["P = \frac{Delta U}{Delta t} = I cdot Delta V = I^2 cdot R = \frac{(Delta V)^2}{R}"],["P = \\frac{\\Delta U}{\\Delta t} = I \\cdot \\Delta V = I^2 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C_n"]),wr=H(["mu_0 = 4 pi cdot 10^{-7} \frac{H}{m}"],["\\mu_0 = 4 \\pi \\cdot 10^{-7} \\frac{H}{m}"]),jr=H(["\frac{N}{A^2}"],["\\frac{N}{A^2}"]),Or=H(["B"],["B"]),yr=H(["Phi_B = \vec{B} cdot \vec{L} = B_parallel cdot L cdot sin(alpha)"],["\\Phi_B = \\vec{B} \\cdot \\vec{L} = B_\\parallel \\cdot L \\cdot \\sin(\\alpha)"]),kr=H(["Wb = T cdot m^2"],["Wb = T \\cdot m^2"]),zr=H(["\vec{F}_{magnetica} = q cdot (\vec{v} \times \vec{B})"],["\\vec{F}_{magnetica} = q \\cdot (\\vec{v} \\times \\vec{B})"]),Pr=H(["\vec{B}"],["\\vec{B}"]),Cr=H(["\vec{v}"],["\\vec{v}"]),xr=H(["\vec{F}_{magnetica} = I cdot (\vec{L} \times \vec{B})"],["\\vec{F}_{magnetica} = I \\cdot (\\vec{L} \\times \\vec{B})"]),Sr=H(["I"],["I"]),Er=H(["\vec{L}"],["\\vec{L}"]),Ar=H(["left | \vec{B} \right | = mu_0 cdot I cdot \frac{A_{vvolgimenti}}{L_{unghezzafilo}}"],["\\left | \\vec{B} \\right | = \\mu_0 \\cdot I \\cdot \\frac{A_{vvolgimenti}}{L_{unghezzafilo}}"]),Mr=H(["left | \vec{B} \right | = \frac{mu cdot I}{2 pi r}"],["\\left | \\vec{B} \\right | = \\frac{\\mu \\cdot I}{2 \\pi r}"]),Lr=H(["Delta V_{indotta} = v cdot B cdot L"],["\\Delta V_{indotta} = v \\cdot B \\cdot L"]),Tr=H(["Phi_B = \vec{B} cdot \vec{A} = B cdot A cdot cos(alpha)"],["\\Phi_B = \\vec{B} \\cdot \\vec{A} = B \\cdot A \\cdot \\cos(\\alpha)"]),Dr=H(["Delta V_{indotta} = - \frac{Delta Phi_B}{Delta t}"],["\\Delta V_{indotta} = - \\frac{\\Delta \\Phi_B}{\\Delta t}"]),Ir=H(["Delta V_{indotta} = - N \frac{Delta Phi_B}{Delta t}"],["\\Delta V_{indotta} = - N \\frac{\\Delta \\Phi_B}{\\Delta t}"]),Br=H(["N"],["N"]),qr=H(["E = c cdot B"],["E = c \\cdot B"]),Fr=H(["c"],["c"]),Nr=H(["c = \frac{1}{sqrt{epsilon_0 cdot mu_0}} = 3.00 cdot 10^8 \frac{m}{s}"],["c = \\frac{1}{\\sqrt{\\epsilon_0 \\cdot \\mu_0}} = 3.00 \\cdot 10^8 \\frac{m}{s}"]),Rr=H(["A(t) = A_{max} cdot sin left ( \frac{2 pi}{lambda} - omega t + phi \right )"],["A(t) = A_{max} \\cdot \\sin \\left ( \\frac{2 \\pi}{\\lambda} - \\omega t + \\phi \\right )"]),Hr=H(["A_{max}"],["A_{max}"]),Vr=H(["\frac{2 pi}{lambda} = left | \vec{k} \right |"],["\\frac{2 \\pi}{\\lambda} = \\left | \\vec{k} \\right |"]),Ur=H(["omega"],["\\omega"]),Wr=H(["Delta V_{indotta} = - N cdot \frac{Delta Phi_B}{Delta t}"],["\\Delta V_{indotta} = - N \\cdot \\frac{\\Delta \\Phi_B}{\\Delta t}"]),$r=String.raw,Gr=Object(le.h)("h1",null,"Fisica"),Zr=Object(le.h)("p",null,"Usa le regole base della trigonometria:"),Kr=Object(le.h)("p",null,"Scomponi in componenti, poi sommali:"),Yr=Object(le.h)("p",null,"Produce il vettore risultante dall'applicazione della regola del parallelogramma."),Qr=Object(le.h)("p",null,"Alla fine è sempre una somma:"),Xr=Object(le.h)("p",null,"Produce il vettore che parte da ",Object(le.h)(Be,null,"w")," e arriva a ",Object(le.h)(Be,null,"v"),"."),Jr=Object(le.h)("p",null,"Si chiama scalare perchè il risultato è uno scalare, non un vettore."),en=Object(le.h)("p",null,"Si chiama vettoriale perchè il risultato è un altro vettore."),tn=Object(le.h)("li",null,Object(le.h)("a",{href:"https://it.wikipedia.org/wiki/Regola_della_mano_destra"},"Regola della mano destra")),rn=Object(le.h)("p",null,"Non è commutativo!"),nn=Object(le.h)("p",null,"Se un corpo puntiforme ha forza risultante nulla, allora la sua velocità non cambia."),an=Object(le.h)("p",null,"La forza risultante di un corpo è direttamente proporzionale alla sua accelerazione, e la costante di proporzionalità è la ",Object(le.h)("i",null,"massa"),"."),on=Object(le.h)("p",null,"Due corpi esercitano forze uguali e opposte uno sull'altro."),ln=Object(le.h)("p",null,"Due corpi puntiformi si attirano uno verso l'altro con forza:"),cn=Object(le.h)("p",null,Object(le.h)(Be,null,"G")," è la ",Object(le.h)("i",null,"costante di gravitazione universale")," e vale:"),sn=Object(le.h)("p",null,"Se nel sistema di riferimento consideriamo la Terra ferma, allora un corpo è attratto verso la Terra con forza ",Object(le.h)("i",null,"peso")," uguale a:"),un=Object(le.h)("p",null,Object(le.h)(Be,null,"g")," è la ",Object(le.h)("i",null,"costante di gravità")," della Terra, e vale:"),pn=Object(le.h)("p",null,"Per pianeti diversi dalla Terra vale la stessa regola:"),hn=Object(le.h)("p",null,"L'unica differenza è che cambia la ",Object(le.h)("i",null,"costante di gravità"),":"),dn=Object(le.h)(Oe,{title:"Normale"},Object(le.h)("p",null,"Si oppone alle forze applicate alla superficie di contatto."),Object(le.h)("p",null,"Un libro appoggiato su un tavolo ha la ",Object(le.h)("b",null,"forza di gravità")," che lo attira verso il terreno e la ",Object(le.h)("b",null,"forza normale")," che lo trattiene dal cadere.")),bn=Object(le.h)("p",null,"Impedisce a un corpo di muoversi se non viene spinto da una forza che supera una certa soglia:"),fn=Object(le.h)("p",null,"Rallenta i corpi che si stanno muovendo finchè essi non si fermano:"),mn=Object(le.h)(Oe,{title:"Tensione"},Object(le.h)("p",null,"E' forza trasmessa tra due estremi di una fune."),Object(le.h)("p",null,"Può essere redirezionata per mezzo di carrucole.")),gn=Object(le.h)("p",null,"Una molla cerca sempre di tornare alla sua posizione indeformata con forza:"),_n=Object(le.h)("p",null,"(E' negativa perchè la forza è opposta a quella applicata per deformarla.)"),vn=Object(le.h)("p",null,"È un vettore che indica la posizione di un corpo rispetto a un'origine."),wn=Object(le.h)("p",null,"È un vettore che misura la variazione di posizione nel tempo."),jn=Object(le.h)("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",Object(le.h)("i",null,"velocità istantanea"),":"),On=Object(le.h)("p",null,"È un vettore che misura la variazione di velocità nel tempo."),yn=Object(le.h)("p",null,"Se si considera un intervallo di tempo infinitesimale si dice ",Object(le.h)("i",null,"accelerazione istantanea"),":"),kn=Object(le.h)("span",null,"Quantità di moto ",Object(le.h)("small",null,"(momento lineare)")),zn=Object(le.h)("p",null,"La quantità di moto è una proprietà vettoriale dei corpi:"),Pn=Object(le.h)("p",null,"Se la forza risultante è nulla, la quantità di moto non cambia."),Cn=Object(le.h)("p",null,"La ",Object(le.h)("i",null,"legge oraria")," è:"),xn=Object(le.h)("p",null,"È costante:"),Sn=Object(le.h)("p",null,"La velocità non varia:"),En=Object(le.h)(Oe,{title:"Forze"},Object(le.h)("p",null,"Si applica la prima legge di Newton:"),Object(le.h)("p",null,Object(le.h)(Be,null,"f(t) = 0"))),An=Object(le.h)("p",null,"La ",Object(le.h)("i",null,"legge oraria")," è:"),Mn=Object(le.h)("p",null,"È una retta:"),Ln=Object(le.h)("p",null,"È costante:"),Tn=Object(le.h)(Oe,{title:"Forze"},Object(le.h)("p",null,"Si applica la prima legge di Newton:"),Object(le.h)("p",null,Object(le.h)(Be,null,"f(t) = m a"))),Dn=Object(le.h)(Oe,{title:"Ampiezza"},Object(le.h)("p",null,"E' la distanza dal centro massima che raggiunge il corpo."),Object(le.h)("p",null,"(L'ampiezza di una sinusoide.)")),In=Object(le.h)("p",null,"Indica quanto in fretta cambia la posizione del corpo."),Bn=Object(le.h)("p",null,"Dipende dal periodo:"),qn=Object(le.h)("p",null,"E' una sinusoide:"),Fn=Object(le.h)(Oe,{title:"Forze"},Object(le.h)("p",null,"Si applica la prima legge di Newton:"),Object(le.h)("p",null,Object(le.h)(Be,null,"f(t) = m a"))),Nn=Object(le.h)(Oe,{title:"Moto parabolico"},Object(le.h)("p",null,"Il moto parabolico è dato sommando un moto rettilineo uniforme sull'asse orizzontale e un moto rettilineo uniformemente accelerato sull'asse verticale.")),Rn=Object(le.h)("h3",null,"Velocità angolare"),Hn=Object(le.h)("p",null,"Quanto cambia la fase nel tempo."),Vn=Object(le.h)("p",null,"E' l'angolo percorso dal corpo rispetto alla posizione iniziale."),Un=Object(le.h)("p",null,"Si applicano le formule per la circonferenza:"),Wn=Object(le.h)("p",null,"Il corpo ha sempre un accelerazione verso il centro che gli impedisce di abbandonare il moto:"),$n=Object(le.h)("p",null,"È verso il centro e si calcola con:"),Gn=Object(le.h)("p",null,"E' compiuto da una forza che sposta un corpo."),Zn=Object(le.h)("p",null,"(Se la forza non è parallela allo spostamento, il prodotto scalare ci fa considerare solo la componente parallela.)"),Kn=Object(le.h)("p",null,"Un corpo ha energia cinetica in ogni momento uguale a:"),Yn=Object(le.h)("p",null,"Se una forza effettua lavoro su un corpo, cambia la sua energia cinetica pari al lavoro effettuato:"),Qn=Object(le.h)("p",null,"Un corpo ha energia potenziale in ogni momento pari a:"),Xn=Object(le.h)("p",null,"(Con ",Object(le.h)(Be,null,"h")," uguale a un altezza scelta come punto di riferimento.)"),Jn=Object(le.h)("p",null,"Una molla ha sempre energia potenziale elastica pari a:"),ea=Object(le.h)("p",null,"Sono conservative le forze per le quali il lavoro compiuto non dipende dal percorso seguito per andare dalla partenza all'arrivo."),ta=Object(le.h)("p",null,"Ad esempio, è conservativa la ",Object(le.h)("i",null,"forza di gravità"),", ma ",Object(le.h)("b",null,"non")," è conservativa la forza di attrito."),ra=Object(le.h)("p",null,"Se in un sistema ci sono solo forze conservative, allora l'energia meccanica totale si conserva:"),na=Object(le.h)("p",null,"È la velocità di trasferimento di energia:"),aa=Object(le.h)("p",null,"È una proprietà dei corpi che può essere ",Object(le.h)(Ne,null,"positiva")," o ",Object(le.h)(Ve,null,"negativa"),"."),oa=Object(le.h)("p",null,"Si conserva: in un sistema chiuso la carica totale è costante."),ia=Object(le.h)("p",null,"Cariche ",Object(le.h)(Ne,null,"opp"),Object(le.h)(Ve,null,"oste")," si attraggono; cariche ",Object(le.h)(Ne,null,"uguali")," si respingono."),la=Object(le.h)(Oe,{title:"Conduttori e isolanti"},Object(le.h)("p",null,"Più ",Object(le.h)("a",{href:"https://it.wikipedia.org/wiki/Ione"},"ioni")," ha un corpo, meglio la carica si muove attraverso di esso."),Object(le.h)("p",null,"I corpi in cui la carica si muove bene sono ",Object(le.h)("i",null,"conduttori"),", mentre quelli in cui si muove difficilmente sono ",Object(le.h)("i",null,"isolanti"),"."),Object(le.h)("p",null,Object(le.h)("i",null,"Il corpo umano è un buon conduttore."))),ca=Object(le.h)(ze,{title:"Polarizzazione"},Object(le.h)(Oe,{title:"Polarizzazione"},Object(le.h)("p",null,"E' possibile polarizzare un corpo per accumulare la carica di un segno in una certa zona."))),sa=Object(le.h)(ze,null,Object(le.h)(Oe,{title:"Messa a terra"},Object(le.h)("p",null,"Se un corpo conduttore è in contatto con la Terra, le cariche su di esso saranno ",Object(le.h)("i",null,"equilibrate")," e il corpo diventerà elettricamente neutro (con stesso numero di ",Object(le.h)(Ne,null,"cariche positive")," e ",Object(le.h)(Ve,null,"negative")," all'interno)."))),ua=Object(le.h)(ze,null,Object(le.h)(Oe,{title:"Polarizzazione per strofinio"},Object(le.h)("p",null,"Strofinando tra loro due corpi isolanti, essi si ",Object(le.h)("i",null,"polarizzeranno per strofinio"),".")),Object(le.h)(Oe,{title:"Polarizzazione per contatto"},Object(le.h)("p",null,"Toccando un conduttore con un corpo carico, il conduttore potrà ",Object(le.h)("i",null,"polarizzarsi per contatto"),".")),Object(le.h)(Oe,{title:"Polarizzazione per induzione"},Object(le.h)("p",null,'Se un corpo conduttore ha cariche "esterne" di un ',Object(le.h)(Ne,null,"certo segno")," vicino, esso avrà tutte le cariche del ",Object(le.h)(Ve,null,"segno opposto")," in equilibrio vicino alle cariche esterne, e tutte le cariche dello ",Object(le.h)(Ne,null,"stesso segno")," più lontano possibile da esse."),Object(le.h)("p",null,"Mettendo a terra il conduttore, nuove cariche del ",Object(le.h)(Ve,null,"segno opposto")," saranno attratte all'interno del corpo per equilibrare le cariche che si sono allontanate."),Object(le.h)("p",null,"Staccando il conduttore da terra e rimuovendo le cariche esterne, esso si ritroverà ",Object(le.h)(Ve,null,"caricato del segno opposto")," rispetto alle cariche esterne."))),pa=Object(le.h)("p",null,"Due corpi carichi si attraggono tra loro con forza:"),ha=Object(le.h)("i",null,"costante di Coulomb"),da=Object(le.h)("i",null,"permeabilità del vuoto"),ba=Object(le.h)("p",null,"Misura che forza viene applicata in ogni punto su una carica unitaria:"),fa=Object(le.h)("p",null,'È la differenza tra "quanto" campo elettrico ',Object(le.h)(Ne,null,"entra")," e quanto campo elettrico ",Object(le.h)(Ve,null,"esce")," da una certa area."),ma=Object(le.h)("p",null,"In qualsiasi superficie chiusa, il flusso elettrico è uguale alla componente perpendicolare del campo elettrico moltiplicato per l'area."),ga=Object(le.h)("p",null,"Se il campo elettrico è uniforme, se ne può calcolare facilmente il valore:"),_a=Object(le.h)("p",null,Object(le.h)(xe,null,"Circa. E' una specie di integrale...")),va=Object(le.h)("p",null,"Il flusso elettrico è direttamente proporzionale alla carica presente all'interno della superficie."),wa=Object(le.h)("p",null,"Ovvero, i campi elettrostatici sono generati dalle cariche elettriche."),ja=Object(le.h)("i",null,"energia potenziale elettrica"),Oa=Object(le.h)("span",null,"Potenziale elettrico ",Object(le.h)("small",null,"(tensione)")),ya=Object(le.h)("p",null,"È il valore dell'energia potenziale elettrica per una carica unitaria."),ka=Object(le.h)("p",null,"In una batteria è detto ",Object(le.h)("i",null,"forza elettromotrice"),", e corrisponde al lavoro compiuto da una batteria ideale per spostare una carica unitaria tra i due poli."),za=Object(le.h)("span",null,"Corrente elettrica ",Object(le.h)("small",null,"(intensità)")),Pa=Object(le.h)("p",null,"Quanta carica passa attraverso un'area (perpendicolare al flusso) nel tempo."),Ca=Object(le.h)("p",null,"Fintanto che c'è differenza di potenziale, ci sarà anche intensità non nulla."),xa=Object(le.h)(Oe,{title:Object(le.h)("span",null,"Corrente continua ",Object(le.h)("small",null,"(",Object(le.h)("abbr",{title:"Direct Current"},"DC"),")"))},Object(le.h)("p",null,"Quando in un circuito la direzione della corrente è costante.")),Sa=Object(le.h)(Oe,{title:Object(le.h)("span",null,"Corrente alternata ",Object(le.h)("small",null,"(",Object(le.h)("abbr",{title:"Alternate Current"},"AC"),")"))},Object(le.h)("p",null,"Quando in un circuito la direzione della corrente si alterna periodicamente.")),Ea=Object(le.h)("p",null,"Possiamo calcolare la potenza di un circuito:"),Aa=Object(le.h)("p",null,"Riduce l'intensità di corrente, e converte parte del potenziale in calore."),Ma=Object(le.h)("p",null,"Il potenziale utilizzato è pari a:"),La=Object(le.h)("i",null,"resistenza"),Ta=Object(le.h)("p",null,"La resistenza di un conduttore vale:"),Da=Object(le.h)("i",null,"resistività"),Ia=Object(le.h)("p",null,"Immagazzina potenziale elettrico, permettendo di riutilizzarla in seguito."),Ba=Object(le.h)("p",null,"Per farlo, cattura cariche ",Object(le.h)(Ne,null,"positive")," e ",Object(le.h)(Ve,null,"negative")," sulle sue due armature; perchè questo avvenga, deve essere compiuto lavoro."),qa=Object(le.h)("p",null,"Ha una ",Object(le.h)("b",null,"capacità")," caratteristica, che in un condensatore a facce piane parallele è:"),Fa=Object(le.h)("p",null,"Condensatori di capacità maggiore immagazzinano più potenziale con meno carica."),Na=Object(le.h)("p",null,"La capacità aumenta se viene messo qualcosa tra le armature:"),Ra=Object(le.h)("i",null,"costante dielettrica relativa"),Ha=Object(le.h)("p",null,"Se il campo elettrico creatosi tra le due armature supera la ",Object(le.h)("i",null,"rigidità dielettrica")," del condensatore, la carica immagazzinata viene persa e ha luogo un ",Object(le.h)("i",null,"breakdown"),"."),Va=Object(le.h)(Oe,{title:"Amperometro"},Object(le.h)("p",null,"Misura la corrente elettrica se messo in serie."),Object(le.h)("p",null,"(Funzionamento: ha una resistenza interna bassisima in modo da non influire significativamente sulla corrente.)")),Ua=Object(le.h)(Oe,{title:"Voltmetro"},Object(le.h)("p",null,"Misura la differenza di potenziale se messo in parallelo."),Object(le.h)("p",null,"(Funzionamento: ha una resistenza altissima in modo da non influire significativamente sulla tensione.)")),Wa=Object(le.h)(ze,{title:"Principi di Kirchhoff"},Object(le.h)(Oe,{title:"Legge dei nodi"},Object(le.h)("p",null,"Per nodo si intende un qualsiasi punto del circuito."),Object(le.h)("p",null,"Da un nodo entra ed esce la stessa corrente.")),Object(le.h)(Oe,{title:"Legge delle maglie"},Object(le.h)("p",null,"Per maglia si intende un qualsiasi percorso chiuso all'interno del circuito."),Object(le.h)("p",null,"In una maglia chiusa, la somma delle differenze di potenziale è 0."))),$a=Object(le.h)(ze,{title:"Serie e Parallelo"},Object(le.h)(Oe,{title:"Circuito in serie"},Object(le.h)("p",null,"Più parti di circuito sono ",Object(le.h)("i",null,"in serie")," se sono consecutive e senza biforcazioni."),Object(le.h)("p",null,"Parti di circuito in serie sono attraversate dalla stessa corrente.")),Object(le.h)(Oe,{title:"Circuito in parallelo"},Object(le.h)("p",null,"Più parti di circuito sono ",Object(le.h)("i",null,"in parallelo")," tra loro se hanno lo stesso punto di partenza e lo stesso punto di arrivo."),Object(le.h)("p",null,"Parti di circuito in parallelo hanno la stessa differenza di potenziale."))),Ga=Object(le.h)("p",null,"Nei circuiti in serie, tutte le resistenze possono essere sostituite con una equivalente dal valore della somma di tutte le quelle sostituite:"),Za=Object(le.h)("p",null,"Nei circuiti in parallelo, tutte le resistenze possono essere sostituite con una equivalente dal valore di:"),Ka=Object(le.h)("p",null,"Nei circuiti in serie, tutte i condensatori possono essere sostituiti con uno equivalente dal valore di:"),Ya=Object(le.h)("p",null,"Nei circuiti in parallelo, tutte i condensatori possono essere sostituite con uno equivalente dal valore della somma della capacità di tutti quelli sostituiti:"),Qa=Object(le.h)("p",null,"E' una costante fisica fondamentale che rappresenta quanto un materiale si magnetizza facilmente."),Xa=Object(le.h)("p",null,"Come un campo elettrico, ma per i magneti."),Ja=Object(le.h)(Be,null,"T"),eo=Object(le.h)("p",null,'È "quanto" campo magnetico ',Object(le.h)("b",null,"attraversa")," un percorso chiuso."),to=Object(le.h)("p",null,"Per qualsiasi percorso chiuso, il flusso magnetico è uguale alla componente parallela del campo moltiplicata per la lunghezza del percorso:"),ro=Object(le.h)("p",null,Object(le.h)(xe,null,"Circa. E' una specie di integrale...")),no=Object(le.h)(Oe,{title:"Legge di Gauss per i campi magnetici"},Object(le.h)("p",null,"Il flusso magnetico attraverso qualsiasi superficie chiusa è sempre nullo."),Object(le.h)("p",null,"Ovvero, non esistono monopoli magnetici.")),ao=Object(le.h)(Oe,{title:"Legge di Ampère"},Object(le.h)("p",null,"L'intensità di corrente che attraversa un percorso chiuso è direttamente proporzionale al flusso magnetico dello stesso percorso."),Object(le.h)("p",null,Object(le.h)(Be,null,"\\Phi_B = \\mu_0 \\cdot I"))),oo=Object(le.h)("h3",null,"Forza magnetica su carica puntiforme ",Object(le.h)("small",null,"(Forza di Lorentz)")),io=Object(le.h)("p",null,"I campi magnetici applicano una forza sulle cariche vicine:"),lo=Object(le.h)("p",null,"Si ha una forza massima se la velocità è perpendicolare al campo magnetico."),co=Object(le.h)("p",null,"In un campo magnetico uniforme, una velocità perpendicolare al campo porta alla creazione di un moto circolare uniforme."),so=Object(le.h)("p",null,"I campi magnetici influenzano ovviamente anche le cariche presenti in un conduttore:"),uo=Object(le.h)("a",{href:"https://it.openprof.com/wb/forza_di_lorentz_su_un_filo_percorso_da_corrente?ch=360"},"[1]"),po=Object(le.h)(xe,null,"ha come modulo la lunghezza del conduttore."),ho=Object(le.h)(Oe,{title:"Campo magnetico in una spira"},Object(le.h)("p",null,"Una spira in cui passa corrente produce un campo magnetico perpendicolare al piano creato dalla spira.")),bo=Object(le.h)("p",null,"Un solenoide sono tante spire avvolte in modo da formare una specie di cilindro."),fo=Object(le.h)("p",null,"All'interno del solenoide si crea un campo (quasi) uniforme:"),mo=Object(le.h)("p",null,Object(le.h)("i",null,"Caso particolare della ",Object(le.h)("a",{href:"https://it.wikipedia.org/wiki/Legge_di_Amp%C3%A8re"},"Legge di Ampère"),".")),go=Object(le.h)("p",null,"Il modulo del campo magnetico ",Object(le.h)(Be,null,"B")," prodotto da un filo in cui passa una corrente continua ",Object(le.h)(Be,null,"I")," alla distanza ",Object(le.h)(Be,null,"s")," è:"),_o=Object(le.h)("p",null,"Il campo magnetico così creato gira attorno al filo in senso antiorario."),vo=Object(le.h)("p",null,"Due fili attraversati dalla ",Object(le.h)(Ne,null,"stessa corrente")," si attraggono, due fili attraversati da ",Object(le.h)(Ne,null,"corr"),Object(le.h)(Ve,null,"enti")," ",Object(le.h)(Ne,null,"opp"),Object(le.h)(Ve,null,"oste")," si respingono."),wo=Object(le.h)("p",null,"Un conduttore perpendicolare ad un campo magnetico può ottenere una differenza di potenziale se messo in movimento in un direzione perpendicolare alla direzione del conduttore e del campo."),jo=Object(le.h)("p",null,"La differenza di potenziale si crea a causa della forza magnetica, che fa spostare tutti gli elettroni verso un capo del conduttore."),Oo=Object(le.h)("p",null,"Essa vale:"),yo=Object(le.h)("p",null,"Dove ",Object(le.h)(Be,null,"v")," è la velocità del conduttore, ",Object(le.h)(Be,null,"B")," è l'intensità del campo magnetico ed ",Object(le.h)(Be,null,"L")," è la lunghezza del conduttore."),ko=Object(le.h)("i",null,"Legge di Faraday-Neumann-Lenz"),zo=Object(le.h)("p",null,"Dice che la forza elettromotrice indotta in un percorso dipende dalla variazione nel tempo del flusso magnetico nello stesso percorso."),Po=Object(le.h)("p",null,"In un solenoide, la forza elettromotrice indotta è uguale a:"),Co=Object(le.h)(Oe,{title:"Legge di Ampère-Maxwell"},Object(le.h)("p",null,"Correnti o campi elettrici variabili creano un campo magnetico.")),xo=Object(le.h)("p",null,"Nel vuoto, il campo elettrico ",Object(le.h)(Be,null,"E")," e il campo magnetico ",Object(le.h)(Be,null,"B")," sono perpendicolari tra loro e la direzione di propagazione, e sono entrambe funzioni del tempo."),So=Object(le.h)("p",null,"Si dice quindi che sono ",Object(le.h)("i",null,"onde elettromagnetiche"),"."),Eo=Object(le.h)("p",null,"Esse sono legate dalla 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[Definizione di Spazio Vettoriale](https://www.youtube.com/watch?v=7eHEzf4403c) (1:17:29)\n2. [Sottospazi vettoriali I](https://www.youtube.com/watch?v=FPqrULk5HBU) (37:15)\n3. [Sottospazi vettoriali II](https://www.youtube.com/watch?v=ubDWUw9hk0k) (43:26)\n4. [Sottospazi vettoriali III](https://www.youtube.com/watch?v=381n4NPb6Oc) (40:29)\n5. [Lineare dipendenza e indipendenza](https://www.youtube.com/watch?v=9YVQ5olYrh0) (56:12)\n6. [Basi di uno spazio vettoriale I](https://www.youtube.com/watch?v=mEF_lcTzEoE) (25:52)\n7. [Basi di uno spazio vettoriale II](https://www.youtube.com/watch?v=k1r9JfXY53k) (48:24)\n8. [Teorema di Grassmann](https://www.youtube.com/watch?v=3sqB-MMyCWM) (32:36)\n9. [Basi e Matrici](https://www.youtube.com/watch?v=Rd6AB_jE7YI) (27:06)\n10. [Definizione di Applicazioni Lineari](https://www.youtube.com/watch?v=rmd7ffZeVYk) (16:23)\n11. [Proprietà delle Applicazioni Lineari](https://www.youtube.com/watch?v=MH7ztQGkqmw) (31:58)\n12. [Definizione di determinante](https://www.youtube.com/watch?v=EwubcLwBdzk) (36:43)\n13. [Proprietà e metodo di triangolazione](https://www.youtube.com/watch?v=SFusGarV6HI) (22:36)\n14. [Teorema di Laplace](https://www.youtube.com/watch?v=BqZDWnKl2nQ) (29:03)\n15. [4 applicazioni del Teorema di Laplace](https://www.youtube.com/watch?v=2tr3y725GY0) (47:53)\n16. [Spazi vettoriali euclidei reali - Parte 1](https://www.youtube.com/watch?v=W7Z1hm-jwMM) (28:46)\n17. [Spazi vettoriali euclidei reali - Parte 2](https://www.youtube.com/watch?v=zjmKE9TMGm8) (27:17)\n18. [Autovalori e autovettori](https://www.youtube.com/watch?v=XlrlcnvcTtQ) (33:00)\n19. [Polinomio caratteristico](https://www.youtube.com/watch?v=61icRbgWTdI) (31:31)\n20. [Teorema diagonalizzabilità](https://www.youtube.com/watch?v=wm5V6en9OFo) (18:49)\n21. [Spazi affini](https://player.vimeo.com/video/291457587) (20:46)\n22. [Sottospazi affini](https://player.vimeo.com/video/291458991) (21:32)\n23. [Parallelismo e Riferimenti Affini](https://player.vimeo.com/video/291510181) (16:57)\n24. [Rappresentazione di Sottospazi Affini](https://player.vimeo.com/video/291510296) (31:17)\n25. [Spazi Euclidei](https://player.vimeo.com/video/291510612) (35:57)\n26. [Teoria dei ranghi](https://player.vimeo.com/video/291510964) (9:44)\n27. [Teoria dei ranghi 2](https://player.vimeo.com/video/291510862) (14:44)\n\nNell'anno accademico 2018/2019 non sono stati trattati gli argomenti nei video 21, 22 e 23.\n "],["\nTutte le videolezioni sono state pubblicate sotto licenza [CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/) dalla Prof.ssa Beatrice Ruini nell'anno accademico 2018/2019 sul [portale Dolly 2018](https://dolly.fim.unimore.it/2018/course/view.php?id=14#section-0) (Moodle).\n\nPer comodità, ho estratto l'url sorgente del video dall'embed presente nella rispettiva pagina.\n\n1. [Definizione di Spazio Vettoriale](https://www.youtube.com/watch?v=7eHEzf4403c) (1:17:29)\n2. [Sottospazi vettoriali I](https://www.youtube.com/watch?v=FPqrULk5HBU) (37:15)\n3. [Sottospazi vettoriali II](https://www.youtube.com/watch?v=ubDWUw9hk0k) (43:26)\n4. [Sottospazi vettoriali III](https://www.youtube.com/watch?v=381n4NPb6Oc) (40:29)\n5. [Lineare dipendenza e indipendenza](https://www.youtube.com/watch?v=9YVQ5olYrh0) (56:12)\n6. [Basi di uno spazio vettoriale I](https://www.youtube.com/watch?v=mEF_lcTzEoE) (25:52)\n7. [Basi di uno spazio vettoriale II](https://www.youtube.com/watch?v=k1r9JfXY53k) (48:24)\n8. [Teorema di Grassmann](https://www.youtube.com/watch?v=3sqB-MMyCWM) (32:36)\n9. [Basi e Matrici](https://www.youtube.com/watch?v=Rd6AB_jE7YI) (27:06)\n10. [Definizione di Applicazioni Lineari](https://www.youtube.com/watch?v=rmd7ffZeVYk) (16:23)\n11. [Proprietà delle Applicazioni Lineari](https://www.youtube.com/watch?v=MH7ztQGkqmw) (31:58)\n12. [Definizione di determinante](https://www.youtube.com/watch?v=EwubcLwBdzk) (36:43)\n13. [Proprietà e metodo di triangolazione](https://www.youtube.com/watch?v=SFusGarV6HI) (22:36)\n14. [Teorema di Laplace](https://www.youtube.com/watch?v=BqZDWnKl2nQ) (29:03)\n15. [4 applicazioni del Teorema di Laplace](https://www.youtube.com/watch?v=2tr3y725GY0) (47:53)\n16. [Spazi vettoriali euclidei reali - Parte 1](https://www.youtube.com/watch?v=W7Z1hm-jwMM) (28:46)\n17. [Spazi vettoriali euclidei reali - Parte 2](https://www.youtube.com/watch?v=zjmKE9TMGm8) (27:17)\n18. [Autovalori e autovettori](https://www.youtube.com/watch?v=XlrlcnvcTtQ) (33:00)\n19. [Polinomio caratteristico](https://www.youtube.com/watch?v=61icRbgWTdI) (31:31)\n20. [Teorema diagonalizzabilità](https://www.youtube.com/watch?v=wm5V6en9OFo) (18:49)\n21. [Spazi affini](https://player.vimeo.com/video/291457587) (20:46)\n22. [Sottospazi affini](https://player.vimeo.com/video/291458991) (21:32)\n23. [Parallelismo e Riferimenti Affini](https://player.vimeo.com/video/291510181) (16:57)\n24. [Rappresentazione di Sottospazi Affini](https://player.vimeo.com/video/291510296) (31:17)\n25. [Spazi Euclidei](https://player.vimeo.com/video/291510612) (35:57)\n26. [Teoria dei ranghi](https://player.vimeo.com/video/291510964) (9:44)\n27. [Teoria dei ranghi 2](https://player.vimeo.com/video/291510862) (14:44)\n\nNell'anno accademico 2018/2019 non sono stati trattati gli argomenti nei video 21, 22 e 23.\n "]),No=String.raw,Ro=Object(le.h)("h1",null,"Videolezioni di Geometria"),Ho=function(e){function t(){return K(this,t),Y(this,e.apply(this,arguments))}return Q(t,e),t.prototype.render=function(){return Object(le.h)("div",{style:Lo.a.vldigeometria},Ro,Object(le.h)(Oe,null,Object(le.h)(qo,null,No(Fo))))},t}(le.Component),Vo=r("5m9J"),Uo=r.n(Vo),Wo=Object(le.h)("h1",null,"Come installare MinGW"),$o=Object(le.h)(Oe,null,Object(le.h)("p",null," Scaricate ",Object(le.h)("a",{href:"https://osdn.net/projects/mingw/downloads/68260/mingw-get-setup.exe/"},"l'installer ufficiale"),", ed eseguitelo."),Object(le.h)("img",{src:"https://i.imgur.com/mDZSqjV.png",alt:""}),Object(le.h)("p",null," Dovrebbe comparire questa schermata. 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