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80px)}.min-h-screen{min-height:100vh}.min-h-svh{min-height:100svh}.w-0{width:calc(var(--spacing)*0)}.w-0\.5{width:calc(var(--spacing)*.5)}.w-1{width:calc(var(--spacing)*1)}.w-1\.5{width:calc(var(--spacing)*1.5)}.w-1\/2{width:50%}.w-1\/3{width:33.3333%}.w-1\/4{width:25%}.w-2{width:calc(var(--spacing)*2)}.w-2\.5{width:calc(var(--spacing)*2.5)}.w-2\/3{width:66.6667%}.w-2\/5{width:40%}.w-3{width:calc(var(--spacing)*3)}.w-3\.5{width:calc(var(--spacing)*3.5)}.w-3\/4{width:75%}.w-4{width:calc(var(--spacing)*4)}.w-4\.5{width:calc(var(--spacing)*4.5)}.w-4\/5{width:80%}.w-5{width:calc(var(--spacing)*5)}.w-6{width:calc(var(--spacing)*6)}.w-7{width:calc(var(--spacing)*7)}.w-8{width:calc(var(--spacing)*8)}.w-9{width:calc(var(--spacing)*9)}.w-10{width:calc(var(--spacing)*10)}.w-11{width:calc(var(--spacing)*11)}.w-11\/12{width:91.6667%}.w-12{width:calc(var(--spacing)*12)}.w-14{width:calc(var(--spacing)*14)}.w-16{width:calc(var(--spacing)*16)}.w-20{width:calc(var(--spacing)*20)}.w-24{width:calc(var(--spacing)*24)}.w-28{width:calc(var(--spacing)*28)}.w-32{width:calc(var(--spacing)*32)}.w-36{width:calc(var(--spacing)*36)}.w-40{width:calc(var(--spacing)*40)}.w-48{width:calc(var(--spacing)*48)}.w-52{width:calc(var(--spacing)*52)}.w-56{width:calc(var(--spacing)*56)}.w-60{width:calc(var(--spacing)*60)}.w-64{width:calc(var(--spacing)*64)}.w-72{width:calc(var(--spacing)*72)}.w-80{width:calc(var(--spacing)*80)}.w-96{width:calc(var(--spacing)*96)}.w-\[--sidebar-width\]{width:--sidebar-width}.w-\[1\.3em\]{width:1.3em}.w-\[2px\]{width:2px}.w-\[3px\]{width:3px}.w-\[4\.5rem\]{width:4.5rem}.w-\[26px\]{width:26px}.w-\[28rem\]{width:28rem}.w-\[30\%\]{width:30%}.w-\[30px\]{width:30px}.w-\[34px\]{width:34px}.w-\[40\%\]{width:40%}.w-\[40px\]{width:40px}.w-\[42\%\]{width:42%}.w-\[55\%\]{width:55%}.w-\[60\%\]{width:60%}.w-\[62\%\]{width:62%}.w-\[70\%\]{width:70%}.w-\[72px\]{width:72px}.w-\[75\%\]{width:75%}.w-\[78\%\]{width:78%}.w-\[80\%\]{width:80%}.w-\[82px\]{width:82px}.w-\[85\%\]{width:85%}.w-\[85vw\]{width:85vw}.w-\[88\%\]{width:88%}.w-\[90\%\]{width:90%}.w-\[92\%\]{width:92%}.w-\[95\%\]{width:95%}.w-\[100px\]{width:100px}.w-\[220px\]{width:220px}.w-\[260px\]{width:260px}.w-\[300px\]{width:300px}.w-\[350px\]{width:350px}.w-\[360px\]{width:360px}.w-\[400px\]{width:400px}.w-\[420px\]{width:420px}.w-\[440px\]{width:440px}.w-\[500px\]{width:500px}.w-\[520px\]{width:520px}.w-\[550px\]{width:550px}.w-\[600px\]{width:600px}.w-\[640px\]{width:640px}.w-\[800px\]{width:800px}.w-\[1000px\]{width:1000px}.w-\[calc\(100\%-4rem\)\]{width:calc(100% 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.ai-shimmer{background-image:linear-gradient(90deg,#0000,#ffffff1a,#0000)}}:root{--brand-peach:#fb92a5;--brand-pink:#ff5d8f;--brand-mint:#6ee7b7;--brand-sky:#d9edff;--glass-bg:#ffffffb3;--glass-border:#fff9;--background:#f7f5f2;--foreground:#1f2a37;--card:#fff;--card-foreground:#1f2a37;--popover:#fff;--popover-foreground:#1f2a37;--primary:var(--brand-peach);--primary-foreground:#fff;--secondary:#f8eee3;--secondary-foreground:#1f2a37;--muted:#f3f3f3;--muted-foreground:#6b7280;--accent:#ff8d7138;--accent-foreground:#1f2a37;--destructive:#ef4444;--border:#0000001f;--input:#0003;--ring:#ff8d7173;--sidebar:#fff;--sidebar-foreground:#0f172a;--sidebar-primary:var(--brand-mint);--sidebar-primary-foreground:#0f172a;--sidebar-accent:#f8fafc;--sidebar-accent-foreground:#0f172a;--sidebar-border:#e2e8f0;--sidebar-ring:#fb92a573;--color-peach:var(--brand-peach);--color-pink:var(--brand-pink);--color-mint:var(--brand-mint);--radius:.625rem;--chart-1:var(--brand-peach);--chart-2:var(--brand-mint);--chart-3:#4f46e5;--chart-4:#f97316;--chart-5:#22c55e}.dark{--glass-bg:#0c10168c;--glass-border:#ffffff1f;--background:#121212;--foreground:#f3f4f6;--card:#1e1e1e;--card-foreground:#f3f4f6;--popover:#111827;--popover-foreground:#f9fafb;--primary:var(--brand-peach);--primary-foreground:#fff;--secondary:#18181b;--secondary-foreground:#e5e7eb;--muted:#18181b;--muted-foreground:#9ca3af;--accent:#ff8d712e;--accent-foreground:#fff;--destructive:#f87171;--border:#ffffff1a;--input:#ffffff26;--ring:#f9731680;--sidebar:#141414b3;--sidebar-foreground:#fafafa;--sidebar-primary:var(--brand-mint);--sidebar-primary-foreground:#111827;--sidebar-accent:#ff8d7138;--sidebar-accent-foreground:#fff;--sidebar-border:#ffffff1f;--sidebar-ring:#f973168c;--chart-1:var(--brand-peach);--chart-2:var(--brand-mint);--chart-3:#38bdf8;--chart-4:#facc15;--chart-5:#22c55e}html{font-family:Inter,ui-sans-serif,system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica,Arial,sans-serif}mark{color:#7c4dff;background:linear-gradient(135deg,#9a6bff26,#ff8fa526);border-radius:.25rem;padding:.1em .3em;font-weight:500}.dark mark{color:#c4b5fd;background:linear-gradient(135deg,#9a6bff40,#ff8fa540)}@keyframes hero-underline-grow{0%{opacity:0;width:0}to{opacity:1;width:100%}}.hero-underline{animation:.8s ease-out .6s both hero-underline-grow}@keyframes preview-entrance{0%{opacity:0;transform:translateY(50px)}to{opacity:1;transform:translateY(0)}}.preview-entrance{animation:1s cubic-bezier(.16,1,.3,1) .5s both preview-entrance}@keyframes gradient-x{0%,to{background-position:0%}50%{background-position:100%}}.animate-gradient-x{animation:3s infinite gradient-x}@keyframes glow-pulse{0%,to{opacity:.3}50%{opacity:.6}}.animate-glow-pulse{animation:3s ease-in-out infinite glow-pulse}@keyframes bounce-in{0%{opacity:0;transform:scale(.3)}50%{transform:scale(1.05)}70%{transform:scale(.95)}to{opacity:1;transform:scale(1)}}.animate-bounce-in{animation:.5s ease-out forwards bounce-in}@keyframes pulse-slow{0%,to{transform:scale(1)}50%{transform:scale(1.05)}}.animate-pulse-slow{animation:2s ease-in-out infinite pulse-slow}@keyframes loading-bar{0%{transform:translate(-100%)}50%{transform:translate(200%)}to{transform:translate(-100%)}}.animate-loading-bar{animation:1.5s ease-in-out infinite loading-bar}@keyframes onboarding-float{0%,to{transform:translateY(0)scale(1)}50%{transform:translateY(-10px)scale(1.03)}}.animate-onboarding-float{animation:onboarding-float var(--float-duration,5.3s)ease-in-out infinite}@keyframes aimnova-gradient-shift{0%{background-position:0%}50%{background-position:100%}to{background-position:0%}}@keyframes aimnova-dot-bounce{0%,70%,to{transform:translateY(0)scale(1)}10%{transform:translateY(-5px)scale(1.16)}}.brand-wordmark{text-shadow:0 1px 1px #7c3aed29;animation:4.8s ease-in-out infinite aimnova-gradient-shift}.brand-dot{text-shadow:0 0 10px #7c3aed59,0 0 18px #06b6d438;animation:2.6s cubic-bezier(.22,1,.36,1) infinite aimnova-dot-bounce;display:inline-block}.group:hover .brand-wordmark{animation-duration:2.2s}.group:hover .brand-dot{animation-duration:1.6s}@media (prefers-reduced-motion:reduce){.brand-wordmark,.brand-dot{animation:none}}.katex-chat .katex{color:inherit}.katex-chat .katex-display{margin:.5em 0;overflow:auto hidden}@keyframes enter{0%{opacity:var(--tw-enter-opacity,1);transform:translate3d(var(--tw-enter-translate-x,0),var(--tw-enter-translate-y,0),0)scale3d(var(--tw-enter-scale,1),var(--tw-enter-scale,1),var(--tw-enter-scale,1))rotate(var(--tw-enter-rotate,0))}}@keyframes exit{to{opacity:var(--tw-exit-opacity,1);transform:translate3d(var(--tw-exit-translate-x,0),var(--tw-exit-translate-y,0),0)scale3d(var(--tw-exit-scale,1),var(--tw-exit-scale,1),var(--tw-exit-scale,1))rotate(var(--tw-exit-rotate,0))}}@property --tw-translate-x{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-y{syntax:"*";inherits:false;initial-value:0}@property --tw-translate-z{syntax:"*";inherits:false;initial-value:0}@property --tw-scale-x{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-y{syntax:"*";inherits:false;initial-value:1}@property --tw-scale-z{syntax:"*";inherits:false;initial-value:1}@property --tw-rotate-x{syntax:"*";inherits:false}@property --tw-rotate-y{syntax:"*";inherits:false}@property --tw-rotate-z{syntax:"*";inherits:false}@property --tw-skew-x{syntax:"*";inherits:false}@property --tw-skew-y{syntax:"*";inherits:false}@property --tw-pan-x{syntax:"*";inherits:false}@property --tw-pan-y{syntax:"*";inherits:false}@property --tw-pinch-zoom{syntax:"*";inherits:false}@property --tw-space-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-divide-y-reverse{syntax:"*";inherits:false;initial-value:0}@property --tw-border-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-gradient-position{syntax:"*";inherits:false}@property --tw-gradient-from{syntax:"";inherits:false;initial-value:#0000}@property --tw-gradient-via{syntax:"";inherits:false;initial-value:#0000}@property --tw-gradient-to{syntax:"";inherits:false;initial-value:#0000}@property --tw-gradient-stops{syntax:"*";inherits:false}@property --tw-gradient-via-stops{syntax:"*";inherits:false}@property --tw-gradient-from-position{syntax:"";inherits:false;initial-value:0%}@property --tw-gradient-via-position{syntax:"";inherits:false;initial-value:50%}@property --tw-gradient-to-position{syntax:"";inherits:false;initial-value:100%}@property --tw-leading{syntax:"*";inherits:false}@property --tw-font-weight{syntax:"*";inherits:false}@property --tw-tracking{syntax:"*";inherits:false}@property --tw-ordinal{syntax:"*";inherits:false}@property --tw-slashed-zero{syntax:"*";inherits:false}@property --tw-numeric-figure{syntax:"*";inherits:false}@property --tw-numeric-spacing{syntax:"*";inherits:false}@property --tw-numeric-fraction{syntax:"*";inherits:false}@property --tw-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-shadow-color{syntax:"*";inherits:false}@property --tw-shadow-alpha{syntax:"";inherits:false;initial-value:100%}@property --tw-inset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-shadow-color{syntax:"*";inherits:false}@property --tw-inset-shadow-alpha{syntax:"";inherits:false;initial-value:100%}@property --tw-ring-color{syntax:"*";inherits:false}@property --tw-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-inset-ring-color{syntax:"*";inherits:false}@property --tw-inset-ring-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-ring-inset{syntax:"*";inherits:false}@property --tw-ring-offset-width{syntax:"";inherits:false;initial-value:0}@property --tw-ring-offset-color{syntax:"*";inherits:false;initial-value:#fff}@property --tw-ring-offset-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-outline-style{syntax:"*";inherits:false;initial-value:solid}@property --tw-blur{syntax:"*";inherits:false}@property --tw-brightness{syntax:"*";inherits:false}@property --tw-contrast{syntax:"*";inherits:false}@property --tw-grayscale{syntax:"*";inherits:false}@property --tw-hue-rotate{syntax:"*";inherits:false}@property --tw-invert{syntax:"*";inherits:false}@property --tw-opacity{syntax:"*";inherits:false}@property --tw-saturate{syntax:"*";inherits:false}@property --tw-sepia{syntax:"*";inherits:false}@property --tw-drop-shadow{syntax:"*";inherits:false}@property --tw-drop-shadow-color{syntax:"*";inherits:false}@property --tw-drop-shadow-alpha{syntax:"";inherits:false;initial-value:100%}@property --tw-drop-shadow-size{syntax:"*";inherits:false}@property --tw-backdrop-blur{syntax:"*";inherits:false}@property --tw-backdrop-brightness{syntax:"*";inherits:false}@property --tw-backdrop-contrast{syntax:"*";inherits:false}@property --tw-backdrop-grayscale{syntax:"*";inherits:false}@property --tw-backdrop-hue-rotate{syntax:"*";inherits:false}@property --tw-backdrop-invert{syntax:"*";inherits:false}@property --tw-backdrop-opacity{syntax:"*";inherits:false}@property --tw-backdrop-saturate{syntax:"*";inherits:false}@property --tw-backdrop-sepia{syntax:"*";inherits:false}@property --tw-duration{syntax:"*";inherits:false}@property --tw-ease{syntax:"*";inherits:false}@property --tw-content{syntax:"*";inherits:false;initial-value:""}@property --tw-divide-x-reverse{syntax:"*";inherits:false;initial-value:0}@keyframes spin{to{transform:rotate(360deg)}}@keyframes ping{75%,to{opacity:0;transform:scale(2)}}@keyframes pulse{50%{opacity:.5}}@keyframes bounce{0%,to{animation-timing-function:cubic-bezier(.8,0,1,1);transform:translateY(-25%)}50%{animation-timing-function:cubic-bezier(0,0,.2,1);transform:none}}

Sub-topics in Topic 8.2