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52)}.sm\:grid-cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}.sm\:flex-row{flex-direction:row}.sm\:flex-wrap{flex-wrap:wrap}.sm\:items-center{align-items:center}.sm\:items-end{align-items:flex-end}.sm\:items-start{align-items:flex-start}.sm\:justify-between{justify-content:space-between}.sm\:justify-end{justify-content:flex-end}.sm\:p-4{padding:calc(var(--spacing) * 4)}.sm\:px-3{padding-inline:calc(var(--spacing) * 3)}.sm\:px-6{padding-inline:calc(var(--spacing) * 6)}.sm\:px-8{padding-inline:calc(var(--spacing) * 8)}.sm\:pt-0{padding-top:calc(var(--spacing) * 0)}.sm\:pb-14{padding-bottom:calc(var(--spacing) * 14)}.sm\:text-right{text-align:right}.sm\:text-4xl{font-size:var(--text-4xl);line-height:var(--tw-leading,var(--text-4xl--line-height))}.sm\:text-5xl{font-size:var(--text-5xl);line-height:var(--tw-leading,var(--text-5xl--line-height))}.sm\:text-sm{font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height))}}@media (min-width:48rem){.md\:w-auto{width:auto}.md\:grid-cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}.md\:flex-row{flex-direction:row}.md\:items-center{align-items:center}.md\:justify-between{justify-content:space-between}}@media (min-width:64rem){.lg\:h-80{height:calc(var(--spacing) * 80)}.lg\:grid-cols-3{grid-template-columns:repeat(3,minmax(0,1fr))}.lg\:grid-cols-4{grid-template-columns:repeat(4,minmax(0,1fr))}.lg\:grid-cols-5{grid-template-columns:repeat(5,minmax(0,1fr))}.lg\:px-8{padding-inline:calc(var(--spacing) * 8)}.lg\:px-10{padding-inline:calc(var(--spacing) * 10)}}}:root{--lightningcss-light: ;--lightningcss-dark:initial;color-scheme:dark;background:#0d0f12}*{box-sizing:border-box}html{color:#edf2f7;background:linear-gradient(115deg,#7aa7ff17 0%,#0000 28%),linear-gradient(245deg,#22d3ee14 0%,#0000 24%),linear-gradient(#0c0e12 0%,#11151b 48%,#0d0f12 100%);overflow-x:clip}body{color:#edf2f7;min-height:100vh;font-family:var(--font-sans);-webkit-font-smoothing:antialiased;text-rendering:optimizelegibility;background:0 0;margin:0;line-height:1.6;position:relative;overflow-x:clip}@supports not (overflow:clip){html,body{overflow-x:hidden}}body:before{z-index:-2;pointer-events:none;content:"";opacity:.68;background-image:url("data:image/svg+xml,%3Csvg width='1200' height='920' viewBox='0 0 1200 920' xmlns='http://www.w3.org/2000/svg'%3E%3Cg fill='%238ab4c6' fill-opacity='0.10' font-family='JetBrains Mono, monospace' font-size='17'%3E%3Ctext x='72' y='112'%3Ee%5E(i*pi)+1=0%3C/text%3E%3Ctext x='776' y='184'%3Chat(f)(xi)=int f(x)e%5E(-2pi i xi x) dx%3C/text%3E%3Ctext x='116' y='378'%3CAv=lambda v%3C/text%3E%3Ctext x='824' y='488'%3Cdx/dt = Ax%3C/text%3E%3Ctext x='190' y='670'%3Cdiv F = rho%3C/text%3E%3Ctext x='710' y='778'%3Cx(t)=sum a_n sin(n omega t)%3C/text%3E%3C/g%3E%3Cg fill='none'%3E%3Cpath d='M0 244 C50 194 100 294 150 244 C200 194 250 294 300 244 C350 194 400 294 450 244 C500 194 550 294 600 244 C650 194 700 294 750 244 C800 194 850 294 900 244 C950 194 1000 294 1050 244 C1100 194 1150 294 1200 244' stroke='%234f7484' stroke-width='1' stroke-opacity='0.22'/%3E%3Cpath d='M0 612 C50 562 100 662 150 612 C200 562 250 662 300 612 C350 562 400 662 450 612 C500 562 550 662 600 612 C650 562 700 662 750 612 C800 562 850 662 900 612 C950 562 1000 662 1050 612 C1100 562 1150 662 1200 612' stroke='%238ab4c6' stroke-width='0.7' stroke-opacity='0.14'/%3E%3C/g%3E%3C/svg%3E");background-position:50% 5rem;background-repeat:repeat-y;background-size:min(110vw,1200px);position:fixed;inset:0}body:after{z-index:-1;pointer-events:none;content:"";background-image:url("data:image/svg+xml,%3Csvg width='960' height='760' viewBox='0 0 960 760' xmlns='http://www.w3.org/2000/svg'%3E%3Cg fill='%23b8c2cc' fill-opacity='0.055' font-family='JetBrains Mono, monospace' font-size='14'%3E%3Ctext x='620' y='88'%3Clim h-%3E0 (f(x+h)-f(x))/h%3C/text%3E%3Ctext x='78' y='204'%3Cgrad phi = 0%3C/text%3E%3Ctext x='690' y='330'%3Cy'' + omega%5E2 y = 0%3C/text%3E%3Ctext x='146' y='484'%3Clambda_n = n%5E2*pi%5E2/L%5E2%3C/text%3E%3Ctext x='540' y='648'%3CL = T - V%3C/text%3E%3C/g%3E%3C/svg%3E");background-position:calc(50% - 18rem) 8rem,calc(50% + 20rem) 24rem;background-repeat:repeat-y;background-size:min(95vw,960px);position:fixed;inset:0}.home-background-grid{z-index:0;pointer-events:none;background-color:#0000;background-image:linear-gradient(#7aa7ff12 1px,#0000 1px),linear-gradient(90deg,#22d3ee0b 1px,#0000 1px),linear-gradient(90deg,#0000 0 5.5rem,#7aa7ff1f 5.5rem 5.57rem,#0000 5.57rem);background-position:0 0,0 0,0 0;background-repeat:repeat,repeat,repeat;background-size:48px 48px;background-attachment:scroll,scroll,scroll;background-origin:padding-box,padding-box,padding-box;background-clip:border-box,border-box,border-box;position:fixed;inset:0}a{text-underline-offset:.2em}section[id]{scroll-margin-top:96px}.tagline-glow{overflow-wrap:anywhere}.latex-inline .katex,.latex-display-inline .katex{color:inherit;font-size:1em}.latex-display-inline .katex{font-size:1.08em}.card{background-image:linear-gradient(135deg,#ffffff09,#0000 34%),linear-gradient(#15181dfa,#11141afa);border:1px solid #edf2f761;position:relative;overflow:hidden;box-shadow:0 16px 40px #00000029}.card:before{content:"";background:var(--card-accent,#8ab4c6);opacity:1;width:4px;position:absolute;inset:0 auto 0 0}.card>*{position:relative}.card:hover{border-color:var(--card-accent,#8ab4c6)}@supports (color:color-mix(in lab, red, red)){.card:hover{border-color:color-mix(in srgb, var(--card-accent,#8ab4c6) 64%, #edf2f7)}}.card:hover{box-shadow:0 16px 40px #0003, 0 0 0 1px var(--card-accent,#8ab4c6)}@supports (color:color-mix(in lab, red, red)){.card:hover{box-shadow:0 16px 40px #0003, 0 0 0 1px color-mix(in srgb, var(--card-accent,#8ab4c6) 22%, transparent)}}.card-plain:before{display:none}.card-plain:hover{border-color:#edf2f7ad;box-shadow:0 16px 40px #0003}.card-blue,.card-cobalt{--card-accent:#7aa7ff}.card-coral{--card-accent:#ff8a7a}.card-gold{--card-accent:#f4c76b}.card-mint{--card-accent:#72d6b1}.card-violet{--card-accent:#a78bfa}.card-rose{--card-accent:#f43f8a}.card-lime{--card-accent:#a3e635}.card-cyan{--card-accent:#22d3ee}.notebook-rule{background:linear-gradient(#7aa7ff1a 1px,#0000 1px) 0 0/100% 1.65rem,linear-gradient(90deg,#22d3ee1a 1px,#0000 1px) 0 0/5.25rem 100%,linear-gradient(#f3ead80b,#f3ead805) 0 0/100% 100%}.section-divider{background:#edf2f7a3}.ink-highlight{background:linear-gradient(90deg,#7aa7ff2e,#22d3ee24);box-shadow:inset 0 -.38em #b59cff29}.color-chip{border-color:var(--chip-accent,#8ab4c6)}@supports (color:color-mix(in lab, red, red)){.color-chip{border-color:color-mix(in srgb, var(--chip-accent,#8ab4c6) 48%, #edf2f7)}}.color-chip{background:linear-gradient(135deg, var(--chip-accent,#8ab4c6), transparent 60%), #0d0f12c7}@supports (color:color-mix(in lab, red, red)){.color-chip{background:linear-gradient(135deg, color-mix(in srgb, var(--chip-accent,#8ab4c6) 18%, transparent), transparent 60%), #0d0f12c7}}.color-chip{color:#edf2f7}::selection{color:#edf2f7;background:#7aa7ff4d}@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-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-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:"<color>";inherits:false;initial-value:#0000}@property --tw-gradient-via{syntax:"<color>";inherits:false;initial-value:#0000}@property --tw-gradient-to{syntax:"<color>";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:"<length-percentage>";inherits:false;initial-value:0%}@property --tw-gradient-via-position{syntax:"<length-percentage>";inherits:false;initial-value:50%}@property --tw-gradient-to-position{syntax:"<length-percentage>";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-shadow{syntax:"*";inherits:false;initial-value:0 0 #0000}@property --tw-shadow-color{syntax:"*";inherits:false}@property --tw-shadow-alpha{syntax:"<percentage>";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:"<percentage>";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:"<length>";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-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}