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var(--tw-gradient-from-position),var(--tw-gradient-to) var(--tw-gradient-to-position))}.bg-clip-text{-webkit-background-clip:text;background-clip:text}.p-1{padding:var(--spacing)}.p-2{padding:calc(var(--spacing) * 2)}.p-4{padding:calc(var(--spacing) * 4)}.p-5{padding:calc(var(--spacing) * 5)}.p-6{padding:calc(var(--spacing) * 6)}.p-8{padding:calc(var(--spacing) * 8)}.p-12{padding:calc(var(--spacing) * 12)}.px-1{padding-inline:var(--spacing)}.px-1\.5{padding-inline:calc(var(--spacing) * 1.5)}.px-2{padding-inline:calc(var(--spacing) * 2)}.px-2\.5{padding-inline:calc(var(--spacing) * 2.5)}.px-3{padding-inline:calc(var(--spacing) * 3)}.px-4{padding-inline:calc(var(--spacing) * 4)}.px-5{padding-inline:calc(var(--spacing) * 5)}.px-6{padding-inline:calc(var(--spacing) * 6)}.py-0\.5{padding-block:calc(var(--spacing) * .5)}.py-1{padding-block:var(--spacing)}.py-1\.5{padding-block:calc(var(--spacing) * 1.5)}.py-2\.5{padding-block:calc(var(--spacing) * 2.5)}.py-3{padding-block:calc(var(--spacing) 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4)}.text-center{text-align:center}.font-mono{font-family:var(--font-mono)}.font-sans{font-family:var(--font-inter),ui-sans-serif,system-ui,sans-serif}.text-2xl{font-size:var(--text-2xl);line-height:var(--tw-leading,var(--text-2xl--line-height))}.text-4xl{font-size:var(--text-4xl);line-height:var(--tw-leading,var(--text-4xl--line-height))}.text-base{font-size:var(--text-base);line-height:var(--tw-leading,var(--text-base--line-height))}.text-lg{font-size:var(--text-lg);line-height:var(--tw-leading,var(--text-lg--line-height))}.text-sm{font-size:var(--text-sm);line-height:var(--tw-leading,var(--text-sm--line-height))}.text-xl{font-size:var(--text-xl);line-height:var(--tw-leading,var(--text-xl--line-height))}.text-xs{font-size:var(--text-xs);line-height:var(--tw-leading,var(--text-xs--line-height))}.text-\[10px\]{font-size:10px}.leading-relaxed{--tw-leading:var(--leading-relaxed);line-height:var(--leading-relaxed)}.leading-snug{--tw-leading:var(--leading-snug);line-height:var(--leading-snug)}.font-bold{--tw-font-weight:var(--font-weight-bold);font-weight:var(--font-weight-bold)}.font-extrabold{--tw-font-weight:var(--font-weight-extrabold);font-weight:var(--font-weight-extrabold)}.font-medium{--tw-font-weight:var(--font-weight-medium);font-weight:var(--font-weight-medium)}.font-semibold{--tw-font-weight:var(--font-weight-semibold);font-weight:var(--font-weight-semibold)}.tracking-tight{--tw-tracking:var(--tracking-tight);letter-spacing:var(--tracking-tight)}.tracking-wide{--tw-tracking:var(--tracking-wide);letter-spacing:var(--tracking-wide)}.tracking-wider{--tw-tracking:var(--tracking-wider);letter-spacing:var(--tracking-wider)}.tracking-widest{--tw-tracking:var(--tracking-widest);letter-spacing:var(--tracking-widest)}.text-ellipsis{text-overflow:ellipsis}.whitespace-nowrap{white-space:nowrap}.whitespace-pre-line{white-space:pre-line}.text-amber-200{color:var(--color-amber-200)}.text-amber-400{color:var(--color-amber-400)}.text-brand-bg{color:#0a0e27}.text-brand-cyan{color:#00d4ff}.text-emerald-400{color:var(--color-emerald-400)}.text-gray-100{color:var(--color-gray-100)}.text-gray-200{color:var(--color-gray-200)}.text-gray-300{color:var(--color-gray-300)}.text-gray-400{color:var(--color-gray-400)}.text-gray-700{color:var(--color-gray-700)}.text-purple-400{color:var(--color-purple-400)}.text-red-200{color:var(--color-red-200)}.text-red-400{color:var(--color-red-400)}.text-red-500{color:var(--color-red-500)}.text-transparent{color:#0000}.text-white{color:var(--color-white)}.uppercase{text-transform:uppercase}.italic{font-style:italic}.antialiased{-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}.placeholder-gray-400::placeholder{color:var(--color-gray-400)}.opacity-25{opacity:.25}.opacity-75{opacity:.75}.shadow-\[0_0_15px_\#00d4ff\]{--tw-shadow:0 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oklab,var(--color-red-700) 60%,transparent)}}.hover\:bg-brand-cyan\/5:hover{background-color:oklab(80.4255% -.112589 -.0928607/.05)}.hover\:text-brand-cyan:hover{color:#00d4ff}.hover\:text-brand-cyan\/80:hover{color:oklab(80.4255% -.112589 -.0928607/.8)}.hover\:text-red-300:hover{color:var(--color-red-300)}.hover\:text-white:hover{color:var(--color-white)}.hover\:underline:hover{text-decoration-line:underline}.hover\:brightness-110:hover{--tw-brightness:brightness(110%);filter:var(--tw-blur,) var(--tw-brightness,) var(--tw-contrast,) var(--tw-grayscale,) var(--tw-hue-rotate,) var(--tw-invert,) var(--tw-saturate,) var(--tw-sepia,) var(--tw-drop-shadow,)}}.focus\:border-brand-cyan:focus{border-color:#00d4ff}.focus\:ring-0:focus{--tw-ring-shadow:var(--tw-ring-inset,) 0 0 0 calc(0px + var(--tw-ring-offset-width)) 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A cautious user's guide in applying HMMs to physical systems.

Abstract