@import url('https://fonts.googleapis.com/css2?family=Indie+Flower&display=swap');
@import url('https://fonts.googleapis.com/css2?family=Cabin+Sketch:wght@400;700&display=swap');

/* General Styles */
body {
    margin: 0;
    padding: 0;
    font-family: "Indie Flower", cursive;
    display: flex;
    flex-direction: column;
    align-items: center;
    justify-content: center;
    padding: 20px;
}

.heading_of_post {
    margin-bottom: 40px;
    text-align: center;
}

.post_title {
    font-size: 60px;
    font-family: "Cabin Sketch", sans-serif;
    color: red;
    font-style: italic;
    margin: 0;
}

.short_intro {
    max-width: 800px;
    text-align: center;
}

.summary {
    font-size: 30px;
    margin-bottom: 40px;
}

.important_words {
    display: inline;
    white-space: nowrap;
    overflow: hidden;
    border-right: 2px solid black;
    animation: typing 5s steps(10, end), blink-caret 0.75s step-end infinite;
    font-family: "Cabin Sketch", sans-serif;
}

@keyframes typing {
    from {
        width: 0;
    }

    to {
        width: 100%;
    }
}

@keyframes blink-caret {

    from,
    to {
        border-color: transparent;
    }

    50% {
        border-color: black;
    }
}

.sketch_heading {
    font-family: "Cabin Sketch", sans-serif;
    font-size: 40px;
    margin-bottom: 20px;
}

.hypo_sketch {
    display: flex;
    justify-content: center;
    margin-bottom: 40px;
}

.centered_image {
    max-width: 100%;
    height: 400px;
}

/* Question Container */
.questions_container {
    margin-top: 20px;
    text-align: left;
}

.question {
    display: none;
    /* Each question is hidden initially */
    margin: 10px 0;
    font-size: 18px;
    color: #000000;
}

/* Reveal Button */
.ques_button {
    display: flex;
    /* Enable flexbox */
    justify-content: center;
    /* Center content horizontally */
    align-items: center;
    /* Center content vertically (if needed) */
    height: 100px;
    /* Adjust based on the height of your container */
}

.reveal_button {
    --primary: 255, 90, 120;
    --secondary: 150, 50, 60;
    width: 100px;
    height: 50px;
    border: none;
    outline: none;
    cursor: pointer;
    touch-action: manipulation;
    border-radius: 25px;
    position: relative;
    transition: 0.3s;
    margin-bottom: 20px;
}

.reveal_button .back {
    background: rgb(var(--secondary));
    border-radius: 25px;
    position: absolute;
    left: 0;
    top: 0;
    width: 100%;
    height: 100%;
}

.reveal_button .front {
    background: linear-gradient(0deg, rgba(var(--primary), 0.6) 20%, rgba(var(--primary)) 50%);
    box-shadow: 0 0.5em 1em -0.2em rgba(var(--secondary), 0.5);
    border-radius: 25px;
    position: absolute;
    border: 1px solid rgb(var(--secondary));
    left: 0;
    top: 0;
    width: 100%;
    height: 100%;
    display: flex;
    justify-content: center;
    align-items: center;
    font-size: 12px;
    font-weight: 600;
    font-family: inherit;
    transform: translateY(-15%);
    transition: 0.15s;
    color: rgb(var(--secondary));
}

.reveal_button:active .front {
    transform: translateY(0%);
    box-shadow: 0 0;
}

/* Data Container */
.data_container {
    width: 90%;
    /* Increased width for a more expansive look */
    margin: 20px auto;
    /* Added top and bottom margin for better spacing */
    background-color: #ffffff;
    /* Ensured a clean white background */
    padding: 30px;
    /* Increased padding for more spacing inside the container */
    box-shadow: 0 4px 15px rgba(0, 0, 0, 0.2);
    /* Darker and more pronounced shadow */
    border-radius: 12px;
    /* Slightly larger border-radius for a smoother corner */
    transition: transform 0.2s ease-in-out, box-shadow 0.2s ease-in-out;
}

.data_container:hover {
    transform: translateY(-5px);
    /* Added a slight lift effect on hover */
    box-shadow: 0 6px 20px rgba(0, 0, 0, 0.3);
    /* Increased shadow on hover */
}

.data_container_heading {
    text-align: center;
    color: #444;
    /* Slightly darker text color for better contrast */
    font-size: 24px;
    /* Increased font size for better readability */
    margin-bottom: 25px;
    /* Increased bottom margin for more spacing */
}

/* Table Styling */
.reg_data table {
    width: 100%;
    border-collapse: collapse;
    font-size: 16px;
    /* Slightly increased font size */
    transition: all 0.3s ease;
    /* Smooth transition for all changes */
}

.reg_data th,
.reg_data td {
    border: 1px solid #ccc;
    /* Slightly lighter border for a softer look */
    padding: 15px;
    /* Increased padding for more space in cells */
    text-align: center;
}

.reg_data th {
    background-color: #e7e7e7;
    /* Slightly darker background for headers */
    color: #333;
    font-weight: bold;
    text-transform: uppercase;
    /* Added uppercase for header text */
}

.reg_data tr:nth-child(even) {
    background-color: #f5f5f5;
    /* Slightly darker alternating row color */
}

.reg_data tr:hover {
    background-color: #e0e0e0;
    /* Darker hover background for rows */
    cursor: pointer;
    /* Cursor change on hover */
}

.reg_data td {
    transition: background-color 0.2s ease-in-out;
}

.reg_data td:focus {
    background-color: #ffd966;
    /* Highlight focused cell */
    outline: none;
    / pxove default outline */
}

/* Question Highlighting */
.highlight {
    background-color: #ffefb3;
    padding: 5px;
    border-radius: 5px;
}

#independent-variable,
#hypothesis-function {
    font-weight: bold;
}

.little_info {
    font-style: italic;
    color: #555;
}

/* Scatterplot Info */
.scatterplot-info {
    font-size: 20px;
    line-height: 1.5;
    margin-top: 20px;
}

.scatterplot_container {
    margin-top: 20px;
    text-align: center;
}

/* Equation Display */
.eqn {
    font-weight: bold;
    color: #007bff;
}

/* Additional Styling for Reflections */
.reflections {
    font-size: 20px;
    line-height: 1.5;
    margin-top: 20px;
    color: #333;
}


.terminologies {
    padding: 20px;
    row-gap: 10px;
}

/* important terms */
/* Basic Highlight */
.terms {
    background-color: #ffeb3b;
    /* Bright yellow background */
    padding: 2px 5px;
    /* Small padding for spacing */
    border-radius: 3px;
    /* Slightly rounded corners */
    font-weight: bold;
    /* Bold text */
}

/* Alternative Highlight with Border */
.terms {
    background-color: #e3f2fd;
    /* Light blue background */
    padding: 3px 6px;
    /* Slightly larger padding */
    border: 1px solid #0288d1;
    /* Blue border */
    border-radius: 3px;
    /* Rounded corners */
    font-weight: bold;
    /* Bold text */
}

/* Highlight with Text Shadow */
.terms {
    background-color: #fff3e0;
    /* Light orange background */
    color: #ff5722;
    /* Deep orange text */
    padding: 5px 10px;
    /* Larger padding for a boxed effect */
    border: 2px solid #ff5722;
    /* Matching border */
    border-radius: 5px;
    /* Rounded corners */
    font-weight: bold;
    /* Bold text */
}

.too_imp_things {
    color: #007bff;
}

.regress_types {
    margin-top: 25px;
    font-family: "Cabin Sketch", sans-serif;
    font-size: 45px;
}

.types_summary {
    margin: 10px;
    font-family: "Indie Flower", cursive;
    font-size: 25px;
}


/* types chart */

.regression_chart {
    display: flex;
    justify-content: space-between;
    /* Distribute buttons with equal space between them */
    gap: 30px;
    /* Optional: controls the space between buttons */
    margin-bottom: 20px;
    padding: 0 10%;
    /* Adjusts the padding to control overall spacing within the container */
}

.types_of_regres {
    text-align: center;
    margin: 20px;
}

.regress_types {
    font-size: 2em;
    margin-bottom: 10px;
}

.types_summary {
    font-size: 25px;
    margin-bottom: 20px;
}

.regression_type {
    --btn-default-bg: rgb(255, 254, 254);
    --btn-padding: 15px 20px;
    --btn-hover-bg: rgb(255, 253, 253);
    --btn-transition: .3s;
    --btn-letter-spacing: 1px;
    --btn-animation-duration: 1.2s;
    --btn-shadow-color: rgba(0, 0, 0, 0.137);
    --btn-shadow: 0 2px 10px 0 var(--btn-shadow-color);
    --hover-btn-color: #FAC921;
    --default-btn-color: #090909;
    --font-size: 26px;
    /* 👆 this field should not be empty */
    --font-weight: 600;
    --font-family: "Cabin Sketch", sans-serif;
    /* 👆 this field should not be empty */
}

/* button settings 👆 */

.regression_type {
    box-sizing: border-box;
    padding: var(--btn-padding);
    display: flex;
    align-items: center;
    justify-content: center;
    color: var(--default-btn-color);
    font: var(--font-weight) var(--font-size) var(--font-family);
    background: var(--btn-default-bg);
    border: none;
    cursor: pointer;
    transition: var(--btn-transition);
    overflow: hidden;
    box-shadow: var(--btn-shadow);
}

.regression_type span {
    letter-spacing: var(--btn-letter-spacing);
    transition: var(--btn-transition);
    box-sizing: border-box;
    position: relative;
    background: inherit;
}

.regression_type span::before {
    box-sizing: border-box;
    position: absolute;
    content: "";
    background: inherit;
}

.regression_type:hover,
.regression_type:focus {
    background: var(--btn-hover-bg);
}

.regression_type:hover span,
.regression_type:focus span {
    color: var(--hover-btn-color);
}

.regression_type:hover span::before,
.regression_type:focus span::before {
    animation: chitchat linear both var(--btn-animation-duration);
}

@keyframes chitchat {
    0% {
        content: "#";
    }

    5% {
        content: ".";
    }

    10% {
        content: "^{";
    }

    15% {
        content: "-!";
    }

    20% {
        content: "#$_";
    }

    25% {
        content: "№:0";
    }

    30% {
        content: "#{+.";
    }

    35% {
        content: "@}-?";
    }

    40% {
        content: "?{4@%";
    }

    45% {
        content: "=.,^!";
    }

    50% {
        content: "?2@%";
    }

    55% {
        content: "\;1}]";
    }

    60% {
        content: "?{%:%";
        right: 0;
    }

    65% {
        content: "|{f[4";
        right: 0;
    }

    70% {
        content: "{4%0%";
        right: 0;
    }

    75% {
        content: "'1_0<";
        right: 0;
    }

    80% {
        content: "{0%";
        right: 0;
    }

    85% {
        content: "]>'";
        right: 0;
    }

    90% {
        content: "4";
        right: 0;
    }

    95% {
        content: "2";
        right: 0;
    }

    100% {
        content: "";
        right: 0;
    }
}

/* type info container */

.type_info_container {
    font-size: 30px;
}

.type_heading {
    font-family: "Cabin Sketch", sans-serif;
    text-align: center;

    color: #333;
    margin-bottom: 20px;
    font-size: 70px;
}

.linear_summary,
.linear_explained {
    font-family: "Indie Flower", cursive;
    font-size: 22px;
    line-height: 1.6;
    color: #514f4f;
    margin-bottom: 20px;
    padding: 0 20px;
    background-color: #fff;
    border-radius: 10px;
    box-shadow: 0 5px 10px rgba(4, 4, 4, 0.05);
    padding: 20px;
}

.explain_lin {
    font-size: 22px;
}

/* table 2 */

.data_container2 {
    width: 100%;
    margin: 20px 0;
    background-color: #ffffff;
    padding: 20px;
    box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
    border-radius: 12px;
    transition: transform 0.2s ease-in-out, box-shadow 0.2s ease-in-out;
}

.data_container2:hover {
    transform: translateY(-5px);
    box-shadow: 0 6px 20px rgba(0, 0, 0, 0.15);
}

.data_container_heading2 {
    font-family: "Indie Flower", cursive;
    text-align: center;
    color: #444;
    font-size: 28px;
    font-weight: bold;
    margin-bottom: 25px;
}

/* Table Styling */
.reg_data2 table {
    width: 100%;
    border-collapse: collapse;
    font-size: 18px;
    transition: all 0.3s ease;
}

.reg_data2 th,
.reg_data2 td {
    border: 1px solid #ccc;
    padding: 12px;
    text-align: center;
}

.reg_data2 th {
    background-color: #f0f0f0;
    color: #333;
    font-weight: bold;
    text-transform: uppercase;
}

.reg_data2 tr:nth-child(even) {
    background-color: #f9f9f9;
}

.reg_data2 tr:hover {
    background-color: #e0e0e0;
    cursor: pointer;
}

.reg_data2 td:focus {
    background-color: #ffd966;
    outline: none;
}

.scatterplot_container2 {
    display: flex;
    justify-content: center;
    align-items: center;
    margin: 30px 0;
}

#scatterplot2,
#bestFitLineCanvas {
    max-width: 100%;
    height: auto;
    width: 100%;
    max-width: 800px;
    /* Set a maximum width */
    margin: 0 auto;
    /* Center horizontally */
}

/* OLS Calculation Section */
.ols_calculation {
    font-family: "Cabin Sketch", sans-serif;
    margin: 30px 0;
    padding: 20px;
    background-color: #ffffff;
    border-radius: 12px;
    box-shadow: 0 4px 15px rgba(0, 0, 0, 0.1);
    font-size: 20px;
}

.ols_calculation h3 {
    text-align: center;
    color: #444;
    margin-bottom: 20px;
}

.ols_step {
    margin-bottom: 20px;
}

.ols_step h4 {
    font-size: 20px;
    color: #333;
    margin-bottom: 10px;
    text-decoration: underline;
}

.ols_step p {
    font-size: 1.1em;
    color: #555;
}

.ols_formula_container {
    font-family: "Cabin Sketch", sans-serif;
    background-color: #f7f7f7;
    padding: 20px;
    border-radius: 12px;
    box-shadow: 0 2px 10px rgba(0, 0, 0, 0.05);
}

.ols_formula_container h3 {
    text-align: center;
    color: #444;
    margin-bottom: 20px;
}

#ols_formula p {
    font-size: 1.2em;
    color: #555;
    line-height: 1.6;
}

#ols_slope_formula,
#ols_intercept_formula {
    font-size: 20px;
    color: #333;
    font-weight: bold;
    display: block;
    margin-top: 10px;
}

.linear_info_container {
    padding: 80px;
    text-align: center;
    transition: opacity 0.5s, height 0.5s;
}


/* multiple regression */


.multiple-regression-container {
    padding: 20px;
    background-color: #f7f9fc;
    border-radius: 10px;
    transition: opacity 0.5s, height 0.5s;
}

.type-heading {
    font-size: 2em;
    color: #333;
}

.multiple-summary,
.multiple-explained {
    font-size: 1.2em;
    margin-bottom: 20px;
}

.data-container {
    margin: 20px 0;
}

.data-container table {
    width: 100%;
    border-collapse: collapse;
}

.data-container th,
.data-container td {
    border: 1px solid #ddd;
    padding: 8px;
    text-align: center;
}

.daigram_canva {
    padding: 30px;
    display: flex;
    justify-content: center;
    align-items: center;
}

.vis_mat_size {
    display: flex;
    justify-content: space-around;
    width: 100%;
    max-width: 800px;
    align-items: center;
}

.box {
    border: 2px solid black;
    position: relative;
    display: flex;
    justify-content: center;
    align-items: center;
}

.box1 {
    width: 180px;
    height: 180px;
    background-color: #f8d7da;
    border-top: black;
    border-bottom: black;
}

.box2 {
    width: 270px;
    height: 120px;
    background-color: #fde2e4;
    border-left: black;
    border-right: black;
}

.box3 {
    width: 120px;
    height: 320px;
    background-color: #fff3cd;
    border-top: black;
    border-bottom: black;
}

.label {
    position: absolute;
    bottom: -30px;
    font-size: 18px;
    text-align: center;
}


.container_inverse_exist_daigram {
    width: 80%;
    max-width: 500px;
    padding: 20px;
    background-color: white;
    border: 2px solid black;
    box-shadow: 0px 4px 8px rgba(0, 0, 0, 0.1);
    align-items: center;
    justify-content: center;
    margin-left: 35%;
}

.equation {
    padding: 5px;
    margin-left: 10px;
    font-size: 24px;
    color: #001f97;
    margin-bottom: 10px;
    opacity: 0;
    transform: translateY(30px);
    animation: fadeInSlide 6s ease infinite;
}

/* Control the appearance of each equation */
#step1 {
    animation-delay: 0s;
}

#step2 {
    animation-delay: 2s;
}

#step3 {
    animation-delay: 4s;
}

#step3 {
    position: relative;
    font-size: 28px;
    animation: bounce 6s ease-in-out infinite;
}

.underline {
    display: inline-block;
    width: 0;
    height: 2px;
    background-color: red;
    position: absolute;
    bottom: -5px;
    left: 0;
    animation: underlineAnimation 6s ease infinite;
    animation-delay: 4.5s;
}

/* Fade in and slide from the bottom */
@keyframes fadeInSlide {
    0% {
        opacity: 0;
        transform: translateY(30px);
    }

    20% {
        opacity: 1;
        transform: translateY(0);
    }

    80% {
        opacity: 1;
        transform: translateY(0);
    }

    100% {
        opacity: 0;
        transform: translateY(-30px);
    }
}

/* Bounce effect for the final equation */
@keyframes bounce {

    0%,
    20%,
    50%,
    80%,
    100% {
        transform: translateY(0);
    }

    40% {
        transform: translateY(-20px);
    }

    60% {
        transform: translateY(-10px);
    }
}

/* Underline animation */
@keyframes underlineAnimation {
    0% {
        width: 0;
    }

    50% {
        width: 100px;
    }

    100% {
        width: 0;
    }
}

.danger {
    background-color: #ffcc00;
    /* Yellow for visibility */
    border: 2px solid #ff0000;
    /* Red border for urgency */
    padding: 10px;
    font-weight: bold;
    text-align: center;
}

.highlighted-word {
    background-color: #37ff00;
    /* Yellow for visibility */
    border: 2px solid #ff0000;
    /* Red border for emphasis */
    padding: 2px;
}

.important-paragraph {
    background-color: #39cee2;
    /* Yellow for visibility */
    border: 2px solid #ff0000;
    /* Red border for emphasis */
    padding: 10px;
    font-weight: bold;
    margin-bottom: 20px;
}


.heading_svd {
    font-size: 48px;
    text-align: center;
    color: #9400d8;
    padding: 20px;
    border-radius: 10px;
    text-shadow: 2px 2px 4px rgba(165, 59, 59, 0.862);
    font-size: 60px;
}

.heading_system_of_equation {
    font-size: 48px;
    text-align: center;
    color: #04f7ff;
    padding: 20px;
    border-radius: 10px;
    text-shadow: 2px 2px 4px rgba(165, 59, 59, 0.862);
    font-size: 60px;
}

.topic_name {
    font-size: 48px;
    text-align: center;
    color: #ffbc04;
    padding: 20px;
    border-radius: 10px;
    text-shadow: 2px 2px 4px rgba(165, 59, 59, 0.862);
    font-size: 60px;
}



/* svd equation */
.svd_eqn_body {
    display: flex;
    justify-content: center;
    align-items: center;
    font-size: 60px;
}

.equation-container {
    display: flex;
    gap: 5px;
    font-size: 30px;
    animation: pulse 1s 3s forwards;
    /* Final pulsing animation */
}

/* Common animation settings */
.equation span {
    display: inline-block;
    opacity: 0;
}

/* 1. Typing Animation for A */
.letter-A {
    animation: typing 0.5s forwards;
}

/* 2. Fading in the = sign */
.equals {
    animation: fadeIn 0.5s 0.5s forwards;
}

/* 3. Sliding U from left */
.letter-U {
    animation: slideInLeft 0.5s 1s forwards;
}

/* 4. Zooming in S */
.letter-S {
    animation: zoomIn 0.5s 1.5s forwards;
}

/* 5. Letter Morphing for V */
.letter-V {
    animation: morph 0.5s 2s forwards;
}

/* 6. Rotating T */
.letter-T {
    animation: rotateIn 0.5s 2.5s forwards;
}

/* Keyframe Animations */

@keyframes typing {
    0% {
        width: 0;
        opacity: 0;
    }

    100% {
        width: auto;
        opacity: 1;
    }
}

@keyframes fadeIn {
    0% {
        opacity: 0;
    }

    100% {
        opacity: 1;
    }
}

@keyframes slideInLeft {
    0% {
        transform: translateX(-100px);
        opacity: 0;
    }

    100% {
        transform: translateX(0);
        opacity: 1;
    }
}

@keyframes zoomIn {
    0% {
        transform: scale(0);
        opacity: 0;
    }

    100% {
        transform: scale(1);
        opacity: 1;
    }
}

@keyframes morph {
    0% {
        transform: scaleX(0);
        opacity: 0;
    }

    100% {
        transform: scaleX(1);
        opacity: 1;
    }
}

@keyframes rotateIn {
    0% {
        transform: rotate(-90deg);
        opacity: 0;
    }

    100% {
        transform: rotate(0deg);
        opacity: 1;
    }
}

/* Final pulsing effect on the entire equation */
@keyframes pulse {
    0% {
        transform: scale(1);
    }

    50% {
        transform: scale(1.1);
    }

    100% {
        transform: scale(1);
    }
}

/* matrixx representation svd  */

.matrix_representation_svd {
    display: flex;
    align-items: center;
    gap: 10px;
    font-size: 30px;
}

/* Matrix A */
.matrix-A {
    display: flex;
    justify-content: center;
    align-items: center;
    background-color: #e6e1e1;
    width: 90px;
    height: 300px;
    border: 2px solid black;
    font-size: 24px;
}

/* Equals sign */
.equals {
    font-size: 50px;
    margin: 0 10px;
}

/* Matrix U */
.matrix-U {
    position: relative;
    display: flex;
    width: 250px;
    height: 300px;
    border: 1px solid black;
    text-align: center;
}

.matrix-U-left {
    width: 50%;
    height: 100%;
    background-color: rgba(255, 0, 0, 0.1);
    border-right: 1px dotted black;
    display: flex;
    justify-content: center;
    align-items: center;
    text-align: center;
    font-size: 24px;
}

.matrix-U-right {
    width: 50%;
    height: 100%;
    background-color: #ffffff;
}

/* Matrix Sigma */
.matrix-Sigma {
    position: relative;
    display: flex;
    flex-direction: column;
    width: 150px;
    height: 300px;
    border: 1px solid black;
}

.sigma-top {
    width: 100%;
    text-align: center;
    height: 50%;
    background-color: rgba(255, 165, 0, 0.1);
    position: relative;
    border-bottom: 1px dotted black;
    display: flex;
    justify-content: center;
    align-items: center;
}

.sigma-diagonal {
    position: absolute;
    top: 0;
    left: 0;
    width: 100%;
    height: 100%;
    border-left: 2px solid black;
    border-top: 2px solid black;
    clip-path: polygon(0 0, 100% 0, 0 100%);
}

.sigma-symbol {
    position: absolute;
    top: 10px;
    left: 10px;
    font-size: 24px;
}

.sigma-bottom {
    width: 100%;
    height: 50%;
    display: flex;
    justify-content: center;
    align-items: center;
    font-size: 24px;
}

/* Matrix V^T */
.matrix-VT {
    display: flex;
    justify-content: center;
    align-items: center;
    width: 200px;
    height: 200px;
    background-color: rgba(255, 255, 0, 0.2);
    border: 4px solid black;
    font-size: 24px;
    border-top: #000000;
    border-bottom: #000000;
}

.subscript {
    font-size: 14px;
    vertical-align: super;
}

.diag2 {
    display: flex;
    align-items: center;
    /* Vertically centers content */
    justify-content: center;
    /* Horizontally centers content */
    gap: 10px;
    font-size: 30px;
}

.solve_svd_hand {
    display: flex;
    justify-content: center;
    align-items: center;
    gap: 10px;
    margin: 0;
    background: #f7f9fa;
    /* Light background to resemble notebook */
    font-family: "Cabin Sketch", sans-serif;
    font-size: 50px;
}

.svd_inverse-container {
    display: flex;
    flex-direction: column;
    gap: 10px;
    line-height: 1.5;
    font-size: 48px;
    color: #2043b3;
    /* Blue handwriting color */
    font-family: "Cabin Sketch", sans-serif;
}

.line {
    position: relative;
    overflow: hidden;
    border-bottom: 1px solid #d0d0d0;
    width: fit-content;
}

.line::before {
    content: '';
    position: absolute;
    top: 0;
    left: 0;
    width: 100%;
    height: 100%;
    background: white;
    animation: draw 2s linear forwards;
    animation-delay: var(--delay, 0s);
}

.line:nth-child(1)::before {
    --delay: 0s;
}

.line:nth-child(2)::before {
    --delay: 2s;
}

.line:nth-child(3)::before {
    --delay: 4s;
}

.line:nth-child(4)::before {
    --delay: 6s;
}

.line:nth-child(5)::before {
    --delay: 8s;
}

.line:nth-child(6)::before {
    --delay: 10s;
}

@keyframes draw {
    0% {
        width: 100%;
    }

    100% {
        width: 0;
    }
}

/* Repeat the animation every 12 seconds */
.equation-container {
    animation: resetAnimation 12s infinite;
}

@keyframes resetAnimation {
    0% {
        opacity: 1;
    }

    95% {
        opacity: 1;
    }

    100% {
        opacity: 0;
    }
}

/* code  */
pre {
    background-color: #2d2d2d;
    color: #f8f8f2;
    padding: 20px;
    border-radius: 5px;
    overflow-x: auto;
    font-size: 14px;
}

code {
    font-family: "Courier New", Courier, monospace;
}

.heading {
    font-size: 48px;
    text-align: center;
    color: #9400d8;
    padding: 20px;
    border-radius: 10px;
    text-shadow: 2px 2px 4px rgba(165, 59, 59, 0.862);
    font-size: 60px;
}

.img {
    display: block;
    margin-left: auto;
    margin-right: auto;
}

/* sqaured error  */
.sq_er_container {
    max-width: 800px;
    margin: auto;
    background: #f9f9f9;
    padding: 20px;
    border-radius: 8px;
    box-shadow: 0 0 10px rgba(0, 0, 0, 0.1);
}

.heading_sq_er {
    text-align: center;
    margin: 10px 0;
    font-size: 1.5em;
}

table {
    width: 100%;
    margin-bottom: 20px;
}

table,
th,
td {
    border: 1px solid #ddd;
    border-collapse: collapse;
    padding: 8px;
    text-align: center;
}

th {
    background-color: #e9ecef;
}

button {
    padding: 10px 15px;
    margin: 5px;
    cursor: pointer;
    background-color: #007bff;
    color: white;
    border: none;
    border-radius: 4px;
    transition: background-color 0.3s;
}

button:hover {
    background-color: #0056b3;
}

.info-box {
    margin: 20px 0;
    font-size: 1.2em;
    background: #e2e3e5;
    padding: 10px;
    border-radius: 4px;
}

canvas {
    display: block;
    margin: 20px auto;
}

.gd_container {
    width: 600px;
    margin: 20px auto;
    text-align: center;
}


.points {
    font-weight: bolder;
    font-size: 40px;
    line-height: 1.7;
    color: #2c3e50;
    background-color: #ecf0f1;
    /* Light grey background */
    border: 2px dashed #e67e22;
    /* Orange dashed border */
    padding: 15px;
    margin: 20px 0;
    border-radius: 8px;
    transition: background-color 0.3s ease;
}

.points:hover {
    background-color: #f39c12;
    /* Orange highlight on hover */
    color: white;
}

.points strong {
    color: #c0392b;
    /* Red for strong emphasis */
    background-color: #f1c40f;
    /* Yellow highlight */
    padding: 2px 5px;
    border-radius: 3px;
}

.points em {
    color: #16a085;
    /* Teal for italic emphasis */
    font-style: italic;
    background-color: #d5f5e3;
    /* Soft green highlight */
}

.subtopics {
    font-family: 'Comic Sans MS', sans-serif;
    font-size: 24px;
    color: #8e44ad;
    /* Purple */
    text-transform: uppercase;
    margin: 20px 0;
    padding-bottom: 5px;
    border-bottom: 3px dashed #8e44ad;
    /* Dashed border */
    letter-spacing: 1.5px;
}

.subheading {
    font-size: 45px; /* Size */
    font-weight: bold; /* Bold */
    color: #6c63ff; /* Purple color */
    position: relative; /* For animation */
    overflow: hidden; /* Hide overflow */
    white-space: nowrap; /* Prevent wrapping */
}

.subheading::before {
    content: ""; /* Empty content */
    position: absolute; /* Positioning */
    left: 0; /* Align */
    bottom: 0; /* Align */
    width: 100%; /* Full width */
    height: 5px; /* Height of wave */
    background: linear-gradient(90deg, #ff6347, #6c63ff); /* Gradient */
    animation: wave 2s infinite; /* Animation */
}

@keyframes wave {
    0% { transform: translateX(-100%); }
    50% { transform: translateX(100%); }
    100% { transform: translateX(-100%); }
}


.outer{
    padding: 45px;
    max-width: 1000px;
    margin: 0 auto;
    text-align: center;
}

.learning_rate_function {
    margin-top: 20px;
}



.points {
    margin: 10px 0;
    font-size: 16px;
}

.lr_container {
    margin: 20px 0;
}

canvas {
    border: 1px solid #ccc;
    margin-top: 10px;
}

.info-box {
    margin: 10px 0;
    font-weight: bold;
    font-size: 45px;
}


.formula-container {
    background-color: #fff;
    border: 1px solid #ddd;
    border-radius: 8px;
    padding: 20px;
    box-shadow: 0 2px 4px rgba(0, 0, 0, 0.1);
    text-align: center;
}
.formula {
    font-size: 24px;
    font-weight: bold;
    color: #333;
}

.formula-box{
    font-size: 45px;
}


.navbar {
    background-color: #17d5d2; /* Navbar background color */
    color: #ffffff;
    padding: 15px 20px;
    box-shadow: 0px 0px 35px rgba(0, 217, 250, 0.2);
    padding: 35px;
    margin-bottom: 20px;
}

.nav_container {
    margin: 0 auto;
    display: flex;
    justify-content: space-between;
    align-items: center;
}

.logo {
    font-family: "Cabin Sketch", sans-serif;
    font-size: 28px;
    font-weight: bold;
}

.nav-links {
    font-family: "Cabin Sketch", sans-serif;
    list-style: none;
    display: flex;
    gap: 20px;
}

.nav-links li {
    position: relative;
}

.nav-links a {
    color: #ffffff;
    text-decoration: none;
    padding: 10px 15px;
    transition: color 0.3s ease;
}

.nav-links a:hover {
    color: #ff1e00; /* Change color on hover */
}

.dropdown {
    position: relative;
    gap: 10px;
}

.dropdown-content {
    display: none;
    position: absolute;
    background-color: #ffffff; /* Dropdown background */
    min-width: 160px;
    box-shadow: 0 4px 8px rgba(0, 0, 0, 0.2);
    z-index: 1;
}

.dropdown-content a {
    color: #000000;
    padding: 12px 16px;
    text-decoration: none;
    display: block;
}

.dropdown-content a:hover {
    background-color: #f1f1f1; /* Hover effect for dropdown links */
}

.dropdown:hover .dropdown-content {
    display: block; /* Show dropdown on hover */
}

/* Responsive Styles */
@media (max-width: 768px) {
    .nav-links {
        display: flex;
        flex-direction: column;
        position: absolute;
        background: #21dbd1;
        top: 60px;
        left: 0;
        width: 100%;
        padding: 10px 0;
        z-index: 1000;
    }

    .dropdown-content {
        position: relative; /* Adjusted for mobile view */
        box-shadow: none; /* Remove shadow for mobile dropdown */
    }
}