// Mathematical equations for each digit 0-9
const digitEquations = {
    0: "lim<sub>x→∞</sub>(1/x)",
    1: "cos(0)",
    2: "1 + 1",
    3: "√9",
    4: "2<sup>2</sup>",
    5: "∫<sub>0</sub><sup>1</sup>5dx",
    6: "3!",
    7: "⌈6.3⌉",
    8: "4 × 2",
    9: "3<sup>2</sup>"
};

function updateClock() {
    const now = new Date();
    const hours = now.getHours();
    const minutes = now.getMinutes();
    const seconds = now.getSeconds();
    
    // Format hours to 12-hour format
    const displayHours = hours % 12 || 12;
    
    // Update each digit with equation
    document.querySelector('.hour-digit .equation').innerHTML = 
        digitEquations[Math.floor(displayHours / 10)] || digitEquations[displayHours % 10];
    document.querySelector('.minute-digit .equation').innerHTML = 
        digitEquations[Math.floor(minutes / 10)] + " " + digitEquations[minutes % 10];
    document.querySelector('.second-digit .equation').innerHTML = 
        digitEquations[Math.floor(seconds / 10)] + " " + digitEquations[seconds % 10];
}

// Update clock every second
setInterval(updateClock, 1000);
updateClock(); // Initial call