Arithmetic (A + B, A * B, etc.)
Physics: Force (F = m * a)
Physics: Kinetic Energy (Ek = 0.5 * m * v²)
Geometry: Circle Area (π * r²)
Geometry: Triangle Area (0.5 * b * h)
Algebra: Power (x^y)
How Does the Computational Intelligence Engine Work?
A computational knowledge engine differs from a standard search engine. Instead of providing a list of websites, it uses mathematical algorithms and curated data to compute direct answers. This tool utilizes specific scientific formulas to provide instantaneous results for mathematics, physics, and geometry.
Examples of Computations
Physics Calculations: Calculate the force required to move an object by entering its mass and acceleration (F=ma).
Kinetic Energy: Determine the energy of a moving body using mass and velocity (1/2mv²).
Geometric Analysis: Find the area of complex shapes like circles or triangles by inputting radius, base, or height.
Mathematical Operations: Solve high-precision arithmetic and algebraic powers.
Key Variables Defined
When using this calculator, ensure your inputs align with scientific standard units:
Term
Standard Unit
Description
Mass
kg
The amount of matter in an object.
Acceleration
m/s²
The rate of change of velocity.
Radius
meters
Distance from the center to the edge.
function updateFields() {
var category = document.getElementById('calcCategory').value;
var labelA = document.getElementById('labelA');
var labelB = document.getElementById('labelB');
var divB = document.getElementById('divB');
var opContainer = document.getElementById('opContainer');
var valAInput = document.getElementById('valA');
var valBInput = document.getElementById('valB');
// Reset visibility
divB.style.display = "block";
opContainer.style.display = "none";
valAInput.value = "";
valBInput.value = "";
if (category === 'basic') {
labelA.innerText = "Value A:";
labelB.innerText = "Value B:";
opContainer.style.display = "block";
} else if (category === 'physics_force') {
labelA.innerText = "Mass (kg):";
labelB.innerText = "Acceleration (m/s²):";
} else if (category === 'physics_energy') {
labelA.innerText = "Mass (kg):";
labelB.innerText = "Velocity (m/s):";
} else if (category === 'geometry_circle') {
labelA.innerText = "Radius (r):";
divB.style.display = "none";
} else if (category === 'geometry_triangle') {
labelA.innerText = "Base (b):";
labelB.innerText = "Height (h):";
} else if (category === 'algebra_power') {
labelA.innerText = "Base (x):";
labelB.innerText = "Exponent (y):";
}
}
function computeWolfram() {
var category = document.getElementById('calcCategory').value;
var a = parseFloat(document.getElementById('valA').value);
var b = parseFloat(document.getElementById('valB').value);
var op = document.getElementById('operation').value;
var resultDiv = document.getElementById('wolframResult');
var resultContent = document.getElementById('resultContent');
var stepDetails = document.getElementById('stepDetails');
var result = 0;
var formulaString = "";
if (isNaN(a) && category !== 'geometry_circle') {
alert("Please enter valid numeric values.");
return;
}
if (category === 'basic') {
if (op === 'add') { result = a + b; formulaString = a + " + " + b; }
else if (op === 'sub') { result = a – b; formulaString = a + " – " + b; }
else if (op === 'mul') { result = a * b; formulaString = a + " × " + b; }
else if (op === 'div') {
if (b === 0) { result = "Infinity"; formulaString = a + " / 0″; }
else { result = a / b; formulaString = a + " / " + b; }
}
} else if (category === 'physics_force') {
result = a * b;
formulaString = "Force = " + a + " kg * " + b + " m/s²";
result = result.toFixed(4) + " Newtons (N)";
} else if (category === 'physics_energy') {
result = 0.5 * a * Math.pow(b, 2);
formulaString = "Energy = 0.5 * " + a + " kg * (" + b + " m/s)²";
result = result.toFixed(4) + " Joules (J)";
} else if (category === 'geometry_circle') {
result = Math.PI * Math.pow(a, 2);
formulaString = "Area = π * " + a + "²";
result = result.toFixed(4) + " sq units";
} else if (category === 'geometry_triangle') {
result = 0.5 * a * b;
formulaString = "Area = 0.5 * " + a + " * " + b;
result = result.toFixed(4) + " sq units";
} else if (category === 'algebra_power') {
result = Math.pow(a, b);
formulaString = a + " raised to the power of " + b;
}
resultContent.innerHTML = "Computed Value: " + result;
stepDetails.innerText = "Formula used: " + formulaString;
resultDiv.style.display = "block";
}
// Initial state setup
updateFields();