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Normal distribution · μ = 0, σ = 1
68.27%
Rangeμ ± 1σ
Area0.6827
Outside0.3173
Open the bell curve generator
σStep-by-step working
✓Formulas cited & verified

Popular engineering tools

The calculators engineers and students open most, each with plots and step-by-step working.

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StructuralTool

Bending Stress Calculator

Beam bending stress from moment, section modulus and geometry, with the stress distribution plotted.

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Construction & MaterialsTool

Concrete Volume Calculator

Volume of concrete for slabs, columns, beams and footings with wastage allowance.

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Every tool and guide is grouped by subject, so related calculators and theory sit together.

Electromagnetism 2 tools 2 guides
Image Processing 3 tools 2 guides
AI & Machine Learning 2 guides
Statistics & Math 9 tools 1 guide
Surveying 1 tool 1 guide
Highway & Transportation 1 tool 2 guides
Geotechnical 1 tool 6 guides
Hydrology & Water 4 tools 7 guides
Construction & Materials 3 tools 10 guides
Structural 2 tools 9 guides
Calculators & Converters 3 tools

Latest guides & articles

Theory explained from first principles, with worked examples you can check.

All 42 articles
Image ProcessingGuideNew

Laplacian Filter Explained: From Second Derivatives to LoG, Zero Crossings and Sharpening

The Laplacian filter finds edges, spots and fine detail by measuring the curvature of brightness. This guide starts from the derivative of a 1-D signal, derives the familiar 3 × 3 kernels from Taylor series, explains what the sign and the zero crossings mean, shows why the filter amplifies noise and how the Laplacian of Gaussian fixes it, and ends with blob detection, sharpening and the Laplacian in physics. Four live demos let you test each idea.

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Image ProcessingGuideNew

Gaussian Filter Explained: From Convolution Basics to Kernels, Sigma and the Frequency Domain

The Gaussian filter is the most widely used smoothing filter in image processing, remote sensing and computer vision. This guide builds it from nothing: what filtering is, how convolution works, where the bell curve comes from, how to compute a kernel by hand, why the filter is separable, what it does to frequencies and noise, and how to choose σ. Every idea comes with a worked example or a live demo

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ElectromagnetismGuideNew

Faraday's Law and Lenz's Law: Electromagnetic Induction Explained with Interactive Calculators

Every power station, transformer, electric guitar pickup and wireless charger works because a changing magnetic flux induces a voltage. This guide explains magnetic flux, Faraday's law, the direction rule of Lenz's law, motional EMF, the AC generator, transformers, inductance and eddy currents, with worked examples and an animated generator you can control.

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Image ProcessingToolNew

Gaussian Filter Explained: From Convolution Basics to Kernels, Sigma and the Frequency Domain

The Gaussian filter is the most widely used smoothing filter in image processing, remote sensing and computer vision. This guide builds it from nothing: what filtering is, how convolution works, where the bell curve comes from, how to compute a kernel by hand, why the filter is separable, what it does to frequencies and noise, and how to choose σ. Every idea comes with a worked example or a live demo

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Image ProcessingToolNew

Laplacian Filter Tool: Edge Detection, Laplacian of Gaussian and Image Sharpening

Apply the 4-neighbour, 8-neighbour or isotropic Laplacian kernel, the Laplacian of Gaussian or a Difference of Gaussians to a test image or your own photo. View the signed response, find edges as zero crossings, sharpen the image, and see why smoothing must come before the second derivative. Click any pixel to see the arithmetic.

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Image ProcessingToolNew

Gaussian Filter Calculator: Kernel Generator and Online Image Blur Tool

Generate a normalized Gaussian kernel for any sigma, see exactly how its weights are computed, and apply it to a test image or your own photo. Add noise, measure the improvement in PSNR, find the best sigma, and compare the filter's frequency response with a box filter. Every calculation runs in your browser.

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ElectromagnetismToolNew

Magnetic Field Calculator: Straight Wire, Current Loop, Solenoid, Helmholtz Coil and Toroid

Compute the magnetic flux density B produced by steady currents in the six most common conductor shapes, using the Biot–Savart law and Ampère's law. The calculator gives B in tesla, millitesla, microtesla and gauss, plots the field along the axis, maps the exact off-axis field of a loop, compares finite and ideal solenoids, and shows the substituted formula for every result.

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ElectromagnetismToolNew

Electric Field Calculator and Simulator for Point Charges (Coulomb's Law)

Place up to eight point charges, drag them around, and watch the electric field lines and equipotential lines update live. Move the probe to read the electric field vector and potential at any point, see the net Coulomb force on every charge, or use the quick Coulomb's law calculator for two charges in any medium.

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Hydrology & WaterToolNew

SPI Calculator: Standardized Precipitation Index from Monthly Rainfall

Paste a monthly rainfall series and get the SPI at 1 to 24 months using the standard McKee et al. (1993) gamma method, the drought category of every month, a list of drought events with duration and severity, and a multi-scale heatmap that shows how short dry spells grow into long droughts.

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Verified formulas

Methods follow standard textbooks and codes, cited on each page, and worked examples are checked independently.

Step-by-step working

See every intermediate value, not just the answer, so you can learn the method and check your own work.

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Plots update as you type. Export graphs and results for assignments, reports and presentations.

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Frequently asked questions

What kind of content can I find on Engineers Views?

Engineers Views offers detailed civil engineering tutorials, practical guides on concrete mix design and soil mechanics, insights into AI/ML and Python in engineering, and useful online calculators.

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