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NovaSolver

Indie hacker and developer building NovaSolver, a platform featuring over 1,000 engineering simulations. Passionate about physics, numerical analysis, and leveraging LLM APIs to automate web developme

Location Japan Joined Joined on  Personal website https://novasolver.jp/
Entropy of Mixing: Why Gases Spread Out and Never Come Back

Entropy of Mixing: Why Gases Spread Out and Never Come Back

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5 min read
Logistic Regression: Turning a Linear Score into a Probability

Logistic Regression: Turning a Linear Score into a Probability

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5 min read
Linear Regression by Least Squares: Fitting the Best Straight Line to Data

Linear Regression by Least Squares: Fitting the Best Straight Line to Data

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5 min read
Solar Cell Fill Factor: The Number That Tells You How Good a Cell Really Is

Solar Cell Fill Factor: The Number That Tells You How Good a Cell Really Is

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5 min read
Wind Turbine Power: Why Output Scales With the Cube of Wind Speed

Wind Turbine Power: Why Output Scales With the Cube of Wind Speed

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Solar Panel Power Output: How to Estimate What a Panel Actually Delivers

Solar Panel Power Output: How to Estimate What a Panel Actually Delivers

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Optical Fiber Numerical Aperture: How Much Light a Fiber Can Catch

Optical Fiber Numerical Aperture: How Much Light a Fiber Can Catch

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Malus's Law: How a Polarizer Decides How Much Light Gets Through

Malus's Law: How a Polarizer Decides How Much Light Gets Through

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Surface Tension and Capillary Action: Why Liquids Climb Thin Tubes

Surface Tension and Capillary Action: Why Liquids Climb Thin Tubes

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Hydrostatic Pressure: Why Depth Alone Decides the Squeeze

Hydrostatic Pressure: Why Depth Alone Decides the Squeeze

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Archimedes' Principle: Why Things Float, and How to Calculate It

Archimedes' Principle: Why Things Float, and How to Calculate It

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Faraday's Law of Induction: How a Changing Magnetic Field Makes Voltage

Faraday's Law of Induction: How a Changing Magnetic Field Makes Voltage

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Coulomb's Law: The Inverse-Square Rule Behind Every Electric Force

Coulomb's Law: The Inverse-Square Rule Behind Every Electric Force

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The RC Time Constant: Why Circuits Take Time to Settle

The RC Time Constant: Why Circuits Take Time to Settle

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Thevenin's Theorem: Collapsing a Whole Circuit Into One Source and One Resistor

Thevenin's Theorem: Collapsing a Whole Circuit Into One Source and One Resistor

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Torsional Vibration: The Twisting Resonance Hidden in Every Rotating Shaft

Torsional Vibration: The Twisting Resonance Hidden in Every Rotating Shaft

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Moment of Inertia: The Rotational Twin of Mass

Moment of Inertia: The Rotational Twin of Mass

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Circular Motion: Why Going Around in Circles Is Never Effortless

Circular Motion: Why Going Around in Circles Is Never Effortless

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The Simple Pendulum: Why Its Period Depends Only on Length

The Simple Pendulum: Why Its Period Depends Only on Length

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Friction on an Inclined Plane: Will the Block Slide or Stay Put?

Friction on an Inclined Plane: Will the Block Slide or Stay Put?

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Flywheel Energy Storage: How a Spinning Mass Banks Kinetic Energy

Flywheel Energy Storage: How a Spinning Mass Banks Kinetic Energy

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Belt Drive Power Transmission: How Friction Sets the Tension and the Power

Belt Drive Power Transmission: How Friction Sets the Tension and the Power

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Shaft Torsion Stress: How to Size a Shaft for the Torque It Carries

Shaft Torsion Stress: How to Size a Shaft for the Torque It Carries

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Spring Constant of a Helical Spring: How to Predict Stiffness from Wire and Coil Geometry

Spring Constant of a Helical Spring: How to Predict Stiffness from Wire and Coil Geometry

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Vibrating String Frequency: The Physics Behind Every Stringed Instrument

Vibrating String Frequency: The Physics Behind Every Stringed Instrument

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Thermal Shock: Why a Sudden Temperature Change Can Crack Solid Material

Thermal Shock: Why a Sudden Temperature Change Can Crack Solid Material

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The Ideal Gas Law: One Equation Behind Tires, Balloons, and Engines

The Ideal Gas Law: One Equation Behind Tires, Balloons, and Engines

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Double Slit Interference: How Two Beams of Light Build a Pattern of Bright and Dark Bands

Double Slit Interference: How Two Beams of Light Build a Pattern of Bright and Dark Bands

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Numerical Integration: How to Find an Area When the Integral Has No Formula

Numerical Integration: How to Find an Area When the Integral Has No Formula

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Convective Heat Transfer Coefficient: The Number That Decides How Fast a Surface Cools

Convective Heat Transfer Coefficient: The Number That Decides How Fast a Surface Cools

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The Biot-Savart Law: Calculating the Magnetic Field of Any Current

The Biot-Savart Law: Calculating the Magnetic Field of Any Current

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RF Link Budget: Adding Up Every Gain and Loss Between Two Radios

RF Link Budget: Adding Up Every Gain and Loss Between Two Radios

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Solenoid Magnetic Field: How a Coil Turns Current Into a Uniform Field

Solenoid Magnetic Field: How a Coil Turns Current Into a Uniform Field

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The Photoelectric Effect: How Light Knocks Electrons Loose

The Photoelectric Effect: How Light Knocks Electrons Loose

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Particle in a Box: The Simplest Model That Makes Energy Quantised

Particle in a Box: The Simplest Model That Makes Energy Quantised

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Induced Drag: Why Producing Lift Always Costs You

Induced Drag: Why Producing Lift Always Costs You

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Open Channel Flow: Sizing Channels with Manning's Equation

Open Channel Flow: Sizing Channels with Manning's Equation

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6 min read
Airfoil Lift: How a Wing Holds an Aircraft in the Air

Airfoil Lift: How a Wing Holds an Aircraft in the Air

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Welding Heat Input: The Number That Decides Weld Quality

Welding Heat Input: The Number That Decides Weld Quality

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Casting Solidification Time: Why a Thick Section Cools So Much Slower

Casting Solidification Time: Why a Thick Section Cools So Much Slower

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CNC Machining Cutting Speed: Turning Spindle RPM Into Real Surface Speed

CNC Machining Cutting Speed: Turning Spindle RPM Into Real Surface Speed

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6 min read
Lead-Lag Compensators: Buying Phase Margin Back for a Sluggish Loop

Lead-Lag Compensators: Buying Phase Margin Back for a Sluggish Loop

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The Nyquist Stability Criterion: Knowing a Loop Is Stable Before You Close It

The Nyquist Stability Criterion: Knowing a Loop Is Stable Before You Close It

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Bode Plots: Reading How a System Responds, One Frequency at a Time

Bode Plots: Reading How a System Responds, One Frequency at a Time

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Retaining Wall Design: Checking a Wall Against Overturning, Sliding, and Bearing

Retaining Wall Design: Checking a Wall Against Overturning, Sliding, and Bearing

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Lateral Earth Pressure: How Hard Does Soil Push on a Wall?

Lateral Earth Pressure: How Hard Does Soil Push on a Wall?

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Slope Stability and the Factor of Safety: When Will a Slope Slide?

Slope Stability and the Factor of Safety: When Will a Slope Slide?

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Bearing Capacity of Soil: How Much Load a Footing Can Really Carry

Bearing Capacity of Soil: How Much Load a Footing Can Really Carry

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The Stress-Strain Curve: Reading a Material's Whole Mechanical Story

The Stress-Strain Curve: Reading a Material's Whole Mechanical Story

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Vibration Isolation: How to Keep a Machine's Shaking Out of the Floor

Vibration Isolation: How to Keep a Machine's Shaking Out of the Floor

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The Arrhenius Equation: Why a 10-Degree Rise Can Double a Reaction Rate

The Arrhenius Equation: Why a 10-Degree Rise Can Double a Reaction Rate

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The Newton-Raphson Method: Finding Roots by Following the Tangent

The Newton-Raphson Method: Finding Roots by Following the Tangent

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The Tsiolkovsky Rocket Equation: Why Going to Space Is So Hard

The Tsiolkovsky Rocket Equation: Why Going to Space Is So Hard

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Orbital Velocity: How Fast a Satellite Must Travel to Stay in Orbit

Orbital Velocity: How Fast a Satellite Must Travel to Stay in Orbit

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Mach Number: The Ratio That Decides How Air Reacts to a Moving Body

Mach Number: The Ratio That Decides How Air Reacts to a Moving Body

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Aerodynamic Drag Force: Why Speed Costs So Much More Than You Expect

Aerodynamic Drag Force: Why Speed Costs So Much More Than You Expect

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Biot Number: How to Know When a Cooling Object Has a Single Temperature

Biot Number: How to Know When a Cooling Object Has a Single Temperature

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Thermal Radiation and the Stefan-Boltzmann Law: Heat That Needs No Contact

Thermal Radiation and the Stefan-Boltzmann Law: Heat That Needs No Contact

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6 min read
The Brayton Cycle: How a Gas Turbine Turns Pressure Into Power

The Brayton Cycle: How a Gas Turbine Turns Pressure Into Power

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Otto Cycle Efficiency: Why Compression Ratio Decides How Far Your Fuel Goes

Otto Cycle Efficiency: Why Compression Ratio Decides How Far Your Fuel Goes

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6 min read
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