Rollpie

Archive Scientific Basic Simple

计算器与计算工具

Arithmetic

Speed

Speed Time Distance Closing the Gap Catching Up

Percentage

Percentage Price with Tax Price Before Tax Discounted Price Rate of Change Mixing Two Solutions

Ratio

Proportional Distribution Unit Price Proportion Splitting the Bill

Fractions

Fraction Arithmetic Decimal to Fraction

Word Problems

Work Rate Angle Between Clock Hands Score Needed for a Target Average

Mathematics

Triangles

Law of Cosines (Third Side)Law of Cosines (Angles)Law of Sines Area of a Triangle (Two Sides and the Included Angle)Heron's Formula

Coordinates

Distance Between Two Points Line Through Two Points Distance from a Point to a Line Intersection of Two Lines

Vectors and Matrices

Magnitude of a Vector Dot Product and Angle Between Vectors Cross Product of Vectors 2×2 Determinant and Inverse 3×3 Determinant and Inverse

Equations

Quadratic Equation Cubic Equation Factorizing a Quadratic Simultaneous Linear Equations Three Simultaneous Linear Equations

Sequences

Arithmetic Sequence Geometric Sequence Fibonacci Numbers

Integers

GCD and LCM Extended Euclidean Algorithm Prime Factorization Prime Check and Neighbouring Primes The nth Prime and How Many Primes Number and Sum of Divisors Modular Exponentiation Base Conversion Bitwise Operations and Shifts

Operations

Power Logarithm Factorial Sum of Binomial Coefficients

Complex Numbers

Complex Number Arithmetic Polar Form and Powers of a Complex Number

Calculus

Derivative of a Polynomial and its Tangent Definite Integral of a Polynomial

Statistics

Averages

Mean Median Mode Weighted Mean Geometric Mean Harmonic Mean Moving Average

Spread

Range Quartiles and Interquartile Range Percentile Standard Deviation Sample Variance and Standard Deviation Coefficient of Variation Skewness and Kurtosis Frequency Distribution Classes Detecting Outliers with the Interquartile Range Gini Coefficient

Standardisation

Deviation Value (T-score)Z-score

Correlation

Covariance Correlation Coefficient Spearman Rank Correlation Kendall Rank Correlation Linear Regression (Least Squares)Multiple Regression with Two Predictors

Counting

Permutations nPr Combinations nCr Combinations with Repetition nHr Circular Permutations Permutations with Repeated Items Inclusion-Exclusion Principle (Three Sets)

Probability

Expected Value Conditional Probability Bayes' Theorem Sensitivity, Specificity and Predictive Values Odds Ratio and Risk Ratio Probability of at Least One Success

Distributions

Binomial Probability Mean and Variance of a Binomial Distribution Poisson Probability Normal Distribution Probability Normal Distribution Interval Hypergeometric Distribution Geometric Distribution Exponential Distribution

Inference

Standard Error of the Mean Confidence Interval for a Mean Confidence Interval for a Proportion Sample Size for Estimating a Mean Sample Size for Estimating a Proportion Statistical Power

Tests

One-sample t-test Two-sample t-test Paired t-test Test for a Population Proportion Test for the Difference of Two Proportions F-test for Equal Variances One-way Analysis of Variance Chi-square Goodness-of-fit Test Chi-square Test of Independence Effect Size (Cohen's d)Test for Zero Correlation Mann-Whitney U Test Wilcoxon Signed-Rank Test Kruskal-Wallis Test

Solid Geometry

Volume

Volume of a Cuboid Volume of a Sphere Volume of a Cylinder Volume of a Cone Volume of a Frustum Volume of a Pyramid Volume of a Torus Spherical Cap Volume and Surface Area of an Ellipsoid Volume and Surface Area of a Regular Prism

Surface Area

Surface Area of a Cuboid Surface Area of a Sphere Surface Area of a Cylinder Surface Area of a Cone Surface Area of a Frustum Surface Area of a Torus

Capacity

Capacity and Mass of a Pipe Liquid in a Horizontal Cylindrical Tank

Physics

Mechanics

Force (Newton's Second Law)Work Power Kinetic Energy Potential Energy Momentum Hooke's Law Pressure Density Friction Object on a Slope Torque and the Lever Moment of Inertia Newton's Law of Gravitation Collision and the Coefficient of Restitution

Motion

Acceleration Uniformly Accelerated Motion Free Fall Projectile Motion Pendulum Period Uniform Circular Motion Simple Harmonic Motion

Electricity

Voltage (Ohm's Law)Current (Ohm's Law)Resistance (Ohm's Law)Electric Power Electric Energy and Cost Resistors in Series Resistors in Parallel Voltage Drop in a Cable Coulomb's Law Transformer Turns Ratio Three-Phase Power

Circuits

Capacitance of a Parallel Plate Capacitor Charge and Energy Stored in a Capacitor Capacitors in Series and Parallel Impedance of a Series RLC Circuit Resonant Frequency RC Time Constant Power Factor

Heat

Heat Thermal Expansion Carnot Efficiency Thermal Equilibrium Temperature Latent Heat Thermal Radiation (Stefan-Boltzmann Law)

Waves and Light

Wave Speed Speed of Sound from Air Temperature Thin Lens Equation Snell's Law and the Critical Angle Photon Energy The Doppler Effect Sound Level and Distance

Fluids

Buoyancy (Archimedes' Principle)Water Pressure at Depth Flow Rate and Velocity Bernoulli's Principle

Chemistry

Amount of Substance

Moles and Mass Reaction Stoichiometry Reaction Yield

Concentration

Molar Concentration Mass Percent Concentration Converting ppm, ppb and Percent Dilution

Acids and Bases

pH and Hydrogen Ion Concentration Neutralisation Titration pH of a Buffer Solution

Gases

Ideal Gas Law Combined Gas Law (Boyle and Charles)Gas Density and Molar Volume

Properties of Solutions

Boiling Point Elevation and Freezing Point Depression Osmotic Pressure Solubility and Recrystallisation

Electrolysis

Electrolysis (Faraday's Law)

Radioactive Decay

Everyday Life

Health

BMI (Body Mass Index)Basal Metabolic Rate (BMR)Calories Burned (METs)Body Fat Percentage Estimate Body Surface Area Target Heart Rate (Karvonen Method)Running Pace and Predicted Time Units of Alcohol and Time to Clear Macronutrient Balance One-Rep Max VO2 Max from the Cooper Test Wet-Bulb Globe Temperature Pregnancy Weeks and Due Date

Money

Simple Interest Compound Interest Future Value of Regular Savings Net Present Value Internal Rate of Return Loan Payment (Equal Instalments)Loan Payment (Equal Principal)How Much You Can Borrow How Long a Loan Takes to Repay The Effect of Making an Extra Loan Payment Revolving Credit Repayment Effective Annual Rate The Rule of 72 Average Cost After Buying More Rental Yield (Gross and Net)Financial Independence (the 4% Rule)

Business

Profit Margin and Cost Ratio Break-Even Point and Margin of Safety Depreciation (Straight Line and Declining Balance)Economic Order Quantity and Reorder Point Inventory Turnover Return on Investment

Car

Fuel Efficiency Fuel Cost of a Trip

Dates

Dates

Days Between Two Dates Date After Adding Days Day of the Week Day of the Year ISO Week Number

Times

Time Difference Between Two Times Working Hours and Overtime Time Zone Conversion

Spans

Age Calculator Business Days Between Dates Days Since Birth and Milestones

Information

Networks

Download Time Calculator Data Rate Conversion Subnet Mask and Host Count IP Address and Decimal Conversion

Images and Video

Aspect Ratio Calculator Video File Size Calculator Print Size and Resolution RGB to HEX Colour Conversion Colour Contrast Ratio (WCAG)

Computing

Password Combinations and Cracking Time Unix Timestamp Converter Battery Life Calculator