Summation Tutorial

	Home
	Numerical Excel Tutorial
	Microscopic Pedestrian Simulation
	Kardi Teknomo's Tutorial
	Micro-PedSim Free Download
	Personal Development Handbook

	Research
	Publications
	Tutorials
	Resume
	Personal
	Resources
	Contact

Visit Tutorials below:
Adaptive Learning from Histogram
Adjacency matrix
Analytic Hierarchy Process (AHP)
ArcGIS tutorial
Arithmetic Mean
Bayes Theorem
Bootstrap Sampling
Bray Curtis Distance
Break Even Point
Chebyshev Distance
City Block Distance
Conditional Probability
Continued Fraction
Data Analysis from Questionnaire
Data Revival from Statistics
Decimal to Rational
Decision tree
Difference equations
Digital Root
Discriminant analysis
Divisibility
Eigen Value using Excel
Euclidean Distance
Euler Integration
Euler Number
Excel Iteration
Excel Macro
Excel Tutorial
Feasibility Study
Financial Analysis
Generalized Inverse
Generalized Mean
Geometric Mean
Ginger Bread Man and Chaos
Graph Theory
Growth Model
Hamming Distance
Harmonic Mean
Hierarchical Clustering
Independent Events
Incident matrix
Jaccard Coefficient
Kernel basis function
Kernel Regression
k-Means clustering
K Nearest Neighbor
LAN Connections Switch
Learning from data
Lehmer Mean
Linear Algebra
Logarithm Rules
Mahalanobis Distance
Market Basket Analysis
Mean Absolute Deviation
Mean and Average
Mean, median, mode
Minkowski Distance
Minkowski Mean
Monte Carlo Simulation
Multi Agent System
Multicriteria decision making
Mutivariate Distance
Newton Raphson
Non-Linear Transformation
Normalization Index
Normalized Rank
Ordinary Differential Equation
PI
Power rules
Prime Factor
Prime Number
Q Learning
Quadratic Function
Rank Reversal
Recursive Statistics
Regression Model
Reinforcement Learning
Root of Polynomial
Runge-Kutta
Scenario Analysis
Sierpinski gasket
Sieve of Erastosthenes
Similarity and Distance
Solving System Equation
Standard deviation
Summation Tricks
System dynamic
Time Average
Tower of Hanoi
Variance
Vedic Square
Visual Basic (VB) tutorial
What If Analysis

Summation Tutorials

By Kardi Teknomo, PhD.

This tutorial is made especially for those of you who forget or confuse with the mathematics symbol Sigma that represent summation. Learning this simple tutorial may give you benefit to be able to read many books and information that you usually avoid because of that notation.

Click on the following topics

What is the meaning of Sigma Symbol? (definition of sum)
Why do we need to put a sigma symbol?
Sometimes I see the sigma symbol with no index, what is the meaning?
Please tell me about summation Tricks (Summation Properties)

Can I change that dummy index? (Change of index)
I confuse about double summation! (Interchange order of double summation)
Can I expand or regroup the sum? (Addition or subtraction of Sum)
Can we multiply two sums? (Distributive law for product)
Can I separate the Sum? (Domain Separation)
Can I put out only the last term?
How do I multiply a sum with a constant? (Constant Multiplication)
What is Telescoping Sum?
Is there any trick on the Sum of constants?
How do we code Sum in a program?
Tell me more about Useful summations (definite sums)…
Resources on Summation
Rate and give comment for this tutorial

Share and save this tutorial

This tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi. Summation Tutorial. http://people.revoledu.com/kardi/tutorial/basicmath/sum/