The solution to this system of equations result in the values A= , B=, C= 0. Therefore, the
quadratic equation is, or it can also be rewritten as . By replacing the variable x with the variable
n, rep
Introduction to
Groundwater
Engineering
Click to edit Master subtitle style
Dulo S.O. - University of Nairobi
Email: [email protected]
Webpage: http:/www.uonbi.ac.ke
Fresh water of the hydroshere
Statistics&
ProbabilityAnalysis
Dulo S. O
University of Nairobi
Statistical measures
Location (Central
Tendency)
Mean
Median
Geometric mean
Spread (Dispersion)
Variance
Standard deviation
Interq
Intro to Unit Hydrograph
Presented by:
Dr. Michael Horst
Assistant Professor of Water Resources
The College of New Jersey
Unit Hydrograph Theory
Sherman (1932)
What is Unit Hydrograph Theory
Given
Urban Hydrology
Dulo S.O.
Department of Civil Engineering
A Simple look at urban
water systems
Water is drawn from Source to the
Water Treatment Plant. It is cleaned
and sent through the drinking
wate
CE 497/597Applied Hydrology
Lecture 9: Hydrologic Analysis-Time Area Method and
Unit Hydrograph
Time-Area
Method
Watershed Isochrone
Hyetographs
Time Area Histograms
Add and Lag Method
V. Sridhar,
1. Patterns:
1.1 Pattern 1:
1) The first and last element in nth row = 1
2) Fractions in nth row are symmetrical: E(i) = E(r-i), 1 i r/2
1.2 Pattern 2:
In each row, the number of elements is equal to
In this assignment, students are required to find patterns within a triangle of elements, which
look very similar to Pascals triangle. Pascals triangle is a triangle of numbers, commonly used
for bino
first and last term must be the numerator over itself. When r= 0, the denominator is the same as
the numerator, which means that the y-intercept of the quadratic equation must be the
numerator.
In ord
The quadratic equations shown in Figure 1 show that for each of the first seven rows:
And when y is replaced by the variable n, and x is replaced by the variable r:
, where
In this case, substitute th
In this triangle, it is much more difficult to predict the denominator, since it changes between
rows, and in each position within each row. In order to determine the denominators for the sixth
and se
ARCHBISHOP MACDONALD HIGH SCHOOL
LACSAP'S FRACTIONS
Received Date: December 07, 2012
Due Date: December 20, 2012
Abstract
This document presents the results of studying Lacsap's Fractions. The results
2. Finding the Numerator:
1. The numerators in each row are: 3, 6, 10, 15
2. Insert the row number in the L1 column for the x values
3. Insert the numerators in the L2 column for the y values
2.1 Grap
The solution to this system of equations result in the values A= , B=, C= 10. Therefore, the
quadratic equation is. By replacing the variable x with the variable r, representing the number of
the elem
4. Finding the General Statement:
4.1 General statement:
Let En(r) be the rth fraction in nth row.
For example: E4(2) = 10/6
Then, the general statement is:
En(r) =
4.2 Verify:
E5(3) =
E5(3) =
4.3 Cal
Introduction to
Groundwater
Engineering
Click to edit Master subtitle style
Dulo S.O. - University of Nairobi
Email: [email protected]
Webpage: http:/www.uonbi.ac.ke
Fresh water of the hydroshere