Boolean Laws for Set Theory
MW=A
Law of Double Negation
(AuB)=AnB
(AnB)=ALJB
De Morgans Laws
AUB=BUA
AB=BA
Commutative Laws
Auwum=mumuc
Anwn=MnmnC
Associative Laws
Anwum=MnmUMnm
Aownm=mumnmum
Distributive Laws
AUA=A
AAzA
Idempotent Law
Estimation of a Random Variables possible value
When we have collected data from an experiment, we can now use statistical
estimation to determine the likely value of such variable when a future observation is to be
performed.
Statistical inference consis
SET
THEORY
IMEMATH
Outline
History
Definitions
and
Notations
Set
Operations
SET THEORY
IMEMATH
SET
THEORY
IMEMATH
Outline
History
Definitions
and
Notations
Set
Operations
SET
THEORY
IMEMATH
Outline
History
1 History
Definitions
and
Notations
Set
Operation
METHODS
OF
PROOF,
MATHEMATICAL
INDUCTION,
PREDICATES
AND
QUANTIFIERS
IMEMATH
Outline
Methods of
Proof
Mathematical
Induction
Predicates
and
Quantifiers
METHODS OF PROOF,
MATHEMATICAL INDUCTION,
PREDICATES AND QUANTIFIERS
IMEMATH
METHODS
OF
PROOF,
MATHEMAT
MATHEMATICAL PROVING EXERCISES
I. Prove the following:
1. For all integers k and l, if k and l are both even, then k + l is even.
2. If m is an even integer, then m + 7 is odd.
II. Prove each of the following by mathematical induction.
n(2n 1)(2n + 1)
3
n
INTRODUCTION
TO LOGIC
IMEMATH
Outline
History
Introduction
to Propositional
Logic
Logical
Equivalence
and
Tautologies
Rules of
Inference
Invalid
Arguments
INTRODUCTION TO LOGIC
IMEMATH
INTRODUCTION
TO LOGIC
IMEMATH
Outline
History
Introduction
to Proposit
Two Independent Sample Problem in Statistical Inference
Two materials are being compared for their heating capacity measured in increase in temperature after
15 minutes of a standard heating process. Ten samples of material 1 was made and eleven of materi
OTTO CYCLE
Objective: Explain what is the Otto
cycle, how it works and application
By: Jonathan Tang
Otto Cycle
Also known as 4 stroke cycle in technical
terms
A Cycle used in internal combustion
engines
The first such engine was built by the
German eng
DE LA SALLE UNIVERSITY
College Of Engineering
Industrial Engineering Department
Course: LBYIMEA (Advanced Quantitative Methods-Laboratory)
Co-requisite: QUAMET2 (Advanced Quantitative Methods-Lecture)
Soft Prerequisite to: None
Hard Prerequisite to: LBYIM
Michaela Mendiola
PLATFORM
Committee member training and simulation
modules/presentations on how to properly contact companies for solicitation
sales simulation for proper marketing of events and IMES
more ecient and eective work from members
Part
RUNS TEST for Randomness of a series of data
From http:/www.real-statistics.com/statistics-tables/runs-test-table/
for two-tailed test for number of runs at 5% level of significance.
Accept null hypothesis Ho (number of Runs is random) iff the number of r
Visual Sense and
Illumination Analysis
I am the first you ever saw,
what greets you every
morning and what goes out in
the end.
Im often used at night but Im not a pillow
Im usually made of glass and metal but Im not a
mirror
I have electricity flowing th
Noise at Work
Awareness of Noise and
Hearing Protection in the
University of Sheffield
Scope of the Problem
In the UK there are
over 170,000 people
with significant
work-related hearing
damage
14,200 are serious
enough affected to
receive disablement
bene
WHAT IS CSO GCA?
The CSO Green Card Alliance (CSO GCA) is an annual project
of the Council of Student Organizations (CSO) that ties all
the members of the 42 student organizations in DLSU
Manila and DLSU Science and Technology Complex (DLSU
STC) with par
Ways for financial management of students in De La Salle University Dasmarinas
1. How much is your allowance per week?
_
2. How much money do you spend per day?
o P0 - P100
o P101 - P200
o P201 - P300
o P301 - P400
o More than P401
3. What do you usually
I.
Efficiency of robots compared to humans in terms of manual labor
1. What is the topic about?
The topic focuses on the difference between robots and humans. The
major difference of these two is that robots are non-living things while humans
are living t
Electronic learning, or e-learning, is the method of teaching and learning that uses
electronic media, but not limited to electronic devices. According to Oye, Iahad, Madas, & Ab
Rahim (2012), it uses information and communication technology such as the i
Mendiola, Maria Michaela B.
Thermodynamics1
Report No. 1
July 20, 2017
Basic Thermodynamic Cycles and Their Applications
Thermodynamic cycles are processes that involve the transference of heat and work into
and out of the system by varying pressure, temp
DE LA SALLE UNIVERSITY
College of Science
Department of Mathematics
COMALGE College Algebra for Business and Economics Students
Prerequisite:
Instructor:_
Consultation Hours:_
Prerequisite to: BUSANA1
Contact details:_
Class Schedule and Room:_
Course Des
Shearing, Bearing, and
Allowable Stresses
MEDEFOR
Shearing Stress
Tangential Stress
Applied loads cause one
section of a body to
slide past its adjacent
section
=
Shearing Stress
Components of
Internal Effects on a
cross-section
Axial Force
Shearing
Strain and Deformation
MEDEFOR
Displacement and Deformation
Displacement
Absolute movement of a point
with respect to a fixed
reference frame
Body as a whole moves without
changing shape
Motion of rigid bodies
Deformation
Relative movement with
respec
Axial Stresses
MEDEFOR
Simple Stresses
Intensity of the internal
force on a specific plane
area passing thru a point
=
Axial (or Normal) Stress
Compressive
Tensile
Thermal
Shearing Stress
Single / Double
Punching
Bearing Stress
Axial Stresses
Inten
Axial Loading
MEDEFOR
Saint-Venants Principle
Behavior of strain near points of load application
Both the localized deformation and stress which occur within the regions
of load application or at the supports tend to even out at a distance
(equal to the
Orientation
Mechanics of Deformable Bodies (MEDEFOR)
About the Course
Study of the external and internal effects of
forces and other environmental factors on
deformable bodies
Essential mainly in designing various types of
structures and machines
Topics
Mechanical Properties
of Materials
MEDEFOR
Tension and Compression Test
Hookes Law
Tensile/Compressive
=
Shear
=
Poissons Ratio
lat
=
= =
long
=
2(1 + )
Bi-axial Stress Condition
Extension of Hookes Law by
introduction of Poissons Ratio
= ; =
=
+
De La Salle University
Ramon V. del Rosario
College of Business
In Partial Fulfillment of the
Course Requirements for
ENGLRES C35
Research Paper:
The Impact of of Packaging design on teenage consumers
Submitted by:
Guillermo, Mark Paulo G.
Herrera, Rovih