Energy and Gross National Product (new book of late prof. em. Ivo Kolin) Presenter:Sonja Koščak Kolin, MSc University of Zagreb Faculty of Mining, Geology.

Slides:

Advertisements

Similar presentations

Advertisements

Modeling of Data. Basic Bayes theorem Bayes theorem relates the conditional probabilities of two events A, and B: A might be a hypothesis and B might.

CA200 (based on the book by Prof. Jane M. Horgan)

Lesson 3: Buying Electricity.  MUST understand how electric current transfers energy  SHOULD calculate the cost of energy used  COULD use appropriate.

APPENDIX A Part of Solidarity’s submission to NERSA on the issue of Eskom’s proposed MYPD2 Municipal electricity redistributors’ price increases.

HYDROLOGY FOR ENGINEERING MANAGEMENT MSc

Economics of Power Generation Lecture 6. “”The art of determining the per unit (i.e., one kWh) cost of production of electrical energy is known as economics.

Ch Electricity IV. Measuring Electricity (p )  Electrical Power  Electrical Energy.

ELECTRICAL ENERGY. Old style Residential Electric Meter.

Exponential and Logarithmic Equations

EDPE_2013 Dubrovnik, Croatia 1 Problem of Obtaining Boost Converter Bifurcation Model for Hysteretic Behaviour Željko Stojanović Department of Electrical.

These materials are prepared only for the students enrolled in the course Distributed Software Development (DSD) at the Department of Computer.

Logarithmic and Exponential Equations

LOGS EQUAL THE The inverse of an exponential function is a logarithmic function. Logarithmic Function x = log a y read: “x equals log base a of y”

EQ: How do you use the properties of exponents and logarithms to solve equations?

4.4 Solving Exponential and Logarithmic Equations.

 If m & n are positive AND m = n, then  Can solve exponential equation by taking logarithm of each side of equation  Only works with base 10.

LIEN – Reporting Energy & CO 2 Emissions for Carbon Tax and Emissions Trading. Fuel Use and Distribution in Ireland.

Sullivan Algebra and Trigonometry: Section 6.5 Properties of Logarithms Objectives of this Section Work With the Properties of Logarithms Write a Log Expression.

1 Defining Quality – The Relevance of Field - specific Approaches to Quality Assurance in Higher Education Bonn 2-3 November European market of.

Notes Over 8.4 Rewriting Logarithmic Equations Rewrite the equation in exponential form.

Some of the best books of  &mid= A23D2FC75CD A23D2FC75CD7.

Laws of Logarithms 5.6. Laws of Logarithms O If M and N are positive real numbers and b is a positive number such that b  1, then O 1. log b MN = log.

Interpreting Real Gross Domestic Product

Logarithmic and Exponential Equations Solving Equations.

8.3-4 – Logarithmic Functions. Logarithm Functions.

Bell Work – November 3, Simplify: – What is the y-intercept of the line represented by y = ½ x + 4? 3. Divide: ½ ÷ ¾.

10/5/2009 These materials are prepared only for the students enrolled in the course Distributed Software Development (DSD) at the Department of Computer.

Kw and Temperature Energy+H 2 O ⇋ H + +OH o CKw=1.0 x Higher o CKw1.0 x

PRE-AP PRE-CALCULUS CHAPTER 3, SECTION 3 LOGARITHMIC FUNCTIONS AND THEIR GRAPHS

Notes Over 5.2 Rewriting Logarithmic Equations and Rewrite the equation in exponential form. are equivalent. Evaluate each logarithm.

Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms.

Electrical Calculations. Ohm’s law describes the relationship between current, resistance, and voltage. As voltage increase, current increases As resistance.

Logarithmic Functions

These materials are prepared only for the students enrolled in the course Distributed Software Development (DSD) at the Department of Computer.

1 These materials are prepared only for the students enrolled in the course Distributed Software Development (DSD) at the Department of Computer Science.

Solving Logarithmic Equations

Exponential and Logarithmic Equations

The following discussions contain certain “forward-looking statements” as defined by the Private Securities Litigation Reform Act of 1995 including, without.

These materials are prepared only for the students enrolled in the course Distributed Software Development (DSD) at the Department of Computer.

12.8 Exponential and Logarithmic Equations and Problem Solving Math, Statistics & Physics 1.

Property of Logarithms If x > 0, y > 0, a > 0, and a ≠ 1, then x = y if and only if log a x = log a y.

Introduction to Logarithms Chapter 8.4. Logarithmic Functions log b y = x if and only if b x = y.

240,000 20p + a SATMathVideos.Net A) 550 books B) 600 books C) 650 books D) 700 books 1,000 books sold in a month when the price was $10 per book. An equation.

Definition if and only if y =log base a of x Important Idea Logarithmic Form Exponential Form.

Simulink Mathematical Operations by Dr. Amin Danial Asham.

Algebra 1 Section 2.6 Use the distributive property Combine similar terms Note: 7(105) = 735 Also 7(100+5) 7(100) + 7(5) = 735 3(x+2) 3x + 3(2)

Bohr predicted that the energy of an electron in a hydrogen atom is E = - k ____ n 2 E is the energy of the e - k is the Bohr Constant, x

Warm Up WARM UP Evaluate the expression without using a calculator.

What we will do today State relationship between power, energy and time and carry out examples on this. State the different expressions for electrical.

Energy Management System for Hybrid Electric Vehicle

Logarithmic Functions

Unit 8 [7-3 in text] Logarithmic Functions

By: Michelle, Yeovani, Jalen

تهيئة الطالب مهنيا وتعميق معارفه . تنمية مهارات الطالب و قدراته .

Express the equation {image} in exponential form

IV. Measuring Electricity

Faculty of Food Technology and Biotechnology

بهداشت براي همه و مراقبت‌هاي بهداشتي اوّليه در ایران و جهان

5A.1 - Logarithmic Functions

Equation Review Given in class 10/4/13.

73 – Differential Equations and Natural Logarithms No Calculator

Exponential and Logarithmic Forms

Unit 3 Review (Calculator)

Assist. prof. Bojan Đurin, PhD

Equation Review.

Notes 7.3 : Calculating Electric Power + Electrical Energy

Calculate 9 x 81 = x 3 3 x 3 x 3 x 3 3 x 3 x 3 x 3 x 3 x 3 x =

Presentation transcript:

Energy and Gross National Product (new book of late prof. em. Ivo Kolin) Presenter:Sonja Koščak Kolin, MSc University of Zagreb Faculty of Mining, Geology and Petroleum Engineering 16 th Forum:Energy Day in Croatia November 23 rd, 2007 Presenter:Sonja Koščak Kolin, MSc University of Zagreb Faculty of Mining, Geology and Petroleum Engineering 16 th Forum:Energy Day in Croatia November 23 rd, 2007

Logarithmic product of Energy and GNP is constant for every state in the world!  = GROSS NATIONAL PRODUCT PER CAPITA PER ANNUM  U.S. $ / c,a   = ELECTRICITY PRODUCTION PER CAPITA PER ANNUM  kWh / c,a 

Calculation of Logarithmic Product for Italy Ivo Kolin ‘Energy and Gross National Product’

Energy calculations and predictions based on Logarithmic Product for Croatia Ivo Kolin ‘Energy and Gross National Product’ K = 0,25  o = kWh/c  o = USD/c x =  = kWh/c  = USD/c (100 %) x =  = kWh/c  = USD/c x =  = kWh/c  = USD/c (99 %) ALWAYS CONSTANT CHANGED THROUGH DIFFERENT PERIODS VALID IN PERIOD:

Ivo Kolin ‘Energy and Gross National Product’ Logarithmic Product calculations for each state in the world

 

5 parameters and 3 equations

Ivo Kolin ‘Energy and Gross National Product’

DISTRIBUTION OF 970 AUXILLIARY EXPRESSIONS BASED UPON 3 TYPES OF FUNCTIONS ( A, B, C ) APPLIED TO 5 MAIN PARAMETERS ( P, E, ε, G, γ ) OVER 6 CONTINENTS Ivo Kolin ‘Energy and Gross National Product’