The document defines the prefixes used in the metric system for expressing units of measurement. It provides the prefix, its abbreviation, what it refers to as a power of 10, and examples of uses. The prefixes covered are mega, kilo, deci, centi, milli, micro, nano, pico, and femto. Larger prefixes like mega refer to multiples of millions while smaller prefixes like pico and femto refer to fractions of units. Examples are given for measurements of length, mass, frequency, and sizes of microscopic objects.
Quantities, Units, Order of Magnitude, Estimations.pptxAizereSeitjan
1. The document discusses physical quantities and units in the International System of Units (SI), including base units like meters, kilograms, and seconds.
2. It describes scientific notation and prefixes like milli, centi, and kilo that are used to indicate multiples or fractions of units.
3. Examples are provided for estimating quantities by their order of magnitude rather than precise values, such as distances in the solar system or ages of astronomical objects.
The document discusses metric prefixes that are used to modify units of measurement and make large or small quantities more manageable. It explains that prefixes like kilo (k), centi (c), and milli (m) multiply the base unit by factors of 1000, 100, and 1000 respectively. For example, 1 centimeter (cm) is equal to 0.01 meters, 1 millimeter (mm) is equal to 0.001 meters, and 1 kilometer (km) is equal to 1000 meters. The document provides a table of common metric prefixes and their scientific notation abbreviations to help memorize the system and properly apply prefixes when modifying units of measurement.
This document introduces various topics in physics including forces, motion, heat, light, waves, electricity, electromagnetism, electronics, and radioactivity. It discusses base and derived units used to measure and quantify physical properties and phenomena. These include units for length, mass, time, electric current, temperature, and more. It also provides examples of measurements and calculations involving these units.
Infrared spectroscopy involves measuring the absorption or emission of electromagnetic radiation by molecules as they undergo transitions between different energy states. Infrared spectroscopy analyzes the infrared region of the electromagnetic spectrum, where molecules absorb radiation based on the vibrational and rotational motions of their bonds. The positions and intensities of absorption bands in an infrared spectrum provide information about the types of bonds in a molecule and can be used to determine its structure.
This document provides an overview of topics in inorganic chemistry measurements including:
1) Scientific notation for expressing very large and small numbers
2) Significant figures rules for determining the precision of measurements
3) Conversion of units between different measurement systems like centimeters to kilometers using prefixes
4) Density calculations involving mass, volume, and unit conversions
The document includes examples and practice problems for each topic to illustrate concepts like significant figures, unit conversions using prefixes, and calculating density from mass and volume.
The document discusses fundamental units in classical mechanics and provides examples of physical quantities measured in SI units. It introduces the seven base units of the International System of Units (SI) - meter, kilogram, second, ampere, kelvin, mole, and candela. Derived units like newton, joule, watt, and ohm are also mentioned. Standard prefixes are defined to denote multiples of ten when measuring very large or small quantities.
The document discusses thermodynamics, dimensions and units, and fundamental concepts of thermodynamics. It defines thermodynamics as the science of energy, and discusses the conservation of energy principle and the first law of thermodynamics. It also defines dimensions as characteristics of physical quantities, and primary and secondary dimensions. Finally, it provides examples of converting between different units for dimensions like length, mass, time, and others.
Quantities, Units, Order of Magnitude, Estimations.pptxAizereSeitjan
1. The document discusses physical quantities and units in the International System of Units (SI), including base units like meters, kilograms, and seconds.
2. It describes scientific notation and prefixes like milli, centi, and kilo that are used to indicate multiples or fractions of units.
3. Examples are provided for estimating quantities by their order of magnitude rather than precise values, such as distances in the solar system or ages of astronomical objects.
The document discusses metric prefixes that are used to modify units of measurement and make large or small quantities more manageable. It explains that prefixes like kilo (k), centi (c), and milli (m) multiply the base unit by factors of 1000, 100, and 1000 respectively. For example, 1 centimeter (cm) is equal to 0.01 meters, 1 millimeter (mm) is equal to 0.001 meters, and 1 kilometer (km) is equal to 1000 meters. The document provides a table of common metric prefixes and their scientific notation abbreviations to help memorize the system and properly apply prefixes when modifying units of measurement.
This document introduces various topics in physics including forces, motion, heat, light, waves, electricity, electromagnetism, electronics, and radioactivity. It discusses base and derived units used to measure and quantify physical properties and phenomena. These include units for length, mass, time, electric current, temperature, and more. It also provides examples of measurements and calculations involving these units.
Infrared spectroscopy involves measuring the absorption or emission of electromagnetic radiation by molecules as they undergo transitions between different energy states. Infrared spectroscopy analyzes the infrared region of the electromagnetic spectrum, where molecules absorb radiation based on the vibrational and rotational motions of their bonds. The positions and intensities of absorption bands in an infrared spectrum provide information about the types of bonds in a molecule and can be used to determine its structure.
This document provides an overview of topics in inorganic chemistry measurements including:
1) Scientific notation for expressing very large and small numbers
2) Significant figures rules for determining the precision of measurements
3) Conversion of units between different measurement systems like centimeters to kilometers using prefixes
4) Density calculations involving mass, volume, and unit conversions
The document includes examples and practice problems for each topic to illustrate concepts like significant figures, unit conversions using prefixes, and calculating density from mass and volume.
The document discusses fundamental units in classical mechanics and provides examples of physical quantities measured in SI units. It introduces the seven base units of the International System of Units (SI) - meter, kilogram, second, ampere, kelvin, mole, and candela. Derived units like newton, joule, watt, and ohm are also mentioned. Standard prefixes are defined to denote multiples of ten when measuring very large or small quantities.
The document discusses thermodynamics, dimensions and units, and fundamental concepts of thermodynamics. It defines thermodynamics as the science of energy, and discusses the conservation of energy principle and the first law of thermodynamics. It also defines dimensions as characteristics of physical quantities, and primary and secondary dimensions. Finally, it provides examples of converting between different units for dimensions like length, mass, time, and others.
This document is a handbook of formulae and physical constants for use by students and examination candidates in power engineering. It contains tables of SI and imperial units for distance, area, volume, mass, density, and other physical quantities. It also lists common conversion factors between metric and imperial units as well as density and specific gravity values for various substances.
This document provides formulas, constants, and conversions for various scientific and engineering topics. It includes sections on SI and imperial units for distance, area, volume, mass, density, and other physical quantities. It also includes mathematical formulas, trigonometry, geometry, mechanics, thermodynamics, fluid mechanics, and electricity. The document is intended for use by students and examination candidates as a reference for various physical constants and engineering formulae.
This document provides formulas, constants, and conversions for various scientific and engineering topics. It includes sections on SI and imperial units for distance, area, volume, mass, density, and other physical quantities. It also includes mathematical formulas, trigonometry, geometry, mechanics, thermodynamics, fluid mechanics, and electricity. The document is intended for use by students and examination candidates as a reference for various physical constants and formulae.
The document discusses physics and chemistry, comparing what they have in common (studying matter) and what makes them different (physics studies phenomena that don't change matter composition, while chemistry studies phenomena that do change composition). It then provides an overview of the scientific method, including making observations and asking questions, developing hypotheses to test, conducting controlled experiments, analyzing results, and drawing conclusions. Finally, it covers scientific concepts like units, measurements, errors, and notation.
Measurement and analysis of data has been essential in science since ancient times. The Sumerians and Egyptians were the first to devise standardized measurement units like feet and cubits. In 1700, French scientists developed the metric system which uses the meter as its base unit of length. The International System of Units (SI) was later adopted, which is based on multiples of 10 and includes basic units like kilograms, meters, and seconds. Scientific notation is used to conveniently write very large or small numbers with coefficients between 1 and 10 and exponential bases.
This document discusses units of measurement and conversions in physics. It introduces the International System of Units (SI) which standardizes the basic units used to measure length, mass, time, temperature, electric current, luminous intensity, and amount of substance. Derived units are also discussed, along with common prefixes used to denote powers of ten when measuring larger or smaller quantities. Examples are provided for unit conversions between kilometers and meters, and kilometers per hour and meters per second. The document also differentiates between accuracy and precision in measurements.
Physics is the study of forces and matter. It investigates the fundamental laws of nature through studying some of the largest and smallest scales in the universe. The document discusses several key topics in physics including:
- The most influential physicists like Einstein, Newton, Maxwell, and Galileo who pioneered different areas of classical and modern physics.
- The Standard International (SI) system of units used in physics like meters, seconds, kilograms, which may be expressed in scientific notation or with prefixes when dealing with very large or small numbers.
- Concepts of derived units that are combinations of fundamental units, and the process of dimensional analysis to check the validity of equations.
- Examples of converting between different
Modeling Subsurface Heterogeneity by Coupled Markov Chains: Directional Depen...Amro Elfeki
Elfeki, A. M. and Dekking F. M. (2005). Modeling Subsurface Heterogeneity by Coupled Markov Chains: Directional Dependency, Walther’s Law and Entropy. Journal of Geotechnical and Geological Engineering, Vol. 23: pp.721-756.
This document provides an overview of key concepts in chemistry including definitions of matter, physical and chemical properties, states of matter, and energy. It discusses the scientific approach of developing models through observation, hypothesis, experimentation, and further testing. Measurement concepts such as units, conversions, uncertainty, and significant figures are explained. Examples demonstrate solving problems involving unit conversions, density calculations, and determining the number of significant figures. Fundamental chemistry topics like the periodic table, bonding, and reactions are introduced.
This document outlines the course topics for a Physics for Engineers course. The topics include measurements, motion, forces, momentum, energy, rotation, gravitation, and fluids. Measurements are discussed in detail, including physical quantities, standards and units like the International System of Units (SI). The base SI units for common physical quantities like time, length, mass, temperature and more are defined. Prefixes for metric units and examples of measured values for various physical quantities are provided. Proper representation of measurements and significant figures is also covered.
The document discusses physical quantities and measurements in the International System of Units (SI). It provides definitions and histories of the seven base SI units - the kilogram, meter, second, ampere, kelvin, mole, and candela. It also lists 22 derived units and their relationships to the base units. The document explains scientific notation, unit prefixes, and rules for writing SI units. It gives examples of converting between units.
This document summarizes an implementation of economic gas-like models to analyze the influence of underlying network topologies. It introduces random symmetric and directed exchange rules for money transfers between agents. For random symmetric exchanges on networks like complete graphs, spatial networks, and scale-free networks, the money distribution converges to a Boltzmann-Gibbs form and is robust to network structure. A model with uniform savings is also introduced, where the money distribution takes a gamma-like form.
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Physics deals with the study of matter, energy, and their interactions. It explains physical phenomena in the universe through branches like classical physics, which studies mechanics, optics, acoustics, thermodynamics, and electromagnetism. Measurement is central to physics and uses systems like the metric system, with fundamental SI units of meters, kilograms, seconds, and others. Physical quantities can be fundamental, like length and time, or derived from fundamental quantities.
This document describes the implementation and performance of multiple coulomb scattering (MCS) for measuring muon momentum in the MicroBooNE experiment. MCS is used to determine the momentum of muons that exit the detector volume and cannot be measured by range. It works by segmenting muon tracks and calculating the angular deflections between segments. A maximum likelihood method is then used to determine the momentum that best fits the measured deflections. When tested on simulation, MCS achieves a resolution of 10-20% for contained muons and 20-30% for exiting muons. Limitations include a minimum track length cut of 100 cm required for accuracy. Application to real MicroBooNE data shows similar performance within 15% for contained muons compared
Robust model predictive control for discrete-time fractional-order systemsPantelis Sopasakis
In this paper we propose a tube-based robust model predictive control scheme for fractional-order discrete-
time systems of the Grunwald-Letnikov type with state and input constraints. We first approximate the infinite-dimensional fractional-order system by a finite-dimensional linear system and we show that the actual dynamics can be approximated arbitrarily tight. We use the approximate dynamics to design a tube-based model predictive controller which endows to the controlled closed-loop system robust stability properties
This document discusses physics and physical measurements. It introduces physics as the study of natural phenomena and how it can be expressed through mathematical equations. It then discusses the International System of Units (SI) which provides standardized units for measurements like length, mass and time. Examples are given for typical distances, masses and times using SI units and order of magnitude estimates. The document also covers dimensional analysis, significant figures, unit conversions and expressing measurements with uncertainties.
This document is a handbook of formulae and physical constants for use by students and examination candidates in power engineering. It contains tables of SI and imperial units for distance, area, volume, mass, density, and other physical quantities. It also lists common conversion factors between metric and imperial units as well as density and specific gravity values for various substances.
This document provides formulas, constants, and conversions for various scientific and engineering topics. It includes sections on SI and imperial units for distance, area, volume, mass, density, and other physical quantities. It also includes mathematical formulas, trigonometry, geometry, mechanics, thermodynamics, fluid mechanics, and electricity. The document is intended for use by students and examination candidates as a reference for various physical constants and engineering formulae.
This document provides formulas, constants, and conversions for various scientific and engineering topics. It includes sections on SI and imperial units for distance, area, volume, mass, density, and other physical quantities. It also includes mathematical formulas, trigonometry, geometry, mechanics, thermodynamics, fluid mechanics, and electricity. The document is intended for use by students and examination candidates as a reference for various physical constants and formulae.
The document discusses physics and chemistry, comparing what they have in common (studying matter) and what makes them different (physics studies phenomena that don't change matter composition, while chemistry studies phenomena that do change composition). It then provides an overview of the scientific method, including making observations and asking questions, developing hypotheses to test, conducting controlled experiments, analyzing results, and drawing conclusions. Finally, it covers scientific concepts like units, measurements, errors, and notation.
Measurement and analysis of data has been essential in science since ancient times. The Sumerians and Egyptians were the first to devise standardized measurement units like feet and cubits. In 1700, French scientists developed the metric system which uses the meter as its base unit of length. The International System of Units (SI) was later adopted, which is based on multiples of 10 and includes basic units like kilograms, meters, and seconds. Scientific notation is used to conveniently write very large or small numbers with coefficients between 1 and 10 and exponential bases.
This document discusses units of measurement and conversions in physics. It introduces the International System of Units (SI) which standardizes the basic units used to measure length, mass, time, temperature, electric current, luminous intensity, and amount of substance. Derived units are also discussed, along with common prefixes used to denote powers of ten when measuring larger or smaller quantities. Examples are provided for unit conversions between kilometers and meters, and kilometers per hour and meters per second. The document also differentiates between accuracy and precision in measurements.
Physics is the study of forces and matter. It investigates the fundamental laws of nature through studying some of the largest and smallest scales in the universe. The document discusses several key topics in physics including:
- The most influential physicists like Einstein, Newton, Maxwell, and Galileo who pioneered different areas of classical and modern physics.
- The Standard International (SI) system of units used in physics like meters, seconds, kilograms, which may be expressed in scientific notation or with prefixes when dealing with very large or small numbers.
- Concepts of derived units that are combinations of fundamental units, and the process of dimensional analysis to check the validity of equations.
- Examples of converting between different
Modeling Subsurface Heterogeneity by Coupled Markov Chains: Directional Depen...Amro Elfeki
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This document provides an overview of key concepts in chemistry including definitions of matter, physical and chemical properties, states of matter, and energy. It discusses the scientific approach of developing models through observation, hypothesis, experimentation, and further testing. Measurement concepts such as units, conversions, uncertainty, and significant figures are explained. Examples demonstrate solving problems involving unit conversions, density calculations, and determining the number of significant figures. Fundamental chemistry topics like the periodic table, bonding, and reactions are introduced.
This document outlines the course topics for a Physics for Engineers course. The topics include measurements, motion, forces, momentum, energy, rotation, gravitation, and fluids. Measurements are discussed in detail, including physical quantities, standards and units like the International System of Units (SI). The base SI units for common physical quantities like time, length, mass, temperature and more are defined. Prefixes for metric units and examples of measured values for various physical quantities are provided. Proper representation of measurements and significant figures is also covered.
The document discusses physical quantities and measurements in the International System of Units (SI). It provides definitions and histories of the seven base SI units - the kilogram, meter, second, ampere, kelvin, mole, and candela. It also lists 22 derived units and their relationships to the base units. The document explains scientific notation, unit prefixes, and rules for writing SI units. It gives examples of converting between units.
This document summarizes an implementation of economic gas-like models to analyze the influence of underlying network topologies. It introduces random symmetric and directed exchange rules for money transfers between agents. For random symmetric exchanges on networks like complete graphs, spatial networks, and scale-free networks, the money distribution converges to a Boltzmann-Gibbs form and is robust to network structure. A model with uniform savings is also introduced, where the money distribution takes a gamma-like form.
Physics - Introduction, Branches and Basic IdeasRolly Franco
Physics deals with the study of matter, energy, and their interactions. It explains physical phenomena in the universe through branches like classical physics, which studies mechanics, optics, acoustics, thermodynamics, and electromagnetism. Measurement is central to physics and uses systems like the metric system, with fundamental SI units of meters, kilograms, seconds, and others. Physical quantities can be fundamental, like length and time, or derived from fundamental quantities.
This document describes the implementation and performance of multiple coulomb scattering (MCS) for measuring muon momentum in the MicroBooNE experiment. MCS is used to determine the momentum of muons that exit the detector volume and cannot be measured by range. It works by segmenting muon tracks and calculating the angular deflections between segments. A maximum likelihood method is then used to determine the momentum that best fits the measured deflections. When tested on simulation, MCS achieves a resolution of 10-20% for contained muons and 20-30% for exiting muons. Limitations include a minimum track length cut of 100 cm required for accuracy. Application to real MicroBooNE data shows similar performance within 15% for contained muons compared
Robust model predictive control for discrete-time fractional-order systemsPantelis Sopasakis
In this paper we propose a tube-based robust model predictive control scheme for fractional-order discrete-
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This document discusses physics and physical measurements. It introduces physics as the study of natural phenomena and how it can be expressed through mathematical equations. It then discusses the International System of Units (SI) which provides standardized units for measurements like length, mass and time. Examples are given for typical distances, masses and times using SI units and order of magnitude estimates. The document also covers dimensional analysis, significant figures, unit conversions and expressing measurements with uncertainties.
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+
53.13485
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with a host spectroscopic redshift of
2.903
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0.007
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12. mega- M Mm 1x106 (1 million)
kilo- k km 1x103 (1000)
deci- d dm 1x10-1 (1/10)
centi- c cm 1x10-2 (1/100)
milli- m mm 1x10-3 (1/1000)
micro- m mm 1x10-6 (1 millionth)
nano- n nm 1x10-9 (1 billionth)
pico- p pm 1x10-12 (1 trillionth)
Metric System Prefixes
32. Metric System Prefixes
Pico-
The sizes of atoms are
measured in picometers.
mega- = 1x106 (1 million)
kilo- = 1x103 (1000)
deci- = 1x10-1 (1/10)
centi- = 1x10-2 (1/100)
milli- = 1x10-3 (1/1000)
micro- = 1x10-6 (1 millionth)
nano- = 1x10-9 (1 billionth)
pico- = 1x10-12 (1 trillionth)
33. Metric System Prefixes
Pico-
The sizes of atoms are
measured in picometers.
mega- = 1x106 (1 million)
kilo- = 1x103 (1000)
deci- = 1x10-1 (1/10)
centi- = 1x10-2 (1/100)
milli- = 1x10-3 (1/1000)
micro- = 1x10-6 (1 millionth)
nano- = 1x10-9 (1 billionth)
pico- = 1x10-12 (1 trillionth)
34. Metric System Prefixes
Femto-
The sizes of the nuclei of
atoms are measured in
femtometers.
1x10-15
mega- = 1x106 (1 million)
kilo- = 1x103 (1000)
deci- = 1x10-1 (1/10)
centi- = 1x10-2 (1/100)
milli- = 1x10-3 (1/1000)
micro- = 1x10-6 (1 millionth)
nano- = 1x10-9 (1 billionth)
pico- = 1x10-12 (1 trillionth)
35. Metric System Prefixes
Femto- Consider an atom which may be
400 pm across, but the nucleus is
less than 20 fm in diameter.
1x10-15
mega- = 1x106 (1 million)
kilo- = 1x103 (1000)
deci- = 1x10-1 (1/10)
centi- = 1x10-2 (1/100)
milli- = 1x10-3 (1/1000)
micro- = 1x10-6 (1 millionth)
nano- = 1x10-9 (1 billionth)
pico- = 1x10-12 (1 trillionth)
36. Metric System Prefixes
Femto- Consider an atom which may be
400 pm across, but the nucleus is
less than 20 fm in diameter.
1x10-15
The nucleus is 20,000 times smaller than an atom!
mega- = 1x106 (1 million)
kilo- = 1x103 (1000)
deci- = 1x10-1 (1/10)
centi- = 1x10-2 (1/100)
milli- = 1x10-3 (1/1000)
micro- = 1x10-6 (1 millionth)
nano- = 1x10-9 (1 billionth)
pico- = 1x10-12 (1 trillionth)
37. Metric System Prefixes
Femto- If we put a dime on the floor to
represent the diameter of the
nucleus, then the edge of the atom
would be about 200 meters away.
1x10-15
17.91 mm
mega- = 1x106 (1 million)
kilo- = 1x103 (1000)
deci- = 1x10-1 (1/10)
centi- = 1x10-2 (1/100)
milli- = 1x10-3 (1/1000)
micro- = 1x10-6 (1 millionth)
nano- = 1x10-9 (1 billionth)
pico- = 1x10-12 (1 trillionth)
38. mega- M Mm 1x106 (1 million)
kilo- k km 1x103 (1000)
deci- d dm 1x10-1 (1/10)
centi- c cm 1x10-2 (1/100)
milli- m mm 1x10-3 (1/1000)
micro- m mm 1x10-6 (1 millionth)
nano- n nm 1x10-9 (1 billionth)
pico- p pm 1x10-12 (1 trillionth)
Metric System Prefixes