Propargylimine in the Laboratory and in Space: Millimetre-Wave Spectroscopy and Its First Detection in The
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The Not So Short Introduction to Latex2ε
The Not So Short Introduction to LATEX 2ε Or LATEX 2ε in 139 minutes by Tobias Oetiker Hubert Partl, Irene Hyna and Elisabeth Schlegl Version 4.20, May 31, 2006 ii Copyright ©1995-2005 Tobias Oetiker and Contributers. All rights reserved. This document is free; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This document is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this document; if not, write to the Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. Thank you! Much of the material used in this introduction comes from an Austrian introduction to LATEX 2.09 written in German by: Hubert Partl <[email protected]> Zentraler Informatikdienst der Universität für Bodenkultur Wien Irene Hyna <[email protected]> Bundesministerium für Wissenschaft und Forschung Wien Elisabeth Schlegl <noemail> in Graz If you are interested in the German document, you can find a version updated for LATEX 2ε by Jörg Knappen at CTAN:/tex-archive/info/lshort/german iv Thank you! The following individuals helped with corrections, suggestions and material to improve this paper. They put in a big effort to help me get this document into its present shape. -
It's a Nano World
IT’S A NANO WORLD Learning Goal • Nanometer-sized things are very small. Students can understand relative sizes of different small things • How Scientists can interact with small things. Understand Scientists and engineers have formed the interdisciplinary field of nanotechnology by investigating properties and manipulating matter at the nanoscale. • You can be a scientist DESIGNED FOR C H I L D R E N 5 - 8 Y E A R S O L D SO HOW SMALL IS NANO? ONE NANOMETRE IS A BILLIONTH O F A M E T R E Nanometre is a basic unit of measurement. “Nano” derives from the Greek word for midget, very small thing. If we divide a metre by 1 thousand we have a millimetre. One thousandth of a millimetre is a micron. A thousandth part of a micron is a nanometre. MACROSCALE OBJECTS 271 meters long. Humpback whales are A full-size soccer ball is Raindrops are around 0.25 about 14 meters long. 70 centimeters in diameter centimeters in diameter. MICROSCALE OBJECTS The diameter of Pollen, which human hairs ranges About 7 micrometers E. coli bacteria, found in fertilizes seed plants, from 50-100 across our intestines, are can be about 50 micrometers. around 2 micrometers micrometers in long. diameter. NANOSCALE OBJECTS The Ebola virus, The largest naturally- which causes a DNA molecules, which Water molecules are occurring atom is bleeding disease, is carry genetic code, are 0.278 nanometers wide. uranium, which has an around 80 around 2.5 nanometers atomic radius of 0.175 nanometers long. across. nanometers. TRY THIS! Mark your height on the wall chart. -
Introducyon to the Metric System Bemeasurement, Provips0.Nformal, 'Hands-On Experiences For.The Stud4tts
'DOCUMENT RESUME ED 13A 755 084 CE 009 744 AUTHOR Cáoper, Gloria S., Ed.; Mag4,sos Joel B., Ed. TITLE q Met,rits for.Theatrical COstum g: ° INSTITUTION Ohio State Univ., Columbus. enter for Vocational Education. SPONS AGENCY Ohio State Univ., Columbus. Center for.Vocational Education. PUB DATE 76 4. CONTRACT - OEC-0-74-9335 NOTE 59p.1 For a. related docuMent see CE 009 736-790 EDRS PRICE 10-$0.8.3 C-$3.50 Plus Pdstage: DESCRIPTORS *Curriculu; Fine Arts; Instructional Materials; Learning. ctivities;xMeasurement.Instrnments; *Metric, System; S condary Education; Teaching Technigue8; *Theater AttS; Units of Sttidy (Subject Fields) ; , *Vocational Eiducation- IDENTIFIERS Costumes (Theatrical) AESTRACT . Desigliedto meet tbe job-related m4triceasgrement needs of theatrical costuming students,'thiS instructio11 alpickage is one of live-for the arts and-huminities occupations cluster, part of aset b*: 55 packages for:metric instrection in diftepent occupations.. .The package is in'tended for students who already knovthe occupaiiOnal terminology, measurement terms, and tools currently in use. Each of the five units in this instructional package.contains performance' objectiveS, learning:Activities, and'supporting information in-the form of text,.exertises,- ard tabled. In. add±tion, Suggested teaching technigueS are included. At the'back of the package*are objective-base'd:e"luation items, a-page of answers to' the exercises,and tests, a list of metric materials ,needed for the ,activities4 references,- and a/list of supPliers.t The_material is Y- designed. to accVmodate awariety of.individual teacting,:and learning k. styles, e.g., in,dependent:study, small group, or whole-class Setivity. -
Table of Contents
Table of Contents Teaching and Learning The Metric System Unit 1 1 - Suggested Teaching Sequence 1 - Objectives 1 - Rules of Notation 1 - Metric Units, Symbols, and Referents 2 - Metric Prefixes 2 - Linear Measurement Activities 3 - Area Measurement Activities 5 - Volume Measurement Activities 7 - Mass (Weight) Measurement Activities 9 - Temperature Measurement Activities 11 Unit 2 12 - Objectives 12 - Suggested Teaching Sequence 12 - Metrics in this Occupation 12 - Metric Units For Nursing Aides 13 - Trying Out Metric Units 14 - Aiding With Metrics 15 Unit 3 16 - Objective 16 - Suggested Teaching Sequence 16 - Metric-Metric Equivalents 16 - Changing Units at Work 18 Unit 4 19 - Objective 19 - Suggested Teaching Sequence 19 - Selecting and Using Metric Instruments, Tools and Devices 19 - Which Tools for the Job? 20 - Measuring Up in Nursing 20 Unit 5 21 - Objective 21 - Suggested Teaching Sequence 21 - Metric-Customary Equivalents 21 - Conversion Tables 22 - Any Way You Want It 23 Testing Metric Abilities 24 Answers to Exercises and Test 25 Temperature 26 Tools and Devices List References metrics for nurses aides TEACHING AND LEARNING THE METRIC SYSTEM This metric instructional package was designed to meet job-related Unit 2 provides the metric terms which are used in this occupation metric measurement needs of students. To use this package students and gives experience with occupational measurement tasks. should already know the occupational terminology, measurement terms, and tools currently in use. These materials were prepared with Unit 3 focuses on job-related metric equivalents and their relation the help of experienced vocational teachers, reviewed by experts, tested ships. in classrooms in different parts of the United States, and revised before distribution. -
Measuring the World Music and Lyrics by Graeme Thompson
Mathematical Melodies Measuring the World Music and Lyrics by Graeme Thompson Measuring the World A foot has 12 inches A foot has 5 toes A foot has 30 centimeters As your ruler knows 1 foot 12 inches 30 centimeters ruler knows We’re measuring the world Your little pinkie finger Is a centimeter wide A meter has one hundred centimeters stored inside 1 meter one hundred centimeters all a pinkie wide We’re measuring the world A kilometer is one thousand Meters laid out straight We use them when the distance We are measuring is great 1 kilometer is 1000 meters laid out side by side We’re measuring the world A millimeters less than A centimeter long 10 millimeters And your centimeters strong 10 millimeters are a centimeter long We’re measuring the world Measuring the World 1 Measuring the World Junior: Grade 5 and Grade 6 The Big Ideas Curriculum Connections Measurement Teaching metric conversion Measurement Relationships can be particularly tricky. Grade 5 • select and justify the most appropriate Creating opportunities for standard unit (i.e., millimetre, students to practice purposeful conversion is centimetre, decimetre, metre, kilometre) to the key. Helping students engage through measure length, activities that are meaningful and encourage height, width, and decision making around picking which unit to distance, and to measure the perimeter use in a reasonable way is helpful. Pointing of various polygons; out common or practical uses for metric • solve problems requiring conversion from metres to centimetres and conversion in the students‘ daily lives from kilometres to metres (Sample encourages problem solving and reinforces a problem: Describe the multiplicative relevant personal connection. -
1.0 GENERAL 1.1 Abbreviation/Symbol Meaning Μm Micrometre Or Micron Mm Millimetre M Metre Mm Or Mm2 Square Millimetre M Or M2 S
Section 01275 Alberta Transportation Measurement Rules Tender No. [ ] Page 1 1.0 GENERAL 1.1 MEASUREMENT SYSTEM .1 This section specifies the measurement rules that will generally be used for payment purposes unless otherwise specified in the Contract Documents. In case of conflict between the method of measurement specified in this section and the requirements specified in Section 01280 – Measurement Schedule, the latter will govern. .2 Work will be measured in the International System of Units (SI) in accordance with CAN/CSA–Z234.1–89 Canadian Metric Practice Guide. .3 When used in the Contract, the following abbreviations and symbols have the meaning assigned to them. Abbreviation/Symbol Meaning µm micrometre or micron mm millimetre m metre mm2 or mm2 square millimetre m2 or m2 square metre ha hectare kPa kilopascal MPa megapascal m3 or m3 cubic metre l (or where clarity is needed L) litre L.S. lump sum g gram kg kilogram N newton kN kilonewton t tonne no. number (quantity) min minute (time) h hour d day wk week % percent > greater than greater than or equal to < less than less than or equal to $ Canadian dollars ° degree (angle) °C degree Celsius Section 01275 Alberta Transportation Measurement Rules Tender No. [ ] Page 2 1.2 METHOD OF MEASUREMENT .1 Unless otherwise indicated in the Contract Documents: .1 earthwork materials will be measured net in place after compaction, with no allowance for bulking, shrinkage, compression, foundation settlement, or waste; .2 products will be measured net, with no allowance for waste; .3 dimensions used in calculating quantities will be rounded to the nearest unit of dimension as follows: Quantity Dimension [Volume of earth centimetre Volume of concrete millimetre Length of pipe centimetre Area of land decimetre [ ] [ ]] .4 the survey [station line] [station grid] system adopted will be at [10] [15] [20] [30] [100] linear metres spacing for measuring [ ], respectively; .5 contours may be based on aerial photograph interpretation and are approximate only. -
Measurements and Symbols Used in Plumbing 27
Measurements and 4 Symbols used in Plumbing INTRODUCTION In the previous Units, we have covered plumbing tools, material and pipes. Besides knowing the benefits and suitability of material in various tasks, a plumber must also be efficient in measurement of plumbing material with the help of measurement tools and be able to manage conversion of units easily. Similarly, a plumber should also be able to understand and read the various symbols used in plumbing drawings. Plumbing material is needed as per the requirement of the plumbing work to be done and its plan. Plumbing fitting and fixtures are available in the market in different sizes and types. The size of the plumbing items can vary from inch to feet and metre in height. Plumbing items are also available as per volumetric capacity like water tanks, storage and flush tank, etc. Knowledge of various dimensions and sizes of plumbing items is crucial in the proper selection and purchasing of plumbing material in the market. Unit 4.indd 26 8/7/2018 11:06:08 AM Fig. 4.1: Measuring scale MEASUREMENT OF LENGTH A plumber uses the metallic tape, cloth tape, scale and foot rule for measuring. Metallic tape should be used for accuracy in the measurement. Metre and its divisions are printed on the measuring tape. The symbol of feet is (′) and the symbol of inch is (″). For example, the meaning of 4′-9″ is four feet nine inches. Both the systems, i.e., metric system and FPS (Foot-Pound-Second) system are used in plumbing measurement. (a) In metric systems 1 metre = 10 decimetre (dm) 1 metre = -
TEACHING and LEARNING SEQUENCE | Engineering, Developing an Understanding of the Metric System
Engineering Developing an understanding of the metric system Content and alignment The metric measurement system is integrated into all aspects of engineering. Knowledge of the system and the ability to fluently move between units of measure, such as metres, centimetres and millimetres, is essential for learners pursuing a career in the engineering field. However, the system is often confusing for learners and this presents challenges for tutors delivering content in which a knowledge of the system is required. Intent The intent of this resource is to provide tutors with a teaching and learning sequence that introduces learners to the metric system in a way that leads to improved confidence and independence. This sequence emphasises the measure of length (metres, centimetres and millimetres), but can be used as a starting point for further learning in the areas of volume and mass. The sequence is suitable for learners who have limited experience with the metric system, but is likely to be useful to almost all learners. This resource is not designed to replace existing programme approaches, but to provide tutors with additional learning content. Sequence There are four parts to this sequence. Learners will: 1. discuss what they already know about the metric system 2. make connections between the units 3. link the place value system to the measurement system 4. convert between metres, centimetres and millimetres. 1. Discuss what learners know about the metric system Step one: Have learners break into groups and discuss what they know about the metric system. If prompts are needed the following questions may be useful: What are the metric units of measure and how do they relate to each other? When have you used the metric system in your home or work life? When would you be likely to use the metric system in an engineering workshop? Step two: Ask learners to report on the discussions to the whole class. -
Units and Conversions the Metric System Originates Back to the 1700S in France
Numeracy Introduction to Units and Conversions The metric system originates back to the 1700s in France. It is known as a decimal system because conversions between units are based on powers of ten. This is quite different to the Imperial system of units where every conversion has a unique value. A physical quantity is an attribute or property of a substance that can be expressed in a mathematical equation. A quantity, for example the amount of mass of a substance, is made up of a value and a unit. If a person has a mass of 72kg: the quantity being measured is Mass, the value of the measurement is 72 and the unit of measure is kilograms (kg). Another quantity is length (distance), for example the length of a piece of timber is 3.15m: the quantity being measured is length, the value of the measurement is 3.15 and the unit of measure is metres (m). A unit of measurement refers to a particular physical quantity. A metre describes length, a kilogram describes mass, a second describes time etc. A unit is defined and adopted by convention, in other words, everyone agrees that the unit will be a particular quantity. Historically, the metre was defined by the French Academy of Sciences as the length between two marks on a platinum-iridium bar at 0°C, which was designed to represent one ten-millionth of the distance from the Equator to the North Pole through Paris. In 1983, the metre was redefined as the distance travelled by light 1 in free space in of a second. -
Convert Lengths 1 Km = 1000 M 1 M = 100 Cm 1 M
Convert lengths In this activity you will convert between metric units of length: kilometres, metres, centimetres, and millimetres. 1 km = 1000 m 1 m = 100 cm 1 m = 1000 mm 1 cm = 10 mm Think about how to change from one unit to another. A kilometre is one thousand metres! so km 1000 m ÷ 1000 or m km ÷ 1000 A millimetre is a thousandth of a metre! so mm m or m 1000 mm ÷ 100 A centimetre is one hundredth of a metre! so cm m 100 or m cm Think about how to use this to help you change to different units … and back again …. ÷ 10 ÷ 100 ÷ 1000 mm cm m km 10 100 1000 mm cm m km Nuffield Free-Standing Mathematics Activity ‘Convert lengths’ Student sheets Copiable page 1 of 3 © Nuffield Foundation 2011 ● downloaded from www.fsmq.org Try these …. Fill the gaps. A 3 cm = _________ mm 12 cm = _________ mm 285 cm = _________ mm B 6 m = _________ cm 2.4 m = __________ cm 0.7 m = _________ cm C 8 km = _________ m 0.8 km = _________ m 0.08 km = _________ m D 40 mm = _________ cm 250 mm = _________ cm 400 mm = _________ cm E 500 cm = _________ m 750 cm = __________ m 20 cm = _________ m F 2000 m = _________ km 3500 m = _________ km 300 m = _________ km G 0.4 km = _________ m = _________ cm H 0.15 km = _________ m = _________ cm I 0.07 km = _________ m = _________ cm J 3 m = _________ cm = _________ mm K 0.3 m = _________ cm = _________ mm L 90 000 cm = _________ m = _________ km M 1500 cm = _________ m = _________ km N 250 cm = _________ m = _________ km O 600 mm = _________ cm = _________ m P 50 mm = _________ cm = _________ m Nuffield Free-Standing Mathematics Activity ‘Convert lengths’ Student sheets Copiable page 2 of 3 © Nuffield Foundation 2011 ● downloaded from www.fsmq.org Let's play bingo! 1 Choose a card. -
Auto Mechanics
Table of Contents Teaching and Learning The Metric System Unit 1 1 - Suggested Teaching Sequence 1 - Objectives 1 - Rules of Notation 1 - Metric Units, Symbols, and Referents 2 - Metric Prefixes 2 - Linear Measurement Activities 3 - Area Measurement Activities 5 - Volume Measurement Activities 7 - Mass (Weight) Measurement Activities 9 - Temperature Measurement Activities 11 Unit 2 12 - Objectives 12 - Suggested Teaching Sequence 12 - Metrics in this Occupation 12 - Metric Units For Auto Mechanics 13 - Trying Out Metric Units 14 - Keep It Running With Metrics 15 Unit 3 16 - Objective 16 - Suggested Teaching Sequence 16 - Metric-Metric Equivalents 16 - Changing Units at Work 18 Unit 4 19 - Objective 19 - Suggested Teaching Sequence 19 - Selecting and Using Metric Instruments, Tools and Devices 19 - Which Tools for the Job? 20 - Measuring Up in Auto Mechanics 20 Unit 5 21 - Objective 21 - Suggested Teaching Sequence 21 - Metric-Customary Equivalents 21 - Conversion Tables 22 - Any Way You Want It 23 Testing Metric Abilities 24 Answers to Exercises and Test 25 Tools and Devices List References 1 UNIT OBJECTIVES The student will demonstrate these skills for the Linear, Area, Volume or Capacity, Mass, and 1 Temperature Exercises, using the metric terms and measurement devices listed here. SUGGESTED TEACHING SEQUENCE EXERCISES SKILLS Linear Area Volume or Capacity Mass Temperature 1. These introductory exercises may require (pp. 9. 10) two or three teaching periods for all five (pp. 3. 4) (pp. 5 . 6) (pp. 7 -8) (p. 11) areas of measurement. 1. Recognize and use the millimetre (mm) square cubic centi gram (g) degree Celsius unit and its symbol for: centimetre metre (cm 3 ) tel 2. -
The International System of Units (SI)
—————————————————————————— Bureau International des Poids et Mesures The International System of Units (SI) 9th edition 2019 ———————————————— v1.08 Copyright statement The SI Brochure is distributed under the terms of the Creative Commons Attribution 3.0 IGO (https://creativecommons.org/licenses/by/3.0/igo/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The BIPM and the Metre Convention • 117 The BIPM and the Metre Convention The International Bureau of Weights and Measures (BIPM) was set up by the Metre As of 20 May 2019 there Convention signed in Paris on 20 May 1875 by seventeen States during the final session of were fifty nine Member States: Argentina, Australia, the diplomatic Conference of the Metre. This Convention was amended in 1921. Austria, Belgium, Brazil, Bulgaria, Canada, Chile, 2 The BIPM has its headquarters near Paris, in the grounds (43 520 m ) of the Pavillon de China, Colombia, Croatia, Breteuil (Parc de Saint-Cloud) placed at its disposal by the French Government; its upkeep Czech Republic, Denmark, Egypt, Finland, France, is financed jointly by the Member States of the Metre Convention. Germany, Greece, Hungary, India, Indonesia, Iran (Islamic The task of the BIPM is to ensure worldwide unification of measurements; its objectives are Rep. of), Iraq, Ireland, Israel, to: Italy, Japan, Kazakhstan, Kenya, Korea (Republic of),