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Gas Industry O2 PowerPoint Templates & Google Slides Themes
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Flow charts in PowerPoint
I am creating some flow charts in PowerPoint.
As you know, when these charts get complicated, the lines run into each other and create confusion: are they meant to connect, or were they intended to go through?
I believe Visio has a solution to this where connecting lines automatically "jump" other connecting lines, depicted as a curve. Does PowerPoint have something similar to this?
- microsoft-powerpoint
4 Answers 4
In a word, no. At least not yet. I would suggest adding a dot or something where the lines are supposed to connect.
The easiest way I found was to use the "rainbow" shape, set it to zero width so it looks like a line, then connect lines to each end of it.
I had to use non-elbow connectors or else they misbehave and come in from the wrong directions (still haven't figured that one out!)
Sample below:
I have experimented with Route diagram pieces of Wikipedia which were invented to depict sub-way and train maps.
Sample diagram created in PowerPoint :
The building blocks for the diagram are route icons of 10x10 mm².
Using PowerPoint's "snap to grid" feature, these icons can be easily positioned to align properly. I keep the icons in a PowerPoint template file. To insert a given icon in my diagram, I simply copy it via mouse ctlr-left-click-drag&drop.
My solution is similar, but a bit more simple. I create two rectangles to mask a certain part of the overlapping lines. Once you have "calibrated" the correct size and distance between the rectangles, you can copy-paste and turn them around.
Sorry, not enough reputation to show an example.
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similar triangles notes
- Similar Triangles Notes
Author: acavis
Post on 20-Jun-2015
22.387 views
34 download
similar shapes
Similar triangleshave, similar figures example, similar figuresexample, similar butnotcongruent, similar figures aproportionis, similar triangles ways, sides congruent.
Embed Size (px) 344 x 292 429 x 357 514 x 422 599 x 487
Congruent and Similar Triangles
IntroductionRecognizing and using congruent and similar shapes can make calculations and design work easier. For instance, in the design at the corner, only two different shapes were actually drawn. The design was put together by copying and manipulating these shapes to produce versions of them of different sizes and in different positions.
Similar and Congruent Figures
• Congruent triangles have all sides congruent and all angles congruent.
• Similar triangles have the same shape; they may or may not have the same size.
Note: Two figures can be similar but not congruent, but they can’t be congruent but not similar. Think about why!
ExamplesThese figures are similar and congruent. They’re the same shape and size.
These figures are similar but not congruent. They’re the same shape, but not the same size.
Ratios and Similar Figures• Similar figures have corresponding
sides and corresponding angles that are located at the same place on the figures.
• Corresponding sides have to have the same ratios between the two figures.
• A ratio is a comparison between 2 numbers (usually shown as a fraction)
Ratios and Similar Figures
These sides correspond:
These angles correspond:
These rectangles are similar, because the ratios of these corresponding sides are equal:
•A proportion is an equation that states that two ratios are equal.
•Examples:4 8
n = 5 m = 4
Proportions and Similar Figures
You can use proportions of corresponding sides to figure out unknown lengths of sides of polygons. 16
10/16 = 5/n so n = 8 m
–Solve for n:
Similar triangles• Similar triangles are triangles with the same shape
For two similar triangles, • corresponding angles have the same measure
• length of corresponding sides have the same ratio
Angle 1 = 90o Side B = 6 cm
Similar Triangles
Ways to Prove Triangles Are Similar
Similar triangles have corresponding angles that are CONGRUENT and
their corresponding sides are PROPORTIONAL.
But you don’t need ALL that information to be able to tell that two
triangles are similar….
AA Similarity
• If two (or 3) angles of a triangle are congruent to the two corresponding angles of another triangle, then the triangles are similar.
25 degrees 25 degrees
SSS Similarity• If all three sides of a triangle are
proportional to the corresponding sides of another triangle, then the two triangles are similar.
Medical Triangles!!
Proving Triangles are Similar 8.5 Proving Triangles are Similar 8.5 Chapter 8 Similarity Section 8.5 Proving Triangles are Similar U SING S IMILARITY
6.6 proportions & similar triangles, 6.3 similar triangles notes - washington-lee · 6.3 similar triangles notes 2 6.3 use similar polygons objectives •students will use proportions to identify similar polygons •students, similar triangles , similar triangles & trigonometry chapter problems …content.njctl.org/courses/math/geometry-2015-16/similar-triangles...similar triangles & trigonometry chapter problems problem solving, 3.4 using similar triangles - jackson school district · 126 chapter 3 angles and triangles 3.4 using similar triangles how can you use angles to tell whether triangles are similar, 4.3 similar triangles, similar triangles day2, similar triangles, geometry – unit 7 name similar triangles score january 2015 · name _____ score _____ _____ _____ assignments notes spirit geometry – unit 7 similar triangles january 2015, (b) non-similar triangles with a common base 7z 21choosgs2math.wiki.hci.edu.sg/file/view/non+similar+triangles... · **areas of non-similar triangles a (a) non-similar triangles with, dilating triangles to create similar triangles, similar triangles notes day 1 · similar triangles notes day 1 february 23, 2017 11:42 am rates and ratios page 1, geometry: similar triangles, 7.4 similar triangles, geometry chapter 6 assignment sheet - mrlouro.net · similar polygons ... write the ratios of the corresponding ... similar triangles notes 6.4 objective: identify similar triangles, similar triangles + identity, 73 similar triangles i can identify similar triangles ...images.pcmac.org/.../uploads/forms/geo_lesson_7-3.pdf · geo 73 lesson with notes 1st a.notebook 3 february 19, 2016 feb 132:37, solve problems using similar triangles - 2013mathstriangles... · you would use similar triangles to measure this object. literacy connect 3. sherlock holmes uses similar triangles, situation 1: congruent triangles vs. similar trianglesjwilson.coe.uga.edu/emat6500/classsit/scarpelli/scarpelli_congtr... · situation 1: congruent triangles vs. similar triangles, proving triangles similar...proving triangles similar for exercises 1–4, if the two triangles are similar, state why they are similar. if not, state that they are not similar. 1, similar triangles 2a - mathematicssmcmaths.webs.com/form-5/2a/similar triangles 2a.pdf · form%5% % similar%triangles% % 1% similartriangles’ %%%%%core’ 3.4.1 symmetry and congruency, geometry 7.2 similar polygons notes similar polygons: have … · 2017-02-23 · geometry – 7.2 similar polygons notes 4) determine whether the triangles shown are similar. if so,, similar triangles and trigonometry - splash.tdchristian.casplash.tdchristian.ca/classes/math/fluit/gr10mathcayley/notes/trig... · similar triangles and trigonometry unit ... if three, 12.4 using similar triangles - big ideas math · 550 chapter 12 angles and triangles 12.4 using similar triangles how can you use angles to tell whether triangles are similar, similar triangles concept, similar triangles - ms. spear's math page · similar triangles please write the fallowing notes on the board and go through the examples. similar polygo"s - polygons that have the, correction similar triangles test, similar triangles 8.3. identify similar triangles. homework learn the definition of aa, sas, sss similarity. use similar triangles to solve problems, 6.6 similar triangle right triangles · similar triangles in right triangles 6.6 ... triangles and write and solve proportions as needed. 6.6 ... right triangles,, 8.4 similar triangles, 1. similar triangles, similar triangles & trigonometry, similar right triangles, similar triangles - sample problems.doc.
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Practical RDF Chapter 12. Ontologies: RDF Business Models Shelley Powers, O’Reilly SNU IDB Lab....
Owl description, owl properties, owl web ontology languagerdfs, use of rdfs, introductionan ontology, basic constructs of.
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Transcript of Practical RDF Chapter 12. Ontologies: RDF Business Models Shelley Powers, O’Reilly SNU IDB Lab....
Practical RDF
Chapter 12. Ontologies: RDF Business Models
Shelley Powers, O’Reilly
SNU IDB Lab.Taikyoung Kim
Outline Introduction Why Ontology? OWL Use Cases & Requirement OWL Specifications Basic Constructs of OWL Bits of Knowledge: More Complex OWL Construct The Complementary Nature of RDF and OWL Ontology Tools: Editors
Introduction An ontology formally defines a common set of terms
that are used to describe and represent a domain
If (RDF → relational data model) and (SQL → RDF/XML), then Ontologies built on RDF/XML → large architected business applications
Why Ontology? RDFS Vs. OWL (Web Ontology Language)
– RDFS imposes fairly loose constraints on vocabularies– OWL adds additional constraints that increase the accuracy
of implementations of a given vocabulary– OWL allows additional information to be inferred about the
– RDFS provides properties, such as subClassOf, that define re-lationship between two classes
– OWL can add additional class characteristics , such as uniqueness, that aren’t defined within RDFS
OWL Use Cases & Requirement Ontology encompasses four concepts :
– Classes– Relationships between classes– Properties of classes– Constraints on relationships between the classes and proper-
ties of the classes
OWL Specifications
OWL Guide 1.0
“An ontology differs from an XML schema in that it is a knowledge representation, not a message format”
3 different types of OWL :– OWL Lite : simple classifications– OWL DL (Description Logics) : more complex ontologies– OWL Full : full support for maximum freedom of RDF
OWL Abstract Syntax & Semantics
Provides a semantic definition of what is a “fact” within OWL
The formal definition of a description is :
Primarily, an OWL description is one of a class identi-fier, a property restriction, or a complex class associ-ation
<description> ::= <classID> | <restriction> | unionOf( {<description>} ) | intersectionOf( {<description>} ) | complementOf( {<description>} ) | oneOf( {<individualID>} )
Basic Constructs of OWL
owl:Classowl:Datatypeowl:DatatypePropertyrdfs:domainowl:importsowl:ObjectProperty
owl:Ontologyrdf:Propertyrdfs:rangerdfs:subClassOfrdfs:subPropertyOfowl:versionInfo
OWL elements:
Outer OWL block, delimited by owl:Ontology, contain-ing owl:versionInfo and owl:imports<rdf:RDF xmlns:psctn=“http://burningbird.net/postcon” xmlns:owl=“http://www.w3.org/2002/07/owl#” xmlns:rdf=“http://www.w3.org/1999/02/22-rdf-syntax-ns#” xmlns:rdfs=“http://www.w3.org/2000/01/rdf-schema#” xmlns:dc=“http://purl.org/dc/elements/1.1/” xmlns:xsd=“http://www.w3.org/2000/10/XMLSchema#”><owl:Ontology rdf:about=“http://burningbird.net/postcon”> <owl:comment>PostContent Management</owl:comment> <owl:versionInfo> $Id: Overview.html, v 1.2 2002/11/08 16:42:25 connolly Exp $ </owl:versionInfo> <dc:creator>Shelly Powers</dc:creator> <dc:title>PostCon</dc:title></owl:Ontology></rdf:RDF>
OWL Classes & Individuals Like RDFS, OWL classes define entities via properties In addition, OWL is the hierarchical nature of the classes
The Resource moves from location to location There are other resources that are related in some way to the
Resource So the ResourceMovement and RelatedResource become sub-
classes of the Resource
<owl:Class rdf:ID=“Resource” /><owl:Class rdf:ID=“RelatedResource”> <owl:subClassOf rdf:resource=“#Resource” /></owl:Class><owl:Class rdf:ID=“ResourceMovement”> <owl:subClassOf rdf:resource=“#Resource” /></owl:Class>
OWL Simple Properties
An OWL property is very similar to a property defined in RDFS (They share the same use of rdfs:domain, rdfs:range)
But in addition, constraints that aren’t defined in RDFS can be applied to OWL properties
<owl:ObjectProperty rdf:ID=“movementType”> <rdfs:domain rdf:resource=“#ResourceMovement” /> <rdfs:range rdf:resoruce=“” /></owl:ObjectProperty>
Bits of Knowledge: More Complex OWL Constructs
OWL elements :owl:allValuesFromowl:cardinalityowl:complementOfowl:differentFromowl:disjointWithowl:FunctionalPropertyowl: hasValueowl:intersectionOfowl:InverseFunctionalPropertyowl:inverseOf
owl:maxCardinalityowl:minCardinalityowl:ObjectRestrictionowl:oneOfowl:onPropertyowl:Restrictionowl:someValuesFromowl:SymmetricPropertyowl:TransitivePropertyowl:unionOf
Property Characteristics (1/5)
TransitiveProperty :P(x,y) & P(y,z) implies P(x,z)
<owl:ObjectProperty rdf:ID=“partOf”> <rdf:type rdf:resource=“owl:TransitiveProperty” /> <rdfs:doman rdf:resoruce=“&owl;Thing” /> <rdfs:range rdf:resoruce=“#Resource” /></owl:ObjectProperty>
<Resource rdf:ID=“sectionHeader1a”> <partOf rdf:resource=“sectionHeader1” /></Resource>
<Region rdf:ID=“sectionHeader1”> <partOf rdf:resource=“#monsters1” /></Region>
Property Characteristics (2/5)
SymmetricProperty :P(x,y) iff P(y,x)
<owl:ObjectProperty rdf:ID=“sectionPeer”> <rdf:type rdf:resource=“&owl;SymmetricProperty” /> <rdfs:doman rdf:resoruce=“#Resource” /> <rdfs:range rdf:resoruce=“#Resource” /></owl:ObjectProperty>
<Resource rdf:ID=“sectionHeader1a”> <partOf rdf:resource=“#sectionHeader1” /> <sectionPeer rdf:resoruce=“#sectionHeader1b” /></Resource>
<Resource rdf:ID=“sectionHeader1b”> <part of rdf:resource=“#sectionHeader1” /> <sectionPeer rdf:resoruce=“#sectionHeader1a” /></Resource>
Property Characteristics (3/5)
FunctionalProperty :P(x,y) & P(x,z) implies y = z
– “Functional” in that all movement types can be assigned only one value, and the value must be from allowable types
<owl:Class rdf:ID=“MovementType” />
<owl:ObjectProperty rdf:ID=“movementType”> <rdf:type rdf:resource=“&owl;FunctionalProperty” /> <rdfs:doman rdf:resoruce=“#ResourceMovement” /> <rdf:range rdf:resoruce=“#MovementType” /></owl:ObjectProperty>
Property Characteristics (4/5)
inverseOf :P1(x,y) iff P2(y,x)
– A new property can be defined as the inverse of an existing property
<owl:ObjectProperty rdf:ID=“hasChild”> <owl:inverseOf rdf:resource=“#partOf” /></owl:ObjectProperty>
Property Characteristics (5/5)
InverseFunctionalProperty :P(y,x) & P(z,x) implies y = z
– Combines the logic of both the inverse and the Functional-Property
<owl:ObjectProperty rdf:ID=“partOf”> <rdf:type rdf:resource=“&owl;FunctionalProperty” /></owl:ObjectProperty>
<owl:ObjectProperty rdf:ID=“childOf”> <rdf:type rdf:resource=“&owl;InverseFunctionalProperty” /> <owl:inverseOf rdf:resource=“#partOf” /></owl:ObjectProperty>
Property Restrictions (1/3)
allValuesFrom
– Restricting values for the property to MovementType values only someValuesFrom :
a less restricted version of allValuesFrom, used to specify that at least one of the properties restricted
<owl:Class rdf:ID=“ResourceMovement”> <owl:subClassOf rdf:resource=“#Resource” /> <rdfs:subClassOf> <owl:Restriction> <owl:onProperty rdf:resource=“#reason” /> <owl:allValuesFrom rdf:resource=“#MovementType” /> <owl:/Restriction> </rdfs:subClassOf></owl:Class>
Property Restrictions (2/3)
cardinality
– Cardinality indicates the exact number of individual in-stances of a property allowed within a class
– For OWL Full, owl:maxCardinality, owl:minCardinality
<owl:Class rdf:ID=“ResourceMovement”> <rdfs:subClassOf> <owl:Restriction> <owl:onProperty rdf:resource=“#movementType” /> <owl:cardinality>1</owl:cardinality> <owl:/Restriction> </rdfs:subClassOf></owl:Class>
Property Restrictions (3/3)
– Used with a class to differentiate those with properties from a specific range
<owl:Class rdf:ID=“ResourceMovement”> <rdfs:subClassOf> <owl:Restriction> <owl:onProperty rdf:resource=“#movementType” /> <owl:hasValue rdf:resource=“#MovementType” /> <owl:/Restriction> </rdfs:subClassOf></owl:Class>
Complex Classes (1/5) : Intersec-tion intersectionOf :
– In case of an intersection of a class and one or more proper-ties
<owl:Class rdf:ID=“XMLResource”> <owl:intersectionOf rdf:parseType=“Collection”> <owl:Class rdf:about=“#Resource” /> <owl:Restriction> <owl:onProperty rdf:resource=“#hasFormat” /> <owl:hasValue rdf:resource=“#XML” /> <owl:/Restriction> </owl:intersectionOf></owl:Class>
Complex Classes (2/5) : Union unionOf :
– Creates a class whose members combine the properties of both classes being joined
<owl:Class rdf:ID=“WebpageResource”> <owl:unionOf rdf:parseType=“Collection”> <owl:Class rdf:about=“#XMLResource” /> <owl:Class rdf:about=“#HTMLResource” /> </owl:unionOf></owl:Class>
Complex Classes (3/5) : Comple-ment complementOf :
– Creates a class that consists of all members of a specific do-main that do not belong to a specific class
<owl:Class rdf:ID=“WebResource” /> <owl:Class rdf:ID=“NotWebPage”> <owl:complementOf rdf:resource=“#WebpageResource” /> </owl:Class>
Complex Classes (4/5) : Enumera-tion oneOf :
– An enumeration is a class with a predetermined, closed set of members
<owl:Class rdf:ID=“GraphicResource”> <rdfs:subClassOf rdf:resource=“#Resource” /> <owl:oneOf rdf:parseType=“Collection”> <owl:Thing rdf:about=“#JPEG” /> <owl:Thing rdf:about=“#PNG” /> <owl:Thing rdf:about=“#GIF” /> </owl:oneOf></owl:Class>
Complex Classes (5/5) : Disjoint disjointWith :
– Lists all of the classes that a particular class is guaranteed not to be a member of
<owl:Class rdf:ID=“TextFile”> <rdfs:subClassOf rdf:resource=“#Resource” /> <owl:disjointWith rdf:resource=“#GraphicResource”> <owl:disjointWith rdf:resource=“#VideoResource”></owl:Class>
The Complementary Nature of RDF & OWL
When to use RDF & RDFS– If you’re defining a fairly simple vocabulary primarily for your
own use– If you’re concerned primarily with the striped nature of RDF/
When to use OWL– If you’re documenting a model of a specific domain and you
hope to encourage others to use it and be able to use the data to make sophisticated queries
Ontology Tools : Editors Protégé
Idb Pump Final
Paper IDB - JEC
RDFPath: Path Query Processing on Large RDF Graph with MapReduce Martin Przyjaciel-Zablocki et al. University of Freiburg ESWC 2011 24 May 2013 SNU IDB.
IDB&SKUK son
IDB Compliance Technology
O’Reilly v. Morse
Practical RDF Chapter 10. Querying RDF: RDF as Data
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IDB, SNU Dong-Hyuk Im 2008.07.11 Efficient Computing Deltas between RDF Models using RDFS Entailment Rules (working title)
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7.2 Describing Climates. Describing Climates There are three major climate zones: The planet can be...
Post on 15-Dec-2015
year climate zones
Polar climate zones, type of climate, climates slide, major climate zones, climate changes, polar regions, environment slide.
7.2 Describing Climates
Describing Climates
There are three major climate zones:
The planet can be divided into climate zones, regions that share similar weather conditions.
Tropical Zone• warm temperature which does not vary much throughout the year
Temperate Zones (north and south)• temperatures vary greatly throughout the year, many regions have
warm and cold seasons
Polar Zone (north polar zone and south polar zone)• cold temperatures, covered in ice for most or all of the year
Climate zones are caused by unequal warming of Earth’s surface. Polar regions receive less intense sunlight than equatorial regions do, and therefore they are colder than equatorial regions.
ClimatographsA climatograph is used to compare climates in different regions. It is a graph of climate data for a particular region based on average measurements taken over several years.
A climatograph includes figures for average monthly temperature and an average of the total monthly precipitation.
ClimatographsFigure 7.15 shows a climatograph for Manokwari in Indonesia. The horizontal axis of the climatograph indicates the 12 months of the year. Temperature in (oC) is calibrated along the right vertical axis. Precipitation (in mm) is calibrated along the left vertical axis. This climatograph indicates that the average temperature in Manokwari remains close to 25oC throughout the year. Rainfall levels are high, with one wet season and one drier season in the year.
Figure 7.15 is on page 280 of your textbook.
Classifying Climates• Categorizing the abiotic and biotic components of a region allows
scientists to more easily compare different parts of the world.
• The patterns in those climatographs help scientists classify regions of the world into groups by climate.
• abiotic – non-living factors in the environment
• biotic – living things in the environment
BiomesLarger regions that have similar types of climate and similar plants and animals are known as biomes.
Climate Zones and Biomes in Canada
Examples of seven of the world’s eight major biomes can be found across Canada. Canada falls within the temperate and polar climate zones. The biomes found in Canada are:
• permanent ice• tundra• boreal forest• temperate deciduous forest• temperate rainforest• grassland• desert
BiomesThis classification system is useful because it indicates the interaction of climates with ecosystems.
If the climate changes, then the distribution of plants and animals adapted to the climate will also change.
How do you find the type of ecosystem that is found where the average annual temperature is 25oC and the average annual precipitation is greater than 275 cm?
Follow the data lines from each axis until the two lines intersect. The biome found in that type of climate is a tropical rainforest.
Figure 7.16 is on page 283 of your textbook.
Which biome do we live in?
Temperate Deciduous Forest
Ecozones• Concerns about the effect of climate change on
resource management led to the development of another classification system. That system combines climate with geology, landscape, soil, vegetation, wildlife, water and human factors. This holistic approach classifies broad distinctive areas of land into ecozones.
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• Like a biome, an ecozone is an area of Earth’s surface that is characterized by particular climate features and living things. An ecozone is separated from a neighbouring ecozones by a geological feature such as an ocean, desert or mountain range.
• There are 15 ecozones that have been classified across Canada.
Ecoregions in Canada
Within each ecozone are smaller subdivisions known as ecoregions. These regions are characterized by local landforms such as plains, lakes, mountains, and rivers.
Climatic conditions, wildlife, and human activities are affected by these features. Scientists have mapped 867 distinct ecoregions around the world.
Figure 7.18 is on page 287 of your textbook.
Ecoregions in the Boreal Shield EcozoneThe Lake Abitibi and Lake Temagami ecoregions cover about 18 percent of Ontario’s land area. These ecoregions share many similar plant and animal species, however, white pine trees are fare more common in the Lake Temagami Ecoregion. The minor climatic differences between these two ecoregions are important to conservationists who study the white pine population.
Top related
Mesothermal Climates (C) Humid Subtropical (Hot-Summer) Climates (Cfa) Humid Subtropical (Winter-Dry) Climates (Cwa) Marine West Coast Climates (Cfb, Cfc)
Climates and landscapes, tropical climates, extreme climates revision, a powerpoint by elijah weaber e.s.s period 2. you have several types of climates: tropical climates dry climates moist subtropical mid-latitude climates., climates & lifestyles. first of all i want to start out by describing what the meaning of climate is., climates buildings, time zones and regions what are they. a diverse world the world is full of different things: cultures, landforms, cities, landscapes, climates, traditions., world geography climates climates of the world. warm up list as many climates as you can think of., classification of climates, mystified by climate zones here's the real dirt on ... · describing climate zones well, join the crowd, you are not alone. here are the two primary climate zone maps that befuddle, 7.2 describing climates copyright © 2010 mcgraw-hill ryerson ltd. distance from the equator affects both average temperature and average precipitation,, energy design guidelines for high performance schools: hot ...hot and dry climates 1 climate zones for energy design guidelines these guidelines contain recommendations generally appropriate, mesothermal climates (c) , ch. 26.2 climate zones. three main climate zones on earth; tropical climates around the equator, middle latitude climates, and polar climates., the earths climates, global climates, molecular masses - climates, mid-latitude climates, versión climates 2012.
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