Interaction Set

Interaction Set. Interaction Dataset.

Introduction to The Set TheoryUniversal and Empty Set Concept in The Set TheoryUnion of SetsThe Intersection of SetsDifference of SetsConclusionA set is an exactly defined collection of objects Objects in this collection are called members or elements of the set The significant point about the set is that the members should be defined exactly and clearly Definitions whose members are not defined explicitly it does not identify a set For example months of the winter season specifies a set but some months of the year do not specify a set Sets are frequently named with capital letters The members of the sets can be written between the curly braces and separated by the commas This representation type called Tabular or Roster Form In the following the Xset represents months of the winter season X= {December January February} Also the sets can be represented by the Venn diagrams The sets should provide two essential properties 1 A set member can exist once in a set 2 The order of the members of the set is not important The Universal set is a particular type of the set and the theory assumes that Universal set covers all sets members in the universe and it represented the U letter On the other hand if a set does not contain any member this type of set is named as an Empty set and it is denoted by ∅ or { }sign When we apply four operations to the numbers we are able to obtain new numbers In a similar context we can apply some manipulations on sets In the next sections we will learn the essential ones and we will also explore the similarities to the SQL Server Set Operations According to the Set Theory we can union two sets so that we can obtain a new set that contains all members of the unioned sets In the below example we will define A and Bsets and the members of these sets will be fruits A = {Apple Orange Strawbery Lemon Avocado} B = {Lemon Avocado Grapefruit Apricot} The union of the A and B sets will look as followand it is denoted by A U B A U B= {Apple Orange Strawbery Lemon Avocado Grapefruit Apricot} The following Venn diagram illustrates A union B At this point we must emphasize one issue the common set members are shown only once In the SQL Server the UNION operator concatenates the resultsets of the two tables and it eliminates the duplicated rows from the resultset In fact the UNION operator in SQL Server acts as like as the union operation in the Set Theory Suppose that A and Bsets are represented by tables in SQL Server At first we will create these tables and then add the expressions that similar to A and B The intersection of the two sets generates a set that contains the common members of the intersected sets Now we will observe the intersection of the A and B sets The A intersection B is denoted by A ∩ B A ∩ B= {Lemon Avocado} The result will be Lemon and Avocado these two members are common members for the A and Bsets A ∩ B is equal to B ∩ A B ∩ A= {Lemon Avocado} The yellow shaded area illustrates the intersection of the A and B sets in the Venn diagram In SQL Server the INTERSECT operator implements the intersection logic of the Set Theory to tables Now we will find the intersection of the TABLE_A and TABLE_B with help of the following query The resultset will not change when we change the order of the tables The members that are in a set and are not exist in the other are called a set difference in the Set Theory The result of the A difference B set will be as follows and it is denotedA / B A \\ B= {Apple Orange Strawberry} The blue shaded area illustrates the result of the A difference B set in the Venn diagram A / B is not equal to B / A B / A = {Graperfruit Apricot } The purple shaded area illustrates B difference A in the Venn diagram In SQL Server with the help of the EXCEPToperator we can obtain the difference between the two tables When we change the order of the table the result set will be changed In this article while the Set Theoryis an abstract concept we have seen it became a concrete reality in relational database theory “Without mathematics there’s nothing you can do Everything around you is mathematics Everything around you is numbers” – Shakuntala Devi.

Understanding the interaction between Set Theory and Set

As for the crossnational data set (all countriesintegrated file) all the independent variable(X1) moderator(X2) and interaction term(X1*X2) are statistically significant and while the effect of interaction term and independent variable are posiive (+) the effect of moderator(X2) is negative().

InteractionSet: vignettes/interactions.Rmd

Adding InteractionsTriggersActionsAnimationsConditional Interactions”ifelse” ConditionsCopying InteractionsIn UXPin you can add interactions to Elements and to the Canvas You can add an Interaction 1 From the Topbar with the Interactions icon 2 From the Properties panel with the +icon Existing interactions are marked with numbers Invalid interactions are marked with a red highlight What are draft interactions? Draft interactions are incomplete interactions that for example link to an element or a variablethat has been deleted A trigger is an action a user needs to perform to start the interaction There are two types of triggers in UXPin Element triggers and Canvas triggers Element triggers set off an action when a user interacts with an element while canvas triggers set off an action when there’s a change in the canvas state Elements with States will have the State Change option available An action is what happens after the interaction is triggered It can apply to the same element as a trigger or to other elements on the canvas In the Actionsmenu you’ll see the following options 1 Go to Page – links to another Page in your prototype 2 Hide – turns off the visibility of the layer 3 Show – turns on the visibility of the layer 4 Toggle – shows and hides a selected layer 5 Set State [available for elements with States] – transitions the element into the specified State 6 Set Variable – sets the Variable as the value or content of the element 7 Scroll to – scrolls to a selected layer Click Moreto see more options depending on the type of elements you have on your canvas 1 Open URL – links to an external Page 2 Go Back – links to the previous Page in the sitemap 3 API Request – allows you to make HTTP requests (GET or POST) to third party API services 4 Move to/ Move by – moves the layer to/by the position specified on Y and X axes 5 Opacity – changes the Take your simple interactions to the next level with our intuitive and quickadjust animation editor that lets you control the way each transition from start to finish Easing lets you control how the interaction is performed over time Choose one of the following effects 1 Linear – reflects constant speed and steady movement from point A to B 2 Ease In – starts slow and accelerates at the end 3 Ease Out – starts quickly and slows down at the end 4 Ease In Out – starts slow gains speed and then slows down at the end Foreach easing you can also define its curve to simulate the natural movement similar to reallife objectsYou can choose from the following curve types Duration and Delay –Use the text fields to define duration and delay for an interaction Delays are specified in milliseconds so 1000ms is 1 second Small UI animations tend to have 200300ms delays while more complex effects usually work better with 400500ms ones See how to use the Delay option in our Tim Conditional interactions allow creating the flows of interactions to resemble the real applications closely They are the system of rules to determine whether a given interaction should be performed or not All conditions have the “ifthen” structure – if the conditions are met then the action will be executed In UXPin the conditions are added to specific interactions Each interaction can have multiple conditions In such cases you’ll be able to specify if the interaction should be triggered once any of the conditions is met or only when all of them are fulfilled Read this howto tutorial to learn how to validate email and password using conditions To add the condition while setting the interaction click the plus icon in the Conditionssection Next you’ll need to specify the condition settings 1 an item to be compared – value of variable content of the element value or an expression 2 the condition – the type of comparison 3 an item to compare with – value of another Once you add a conditional interaction you’ll be able also to determine secondary interactions triggered when the primary conditions are not met In order to do so first create another interaction for the same element which specifies what actions should be triggered in such a case (it doesn’t need to include any conditions) Next step is to connect the interactions — hover over the secondary interaction in the Interactions section and choose Elsefrom the dropdown visible above As a result the interactions will be linked and they’ll be performed according to the specified rules This option can be used to create complex flows such as validation forms where the button is switched to different states depending on whether all fields in the form are filled or not In the case of “Ifelse” interactions the primary interaction should always appear above the secondary one on the list Otherwise the conditions won’t be evaluated You’ll be able also to change the order of the interac There are two ways to copy interactions in UXPin 1 To duplicate an interaction already added to an element open the Interactions section and click the Duplicate interactionicon — this way you’ll get identical interaction set for the element and you’ll be able to edit it further 2 To copy an interaction from one element into another click on the element on the canvas and choose Copy interactionfrom the context menu If there are more interactions added you’ll be able to copy all of them or choose the specific one only Then select another element and choose Paste interaction option from the context menu You can also use the Ctrl “Shift” “C” and Ctrl “Shift” “V” shortcuts Additionally you will be able to copy the interactions between different pages and prototypes Please note that this option is possible only when both the trigger and the action apply to the same element Click (Tap) User clicks or taps on a componentRight Click User rightclicks on a componentElement trigger Triggers when.

Set up a filter interaction Interactions Create & View

interactioncompare Interaction comparisons InteractionSetclass InteractionSet class and constructors interactionsubset Interaction subsetting and combining linearize Linearize 2D interactions into 1D ranges linkOverlaps Link overlapping regions overlaps Find overlaps between interactions in one or two dimensions pairs Extract.