interfering float formula. For an activity with a single predecessor and a single successor, calculating interfering float of an activity requires: This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. interfering float formula

 
For an activity with a single predecessor and a single successor, calculating interfering float of an activity requires: This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core conceptsinterfering float formula Interfering Float: (F IN) Maximum amount by which an activity can be delayed without delaying the project but will cause delay to the Early Start of some following activity

tion of these interference fringes and represents the interference pattern obtained by interfering a nontilted plane wave and a spherical wave. 2. Step 1. A free float shows the period you can. Adding formula’s Right click on column creating column ‘duration 1’- custom field-rename as interfering float, formula- enter formula selecting from field dropdown= total slack- free slack 9. It doesn’t replace other frameworks but rather works alongside them. Write this number at the bottom right corner. 06. Concept: Independent float is the time by which starting or finishing of an activity can be delayed without affecting the total float of its proceeding and succeeding activity. The Total Float given Free Float formula is defined as the maximum allowable delay in a project activity, while Free Float is the delay without impacting successor activities and is represented as TF 0 = FF 0 + S or Total Float = Free Float + Slack of an Event. All the above. ALL ABOUT CRITICAL PATH METHOD (CPM) SCHEDULE MANAGEMENT SCHEDULE MANAGEMENT: FAQs. (c) Destructive interference at P2. Late Finish – The latest time that an activity can finish. Crosstalk is the second most common form of interference. T = F p (P/2pi +U t r t /Cos Beta + U n R n) T = Torque applied, Fp = preload in fastner. Normal project duration = 3 + 9 + 6 + 4+ 10 =32 weeks. Extensions of the proposed formula to other floats such as safety float and interference float are also. Free float is a measure of a task's flexibility and how much it can be delayed without affecting other tasks. Different than TF which is calculated at the path level, FF is calculated at the activity level. Creating columns Right click and add new column- text 1 10. Determine the critical path. Draw the bar chart, AOA, and AON network diagrams for the following project. Ask it well. An example would be an instrument like a trumpet. Independent Float (INDF) Interfering Float is the maximum amount of time an activity can be delayed without delaying the early start of the succeeding activities and without being affected by the allowable delay of any predecessor activity. instrument has both ends open to the air. . (A plane wave can be thought of as a spherical wave with an infinite radius of curvature. We calculate Free Float by subtracting the EF of the predecessor from the ES of the successor minus any lag between the two minus 1 since it ends the day before the early start of the. Mathematical description of a standing wave. Interestingly, project float connects to the commitment of the project manager for a specific completion target. I(α) = Io[sinα α]2. C. Currently, as indicated on the company’s balance sheet, its total outstanding common shares number 500,000 (50,000 of which are held by the CEO and CFO of the company) while 80,000 shares are held in treasury. Free. 25±0. Free Float: The amount that a task can move without affecting other tasks. When we discussed the reflection and refraction of light, light was interacting with mirrors and lenses. 11 Determine the float for the activities in the partial network shown here. It only affects concerned activity. It is thus equal to the head event slack. Use Power Fx formula bar. In project management, float or slack is the amount of time that a task in a project network can be delayed without causing a delay to:: 183 . About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright. Advertisement Advertisement nkkahlon5138 nkkahlon5138 Answer: Interfering Float = Latest Finish Time of Activity under consideration – Earliest starting Time of the following activity. Answer:. Free float, also known as public float, refers to the shares of a company that can be publicly traded and are not restricted (i. (A plane wave can be thought of as a spherical wave with an infinite radius of curvature. Show the potential critical activities on the bar chart and critical paths for the AOA and AON networks. Concept: Independent float is the time by which starting of an activity can be delayed without affecting the total float of its proceeding and succeeding activity. Page 9. PMBOK Guide definitions of Total Float and Free Float. Free & Total Floats are about the time an activity can be delayed , while Project float is the amount of time a Project can be delayed . The Free Float given Indenpendent Float formula is defined as the time available for an activity while considering dependencies, minus independent float, representing schedule flexibility and is represented as FF 0 = IF 0 + S or Free Float = Independent Float + Slack of an Event. Figure 16. Operations Management. This will tell you how much total time the critical tasks can be delayed before the entire project misses its completion target. "&B2. (Zimmerman, 1967) Interfering float and independent float also have to be re-stated, but total float calculation remains unchanged. The phase shift due to the film thickness in thin film interference: When light is incident straight onto a thin film (such as an oil slick on the surface of. It can be defined as "the maximum distance or angle through which any part of a mechanical system may be moved in one direction without applying appreciable force or. a) Total float. (1) shows a graphical. 1) (3. Θcrit = sin-1 (nr/ni) nr=refractive index of glass=1. Latest Finish Time is the latest time at. Determine the critical path. It affects only preceding activities. Critical Path: The continuous string (s) of critical activities in the schedule between the Start and Finish of the project. (25 Marks) Activity IPA Duration Lag Activity IPA Duration Lag A 4 E B 4 B 9 F B, C 2 A 6 D G 6 A E 3 D 4 Roll B H F, G 3 No. Note that you have to subtract one because the Start and Finish dates are inclusive of the number of days. See moreInterfering float is that part of the total float which causes a reduction in the float of the successor activities. The most visible example is the expansion of hot air. LF = LS of Previous node -1 = 18 – 1 = 17; LS = LF – Activity Duration + 1 = 17 – 9 + 1 = 9; Node DFree float: The delay which can be made without delaying succeeding activities. e. This video is based on Floats used in CPM(critical path method) from the subject Operation Research. Solved Examples. Interfering Float: (F IN) The maximum amount by which an activity can be delayed without delaying the project but will cause delay to the Early Start of some following activity. Calculate the total float, free float, and interfering float for each activity. where d is the distance between the slits. Page 10. Michelson, 1852–1931) is a precision instrument that produces interference fringes by splitting a light beam into two parts and then recombining them after they have traveled different optical paths. In this instance, delaying a task also may delay the start date of another noncritical task or activity, but it may not impact the start date of a critical task. It looks like this: LF - EF = total float. Total Float = LS – ES or LF – EF. I have written this article to explain the difference between Total Float and Free Float in project Management. Float (slack) – Amount of time that a task can be delayed without causing a delay to: (1) subsequent tasks (free float) and (2) Project completion date (total float) Critical path-is the sequence of activities which add up to the longest overall duration. It does not affect start of succeeding activity i. If we substitute these values in the formula, float of activity E will be found as 1 day. c ) portion of interfering float. By method 2) Interfering float = 27-24= 3The Michelson interferometer (invented by the American physicist Albert A. Keywords: project management critical path method floats activity network. The sequence of critical activities in. Figure 6. 4. Figure 14. The formula for the Free Float is: Free Float = ES of next activity – EF of current activity – 1; Benefits of the Critical Path Method. 1 A 2 E S L S E F L F Duration ( - ) ( - ) DETERMINING CRITICAL ACTIVITIES ⚫ An activity is critical if float is not available i. Free Float, Independent Float and Interfering Float b) Project Crashing Meaning of Project Crashing. 4b contains information related to each activity of the sample project. Standard Normal Probability Table. b ) succeeding activities. Total float is also known as “float. Where, F T is Total Float, F F is Free floata traditional CPM calculation, four types of float can be calculated: total float (TF), free float (FF), interfering float (INTF) and independent float (INDF). It does not affect the start of succeeding activity i. from field dropdown= total slack-free slack. In may be noted that TES should be calculated with the. The Total Float is simply the sum of the Free and Interfering Float. Last updated on Nov 8, 2023 GPSC AE Answer Key released for AE Mechanical (Advt No. Project Float = (Latest Finish) – (Earliest Finish) 4. We discuss three types of Floats in this video viz Total Float, Free Float and Independent. Adding formula’s Right click on column creating column ‘duration 1’- custom field-rename as interfering float, formula- enter formula selecting from field dropdown= total slack- free slack 9. e. Question: 4. The sum of the activity durations in the Critical Path is equal to the Project’s Duration; therefore, a delay to any. Here's an example to illustrate the difference between Total Float and Free Float: Suppose you have a project with three tasks: A, B,. It is the chain of stages formative the least time needed for an. Z’ Formula. These floats play an important role in two issues of central concern to managers: resource allocation and activity scheduling, since floats gave a measure of the flexibility in scheduling the activities during the project execution without. 8) + 9, had been often used to. Dispatching Rule. The formula for constructive interference due to a path difference is given by (delta =(m+1/2)lambda /n) where (n) is the index of refraction of the medium in which the wave is traveling, (lambda) is the wavelength, (delta) is the path difference and (m=0,: 1,: 2,: 3ldots). Both of these formulas produce the same result. RELATED LINKS. Free float d. It is numerically equal to the difference between the total float and the free float of the activity. b) Free float. Free Float for i-j F F = T j E - (T i E + t ij) Interfering Float (F IT): It is defined as the difference between the total float and the free float of an activity. Whereas events have slack, activities posses float. 1. Since we calculated both the predecessor of activity D, now go back to activity D again to complete the early start and early finish of activity D. Interference is what happens when two or more waves meet each other. b) Free float. As per the interference definition, it is defined as. Activity F. Choosing "good" variable names is one of the first steps programmers take to write understandable, self-documenting code. ⚫ Delay to activities on the critical path will result in a. As a Project Manager, you should have a clear understanding of these concepts in order to create efficient project schedules. e. The critical path is the path through the network that results in the latest completion date of the project. It covers the topics of interference and diffraction of electromagnetic waves, including Huygens' principle, Young's double slit experiment, Fresnel and Fraunhofer diffraction, and gratings. What are A,B and C’s. Interfering float refers to the length of time you can delay a task without impacting the overall schedule. This is done using the following procedure. Step 1: Late finish of last activity on the critical path is same as its early finish. Mr. First, determine the early finish. ES of activity F is calculated by adding 1 to the early finish of the predecessor activity. Each row of Fig. PDF. and Yes if we do some formula substitutions,. We use the following formula to calculate Free Float: Free Float = Successor Task Early Start (ES s) – Predecessor Task Early Finish (EF p) – 1 – Lag. Pages 40 Ratings 100% (1) 1 out of 1 people found this document helpful;Late Start – The latest time that an activity can start. This is 3rd video. But what constitutes "meaning" is unavoidably ambiguous. Interfering Float (F I T): ∙ It is defined as the difference between the total float and free float of an activity. How is total float calculated? A simple formula to calculate total float or slack is our usual formula i. Share on Whatsapp Latest GPSC Assistant Engineer Updates. Calculate the total, free, and interfering float of activity 20 What is the project duration? What are the critical activities? Calculate the total, free, and interfering float of activity 20 ? Not the exact question you're looking for? Post any question and get expert help quickly. a) Total float Difference between the latest finish and earliest finish time for the activity Total float = TF ij = LF j - EF j. It is the difference between the latest finish time of the activity in question and the earliest starting time of the following activity or zero, whichever is larger. Activity float. All the above. the INDF calculation formula, in which D A is the duration of. Total Float = LS – ES. It is computed for an activity by subtracting the tail event slack from its total float. If full use is made of IF, the subsequent activities in the chain will become critical and if it is exceeded, the duration of the project will increase. e. Python3 # convert integer value to float. , near-field, interference is not transmitted as an electromagnetic wave, and the term crosstalk may apply to either inductively or capacitively coupled signals. Komal Bhandakkar AUTHOR. This type of interference is the reason that thin films, such as oil or soap bubbles, form colorful patterns. I have written this article to explain the difference between Total Float and Free Float in project Management. 3. Consider the waves described by D1(x, t) and D2(x, t) that are modeled as follows: D1(x, t) = Asin(kx − ωt) D2(x, t) = Asin(kx + ωt) These two waves are identical, but travel in opposite. This video give tricks about floats, start and end time. The total float and the free float on activity "3-6" in the following project The float calculations for the sample schedule are shown in Exhibit 5. Test Prep. Interference 7-29-99 The wave nature of light. Calculate critical path, project float, early start dates, and late start dates. Interfering Float ( INTF ) Interfering Float is the amount of time a schedule activity can be delayed or extended from its early start date without delaying the project finish date . Determine the free float of Company A. Both of these formulas produce the same result. A “pipe” can be any tube, even if it has been bent into different shapes or has holes cut into it. 3rd Edition. Here’s the lens maker’s formula:. The duration of time by which an activity can be. The horizontal stabilizer and elevator. 02. In our case, Total Float = (duration of path D-E-H) – (duration of path D-G-H) Thus, the Total Float is 2 days. Using Relationship Float. This calculation has the same reason. Find the critical angle for the crown glass-air boundary. It is also equal to the slack of head event of head activity as shown below; F IT = F T - F F. Interfering float is subtraction free float from total float and theSimply we can say that Free Float is the amount of time that an activity can be delayed without delaying the “Early Start” date of its successor. Click View > Tables > Schedule. Independent float: It is the minimum excess available time that exists without affecting any of the succeeding or preceding activities. Your email address will not be published. 2023 Accountancy Secondary School. Stray current corrosion can also occur around AC power systems, where long term AC interference coupling with metallic structure, the intensity however will depend on the level of DC polarization or magnitude of the. This is spare time associated with a particular activity. 3. 3. e. Let’s confirm this with second method. In phase: the two lower waves combine (left panel), resulting in a wave of added amplitude (constructive interference). Project float. Who are the experts? Experts have been vetted by Chegg as specialists in this subject. Total Float = LF – EF. Updated September 30, 2022 Staying on time and within budget is a major part of effective project management. There are four such floats—total float, free float, safety float, and interference float [2–5]. It tells us by how long the activity's start or completion may be delayed without. Any delay in an activity on. FIN = FT - FF = Sj ( Statement 1 is correct) Where, F T is Total. Interfering float is given by ({F_{INT}} = {F_T} - {F_F}) = S j; Download Solution PDF. Uploaded By jaishikha. 6. Explore now. Interfering Float = (Total Float) – (Free Float) 5. a ) preceeding activities. The Free Float given Indenpendent Float formula is defined as the time available for an activity while considering dependencies, minus independent float, representing schedule flexibility and is represented as FF 0 = IF 0 + S or Free Float = Independent Float + Slack of an Event. The 1975 Dorwart and Chalmers formula, serum osmolality = 1. F IN = F T - F F = S j . Mostly the Total Float is owned by the project and can be consumed either by owner or contractor on a ‘first-come-first-serve’ basis. Journal of the Operational Research Society (2003) 54, 1296-1299. Determine the critical path. We know the formula for free float: With a backward pass premise, free float, actually backward free float, becomes: from activity late finish (TLj) minus latest late finish of all predecessors (TLi), subtract the activity duration. While total float is the amount of time a task can be delayed without impacting the completion time of the project as a whole. interfering (shared) float d. When linear waves interfere, the. zero. When the relationship between these two activities is illustrated in a bar chart format, the meaning of free and total float becomes immediately apparent. This will tell you how much total time the critical tasks can be delayed before the entire project misses its completion target. Interfering float: It is similar to head event slack. r. and the project completion date. 10. Total Float • Total Float is the amount of time an activity can delay but not delay the termination of the project • TFi = LSj – ESi. Project management, cpm and PERT concept. Independent Float: It is the minimum excess available time which exists without affecting any of succeeding or preceding activities. 4. 50 = 0. F): The total time between an activity’s late finish and the early start of the following activities. zero. P. The Z-score for. In other words, head event slack of an activity in a network is the difference between the latest event time and earliest event time at its head ( or. Because of this fact, contractors often hide the Total Float by extending their activities in the schedule, manipulating the critical path. Destructive interference happens when two waves overlap in such a way that they cancel each other out. Find Critical Path, Total Float, Free Float, and Interfering Float. What are the three types of float? Types of float. Project planners use this method to develop project schedules, including IT, research, and construction. Project float: Project float means there’s a soft deadline and a hard deadline for the project delivery. See Correct Answer. Thin Film Interference part 1. interfering float is the amount of time the ES of an activity can be delayed without delaying the _____ but which will delay at least one _____ project completion succeeding activity. Extensions of the proposed formula to other floats such as safety float and interference float are also discussed. Each activity in Network Diagram is represented as below, Also, remember that Float can be calculated with these start and finish values using the formula below, Float = Late Start – Early Start or Late Finish – Early Finish. Simple trigonometry shows. We would like to show you a description here but the site won’t allow us. subsequent tasks (“free float”). Interfering Float: It is similar to head event slack. It is the shortest time possible to complete the project. The Total Float is distributed as free. This method is monotonic only when v0. Start typing your formula in the bar. INTERFERING FLOAT FORMULA Interfering float (Slack Event) = Latest time start* (–) Earliest time start* *at a node (event) of an activity. Total float and Independent float c. Where, F T is Total Float, F F is Free float a traditional CPM calculation, four types of float can be calculated: total float (TF), free float (FF), interfering float (INTF) and independent float (INDF). Answer & Solution Discuss in Board Save for Later. This technical report intends to provide a glimpse regarding floating offshore platforms, i. interfering float e. Formulas for calculating Total Float and Free Float are as follows: Total Float = LS – ES (it is also calculated by LF – EF)Free Float = Lowest ES of successors – EF. Mostly the Total Float is owned by the project and can be consumed either by owner or contractor on a ‘first-come-first-serve’ basis. 3. Second, the spacing of the interference fringes must be independent of wavelength. Don’t forget to check out the video. the INDF calculation formula, in which D A is the duration of. Float or slack is the amount of time that a task in a project network can be delayed without causing a delay to subsequent tasks ("free float") and project completion date ("total float"). Free Float Formula. A pin d, guided by arms gggg, fits into a socket e attached to the float. doi: 10. The necessary dimensions are as below: V=6±0. ) Figure 16. This means that an activity that has a one-day duration would start in the morning on Monday, January 15, and finish in the afternoon on Monday, January 15. 52. Total Float (TF) Free Float (FF) Project Duration Critical Path Resource Allocation Resources Relationships Durations Interfering Float (INTF) Independent Float (INDF) TERM DEFINITION Early Start The earliest day on which an activity can start Early Finish The earliest day on which an activity can finishConstructive interference happens when two waves overlap in such a way that they combine to create a larger wave. Critical Activity: Any activity in the schedule that does not possess any float; Total Float=0. To calculate total float, subtract the task’s earliest finish (EF) date from its latest finish (LF) date. all of my videos at my Facebook Page:. means use formula of Independent float for Interfering float and vice versa. Not only is that code horribly slow, it's also apt to be just plain wrong in a lot of cases. Question: The time by which activity completion time can be delayed without affecting the start of succeeding activities, is known as Select one: a. Defining Free Float and Total Float: Free Float: At its core, Free Float represents the amount of time a task can be delayed without affecting the subsequent task's start date. Total Float (TF) 6. Interpreting the Float Results. The duration between the earliest start time of the preceding event and latest finish time of the succeeding event, is called 'float'. A critical path is an activity or event that, if delayed, will delay project completion. Δl = d sin θ (3. Total float and independent float. The term “float” in project management refers to how long a particular task can be delayed without having an impact on other tasks that team members must complete or having to postpone the scheduled completion date. L-14 Fluids [3] §Why things float §Fluids in Motion Fluid Dynamics –Hydrodynamics –Aerodynamics . d ) none of the above. in the SI system. As a measure of the flexibility in a project, float helps project. In project scheduling, the free float (slack) of an activity represents the leeway for scheduling the activity without affecting any subsequent activity. Simple trigonometry shows. Example 1. Interfering float (INTF). Interfering float (INTF). The Independent Float used in CPM formula is defined as the excess time available as the preceding activity ends as late as possible and the succeeding activity starts as early as possible. A project’s total float is the difference between the finish date of the last task on the critical path and the project completion date. Draw the bar chart, AOA, and AON network diagrams for the following project. Planner Talks - Berikut ini penjelasan apa itu float pada penjadwalan proyek konstruksi, beserta dengan jenis - jenisnya. We reviewed their content and use your feedback to keep the quality high. Event slack is defined as the difference between the latest event and the earliest event times. Adding formula’s. Combining this with the interference equations. To apply that to acoustic levitation, we need to introduce and explain two other terms: compression and rarefaction. Total Float. Backlash (engineering) In mechanical engineering, backlash, sometimes called lash, play, or slop, is a clearance or lost motion in a mechanism caused by gaps between the parts. It is the difference between total float and free float. The head event slack of an activity in a network is the slack at the head ( or terminal point) of an activity. Thus, Interfering Float can be calculated as under: Interfering Float = Latest Finish Time of Activity under consideration – Earliest starting Time of the following activity. Because of this fact, contractors often hide the Total Float by extending their activities in the schedule, manipulating the critical path. Free Float for i-j F F = T j E - (T i E + t ij) Interfering Float (F IT): It is defined as the difference between the total float and the free float of an activity. Ick. Buoyancy – why things float TITANIC • The trick is to keep the water on the outside of the ship, and • to avoid hitting icebergs (which also float), and • are easy to miss since 90 % of it is submerged. Page 4 of 16To use this online calculator for Free Float used in CPM, enter Total Float (TF0) & Slack of an Event (S) and hit the calculate button. Show the potential critical activities on the bar chart and critical paths for the AOA and AON networks. 3. Total float, Project float, Interfering Float, Independent Float. Concerning dispatching rule, this study calculates the makespan considering all hired regular labors using ACO, identifying the earliest and latest time span, and proposes a novel dispatching rule based on backward scheduling adopting the free float time (FF) and interfering float time (IF). Total float: The amount of time a task can be delayed without delaying the completion of the project; Independent float: The amount of time a task can be delayed without delaying the starts of any of it's successors; Formulas: For an activity connecting node 'i' and node 'j' ('i' being the earlier node in the task), with duration 'd'. Float adalah total keseluruhan waktu pada aktivitas proyek mulai dari awal sampai dengan akhir yang bisa ditunda tanpa mempengaruhi durasi dari sebuah pekerjaan. Using float, project managers can assess their level of. The Total Float is measured as the difference between the early start and late start dates (LS – ES) or late finish and early finish dates (LF – EF). Use the following steps to calculate the total project float: 1. 1 – Superposition. ALL ABOUT CRITICAL PATH METHOD (CPM)MANAGEMENT…Thus, an independent float can be calculated as under: Independent Float = Total Float – Tail Event Slack. It does not affect latest completion of preceding activity. So in this case for activity F, ES = 2+1 = 3 and EF = 3+3-1 = 5. Calculate the total float, free float, and interfering float for each activity. The formula used to calculate free float differs for these two situations; however, the result is the same. A project's critical path defines the sequence of tasks a team follows to complete the project. . These objects are much larger than the wavelength of light, so the analysis can be done using geometrical optics, a simple model that uses rays and wave fronts. critical float. Independent float and Free float d. The total weight of the task is 100. NOISE INDUCED BY NEAR-FIELD INTERFERENCE . Any delay in an activity on the critical path would reduce the amount of total float available on the project. project management, based on our survey, have for decades been using a popular formula to calculate free floats that may lead to erroneous results in the presence of dummy arcs. 53701 (Software Project Management) Answer Key Q. Question 7 options: Total float Interfering float Free float Independent float . It is the difference between the latest finish time of the activity in question and the earliest starting time of the following activity or zero, whichever is larger. 0666. where d is the distance between the slits. Not the exact question you're looking for? Post any question and get expert help quickly. Total Float Formula Total float is calculated by subtracting the Early Start date of an activity from. EF is the early finish of the activity (days) ES is the early start of the successor activity (days) To calculate free float, subtract the early start of the successor activity from the. wooden float bb, 1-5 meter outside diameter, meter inside diameter, and 0-25 meter thick. consequently they have less tendency to float gangue, particularly in circuits alkaline with lime. Applying the given formula. People also read lists articles that other readers of this article have read. Free Float. r. Total Float is the total amount of time a task can be delayed and still keep the project on schedule, while Free Float is the amount of time a task can be delayed without impacting other tasks in the project. 5 16. Interfering float (INTF) Interfering float refers to the length of time you can delay a task without impacting the overall schedule. Interfering Float (INTF) Interfering float (INTF) refers to the time you can delay a task from the date you planned to start it without delaying the project's completion date. Example: Here is a simple example of the Python float() function which takes an integer as the parameter and returns its float value. For a wave on a string, each point. , The phenomenon in which two or more waves superpose to form a resultant wave of. The general formula for calculating total float is: The graphic definition of float in a precedence network is given in Figure 3. Interesting explanation of the types of schedule float. Free float is the term used for how much slack there is around non-critical tasks. It is computed for an activity by subtracting the head event slack from its total float. I have one more doubt Q. A F=P A h PBottom. Types of Floats: 1) Total float 2) Free float 3) Independent float 4) Interfering float All these Floats are discussed along with their formula. normally, for wave equation problems, with a constant spacing (Delta t= t_{n+1}-t_{n}), (nin{{mathcal{I^-}_t}}).