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Question :

This is part of an exercise which asked first of all to compute the probability P [ T 1 < T 5 | X 0 = s 3 ] P [ T 1 < T 5 | X 0 = s 3 ] which I did by solving a boundary value problem. It finally turns out that this probability is 1 / 2 1 / 2 .

First of all, my question here is that I do not completely understand the exercise. Why does it mentioned that the coin is actually biased, since p 1 / 2 p 1 / 2 but then asks to model an algorithm for a non-biased coin ? And I cannot seem how to proceed on using the chain given for modelling the coin flip asked.

Any help will be greatly appreciated.

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Reorder the states as ( s 2 , s 3 , s 4 , s 1 , s 5 ) ( s 2 , s 3 , s 4 , s 1 , s 5 ) to obtain ˜ P = ( 0 1 p 0 p 0 p 0 1 p 0 0 0 p 0 0 1 p 0 0 0 1 0 0 0 0 0 1 ) ,

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A new family’s impression of your church can be framed by their first experience with your children’s ministry.

What kind of impression is your children’s ministry making on your attendees? How do you think parents feel when they come to check-in their children on a Sunday morning?

Many of us at Planning Center have worked, and still volunteer, in children’s ministry—we how chaotic check-in time can be. The massive influx of people can completely overpower your volunteers’ ability to facilitate a quick check-in process, much less allow them to connect with parents and kids.

That is why we developed Check-Ins, a Planning Center application designed specifically to help your children’s ministry

Our system is designed to conform to the needs of every children’s ministry and facilitate a speedy and connected check-in experience for volunteers and families!

With Check-Ins, your church can have access to three different kinds of VIDA Tote Bag sunflowers by VIDA 8d1vK
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All stations are designed to protect the personal information of children by limiting exposure to the volunteers checking in the children. The stations can be run from any computer, tablet or mobile device, Apple or Android, and can print name and security labels on multiple printer , so you have options for what would work best for your budget and space!

Check-Ins labels can include information like room assignments, allergies, and the contact information of the parent/guardian who checked in the children for the in case of an emergency.

These safety features of our labels and stations allow parents and guardians the freedom to focus on and enjoy worship, confident their children are safe in your care.

Fun Features:

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within an hour, as you create an environment of peace and confidence for your children, their parents, and your volunteers.

manned
By Ben | Posted May 25, 2017 | 7 min. ( 1365 words)

[Updated 2018]

When starting development on a new front end project, I always ask myself two questions: “Which JavaScript unit testing frameworks should I use?” and “Should I even spend time adding tests?”

My colleagues often writeabout how unit tests are great for peace of mind and reducing software errors. So I always make the time to test . But which framework should you choose for your project? Before rushing into any decisions, I investigated five of the most popular JavaScript unit testing frameworks so you can decide which one is best for you.

always make the time to test

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JavaScript Unit Testing Frameworks: A comparison

One of the most popular JavaScript unit testing frameworks, Louis Vuitton Josephine Gm Khaki Mini Monogram Canvas Hand Bag Strap Q1iBiI
provides you with everything you need out-of-the-box.

My thoughts on Jasmine

I’m not a fan of having the globals populating the environment, so Jasmine does lose a few points in my book there. Otherwise, it has good variety of features out of the box. It does seem slightly “older” than the other frameworks on this list but that is not necessarily a bad thing and any pain points would have been encountered by others, meaning they should be easy to resolve.

A minimalistic testing library, takes advantage of JavaScript’s async nature and runs tests concurrently, which, in turn, increases performance.

My thoughts on AVA

Ava’s “ highly opinionated ” minimalist approach, alongside them not populating the global environment, earns itself big points in my book. The simple API makes tests clear. AVA is certainly a library you should check out when selecting yourJavaScript unit testing frameworks.

The most minimal of all the frameworks on the list, is straight to the point and provides you with the bare essentials.

My thoughts onTape

Tape contains an even lower-level, less feature rich APIthan AVA, and is proud of it. Tapehas kept everything simple, giving you only what you need and nothing more. This is whyTape rates highly in my book and one of the best JavaScript unit testing frameworks, as this allows you to focus more your efforts on your product and less on which tool to use.

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2nd long player by The Dandelion. Recorded at 3 different home studios over 12 months Seeds, Flowers and Magical Powers of The Dandelion is a collection of musical spells projecting images of galactic space travel, pagan witchcraft, love, ethereal energies and a blend of east meets west rhythms and melodies.
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