Trending February 2024 # Use Metrics To Find The Right It Outsourcing Partner # Suggested March 2024 # Top 6 Popular

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Subjective measures come into play as outsourcing moves beyond help-desk applications and mainframe maintenance into helping a company meet its electronic commerce initiatives, or more efficiently run its accounting department. The goals don’t just improve productivity, but they improve processes and new business as well.

The new economy

The Internet plays a major role in the move to value vendors based on more subjective measures. In the Web world, companies are not judging their outsourcer on code per person but on knowledge of Web-based technologies, quick installation of these technologies, and ultimately the company’s customer satisfaction.

Big money goes to outsourcing

Source: International Data Corp., Framingham, Mass.

“A primary driver for outsourcing is access to new technology and access to skilled human resources that a company can’t afford to bring in or doesn’t have the time to bring in and train,” says Cynthia Doyle, senior analyst for information systems outsourcing and business process outsourcing with International Data Corp., in Framingham, Mass.

Chicago-based Andersen Consulting refers to this type of outsourcing as “sourcing.” One partner says the firm has three times the number of sourcing deals in its pipeline as it has traditional outsourcing deals. Virtually all of these opportunities are in electronic commerce.

Typical performance metrics don’t seem to work in the new environment, says one corporate IT employee, familiar with her organization’s outsourcing contracts. Those in the field agree that benchmarks such as local area network uptime, server uptime, the amount of time it takes to close a call to a help desk are all good because they provide quantitative measures. These same experts agree that the challenge is how you qualitatively measure the service your customers perceive they’re getting.

(based on 282 responses in North America)

Source: “Critical Issues of Information Systems Management, 1999,” Computer Science Corp.

These warm and fuzzy terms also come into play because outsourcing vendors are increasingly being judged by business results, notes Bruce Caldwell, a senior outsourcing analyst at Gartner Group Inc., in Stamford, Conn. “Metrics aren’t just faster, better, and cheaper, they’re changing the way companies take care of business, so the outcome is improved over the process,” says Caldwell, who is based in Riverhead, N.Y.

“IT outsourcing relationships have evolved from strictly a client-vendor relationship to more of a partnership,” says IDC’s Doyle. Metrics are now linked to strategic business value and customer satisfaction, she notes. “You can recognize business value through increased productivity or new business opportunities, and increased shareholder value,” she says. “These metrics are very different from traditional outsourcing metrics.”

Business metrics come into play in a variety of outsourcing deals, including business process outsourcing, and are harder to measure. Which cost savings do you measure? Do you include only IT cost savings? In terms of generating revenue, do you give the outsourcer credit for being innovative or simply look at the extra dollars generated?

BP Amoco p.l.c.’s deal with Andersen Consulting, signed in January 2000, is one example of a contract where the vendor will be judged based on more qualitative measures. The $200-million outsourcing agreement calls for BP Amoco’s downstream business to outsource its finance and administrative services to AC. As part of the 10-year agreement, AC will assist BP Amoco’s downstream business in moving manual processes toward electronic commerce. The downstream business accounts for all activities after oil is found, such as distribution, sales, and marketing.

BP Amoco will judge Andersen Consulting on how innovative it is, according to Gartner’s Caldwell. Andersen is “contractually obligated” to bring new ideas to BP Amoco, he says. The ideas need to focus on organizational structure and business processes within the finance and accounting operations. A governance body will ensure the delivery of the “innovation quotient” through a quarterly review, Caldwell notes. The contract also contains a risk/reward component.

Jim Dewar, the Chicago-based commercial manager in BP Amoco’s downstream business, says AC will indeed benefit from using innovative business practices that ultimately drive down costs. In particular, the contract stipulates AC needs to demonstrate innovation in creating Web-based strategies. “We’re looking to move to an e-world, wherever possible, that will facilitate cost savings, but not at the expense of service level delivery,” Dewar says.

Although AC’s global-managing partner for business-process management, Hugh Morris, declined to discuss the specifics of the BP Amoco arrangement, he discussed the terms of a business process and IT outsourcing deal the firm has with another company. AC is evaluated on a 100-point scale. Innovativeness accounts for 20 of those points. The deal is evaluated quarterly, but an annual evaluation determines the overall scoring in all categories and, ultimately, AC’s economic benefit. Morris says the interim and annual results are expected to be similar. AC wins all 20 points in the innovation category by coming up with business-process improvements, says Morris, based in London. In other words, the client will look at the number of new ideas Andersen Consulting generates in a period, how many ideas the client accepts, and the improvements or savings resulting from the ideas.

Look for a partner, not just a vendor. Your outsourcer should be flexible, innovative, and cost-efficient, not just “introduce a solution in place for the sake of introducing the technology,” says a corporate information systems employee who requested anonymity.

Be clear about what you’re outsourcing, the service levels, and expectations. “You should never outsource a problem,” Dewar says. Others concur. “If you haven’t defined the playing field for the outsourcer, you can create serious problems,” says Ken Bohlen, CIO of Textron Inc., in Providence, R.I. Textron has relationships with a number of outsourcing vendors including Plano, Texas-based EDS; IBM, in White Plains, New York; AT&T Solutions in Basking Ridge, N.J.; and El Segundo, Calif.-based Computer Sciences Corporation.

Create a strong review board with representatives from both sides. Learn from past deals. “Every deal can be made better than the one that has gone before,” says Dewar.

Andersen Consulting receives a fixed percentage of any savings during the first two years after the firm generates an idea. AC receives a greater percentage of the savings in year one than year two, Morris says. In addition, the contract has an incentive for AC to come in at or below the financial budget for the deal overall in any given year.

In an IT outsourcing arrangement with a United Kingdom-based utility, AC can receive up to 25 points (out of a total 120) for being flexible. How does AC score 100% in this category? “If the client came to us with a need, did we say ‘this is not in the contract,’ or did we say ‘how can we help’?” says Morris.

In other deals, AC is evaluated on responsiveness. “If somebody calls and says ‘I need help urgently,’ how quickly did we respond? Did we say there were 14 pieces of paper to fill in or that we would be there at 2 p.m.?” Morris says. The quality of the working relationship is also important. It’s evaluated by how respectfully the AC staff treats the client’s employees, and how committed AC professionals are to the client’s concerns, as opposed to their own.

Mixing the two

Morris notes that outsourcing arrangements generally include a mix of quantitative and qualitative metrics. When it comes to the latter, however, Morris says the clients use subjective measures rather than a formula to determine the number of points awarded to Andersen. “AC perceives value in its own way,” he says. “We might suggest that certain activities demonstrate the values they want from us.”

Customer satisfaction is another qualitative measure outsourcers are judged upon–in other words, is the client’s customer satisfied? The percentage improvement in customer satisfaction is being used as a metric, says Barbara Melby, an outsourcing attorney in the Washington, D.C., office of New York City law firm Milbank Tweed Hadley & McCloy, LLP.

One corporate IT employee who wishes to remain anonymous rates customer satisfaction as a top qualitative concern for her company. “It’s difficult to sit with a customer and explain quantitative measures if it affects them personally,” she says. “For example, if our customers place a call and they don’t get the response they want. Even if my outsourcing provider is hitting the mark 99% of the time, those quantitative measures mean nothing to our customer because they were not serviced at the time.”

The company is looking for more proactive partnerships with outsourcers. “We want a partner to deliver services that meet our customer’s need. We want them to be flexible and innovative in bringing the ideas to the table,” the corporate IT employee says.

Despite all the hype qualitative and business-results measures are receiving, quantitative measures are still important. All sources interviewed for this story say that their arrangements include quantitative measures as well. “However, with Web-based technology, the qualitative measures are more important than the quantitative,” says the IT employee.

“Qualitative gauges have a role on performance,” says QSMA’s Mah. “But there are also going to be a lot of hard numbers. When lawyers establish goals, the hard numbers generate commitment.”

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How To Find The Right Computer Repair Service Expert For Your Business

In this technologically-driven world, everyone requires a computer that runs smoothly. It doesn’t matter if you use it at work, school, or home. If your computer slows down, you won’t be able to complete your tasks on time. Computers are essential for daily chores. If they have problems, it can cause serious delays in our lives. It is crucial to have a backup in case of an emergency so your computer can continue working.

These leggings can be overcome by hiring computer repair experts in Dallas. You will find it difficult to repair your computer by yourself so having IT support in Dallas is crucial. It is possible to find reliable computer repair Dallas professionals near you or search online for them. Here are some things to consider before you hire an IT support Dallas professional.

Quality of Services

The quality of services is an important aspect to consider when hiring a computer technician in Dallas. You might have to face computer downtime again if the condition of your computer isn’t good enough for IT support Dallas experts. This could cause you to spend more on repairs. It is easy to decide whether or not you want to hire a computer repair Dallas professional.

Types of Services

It is also important to think about the services and products that IT support Dallas experts offer. Many computer repair experts provide limited services. You should choose a computer repair Dallas specialist who offers a wide range of services that are tailored to your technical needs. You should look for a company that offers many different types of computer repair services to ensure your computer is properly diagnosed and the best possible solutions are implemented.

Also read:

Best 10 Email Marketing Tools in 2023

Data Recovery

Availability of the Provider

Ask about the availability of an IT support Dallas expert before you hire. If you have an emergency, experts should respond quickly. It is also important to ask how long it takes to resolve a complaint. You can count on a reliable repair company to be there for you 24 hours a day. They offer excellent customer service. Hire those experts who are focused on customer satisfaction. Ask the experts to provide a data backup 24 hours a day.

Skills of the Expert

Cost of the Services

Negotiate with the expert on the price to get the work done at an affordable price. Remember that you only get what you pay. As a result, it might not be a good idea to settle for experts that charge less as their quality might suffer. Don’t settle for low or high prices. Before you settle for the amount, make sure to conduct a market study.

When searching for the right computer repair Dallas professional, don’t be impatient. These points may help you make the right choice when choosing the right expert.

3 Key Types Of Link Building Metrics & How To Use Them Successfully

The Internet has ushered us into an era where many believe that everything can (and should) be measured and acted upon.

As the more modern saying goes: If you don’t measure it, you don’t care about it.

The thing is, while we clearly have more data than Wanamaker had over 100 years ago, we don’t always know which data matters the most.

Worse still, having the data doesn’t mean that we use it to make the right decisions.

This can apply across all digital marketing channels – especially SEO. More precisely, it is too easy to misunderstand and misuse data associated with link building.

When we measure the wrong data points and metrics, a bunch of not-great things can happen:

We think that we’re doing a good job but actually aren’t.

The wrong behaviors can be triggered, leading to work that is below standard.

We measure the impact of our work in a way that isn’t tied to real business outcomes.

Let’s take a closer look at some of link building metrics available and assess how we should – and shouldn’t – be using them.

1. Domain and Page Quality Metrics

The most obvious place to start is with the abundance of metrics that various tool providers have created to help assess link value and quality.

Here are a few:

TrustFlow and CitationFlow from Majestic.

Domain Authority and Page Authority from Moz.

Domain Rating from Ahrefs.

Domain Score from Semrush.

Most of these are available for free. We all have our favorites, and many use more than one or even our own proprietary versions.

No matter which one(s) you use, there are a few things to think about if you’re going to use them and a few pitfalls to watch out for.

Use As An Indicator Of Ranking Potential

Many of these metrics are designed to replicate how Google PageRank works (which we no longer have access to) but are going to fall way short of what Google is capable of calculating and using across the web.

They are also generally designed to give an idea of how well a domain or page is going to rank in comparison to another.

They are not exact metrics that can give you an exact answer to a question and therefore should not be used in this way.

Instead, use them to understand one possible reason why one domain or page may rank better than another: The volume and quality of links pointing to them.

Of course, there are many reasons why one domain may rank higher than another, so checking a metric such as Domain Rating or Domain Authority can give you an idea of how links may be a factor.

That becomes a starting point to dig deeper into those links or to look at other areas that you could influence to improve organic search rankings.

Use To Sort And Filter Link Building Prospects

Another good use of metrics such as Domain Rating or Domain Authority is to sort large lists of domains so that you can focus your link building efforts.

While there are other factors such as relevance that need to be thought about, using a raw metric like this and ordering domains from the highest scores to the lowest ones can help.

Let’s say that you’ve gathered a list of 300 potential domains that appear relevant to your link building efforts, you’ll need to find somewhere to start.

Pulling in a metric can do this job pretty well so that you start your link building process with domains that are likely to be the strongest in terms of link equity.

Again, this isn’t a concrete rule, but this is a useful way to use these metrics.

Use for Link Profile Auditing

If you are trying to audit a link profile, you’ll likely need to gather and review data on hundreds, thousands, or tens of thousands of linking domains.

When faced with this kind of task, using metrics can help you find potential problems with your link profile or unusual patterns.

As an example, if you pull data for your link profile and find that a high proportion of them have a Domain Authority or Domain Rating of below 10, then this gives you a good starting point for potentially low-quality links.

On the other hand, you may find an unusually high proportion of your links are in the DA90+ range. This could mean that some digital PR activity has taken place previously, leading to lots of links from top-tier domains.

Either way, gathering these types of metrics can give you direction for the rest of your link audit and show patterns that you may not otherwise spot.

2. Link Attributes – Nofollow, Sponsored, and UGC

Next, let’s look at a very common data point that SEO pros use when link building – link attributes including nofollow, sponsored, and UGC.

We’re going to talk about nofollow because this is by far the most common, given that sponsored and UGC are relatively new.

Don’t Ignore The Value Of Nofollow Links For Ranking Purposes

Historically, the common belief has been that links using the nofollow attribute have zero impact on organic search rankings at all.

While there has been some debate and anecdotal evidence to the contrary, it was generally accepted because Google openly stated that these types of links would pass no PageRank.

Then, in 2023, Google announced that they were softening this stance a little and that, in fact, links with the nofollow attribute may be taken into account as a “hint.”

In classic Google fashion, they didn’t guarantee that they would or wouldn’t do this – simply that they reserve the right to.

In reality, this is likely to mean that they use a bunch of other signals to determine if they should count a nofollow link in their link graph or not.

For example, if a domain has a good history, high-quality content, and is free of spam, they may well decide that these factors outweigh the nofollow attribute and that PageRank should flow across it.

In this case, they may see that the use of nofollow is appropriate and will pretty much ignore this link for ranking purposes.

Overall, due to the uncertainty around Google using nofollow links (or not) to understand whether a page should rank better or not, it’s not wise to use a blanket rule that they all should count in the same way as standard links.

At the same time, we can be reasonably sure that Google does count them at least to some extent.

Assuming you’re building generally good links with lots of other positive attributes, then it’s a fair rule to count any nofollow links to some extent for ranking purposes.

Remember The Value Of Traffic

One thing that often gets overlooked when it comes to nofollow links is that they still have the ability to send traffic to your domain.

I like to think about how we’d approach link building if links themselves didn’t make any difference whatsoever to organic search rankings.

The fact that links can influence organic search results doesn’t mean that we can’t still have the same mindset and approach. Building links that send traffic can add another layer of value to your work beyond rankings.

At a time when it’s becoming increasingly difficult to isolate the ranking impact of particular links, being able to show your value with traffic is going to become more and more important.

3. Links From New vs. Existing Domains

Many agencies and in-house teams will keep an eye on whether their link building efforts are leading to links from new domains or existing ones.

While this isn’t a bad thing to look at, there are ways to look at it that may not be immediately obvious or initially seen as valuable.

Increase Your Focus On Links From New, Relevant Domains

Assuming that the quality and relevance of your links is pretty high, getting links from domains that you’ve never received links from before can be more valuable than an existing link – but not for the reason you may think.

If you get a link from a domain where you’ve never been featured before, you’re getting yourself in front of a largely fresh audience.

Increasing your reach like this to a relevant audience can come with benefits beyond organic search, such as increased brand awareness and new visitors.

Even if we’re not hoping for any value from an organic search perspective, links like this will add value to your work and should be considered as part of your digital strategy because they add real value to the business.

Don’t Discount Links From Domains You Already Have

On the other end of the scale, I’ve seen in-house SEO professionals (and even some agencies) completely discount links from domains that have linked to them before.

The rationale appears to be that once they have one link, any future ones will not be valuable.

The thing is, links from the same domains can add more value for a few reasons:

The trust shown by linking to you is reinforced over and over again, showing Google that it wasn’t just a one-off or fluke.

Pages get deleted from the web all the time. Just because you have a link already doesn’t mean that it will remain there forever. Getting more links from more pages will help to combat this.

The more links you have, the more visibility you have on that domain and the more chances you have to generate traffic to your website.

The last one is really important for me.

If you build a link from a domain, you’ll be able to see pretty quickly and reliably whether it sends traffic to you or not.

If you see traffic coming through and this traffic appears to be valuable, you should absolutely be looking for ways to work with the domain more and get more links in the future.

To Wrap Up

In summary, don’t let any single metric or data point distract you from what you’re really trying to accomplish – adding value to the business.

Metrics can help you in a number of ways but can also work against you if you’re not careful.

Ensure that when you’re using metrics and data points in link building, they:

Drive the right kinds of behaviors.

Ultimately lead to business outcomes.

Allow you to understand whether you’re doing a good job.

More Resources:

Featured Image: VZ_Art/Shutterstock

How To Create And Use Find Function In Sas?

Introduction to SAS Find

SAS Find is the function to find the input characters on the required user inputs. It will accept all the special characters, including operators and signs. Additionally, the length is used for calculating total characters among the searches finding the occurrence of the specified substring, and returning the same position of the strings. The argument will be single varchar and multi-byte characters for processing the data in SAS.

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The SAS find is one of the functions that can be used to search the string characters finding the position of the data occurrence in specified substring returning the character position of the strings, substrings its not found in the first occurrence of the string and to return the integer value as 0 optional arguments are modified with the modifiers that specified to the one or more in dataset position.

Key Takeaways

It is the function and accepted for the I18N standard for designed SAS data.

The first occurrence of the string character is calculated and specified with the multi-varchar bytes.

So that it will process the find function in the multi-byte data.

Specified character, variables, constants, expressions, and other keywords.

The substring characters are calculated, and add the modifiers as optional parameters.

How to Use SAS Find?

In SAS, find function which helps to find the input strings for the first position and occurrence of the specified substring. It will return the substring position that cannot be found on the character string, substring, modifier, or start-position of the strings with optional arguments on the startpos of the Value. It helps to start the new search position of each character, and the same will be located in each direction from the right side. Suppose the start position of the string length is greater than the find position method to return the Value as an integer in 0.

But a lesser position of the strings will use to start the position in search strings and similar to directions for searching the left side of the strings, and it will compare to other position of the strings that is greater than the string length and starts the string yet to be completed of the string. It equals to return the 0 as the integer format and comparison of the Find function in every search character on each string whereas the FINDC function for searching the individual characters of every string. The find function of the string is calculated on each Index function for searching substrings of the character strings that do not use the modifier or first character string arguments.

Steps to Create SAS Find

Given below are the steps to create SAS find:

1. Navigate to below link.

3. Paste the below code for to creating the dataset.

4. data August1;

5. input a $1-20;

6. datalines;

7. Welcome To My Domain

8. Have a Nice day

9. Hello how are you

10. Thank you for your Patience

11. ;

12. run;

13. proc print data=August1;

14. Then we can use the find() method for to search the position of the strings.

15. data August2;

16. set August1;

17. res = find(a, “how”);

18. run;

19. Here we used the find() method to find the characters of the given strings.

SAS Find Function

SAS Find is the function to find the input characters on the required user inputs. It will accept all the special characters, including operators and signs. Additionally, the length is used for calculating total characters among the searches finding the occurrence of the specified substring and returning the exact position of the strings. The argument will be single varchar and multi-byte characters for processing the data in SAS.

The SAS find is one of the functions that can be used to search the string characters finding the position of the data occurrence in specified substring returning the character position of the strings, substrings its not found in the first occurrence of the string and to return the integer value as 0 optional arguments are modified with the modifiers that specified to the one or more in dataset position.

Key Takeaways

It is the function and accepted for the I18N standard for designed SAS data.

The first occurrence of the string character is calculated and specified with the multi-varchar bytes.

So that it will process the find function in the multi-byte data.

Specified character, variables, constants, expressions, and other keywords.

The substring characters are calculated, and add the modifiers as optional parameters.

How to Use SAS Find?

In SAS, find function which helps to find the input strings for the first position and occurrence of the specified substring. It will return the substring position that cannot be found on the character string, substring, modifier, or start-position of the strings with optional arguments on the startpos of the Value. It helps to start the new search position of each character, and the same will be located in each direction from the right side. Suppose the start position of the string length is greater than the find position method to return the Value as an integer in 0.

But a lesser position of the strings will use to start the position in search strings and similar to directions for searching the left side of the strings, and it will compare to other position of the strings that is greater than the string length and starts the string yet to be completed of the string. It equals to return the 0 as the integer format and comparison of the Find function in every search character on each string whereas the FINDC function for searching the individual characters of every string. The find function of the string is calculated on each Index function for searching substrings of the character strings that do not use the modifier or first character string arguments.

find(variable,”string”,”i”)

Output:

Above code the find() method with the variable name, string and i. Here i denotes the parameter which helps to tell the SAS like ignoring the case for the specified input string which is followed by the parameter like “string” and sunstring. The index of the specified string character is printed on the output console.

SAS Find a Substring

We know that SAS find helps to find the character of the strings and their occurrence like that substring. The find function also checks and whether the given input string contains the specified characters or a combination of the input characters including the single character. It will operate the position of the input strings and also check the condition like whether the input string is substring or not. Finally, it will return the SAS input value as 0 in integer format.

The above screenshot helps to find the substring for the mentioned input strings here I used “and”.

Word for to find the position of the inputs and calculate each character and displayed the value in the variable.

Example of SAS Find

Given below is the example mentioned:

Code:

data August5; input inps $1-10; datalines; August is the current month September is the next month July is the previous month October is the next two month November and December is the next third and fourth month ; run; proc print data=August5; data August6; set August5; res1 = find(inps, "is","i"); run;

Output:

1. Above is the basic example for calculating and finding the string occurrence of the mentioned input strings.

2. Here first we declared the datasets on the first set.

3. Then after the creation of the dataset then we need to find the string characters of the input strings.

Here we mentioned the character is “is” along with “i” helps to ignore the cases.

Finally, we get the output result as below:

The is calculated for every occurrence of the inputs and the same will be printed on the variable output.

Frequently Asked Questions

Given below are the FAQ mentioned:

Q1. What is SAS find()?

Answer:

SAS find() is the function and helps to identify the string occurrence of the given inputs.

Q2. Mention the syntax of the SAS find().

Answer:

Find(variable, “string”, optional arguments or modifiers)

Here optional arguments or modifiers are used like “I, t,,”.

Q3. Define SAS substring in find().

Answer:

The Substring is like the character constant, variable, and expressions specified with the string characters.

Q4. How to find the specific string in SAS?

Answer:

Use find() function to find the position of the strings with required datasets and syntax.

Q5. How to find the character in SAS?

Answer:

With the help of the index function, the string characters are identified including special characters, letters, operators, etc.

Conclusion

The SAS find() is one of the pre-defined functions in SAS that helps to search the string characters, letters, etc. For to find the position of the string in each occurrence in various ways additionally include the index function to calculate the characters of each string in the datasets.

Recommended Articles

This is a guide to SAS Find. Here we discuss the introduction, how to use and steps to create SAS find, example, and FAQ respectively. You may also have a look at the following articles to learn more –

Bloomreach Launches Content Quality Metrics

BloomReach today released Continuous Quality Management (CQM) technology delivering ongoing web page quality visibility and management. If you haven’t checked out BloomReach, they are a pretty sweet analytics software that helps customers analyze the long tail.  CQM introduces four types of continuously updated quality metrics for every page managed by BloomReach including content, behavior, uniqueness and flux.  CQM gives marketers more control over the quality of each page published by combining marketer judgment with machine-learning to deliver the best user experience, matching content to intent.

The Metrics of Continuous Quality Management

The four types of metrics within CQM are Content, Behavior, Uniqueness and Flux. Every metric can be used for analysis, filtering and to set thresholds for action.

Content is determined by interpreting a page’s topic and comparing the content to the topic.  Content Quality considers the number of unique, relevant products on the page as well and the fit of the products and their attributes to the intent.

Behavior is measured by integrating traffic metrics such as bounce rate, conversion in addition to other factors.

Uniqueness is measured using BloomReach’s

Dynamic Duplication Reduction (DDR)

technology to determine how much of the content on the page is unique versus other pages on the site.

Flux captures the rate of change of products on the page, which is critical to understanding why quality can degrade over time and critical to predicting pages that require further inspection.

“The perfect balance of technology for generating high-quality content and relevant experiences are those that let machines do what they do best – interpret and act on unmanageable amounts of data – and leave the fine tuning and quality assurance to humans,” said Raj De Datta, CEO of BloomReach. “The launch of CQM gives e-tail marketers a proven tool to manageably capture the long tail at scale with high quality, relevant content.”

I’m interested to see where this technology takes our World.  Does anyone use these guys, I’d love to have a deeper understanding of how they are liking the service.

Python Program To Calculate The Sum Of Right Diagonal The Matrix

A well-liked general-purpose programming language is Python. It is applied in a variety of industries, including desktop applications, web development, and machine learning. Fortunately, Python features a straightforward, user-friendly syntax for beginners. Here, in our article we will be using python for calculating the sum of right diagonal of the matrix.

What is a Matrix?

In mathematics, we use a rectangular arrangement or a matrix, which is used to describe a mathematical object or an attribute of one, it is a rectangular array or table containing numbers, symbols, or expressions that are arranged in rows and columns.

For Instance −

2 3 4 5 1 2 3 6 7 5 7 4

Hence, this is a matrix with 3 rows and 4 columns, which is represented as 3*4 matrix.

Now, there are two diagonals in the matrix i.e the Primary or Principal diagonal and the Secondary diagonal. Primary or principal diagonal is the diagonal starting from the upper left corner to the lower right corner and the secondary diagonal starting from lower left corner to the upper right corner.

From the above example we see that both a00, a11 are the principal diagonal (left diagonal) and a10, a01 is the secondary matrix (right diagonal), as shown below

2 3 a00 a01 1 2 a10 a11 Sum of Right Diagonal of the Matrix

As we have revised the basics concepts and we have a complete understanding of the matrix and the diagonals let’s dive deep into the topic now and complete the coding part of the concept.

For calculating the sum let’s take a 2D matrix. Consider a 4*4 matrix with elements

Here, a00, a11, a22 and a33 are the elements of the primary or principal diagonal of the matrix. The secondary or right diagonal consists of elements a30, a21, a12 and a03.

There is an important condition to consider before completing this task: for taking out the sum of elements present in the primary diagonal, it must fulfill what is known as the row-column condition which states that for every element in each row there must be an equivalent column number.

Similarly, for calculating the sum of elements on the secondary diagonal (a03, a12, a21 and a30), its row-column condition will be equal to number of rows minus column -1.

2 4 6 8 a00 a01 a02 a03 3 5 7 9 a10 a11 a12 a13 1 4 6 7 a20 a21 a22 a23 3 5 1 4 a30 a31 a32 a33 Using For Loop

In this method, we will use two loops for the purpose, that is for the rows and columns and an inner loop for checking the condition we have provided.

Algorithm

Give a value that is MAX.

Define a function for the matrix.

Use for loop for iterating through the numbers

Provide the condition for the right diagonal of the matrix.

Print the value.

Example

This example defines a constant MAX with the value 50, and then creates a function named SUM_RIGHT_MATRIX which takes in a matrix and an integer.

The function adds together all of the numbers on the right diagonal of the given matrix (i.e. from top right to bottom left) and prints out the sum.

MAX = 50 def SUM_RIGHT_MATRIX (matrix, m): rightD = 0; for i in range (0, m): for j in range (0, m): if ((i + j) == (m - 1)): rightD += matrix[i][j] print ("Sum of right diagonal is:", rightD) T = [[ 13, 21, 33, 45 ], [ 52, 16, 27, 28 ], [ 17, 28, 31, 43 ], [ 54, 26, 87, 28 ]] SUM_RIGHT_MATRIX (T, 4) Output

On the execution of the above program, we get the “Sum of right diagonal is: 155”. This means that the total sum of all numbers in the right diagonal is 155.

Sum of right diagonal is: 154 Using a Single Loop

The sum of the major and secondary diagonals is calculated using a single loop in this approach.

Algorithm

Give a value that is MAX.

Define a function for the matrix.

Use for loop for iterating through the numbers.

Provide the condition for the right diagonal of the matrix.

Print the value.

Example

The following example is defining a function called sumofrightdiagonal, which takes in two parameters: a matrix and m.

It iterates through the matrix and adds together each of the numbers on the right diagonal of the matrix, storing them in a variable called right_diagonal.

Finally, it prints out “Sum of Right Diagonal is:” followed by the value stored in right_diagonal. The example also includes an example input of T (a 4×4 matrix) with m being equal to 4, so that when Sumofrightdiagonal is called with these values as its parameters, it will calculate and print out the sum of all elements on T’s right diagonal.

MAX = 50 def sumofrightdiagonal (matrix, m): right_diagonal = 0 for i in range (0, m): right_diagonal += matrix [i] [m - i - 1] print ("Sum of Right Diagonal is:", right_diagonal) T = [[ 11, 12, 33, 24 ], [ 54, 69, 72, 84 ], [ 14, 22, 63, 34 ], [ 53, 64, 79, 83 ]] sumofrightdiagonal (T, 4) Output Sum of Right Diagonal: 171 Conclusion

In this article, we have briefly discussed about the two simple methods using python program to calculate the sum of right diagonal of the matrix. The first method uses two loops for completing the task provided to us while the second method provides us an efficient approach of completing the same task but with a shorter path.

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