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Mathematical identity

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A mathematical identity is a type of mathematical equality, between algebraic expressions that is verified for any value of some variable of all those that intervene in the expression. It is nothing more than the behavior of said expressions, how they will react to any value that we want to study, we could say, figuratively speaking, that it is the “personality” that specific algebraic expressions possess.

A simple example:

ax + bx = x (a + b)

It is an identity since, whatever the values of a, b and x are, the equality that we wrote above will always be fulfilled. So if we put it in numbers:

a = 1, b = 2 and x = 3

ax + bx = x (a + b) -> 1.3 + 2.3 = 3 (1 + 2) -> 3 + 6 = 3.3 -> 9 = 9

Therefore, the equality holds.

Without realizing it you will have seen lots of these identities, when you studied algebraic functions and their properties (distributive, commutative, associative, etc.), here this phenomenon is simply given a concrete name.
I am going to put a few more examples so that you can observe that it is always the same, the only thing that will change are the expressions, but the concept is common to all of them: what both sides of the equality say are constantly being fulfilled. Their primary function is to simplify an expression that would otherwise be complex for us.

>> Examples:

Thus we can know that the sum by difference of the binomials is the difference squared of the terms b and a, without having to multiply one by one.

In this way, although it is correct, we lose valuable time that we would save by knowing that identity, come on, think about the poor mathematicians who broke the coconut so that you would know these identities, do not say that it was in vain.

Jokes aside, we must not forget trigonometric identities (those that use sines and cosines), which is more of the same but refers to angles

These are even more useful, since they take us away from doing cumbersome calculations. I’m not going to say where they come from, because for this we already have a topic related to this.

What I am going to explain to you is the following, we agree that, for an identity to be fulfilled, the equality proposed for any value must be fulfilled, but what would happen if, for a certain value, that equality was not fulfilled ? Would we be facing an identity?

In this case, it is always true, since, whatever the values of a and b are, the difference of their squares will always be equal to the sum by difference.

This is an equation of the second degree, for it, we find two solutions:

x = 1 and x = 2

If we try with any other value, for example 5, the following happens:

With x = 1 however:

** Hint: If you have doubts about whether a solution is correct, substitute it in the equation, to see if it fulfills the equality.

Here I stay with this introduction to mathematical identities, see you in another laguia2000 article.

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My Custom Spotify Code Playlist Keyring

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I recently received a unique Spotify code Engraved Keychain for Birthday gift from my bestie. This was a big surprise for me as i never expected this to be my Birthday Gift. The Spotify code was Engraved on a Flat Stainless Steel rectangle keychain and had my favorite Song playing when i scanned it right away.

This was the gift that made my Day.

The Keychain came wrapped professionally in a plastic foil so it reached me in the best condition.
Now i take my favorite song with me everywhere i go with these scannable keychain, Get your friends or loved one’s favorite song engraved and give it to them as a gift they would love. Its a unique gifting Idea to send them a Scannable Spotify Song Code Key ring / Key Chain.

Engraved4ever.com has got many options where they engrave the Spotify scannable song or playlist code.
They engrave it on Flat Keychains, Bar pendant Keychains, Bar pendant necklaces, Spotify code on Guitar picks, Spotify Code engraving on Bracelets.

So get your Custom Spotify Code Playlist Keyrings Personalized. For Best Spotify Song Code Keychain & Gift For Him & Her visit Engraved4ever.com

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Tips For Buying Glasses: How To Choose The Most Suitable

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A carefully chosen new pair of eyeglasses will not only add to your appeal, but will reinforce and become part of your personality. It is obvious that prescription lenses must provide the person with optimal vision. Your optometrist can help you not only in choosing the frame that best suits you, but can also customize your prescription lenses according to your needs.

Sometimes there is no alternative but to buy a new pair of eyeglasses. And not just because your vision has changed, but because of the unstoppable pace of fashion or because you need a second pair for certain activities. It may also be that yours are outdated. However, as a result of the wide selection available today, buying a new frame and lenses is no longer an easy task. Today, good optometrists offer their clients an endless variety of different models and features. But anyone who knows what they are looking for will easily find the perfect pair of glasses.

Scope of use of new glasses

A very important criterion when buying new eyeglasses is the possibility of combining them. This criteria can vary greatly from one user to another. One of the first questions to ask yourself is: what do I need the glasses for or what do I mainly need them for? A person who works all day with the computer will need different glasses than someone who works mainly outdoors or performs sports activities. The more information the optometrist has (a good professional will always ask you a lot of questions), the easier the selection process will be. Compare your experience buying new glasses with buying a car. The optometrist will inform you and show you all the “characteristics” that may suit you better.

State-of-the-art technology

Another maxim when buying glasses: the more individualized the glasses, the better results will be obtained in terms of quality of vision, comfort characteristics and tolerance, for example in the case of multifocals. The concept is similar to that of a tailor-made suit, as opposed to purchasing a standard garment, which may fit well, but does not offer a guarantee. 

Choosing prescription lenses

Once you have found a good optometrist, it is normal to take a look around the store looking for some nice frames. But not all prescription lenses are suitable for all types of frames, so it is advisable to choose the lenses first. If you want to relax and improve your vision, it is obvious that prescription lenses represent the most important component of your new eyeglasses. Only proper prescription lenses can guarantee the improvement of your vision.

The mounts

With regard to frames, the optometrist usually selects some models that seem appropriate beforehand, since he knows your product offering and will also be the one to help you achieve your goal given the wide range of possibilities. Be sure to make your color, material and price preferences clear from the start. The most important thing is that the new glasses harmonize with the shape of your face and be Compatible with chosen prescription lenses.

The following generally applies: People with round faces should opt for angular frames, while people with angular faces are better suited to a round frame. Oval-faced people are lucky enough to be able to choose the shape they want. Optometrists often advise people with triangular or heart-shaped faces to opt for a slim, oval frame.

Another thing to consider when buying a frame is the material. It is obvious that the weight of the glasses plays an important role in the decision. A new frame should be comfortable from the moment you try it on. If you have any type of allergy, it is important that you ask about the composition of the frames.

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Benefits Of Outsourcing Services In A Company

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Outsourcing services has become a vital alternative for many companies for various reasons: it provides agility, professionalism, saves time, reduces costs, improves efficiency and increases productivity. And in addition, it fully adapts to the requirements set out in the General Data Protection Regulation (RGPD). But there is much more. And we want to share it with you in this post. Let’s start!

What is the outsourcing of services?

Subcontracting of services or people with a specific management model, where periodic follow-up meetings, call, SLAs, etc. are defined. The services provided are, in general, user support, infrastructure maintenance, development, correction or evolution of applications, among others. It is a model with specific management tools with solutions for ticketing, reporting, etc., although these services may vary from one company to another.

Outsourcing solutions are designed with very diverse objectives, such as reducing IT costs and administration problems while complying with the GDPR. IT management encompasses:

Currently, companies are forced to invest in heterogeneous and proprietary tools instead of going towards ‘as a Service’ paradigms that offer differentiation by levels of attention, support and monitoring. The outsourcing of services can provide speed, high training, savings, administration and supervision.

More than 30% of SMEs do not have a backup solution, and of those who do, only 8% check the validity of the data contained, with 17% of the copies made failing. Some outsourced services are: backup of physical or virtual machines, physical backup to cloud and cloud to cloud, backup management of hybrid environments, etc.

Around 85% of SMEs have difficulty finding the budget to deploy a backup or Disaster Recovery solution for their data. Of those who decide to implement it, more than 80% find the solution complex or lacks functionality. Some DR services are: recovery of information in the event of data unavailability, or availability of data in the event of contingencies in the cloud or On Premise.

The Managed Services offered by companies may vary from company to company. There are very different technical solutions, it all depends on the needs of each company. For example: infrastructure control, IT environment security, storage expansion, implementation and replacement services, among others.

How to improve your IT infrastructure?

Operational and application continuity are responsible for providing customers with the operational and available IT infrastructure they need. Therefore, managed services companies must offer their clients the possibility of seeing their work, the service evolution reporting offer, etc. In this way, they will be able to appreciate the evolution. Keep in mind that the areas in charge of making decisions will be the Operations, Monitoring and Management Committees.

What are the current needs of your company? Have you thought about outsourcing part of your services? Managed services can be adapted to the current needs of your business, regardless of whether you want to outsource a part of IT or all of it. The ultimate goal is for your company to enjoy the highest possible quality.

10 benefits of outsourcing services in your company

Outsourcing solutions are designed for those clients who seek or need to outsource the management of part or their entire technological infrastructure. These services integrate everything organizations need to scale to another level. Next, we show you the advantages of carrying out this outsourcing:

  1. Reduction of costs for computer support, optimization of processes, training and qualification of personnel, among others.
  2. Immediate assistance and on-site or remote support.
  3. Technical assistance to equipment, infrastructure and networks.
  4. A single contract for all the devices and infrastructures of the company.
  5. Focus efforts on the most important tasks and key activities of your business.
  6. Leave minor activities in the hands of trusted providers specialized in the field.
  7. Save time, thus improving the efficiency of the company.
  8. Optimization of business processes, achieving the simplification of all procedures.
  9. Increase all the growth potential of the company and take on new challenges.
  10. Improve financial problems of liquidity and cash flow.

Many CEOs need support, advice and technological partners that allow them to take their ICT infrastructures to the level they need. The providers of this type of service are specialists in critical environments and can ensure high availability and operation, integrating the company’s processes with technology.

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