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formi (present formas, past formis, future formos, conditional formus, volitive formu)

formi - Wiktionary, the free dictionary

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Author:
(1) Yitang Zhang. Table of Links Abstract & Introduction
Notation and outline of the proof
The set Ψ1
Zeros of L(s, ψ)L(s, χψ) in Ω
Some analytic lemmas
Approximate formula for L(s, ψ)
Mean value formula I
Evaluation of Ξ11
Evaluation of Ξ12
Proof of Proposition 2.4
Proof of Proposition 2.6
Evaluation of Ξ15
Approximation to Ξ14
Mean value formula II
Evaluation of Φ1
Evaluation of Φ2
Evaluation of Φ3
Proof of Proposition 2.5 Appendix A. Some Euler products Appendix B. Some arithmetic sums References 3. The set Ψ1 Let ν(n) and υ(n) be given by respectively. It is easy to see that Lemma 3.1. Assume (A) holds. Then Proof. Let which has the Euler product representation For σ ≥ σ0 > 0, by checking the cases χ(p) = ±1 and χ(p) = 0 respectively, it can be seen that and the implied constant depending on σ0. Thus φ(s) is analytic for σ > 1/2 and it satisfies for σ ≥ σ1 > 1/2, the implied constant depending on σ1. The left side of (3.2) is Lemma 3.2. Assume (A) holds. Then we have Proof. As the situation is analogous to Lemma 3.1 we give a sketch only. It can be verified that the function is analytic for σ > 1/2 and it satisfies for σ ≥ σ1 > 1/2, the implies constant depending on σ1. Also, one can verify that This completes the proof. Lemma 3.3. For any s and any complex numbers c(n) we have and Proof. The first assertion follows by the orthogonality relation; the second assertion follows by the large sieve inequality. Let By (3.1) we may write By Cauchy’s inequality and the first assertion of Lemma 3.3 we obtain Thus we conclude Lemma 3.4. The inequality Write Assume that (A) holds. By Cauchy’s inequality, the second assertion of Lemma 3.2 and Lemma 3.1, Thus we conclude Lemma 3.5 Assume that (A) holds. The inequality Let Assume that (A) holds. By Cauchy’s inequality, the first assertion of Lemma 3.2 and Lemma 3.1, Thus we conclude Lemma 3.6. Assume that (A) holds. The inequality We are now in a position to give the definition of Ψ1: Let Ψ1 be the subset of Ψ such that ψ ∈ Ψ1 if and only if the inequalities (3.4), (3.5) and (3.6) simultaneously hold. Proposition 2.1 follows from Lemma 3.4, 3.5 and 3.6 immediately. This paper is available on arxiv under CC 4.0 license. Author: (1) Yitang Zhang. Author: Author: (1) Yitang Zhang. Table of Links Abstract & Introduction Notation and outline of the proof The set Ψ1 Zeros of L(s, ψ)L(s, χψ) in Ω Some analytic lemmas Approximate formula for L(s, ψ) Mean value formula I Evaluation of Ξ11 Evaluation of Ξ12 Proof of Proposition 2.4 Proof of Proposition 2.6 Evaluation of Ξ15 Approximation to Ξ14 Mean value formula II Evaluation of Φ1 Evaluation of Φ2 Evaluation of Φ3 Proof of Proposition 2.5 Abstract & Introduction Abstract & Introduction Notation and outline of the proof Notation and outline of the proof The set Ψ1 The set Ψ1 Zeros of L(s, ψ)L(s, χψ) in Ω Zeros of L(s, ψ)L(s, χψ) in Ω Some analytic lemmas Some analytic lemmas Approximate formula for L(s, ψ) Approximate formula for L(s, ψ) Mean value formula I Mean value formula I Evaluation of Ξ11 Evaluation of Ξ11 Evaluation of Ξ12 Evaluation of Ξ12 Proof of Proposition 2.4 Proof of Proposition 2.4 Proof of Proposition 2.6 Proof of Proposition 2.6 Evaluation of Ξ15 Evaluation of Ξ15 Approximation to Ξ14 Approximation to Ξ14 Mean value formula II Mean value formula II Evaluation of Φ1 Evaluation of Φ1 Evaluation of Φ2 Evaluation of Φ2 Evaluation of Φ3 Evaluation of Φ3 Proof of Proposition 2.5 Proof of Proposition 2.5 Appendix A. Some Euler products Appendix A. Some Euler products Appendix B. Some arithmetic sums Appendix B. Some arithmetic sums References References 3. The set Ψ1 Let ν(n) and υ(n) be given by respectively. It is easy to see that Lemma 3.1. Assume (A) holds. Then Lemma 3.1. Assume (A) holds. Then Proof . Let Proof which has the Euler product representation For σ ≥ σ0 > 0, by checking the cases χ(p) = ±1 and χ(p) = 0 respectively, it can be seen that and the implied constant depending on σ0. Thus φ(s) is analytic for σ > 1/2 and it satisfies for σ ≥ σ1 > 1/2, the implied constant depending on σ1. The left side of (3.2) is Lemma 3.2. Assume (A) holds. Then we have Lemma 3.2. Assume (A) holds. Then we have Proof . As the situation is analogous to Lemma 3.1 we give a sketch only. It can be verified that the function Proof is analytic for σ > 1/2 and it satisfies for σ ≥ σ1 > 1/2, the implies constant depending on σ1. Also, one can verify that This completes the proof. Lemma 3.3. For any s and any complex numbers c(n) we have Lemma 3.3. For any s and any complex numbers c(n) we have and and Proof . The first assertion follows by the orthogonality relation; the second assertion follows by the large sieve inequality. Proof Let By (3.1) we may write By Cauchy’s inequality and the first assertion of Lemma 3.3 we obtain Thus we conclude Lemma 3.4. The inequality Lemma 3.4. The inequality Write Assume that (A) holds. By Cauchy’s inequality, the second assertion of Lemma 3.2 and Lemma 3.1, Thus we conclude Lemma 3.5 Assume that (A) holds. The inequality Lemma 3.5 Assume that (A) holds. The inequality Let Assume that (A) holds. By Cauchy’s inequality, the first assertion of Lemma 3.2 and Lemma 3.1, Thus we conclude Lemma 3.6. Assume that (A) holds. The inequality Lemma 3.6. Assume that (A) holds. The inequality We are now in a position to give the definition of Ψ1: Let Ψ1 be the subset of Ψ such that ψ ∈ Ψ1 if and only if the inequalities (3.4), (3.5) and (3.6) simultaneously hold. Proposition 2.1 follows from Lemma 3.4, 3.5 and 3.6 immediately. This paper is available on arxiv under CC 4.0 license. This paper is available on arxiv under CC 4.0 license. available on arxiv

Critical Inequalities and Their Role in Forming the Set Ψ1 in L-Function Theory 

Zero-knowledge proofs (ZKPs) and Quantum Computing are two phenomenal discoveries in the advancement of technology and great solutions for absolute data privacy and security, higher processing power, and faster transactions. While are heavily embraced in the blockchain realm for scaling, there are several stereotypes of Quantum Computing being the "blockchain destroyer,” considering the adverse effect it could potentially have on the cryptographic technology. However, on a broader spectrum, Quantum Computers possess unparalleled processing power to perform massive calculations at unimaginable speeds, and this ability can be harnessed to improve and boost blockchain technology. ZKPs Sandwishing ZKP and Quantum Computing can create a force whose magnitude will be felt way beyond the realm of blockchain technology to accommodate state-of-the-art privacy, security, and scalability solutions to an array of industries. Now think for a moment about the magnitude of the synergy these two giants can create in our world! Think how this can revolutionize our tech space, driving innovations and achieving light-year progress in a decade! Zero-Knowledge Proofs The term "Zero-Knowledge Proofs (ZKPs)" refers to an interactive scheme where protocols or people in a communication process can prove the ownership or validity of information without revealing the information. In this process, we have the sender of the message (the "prover") and the receiver of the message (the "verifier"). The prover must prove that the information is true and exists enough to convince the verifier beyond reasonable doubt that the information does exist and can be verified. Here is an illustration: You and I are in communication, and I tell you I have 100 million dollars stored up somewhere. That is hard to believe, but I will not reveal where the money is stashed. However, I can prove to you that it is enough to get you confident in the veracity of this claim and verify that the information is true without revealing any other information aside from the claim being true. No, not VOODOO, but ALGORITHMS. Every ZKP transaction must have these three key ingredients to make it wholesome: The prover must be able to honestly prove and convince the verifier through the ZKP protocol with a high probability that the claim is true. Completeness: The ZKP protocol should be able to detect false and true claims with a high probability for a verifier. So, a verifier can only be persuaded that the claim is true if it is true. Soundness: If the claim is true, the verifier can only verify that it is true but will not, under any circumstance, be given any extra information apart from the fact that the claim does exist. Zero Knowledge: There are two classes of ZKPs: The Interactive ZKPs and the Non-interactive ZKPs. In the verifier maintains an interactive dialogue with the prover, presenting questions and challenges the prover must be able to solve to validate their claims. This is, however, an outdated type of zk-proof as it relates to tech. Interactive ZKPs, For , cryptographic algorithms are used instead with in-built parameters that have been agreed upon to verify the validity of a claim. The claim is fed into the algorithms, and the algorithms verify the claim. Non-interactive ZKPs Non-interactive ZKPs also have various types, but the most popularly adopted ones are: The Zero-Knowledge Succinct Non-interactive Argument of Knowledge (zk-SNARK) used in , , and . ZCash zkSync Polygon zkEVM The Zero-Knowledge Scalable Transparent Argument of Knowledge (zk-STARK) is used in . StarkNet ZKPs incorporate encryption techniques such as Elliptic Curve Cryptography or RSA to ensure that information is kept encrypted and secure during data transmission. This technology is the most feasible and practical solution amidst the data privacy and security concerns in distributed ledger and blockchain technology. Quantum Computing Quantum computing is a new form of advanced scientific computing language that employs the laws of quantum principles and mechanics to break down and solve problems that are too complex or large for traditional computers. While traditional computers carry out calculations in bits (which are the smallest units of a computer – 0 and 1), quantum computers ditch these classical units and take on superpowers. Quantum computers process data in qubits (i.e., quantum bits), which can be 0 and 1 simultaneously. They carry data in multidimensional quantum states that can exist at the same time. While a classical computer would measure the state of an object before calculating it, quantum computers would carry out calculations based on the probability of the state of the object before carrying out calculations. Hence, quantum computers are exponentially faster with an unimaginable speed that process data multiple times faster than traditional computers. A case study is the . This computer processed and completed a data computation in about 200 seconds. By earlier estimations, the same computation would have taken the world’s most powerful supercomputer 10,000 years to complete. Now, that's a boomer! 53-qubit Sycamore processor developed by Google This technology is capable of disrupting the classical systems of solving, breaking down, and transmitting data above its limit. It is way faster than our average computers with exponential power that can be used to improve everything in the scientific field. Theoretically, quantum computers are considered a huge threat to today's technological systems. Classic cryptography could be easily eroded by the supercomputing power of quantum computing. Highly sophisticated quantum computers could crack high-end encryptions which would increase the vulnerability of current systems and impact security, privacy, or trust negatively. published in 1994, has the potential to decrypt and break down the security enforced by most asymmetric cryptography algorithms. , Shor's quantum algorithm However, putting aside the risks, quantum computing can be used to enhance cybersecurity and data privacy. Because this computing is at the edge of revolutionizing the way data is processed, it can be used to improve technology. Instead of quantum attacks on encryption, it can be used to build new types of encryptions – post-quantum resistance algorithms that are resistant to quantum computer attacks. It can also develop quantum cryptography and improve machine learning algorithms to enable quick detection and prevention of cyber attacks. Synergising Zero-Knowledge Proofs & Quantum Computing For Advanced Data Privacy & Security in Blockchain. Zero-knowledge proofs and quantum computing may feel like two distinct technological concepts but when placed side by side, you realize that these two can be knitted together for an improved experience and accelerated innovation in various areas such as: The purpose of ZKPs is to conceal and protect the vulnerability of data while proving that the data exists. Incorporated into a blockchain, identities, wallet addresses, wallet holdings, and information about transactions can remain very confidential and hidden from the public but verifiable. That way, sensitive data are kept safe and private, and trust is maintained. Quantum computing can additionally contribute to the enhancement of blockchain security. In this case, quantum-resistant cryptographic algorithms and protocols are created to protect the system from quantum attacks, which could break the existing cryptographic encryption schemes and compromise the data. Data Privacy, Security, and Trust: Furthermore, with more development, there is a possibility of quantum-enhanced ZKPs being created. This means that the encryption techniques used to prove and verify a claim can be quantum channels, and this can improve the efficiency and security of the proof. ZKPs is also creating scalable solutions for blockchain users. Using zk-rollups, users from a major blockchain can carry out transactions meant for that chain on another chain with proof of validity/zero knowledge. Scalability: A major example is the Polygon zkEVM, which is a . Considering how congested and slow Ethereum is, which is another reason for very high gas fees, Polygon created this roll-up to enable users to conduct transactions meant for Ethereum on Polygons with proof. zk-rollup for Ethereum The zk-rollup gives users access to faster transaction time and lesser fees while also reducing the load and congestion on Ethereum. Quantum computing possesses unimaginable processing power and, if integrated into the blockchain, can enhance the processing speed of these chains. Transaction speed can be multiple times faster than the fastest blockchain, hence improving scalability. Another theory is using quantum interactive proof systems. These are presumably zero-knowledge proofs that allow the prover and the verifier to exchange quantum messages with proof systems that can be based on quantum computational assumptions. With zero knowledge quantum messaging and proofs, transactions become way faster. Beyond Blockchain ZKPs and Quantum Computing are not limited to only blockchain. These two powerful technologies are applicable in every industry that exists, and together, they can be a formidable force. Some instances include: B Quantum computing can speed up the execution of complex financial algorithms, and with zero-knowledge proofs, it can enable fast and secure verification of transactions without revealing sensitive details. It can prevent counterfeiting and double-spending and enable fast and anonymous transactions. anking and Finance: The accuracy and privacy of medical diagnosis, treatment, and research can be improved through quantum computing and ZKPs. Quantum computing can enhance the performance of machine learning and artificial intelligence techniques and with zero-knowledge proofs, can enable doctors to verify the authenticity and validity of medical records, prescriptions, and test results without exposing the personal information of the patients. Medicine: With other technologies, developers can create more immersive and realistic gaming experiences, as well as prevent cheating and fraud. Quantum computing, which carries out complex calculations, can be used to generate more complex, advanced, and dynamic graphics and AI systems. Combining zero-knowledge proofs, players can prove their identity, achievements, and skills without revealing their strategies, preferences, or personal data. Gaming: End Note Zero-knowledge proofs and quantum computing are key technologies in enabling data privacy and security, trust, and scalability. ZKPs are already an active part of scientific developments in many sectors. Blockchain is a major sector where its strides are mostly seen and felt, and it has become a very reliable solution for scaling blockchain networks. Quantum computing, on the other hand, still rides on possibilities of implementation. It has been labeled a huge risk to cryptography but also a preferred solution to quantum attacks with quantum encryptions. However, these are theories and hardly practical because only a handful of big corporations in the world own quantum computers, making their rate of research and adoption lower than usual.  This does not curb the fact that quantum computers hold immense potential to reinforce transparency, scalability, security, and privacy in blockchain technology. As quantum computing continues to develop and the research in quantum-resistant cryptography and post-quantum algorithms progresses, it is essential to understand that it can be quickly adapted into blockchain technology. Furthermore, to enhance and reinforce data privacy and security, both in blockchain and beyond, there is a possibility of quantum computing being integrated with ZKPs. By combining the inherently privacy-preserving nature of ZKPs with the unparalleled data processing and computation power of quantum computing, blockchain and other technological sectors can keep the data of their users and internal datasets private, have enhanced quantum-encrypted resistant environments for these data, and still have immeasurable transaction speed. Think of all the sectors in the world; and ZKPs can notably impact them positively. quantum computing

ZKPs and Quantum Computing: Formidable Allies for Lightyear Innovations

Scientific nomenclature joins two formidable names

The Story-book of Science by Jean-Henri Fabre, is part of the HackerNoon Books Series. You can jump to any chapter in this book here . MUSHROOMS CHAPTER LXIII. MUSHROOMS WHILE they were talking about insects and flowers, time had slipped by until the Sunday arrived when Uncle Paul was to tell about mushrooms. The gathering was larger than the first time. The story of poisonous plants had been repeated in the village. Some people in a rut, content with their stupid ignorance, had said: “What is the use of it?” “The use!” replied the others; “it teaches one to beware of poisonous plants, so as not to die miserably like poor Joseph.” But those in the rut had tossed their heads with a satisfied air. Nothing is so sufficient unto itself as folly. So only willing listeners came to Uncle Paul. “Of all poisonous plants, my friends,” he began, “mushrooms are the most formidable; and yet some furnish a delightful food capable of tempting the soberest.” “For my part,” observed Simon, “I acknowledge, nothing is equal to a dish of mushrooms.” “Nobody will accuse you of gluttony, for, as I have just said, mushrooms can tempt the soberest. I do not wish to discourage their use. I know too well what a resource they are in the country; I simply propose to put you on your guard against the poisonous kinds.” “You are going to teach us to distinguish the good from the bad?” asked Mathieu. “No; that is impossible for us.” “How impossible? Everybody knows that you can eat without fear mushrooms that grow at the foot of such and such a tree.” “Before answering that remark, I will address myself to you all and ask: Have you confidence in my word? Do you think that passing one’s life in studying such things is more instructive than the hear-say of those who do not concern themselves with these matters?” “You may speak, Maître Paul: we all have full confidence in your learning,” Simon made answer for the company. “Well, then, I repeat it in all conviction: it is impossible for us who are not specialists to distinguish an edible mushroom from a poisonous one, for none has a mark to say: This is eatable and this is not. Neither the nature of the ground, nor the trees at the foot of which they grow, nor their form, color, taste, smell, can teach us anything or enable us to distinguish at sight the harmless from the poisonous. I admit that a person who had passed long years studying mushrooms with the minute attention of a scientist would succeed in distinguishing pretty well the poisonous from the harmless, just as one acquires a knowledge of any other plant; but can we undertake such studies? Have we the time? We scarcely know a dozen weeds, and yet we would presume to pass judgment on the properties of mushrooms, so many in kind and resembling one another so closely? Mushrooms “I hasten to add that, in every locality, actual use has long since taught the people some kinds that they can eat without danger. It is a good thing to conform to this usage, which makes us profit by other people’s experience—on condition, be it understood, that we acquaint ourselves with the kinds used. But that is not enough to keep us safe from all peril. It is so easy to make a mistake! And then, go to another place and you will come across other mushrooms which, while apparently of the same family as those you have known as eatable, will be dangerous. My rule of conduct is, you see, absolute: you must beware of all mushrooms; excess of prudence is necessary here.” “I admit with you,” said Simon, “that it is impossible for us to distinguish at sight the eatable from the poisonous kinds; but there are ways of deciding the question.” “Tell us how.” “In the autumn we cut mushrooms in slices and dry them in the sun. They are excellent food for winter. The poisonous mushrooms rot without drying. The good ones keep.” “Wrong. All mushrooms, good or bad indifferently, keep or spoil according to their more or less advanced state and according to the weather at the time of preparation. This characteristic is of no value whatever.” “Worms attack good mushrooms,” Antoine here interposed; “they do not attack bad ones, because they poison them.” “That characteristic is no better than the other one. Worms attack all old mushrooms, bad as well as good; for what would be death to us is harmless to them. Their stomach is made so that they can eat poison with impunity. Certain insects eat aconite, digitalis, belladonna; they feast on what would kill us.” “They say,” remarked Jean, “that a piece of silver put in the pot when the mushrooms are cooking turns black if they are poisonous, and remains white if they are good.” “The saying is a foolish one, and to put it in practice a folly. Silver does not change color any more from bad than from good mushrooms.” “There is nothing to do, then, but give up mushrooms. That would be hard on me,” said Simon. “No, no; I promise you, on the contrary, that you will be able to use them more than you have done. The only thing is to proceed advisedly. “What is poisonous in mushrooms is not the flesh, but the juice with which it is impregnated. Get rid of that juice, and the injurious properties will disappear immediately. This is accomplished by slicing and cooking the mushrooms, either dried or fresh, in boiling water with a handful of salt. They are then drained in a colander and washed two or three times in cold water. That done, they are prepared in any way one chooses. “If, on the contrary, mushrooms are prepared without having first been cooked in boiling water, we expose ourselves to the danger of a poisonous juice. “The cooking in boiling water to which salt has been added is so efficacious that, in order to solve this serious problem, certain persons have had the courage to eat for whole months the most poisonous mushrooms, prepared, however, in the way I have just told you.” Poisonous Mushroom “Nothing at all. It is true that these persons prepared their poisonous mushrooms with the most scrupulous care.” “There was reason for it. According to you, then, one could use all mushrooms without distinction?” “Strictly speaking, yes. But that would be going too far, much too far. There would be the fear of incomplete preparation, insufficient cooking. I only affirm that you must submit mushrooms of good repute in the neighborhood to the preliminary cooking in boiling water. If, by chance, some poisonous ones were included, the poison would in this way be eliminated and no accident would happen; I would bet my hand on that.” “What you have just taught us, Maître Paul, will be profited by, you may be sure. Are we ever quite certain that there is nothing poisonous in what we gather?” Before saying good-by Simon approached Mother Ambroisine and entered with her into more circumstantial details of the cooking. He is so fond of mushrooms, the worthy man! About HackerNoon Book Series: We bring you the most important technical, scientific, and insightful public domain books. This book is part of the public domain. Jean-Henri Fabre (2018). The Story-book of Science. Urbana, Illinois: Project Gutenberg. Retrieved https://www.gutenberg.org/cache/epub/56795/pg56795-images.html This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org , located at https://www.gutenberg.org/policy/license.html.

Mushrooms are the most formidable

Form builders are among the most popular WordPress plugins. There are dozens of them and with few having millions of active installations. Some of them are simple, while others are powerful no-code tools allowing you to build amazing functionalities through them. In this article, we will demonstrate how your users can access your forms through Amazon Alexa. For this example, we are using a form built with plugin (free version). Formidable Forms This article is followed by the attached Convoworks service and Formidable Form definitions, which you can import into your system. In the article itself, we will just cover how to enable the skill and point out a few important parts in it. Use case – Exercise Log Let’s say that you have a fitness website where your users can record their own activity and track progress. Now, instead of opening a web browser, your users will be able to save exercise results through the Amazon Alexa skill – using voice only. Besides adding a new log entry, the skill can give you information about the last exercise, it tracks your maximum distance, and you are able to delete the last entry. That way, we covered most of the form operations you need, and it should be rather easy to reuse examples in your own project. The example form we used for our skill is quite similar to the available in the plugin premium version. In our example, we skipped the date/time and the comment fields. We also changed field keys to be readable (instead of having hash as a key), and we used just plain textual fields. Exercise Log Form Template Prerequisites There are several things to check and set up before you continue. 1. Publicly accessible WordPress installation Your server has to be able to accept requests from Amazon. If you do not have a server on your own, you can use online WordPress testing tools like . The second option is to install a and use your local installation. InstaWP tunnel 2. Installed Formidable Forms plugin Just go to your plugin installer and add the Formidable Form Builder plugin. 3. Convoworks WP – Installed and connected to Alexa Please make sure that your Convoworks plugin is linked and that you are able to create Alexa skills. You can find more on that in the , or you can watch our video tutorial. Amazon Alexa platform configuration Connect to Amazon and create your first Alexa skill Import and configure Exercise log Alexa skill Few steps to import all definitions, and eventual configuration and make the skill work. 1. Import the exercise log form into the Formidable Forms You can import the attached xml form definition (below). To build this form we used regular text editors for all fields except the , which is a radio selector. When communicating with form builders, we prefer keys over ids. Keys are persistent, while ids will vary from installation to installation. Here are the form and field keys we used in our example. Form is , while fields are , , , , and . Activity exerciselog el_activity el_calories el_distance el_max_pulse el_rest_pulse Formidable Forms definition (XML) 2. Create Exercise Log Convoworks service Start a new service in Convoworks, and select option. Use the service definition you can download below. If your form uses different keys for form and fields, navigate to the view and adjust values. You might also consider adjusting values for the app name (if you changed it) and the test user. We’ll cover more on test user usage in section below. Import from file Variables Resolving the current user Convoworks service definition (JSON) 3. Connect it to Alexa and enable account linking Now go to in Convoworks. Check the option and disable the . Save and wait for a minute until the service is fully built on Amazon. Configuration / Amazon Alexa Enable Account Linking for Alexa Skill Allow users to enable skill without account linking 4. Link account in your Alexa app Open your , navigate to . Press on the Settings button and link account. By doing it, each request that comes through Alexa to our skill will have an OAuth token, which will enable us to authenticate the current user. Alexa app Your skills / Dev skills You can find more on it in our article. Amazon Alexa account linking Test your new Alexa skill If you have an Echo device, invoke the skill and try to use it. You can also try to test it through the . This way, you can “chat” with your skill using their Test view. ASK console You can also use Convoworks Test view, which is a handful tool because it allows you to peek into all variables existing during the current request execution. Few words about skill functionality. Skill distinguishes between first-time and returning users, so some responses are slightly different. To try again first time use, disable, and enable the skill again. You can just open the skill, and follow the workflow step by step. Alexa, open exercise log, You can add additional command while invoking the skill: . In this case, you will automatically be in the new entry workflow. Alexa, ask exercise log to record my running exercise Once you have entries, you can get more info on the last entry and the ability to delete it. You can ask for help. Few significant parts to check There are several parts in our service that you should check and get to know how to use. Some parts are related to the form data, while others are related to the general features you can use in Convoworks. 1. Initializing data When the skill starts, we want to do some checks and preload some data that will be required in our workflow. Navigate to the step in Convoworks editor and check the section. This flow is executed when skill is started (new session starts). It will be executed no matter if the skill is opened regularly (just invocation name) or with an additional command. As you can see we are using it to check the current user, load last entry data, and to initiate a new entry.Hint: You can click on a fragment name to navigate to its definition. Session start Pre-dispatch Flow 2. Resolving the current user Our service works only for known users, so in the fragment we are trying to load user data and if it fails, we are ending a session. element will load user data if the account is properly linked. Click on the element and check its help (on right side) for more details. Resolve user Init current auth user The if element at the beginning serves to enable ability to test skill even in Convoworks test view, which does not support account linking. We are checking against a predefined device id that comes with the request ( ). If we detect that it is a test view call, we are using the which can be adjusted in the variables view. admin-chat TEST_USER_ID Please note that the is stored in the session scope, meaning that it will be available through all subsequent calls. user_id 3. Formidable Forms context This is the actual adapter that enables us to use the Formidable Forms plugin. By entering and accessing data through a plugin infrastructure (instead of just performing SQL queries), we are ensuring that all plugin actions and filters will be applied. That way if you hook up some additional actions to your Formidable form, they will be triggered through Alexa skill, just as it would through the default web interface. Here we are setting the id for the context (so that other form elements are able to reference it), with which form we are working and the user id which will be used when creating entries. Check the component’s help to learn about some Formidable Forms specifics. 4. Loading the last entry For loading previous entries, we are using Search Form Entries element. Here we are filtering form entries created by the logged user and making sure that we load just a single, the last one. In case when there were existing entries, we are performing an additional query to get the maximum distance made in previous exercises. For that, we are using , a generic component for accessing any WordPress database table. Please note how we can reference the context and call methods on it – in this case, to get numeric ids from a given field and form keys. WP DB Element 5. Saving the form entry Through the conversation workflow, we are navigating through several steps and collecting data. Once the user confirms it, we can try to save it. We are doing that on the step using the element. Entry – Confirm Create Form Entry When you are gathering user data through the skill, you have to take care that the data is valid. If it is not, it might happen that the entry creation fails due the validation errors. In such a case, flow will be executed. Validation error 6. Deleting the form entry Our step informs the user that it can delete the last entry. For that we are using the element, which besides context id of the form plugin implementation, requires the id of the entry which will be deleted. Last exercise info Delete Form Entry After the entry is deleted, we will reload the last entry info and read that info back. 7. Global and local help We have one global, default help, which informs the user with basic instructions on how to use the skill. This definition can be found in step, which contains processors which should be always considered for the execution. Service processors However, you can find processors which are catching on the and steps. That means that if the user is on one of those two steps, it will trigger this local processor and not the one in service processors. HelpIntent Entry . Activity Entry . Pulse If you are using WordPress form builders, think of the use case which might be convenient to be used with voice. The one which you or your users would like to access often. The frequent use is ideal for voice. This example requires account linking, but you can create a skill that allows public access (e.g. school league results) or you can even ask users to access their Amazon profile data (name, email) and add to the mailing list. Of course, with their permission to do that. To find more about Convoworks forms package and philosophy behind it, at our at GitHub. Forms package for Convoworks If you have any problems or questions, drop a comment below or contact us through the contact form.

Using WordPress and Formidable Forms to Create your own Alexa Skill 

Material UI V5 Landing Page (Taken from https://mui.com) and Formik’s landing page (Taken from https://formik.org) This will show you an alternative way (Compared to ) in which you can increase Formik’s performance when you have multiple inputs and typing into an input just becomes unbearable. The cause of this problem is as Formik re-renders on every keystroke. Matt Faircliff and Julian Rachmann CSS-In-JS and the constant re-rendering of Emotion This method isn’t necessarily exclusive to Material-UI (Although MUI is being used as an example here, and this works for both: V4.x and V5.x) and can be used with any other UI library, as the concepts are the same. Beware, this is hacky, but works in production. Here’s the that showcases you how to use it. GitHub repo The Concept - TL;DR The concept is pretty simple: We let the component handle its own internal state, and then we propagate the change to Formik with an event. We also add additional safeguards to allow for pre-filled passwords to work. In addition, when you dynamically change an attribute of the such as ,we need to have the correct way to propagate it correctly as the won’t fire. Or when you change while having . <TextField /> onBlur TextField name onBlur <Formik initialValues> enableReinitialize={true} The solution Wrap your component with the following code (Uses TypeScript): TextField PerformantTextField.tsx import { TextFieldProps, TextField } from "@mui/material";
import { useField } from "formik";
import React, { memo, useEffect, useState } from "react";
import { usePropagateRef } from "./usePropagateRef";
export type PerformantTextFieldProps = Omit<TextFieldProps, "name"> & {
 name: string;
 /**
 * IF true, it will use the traditional method for disabling performance
 */
 disablePerformance?: boolean;
 loading?: boolean;
 min?: number;
 max?: number;
};
/**
 * This is kind of hacky solution, but it mostly works. Your mileage may vary
 */
export const PerformantTextField: React.FC<PerformantTextFieldProps> = memo(
 (props) => {
 const [field, meta] = useField(props.name);
 const error = !!meta.error && meta.touched;
/**
 * For performance reasons (possible due to CSS in JS issues), heavy views
 * affect re-renders (Formik changes state in every re-render), bringing keyboard
 * input to its knees. To control this, we create a setState that handles the field's inner
 * (otherwise you wouldn't be able to type) and then propagate the change to Formik onBlur and
 * onFocus.
 */
 const [fieldValue, setFieldValue] = useState<string | number>(field.value);
 const { disablePerformance, loading, ...otherProps } = props;
 usePropagateRef({
 setFieldValue,
 name: props.name,
 value: field.value,
 });
/**
 * Using this useEffect guarantees us that pre-filled forms
 * such as passwords work.
 */
 useEffect(() => {
 if (meta.touched) {
 return;
 }
if (field.value !== fieldValue) {
 setFieldValue(field.value);
 }
 // eslint-disable-next-line
 }, [field.value]);
const onChange = (evt: React.ChangeEvent<HTMLInputElement>) => {
 setFieldValue(evt.target.value);
 };
 const onBlur = (evt: React.FocusEvent<HTMLInputElement>) => {
 const val = evt.target.value || "";
 window.setTimeout(() => {
 field.onChange({
 target: {
 name: props.name,
 value: props.type === "number" ? parseInt(val, 10) : val,
 },
 });
 }, 0);
 };
// Will set depending on the performance props
 const performanceProps = disablePerformance
 ? {
 ...field,
 value: loading ? "Loading..." : fieldValue,
 }
 : {
 ...field,
 value: loading ? "Loading..." : fieldValue,
 onChange,
 onBlur,
 onFocus: onBlur,
 };
return (
 <>
 <TextField
 {...otherProps}
 InputProps={{
 ...((props.type === "number" && {
 inputProps: { min: props?.min, max: props?.max },
 }) ||
 undefined),
 }}
 error={error}
 helperText={meta.touched && meta.error}
 {...performanceProps}
 />
 </>
 );
 }
); We add a helper hook called usePropagateRef to allow us overcome an edge case when the attribute of the changes and data needs to be changed. name TextField usePropagateRef.ts import { useEffect, useRef } from 'react';
type UsePropagateRefProps = {
 setFieldValue: React.Dispatch<React.SetStateAction<any>>;
 name: string;
 value: any;
};
export function usePropagateRef(props: UsePropagateRefProps) {
 const { name, value, setFieldValue } = props;
 /**
 * This is a special useRef that is used to propagate Formik's changes
 * to the component (the other way around that is done).
 *
 * This needs to be done whenever the name property changes and the content of the
 * component remains the same.
 *
 * An example is when you have a dynamic view that changes the TextField's name attribute. 
 * If we don't do this, the useBlur hook will overwrite the value that you left before you 
 * changed the TextField's value. 
 *
 */
 const flagRef = useRef(true);
 useEffect(() => {
 if (flagRef.current) {
 flagRef.current = false;
 return;
 }
setFieldValue(value);
 // eslint-disable-next-line
 }, [name]);
} This should set you to a much more smooth experience while using the <TextField /> GitHub Repo Check it out here: https://github.com/superjose/increase-formik-performance-react The files to be checked can be found here: src/components/Fields/Form/PerformantTextField/

Improving Formik Performance when it's Slow (Material UI)

Mejora del rendimiento de Formik cuando es lento (interfaz de usuario de material)

Striking up a conversation at work can be intimidating. We avoid eye contact, turn our heads away and pretend to be busy on our phones all in an attempt to save ourselves from the awkward moment of meeting someone and not sure what to say. And if we do gather up a little courage to look them in the eye, the conversation starter “hey, what’s up, how is it going, how are you” instantly kills the conversation. Everyone knows these words are an attempt to be polite without the intention to engage. There are plenty of opportunities at work to bond with the coworkers. How about a few moments before the meeting gets started, lunch hours, coffee breaks or those other water cooler chats. You can use small talk to fill in those moments of silence, but it’s only the deep desire to understand the other person that can form meaningful connections at work - what’s valuable to them, what interests them about work, how they solve problems, what they struggle with and what comes easy to them. It seems like we rarely converse anymore. I mean, we talk and we chat (often over text or e-mail), but we don’t really hash things out. We spend a lot of time avoiding uncomfortable conversations and not enough time making an effort to understand the people who live and work around us - Celeste Headlee Yes, it does take effort and energy to start a conversation, be curious about others, pay attention to them and try to form a connection. Nothing that’s easy adds much value to our lives. Before we talk about what to talk about at work, know how these conversations add significant value to our work lives and why they are worth our time. How great conversations add magic to work Workplace conversations can work like a charm. There are interesting people all around us who can inspire, rejuvenate, unblock our thinking and add that extra meaning to our work life. 1. Discovering a common link Starting a conversation with a coworker knowing nothing about them to finding a shared interest can instantly energise you - how you both contribute to the open-source community, love for solving problems, interest in designing systems, passion for writing code and so on. It’s the same feeling as finding a person from your home town in a foreign land. You instantly click and connect, grabbing onto that weak link and may end up bonding with the person as you commit more time and energy to the relationship. The newfound connection adds positivity to your work life and can help you share ideas and learn from each other in work that matters to you. 2. Expanding mental models Speaking to a co-worker from another cross-functional unit may give you an idea to a problem that you have been stuck with for so long. Big innovation most often happens when an outsider who may be far away from the surface of the problem reframes the problem in a way that unlocks the solution - David Epstein Speaking to people with diverse backgrounds and domain knowledge can also help you draw ideas from these domains, expand your thinking beyond your circle of competence and help you build new mental models to solve problems and make better decisions. It enables the mindset shift from being stuck as a specialist to appreciating the value in being a generalist. 3. Serving as a distraction A meaningful conversation with a co-worker can give you the much needed break after deep focussed work to re-energize and refuel your mind for doing more quality work. Being purposeful about these conversations in moments when you need them can serve as a good distraction and help you be more productive. They can also be a source of creative outflow by helping you shift from obsessing about the problem to giving space to your brain to form new connections. Harvard University researcher and psychologist Shelley H. Carson says  “Distraction isn’t always a bad thing. If you are stuck on a problem, an interruption can force an incubation period. In other words, a distraction may provide the break you need to disengage from a fixation on the ineffective solution” 4. Unlocking unbiased thinking How you view people at work can change only if you take the time to look beyond your biases and make an attempt to understand them. Your attribution bias may be at play when you are quick to attribute someone’s behaviour at work to their character flaw without taking their situational factors into account. By engaging with co-workers and colleagues with an intent to understand, you will be able to rationalise why people behave in certain ways and devise better strategies for collaboration instead of resorting to fight or flight response. A difficult person may turn out to be extremely collaborative when given an opportunity to explain. It only takes one good conversation to change your understanding of someone else’s world, your world, and the world at large - Celeste Headlee Great conversations add magic to work. They bring you in touch with other like minded individuals, expand your thinking, improve your productivity and make you a better person by shifting from passing snap judgments to adopting an attitude of understanding. And who knows, you may just come across someone who helps you kick off your dream startup, become a friend for life or maybe even a life partner. 7 ways to start a conversation and build meaningful connections at work These 7 ways will guide you on how to have effective conversations at work that does not involve small talk and adds value to work without making you feel uncomfortable. 1. Ask questions that get the other person talking People like to talk about themselves. A question framed with the right mix of curiosity about the person and their work can be a great way to start a conversation. Next to physical survival, the greatest need of a human being is psychological survival—to be understood, to be affirmed, to be validated, to be appreciated. When you listen with empathy to another person, you give that person psychological air. And after that vital need is met, you can then focus on influencing or problem solving - Stephen R. Covey While waiting for a meeting to get started, you notice Jon who works in the analytics department. This is a great opportunity for you to connect with a person from another unit by asking “Hi Jon. I am [...] from [...]. I will be working with your team to integrate our product with the new analytics system. Being the chief architect of the new system, you might be the perfect person to share the key highlights of your product. I am curious to know what went into designing it” A new product manager Keith joins your team. Make that first impression count by asking “Hi Keith. I am [...]. I work on [...]. What excites you about product management?” Your boss’s boss Julia is in the elevator. Don’t miss the chance to connect by saying “Hi Julia. I am [...] from [...].  We are working on this new product [...] that I am excited about. You shared some great insights about our last product. Curious to know what you think about this one.” Asking open-ended questions that shows an interest in another person’s point of view and gives them a chance to speak about themselves or their experience is a great way to start a conversation. 2. Do more listening and less talking Epictetus, a great Greek Stoic philosopher said, "We have two ears and one mouth so that we can listen twice as much as we speak." Great conversations require the right balance between talking and listening. Active listening, though difficult, is the most effective medium to communicate and form a connection that inspires the other person to open up and share what they really think and feel. If you aspire to be a good conversationalist, be an attentive listener. To be interesting, be interested. Ask questions that other persons will enjoy answering. Encourage them to talk about themselves and their accomplishments - Dale Carnegie Start the conversation by asking the right question, but then listen intently to the other person with the desire to learn more about them. People can see when we are genuinely curious and when we are faking it. Hijacking the conversation by speaking too much or shifting the focus of the discussion and making it about us can instantly kill the conversation. 3. Don’t engage with a victim mindset Don’t start a conversation by putting someone or something in a bad light - our boss sucks, this is a crap presentation, this meeting is a waste of time and so on. It may be tempting to talk to others about things that you dislike or not going so well for you with the assumption that they feel the same way, but approaching the conversation with the victim mindset is the worst way to connect with someone. It makes you look like a complainer and doesn’t give an opportunity to the other person to speak much. Talking to people with a negative frame of mind can turn them off and avoid you in future interactions. Take this advice from Olivia Fox, The Charisma Myth “Aim to keep your questions focused on positive subjects because people will associate you with whatever feelings your conversation generates. Focus on questions that will likely elicit positive emotions. With your questions, you have the power to lead the conversation in the direction you want” Look for positive things to talk about which adds personal value to you and the other person. 4. Know your boundaries Different people are open to different levels of talking and sharing. Know when your question is getting too personal or making the other person uncomfortable. Also, having a difference of opinion is not the same as imposing it. Share your disagreement, but in a manner that does not seem like an attack on another person. Starting a conversation with “This is wrong. I don’t agree with it….” will make the other person defensive. However, if you start with the curiosity to understand them first by asking “Tell me more why you think this way…”, they will be more open to your disagreement when you share it later by saying “My opinion is [...]. What do you think about it?” 5. Accept vulnerability Brene Brown talks about excruciating vulnerability. It’s the idea that for connections to happen, we need to allow ourselves to be seen, really seen - Brene Brown People feel shameful when they don’t know something and instead of showing curiosity to learn about it, they pretend to know the subject and nod in agreement. Such superficial conversations are pointless and do not lead to building trust and connection. Don’t pretend to be someone you are not or pretend to know something that you don’t. Accept that you don’t know and ask “Oh, I don’t know about that. What’s that?” Accepting vulnerability is the most powerful means to start a conversation and build a long lasting connection. Start a conversation by asking “I don’t know much about [...]. Can I pick your brain to learn more about it?” 6. Keep it simple We over complicate things in our mind by overthinking and obsessing about the perfect question and then end up killing the idea to talk to the person when we can’t seem to find one. Conversations don’t always need a perfect start. We need to get started somewhere and then give it a direction. When nothing else comes to mind, asking simple questions like these can get the conversation flowing: What’s interesting about your work What keeps you busy What are you learning these days Who has the biggest influence in your life What practices do you follow for continuous improvement What new skills are you focusing on What’s your advice on [...] I am curious about [...]. What resources do you recommend on this topic 7. Be present In today’s world with a constant stream of distractions all around us, it’s difficult to choose a human connection over a digital one. But, conversations where we are constantly distracted don’t add value. Great conversations require us to be present, mentally and physically in the moment. Celeste Headlee says “We got all that terrible advice we got to look someone in the eye and nod your head and say ‘uh huh, ’ is just teaching you how to pretend you are paying attention—and that’s totally unnecessary if you are paying attention!” And Olivia Fox talks about being fully present in The Charisma Myth “The ability to be fully present makes you stand out from the crowd; it makes you memorable. When you’re fully present, even a five-minute conversation can create a “wow” effect, as well as an emotional connection” Stop looking at your phones and actually start paying attention to the person right next to you. Start a conversation by committing to being present instead of giving in to distractions. Work life can be more meaningful if we can learn to connect with all the interesting people in it. Conversations that go beyond small talk to the desire to understand and learn from each other can be a powerful source of energy. Also published here .

Get Beyond Small Talk To Forming Meaningful Connections At Work

Setup is a nice library to speed up the process of creating forms in . It handles all the basic functionality like the form state, validation and submission. Formik React Let's begin by creating an empty https://create-react-app.dev/ create-react-app npx create-react-app my-app Install the formik library yarn add formik Using formik components Remove the example code generated and import the formik library and some components in App.js. We will use the react just to show the values of the form in this example. useState hook React, { useState } { Formik, Form, Field } App() {
 const [result, setResult] = useState( ) (
 // Formik the main component that handles the logic
 // Form just a regular html <form> <Formik>
 {() => (
 <Form>
 </Form>
 )}
 </Formik>
 );
}

export App import from 'react' import from 'formik' function '' return is all is wrapper default Let's use the formik component to create some fields. Check the docs to see all possible props available Field https://jaredpalmer.com/formik/docs/api/field#props-1 A default Field is an type="text" input <Field = /> name "fieldName" For the select, we specify the options as children <Field ="select" ="color" ="none">
 < ="none">Pick a color</ >
 < ="red">Red</ >
 < ="green">Green</ >
 < ="blue">Blue</ >
 </Field> as name value option value option option value option option value option option value option In this example we are going to use a to show the values after submit textarea <Field = ={result} rows={ } /> as "textarea" value 5 Form props are passed down to children giving many options for custom fields < = > Field name "email" {({ field }) => ( <div> <label>email:</label> <input type="email" required placeholder="Email" {...field} /> </div> )} </ > Field We can go further and just set a component prop. Form props will passed to this component { <Field
 name="name"
 required
 placeholder="Name"
 component={CustomInput}
/> ( ) function CustomInput { field, form, ...props } return } < { } { } /> input ...field ...props A will automatically handle form type="submit" onSubmit Submit < = > button type "submit" </ > button Put everything together This is the final example form created with formik. needs the prop to work properly. Formik initialValues import React, { useState } from 'react'
import { Formik, Form, Field } from 'formik'

function CustomInput({ field, form, ...props }) {
 return }

function App() {
 const [result, setResult] = useState('')

 return ( {
 setResult(JSON.stringify(values))
 }}
 >
 {() => ( Pick a color Red Green Blue {({ field }) => ( email: )} Submit )} )
}

export default App < { } { } /> input ...field ...props < = '', '', ' '
 }} = ) => Formik initialValues {{ email: name: color: red onSubmit {(values, actions < > Form < = = = > Field as "select" name "color" value "none" < = > option value "none" </ > option < = > option value "red" </ > option < = > option value "green" </ > option < = > option value "blue" </ > option </ > Field < /> br < = > Field name "email" < > div < > label </ > label < = = { }
 /> input type "email" required placeholder "Email" ...field </ > div </ > Field < /> br < = = = /> Field name "name" required placeholder "Name" component {CustomInput} < /> br < = > button type "submit" </ > button < /> br < /> br < = ' %'}} = = = /> Field style {{ width: 100 as "textarea" value {result} rows {2} </ > Form </ > Formik Not so fancy, but I didn't wanted to pollute the code with styling. Unit testing with React Testing Library Normally it's enough to use and to test components, but with , internal React and get more complex under the hood and a simple doesn't work. Luckily there's a nice piece of software called that has support for many frontend libraries and frameworks Jest Enzyme Formik state events input.simulate('change') Testing Library https://testing-library.com/docs/intro First of all, install the library as dev dependency yarn add --dev '@testing-library/react' Test if the App doesn't crash first it( , () => { div = .createElement( )
 ReactDOM.render( 'renders without crashing' const document 'div' , div)
}) < /> App Now let's pick all the field elements to be able to fire events with them it( , () => { { container } = render( 'submits correct values' const )
 const name = container.querySelector('input[name="name"]')
 const email = container.querySelector('input[name="email"]')
 const color = container.querySelector('input[name="color"]')
 const submit = container.querySelector('button[type="submit"]')
}) < /> App Let's change their values fireEvent.change(name, { : { : }
 })

 fireEvent.change(email, { : { : }
 })

 fireEvent.change(color, { : { : }
 }) target value 'mockname' target value 'mockemail' target value 'mockcolor' We get this error Warning: An update to Formik inside a test was not wrapped act(...).
 
 When testing, code that causes React state updates should be wrapped into act(...):
 
 act( { }); in => () /* fire events that update state */ /* assert on the output */ This means that something changed inside the test, we need to wait for these changes. is also good, but instead of , we can also use Testing Library's Formik state act act wait https://testing-library.com/docs/dom-testing-library/api-async#wait Notice that we will change the test to async it( , () => { { container } = render( "submits correct values" async const )
 const name = container.querySelector('input[name="name"]')
 const email = container.querySelector('input[name="email"]')
 const color = container.querySelector('select[name="color"]')
 const submit = container.querySelector('button[type="submit"]')
 const results = container.querySelector("textarea");

 await wait(() => {
 fireEvent.change(name, {
 target: {
 value: "mockname"
 }
 })
 })

 await wait(() => {
 fireEvent.change(email, {
 target: {
 value: "mock@email.com"
 }
 })
 })

 await wait(() => {
 fireEvent.change(color, {
 target: {
 value: "green"
 }
 })
 })

 await wait(() => {
 fireEvent.click(submit)
 })

 expect(results.innerHTML).toBe(
 '{"email":"mock@email.com","name":"mockname","color":"green"}'
 )
}) < /> App Now we get the correct results and thanks to Testing Library we focus on functionality and DOM behavior instead of dealing with React details. You can go further and read Formik documentation to create complex forms and Fields. Thanks for reading. UPDATE: Testing Library 'wait' is deprecated now. Use 'waitFor' instead.

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FORMI

formi.co.in

11-50 employees

Since 2022

COMPANY RANKING

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EVERGREEN INDEX #4876

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