The Riemann hypothesis and It's Equivale کراچی
The Riemann hypothesis and It's Equivalent Shapes
It been 160 years passed but the mathematics demanded more and more work from the mathematicians to unlock the some of the unsolved problems in mathematics.The one of them is the Riemann's hypothesis,the unsolved millennium problem which is ultimately connected with distributions of prime numbers.Prime numbers are like atoms in physics ,Namely they are basic buildings of the Numbers. All numbers are product of primes or itself prime.The only thing which is not obvious about primes is their distribution,that is how they are placed among the integers.Integers the probably the first things I thing mathematicians stared about.Further Study led the discovery of primes(the numbers unbreakable as product of two or more primes).Finding their pattern is very hard upto date.Another branch of mathematics Complex analysis takes the secret of primes.The German mathematician Bernhard Riemann recognized this fact and studied the complex function,Namely zeta function,this function itself is mystery.It turns out that this function has regular study of his because in the whole complex plane.This function has zeros and one simple pole mathematically,one finds these properties interesting because some how this function is related with distributions of primes.It all comes definitely from the equations and relations connecting the primes with zeta function.In the entire complex plane this function is regular and has zeros at all negative even integers,they are obvious and some other zeros which are complex and lie in the vertical strip with 0<Re(s)<1. Where s is complex argument of zeta function.But no one knows exactly where all they doing there business.The Riemann studied them and conjectured all must be on a single line Re(s)=1/2 and this is known Riemann hypothesis.Mathematically this is not proved rigorously,and it has been passed 160 years.
Another important concept in mathematics is the Equivalents of problem.The Riemann hypothesis has more than 100 problems coming out from different mathematicians ,many at itself mystery and many are beautiful and interesting,Equivalent problems are the original problems like in case of Riemann hypothesis they weight like Riemann hypothesis itself.The only thing frustrating is that,they are not proved as well.Proof of any one equivalent problem will be the proof of Riemann hypothesis.But mathematics also has no answer of these questions.
The only thing remains is the may be one day another kind of mathematics may be discovered and that might be Solve this problem.This actually shows how hard are the primes. Gaining inside of these is very difficult upto date.
Finally the hope is still there that one day may be some mathematician(s) come through to unleash the truth and ultimately the truth of primes.Like great Mathematian David Hilbert said:
We must know.we will know.
Other News Karachi
A step Forward to Bright Future of Pakistan CPEC
ISLAMABAD: Prime Minister Imran Khan has said that China-Pakistan Economic Corridor (CPEC) will be a ‘game changer’ for the motherland, bringing unprecedented prosperity and progress to the country.
“It (CPEC) is a project that will take Pakistan to new heights [of prosperity],” the prime minister said after witnessing the signing of agreement with China Gezhouba for Azad Pattan hydropower project at a ceremony held at PM Office on Monday.
“Pakistan can learn with the progress made by emerging economic power, China, during the last 30 years,” Mr Khan said. He said he was glad that the hydropower project was being commissioned under the CPEC. “Earlier, the CPEC was confined to road connectivity, but now other aspects of the corridor are being unfolded,” he added.
A part of CPEC, with an investment of $1.5 billion, 700.7-megawatt Azad Pattan will not involve fuel import, thus enabling the country to move towards cheaper and greener power while generating local job opportunities.
The project is located at River Jhelum and is expected to be completed in 2026.
“Time would prove the long-term benefits of CPEC, which is based on the economic cooperation between Pakistan and China,” the prime minister said, adding that Pakistan could learn a lot from the emerging world economic power, China. He expressed the optimism that the two countries would continue to benefit from the time-tested cooperation in diverse fields.
Referring to the signing of the agreement for Azad Pattan hydropower project, PM Khan said it was part of the investment to complete the power project based on clean energy. “Unlike the past, the project will not burden the people. The previous governments launched costly projects, which were made functional with imported fuel, thus increasing the cost of energy manifolds and stressing the local currency,” he added.
Mr Khan said that power projects based on imported fuel cost the country dearly, with the result that the industry could not compete with those in the neighbouring countries which were using low-cost energy. “This also caused burden on domestic consumers,” he added.
The prime minister said the hydropower generation was considered as a major source of clean energy, which was also in line with his government’s policy of ‘Clean and Green Pakistan’ and regarded as environment friendly. “It will also diminish the impacts of the global warming,” he added.
Mr Khan appreciated the energy ministry, CPEC Authority, the governments of Azad Jammu and Kashmir and Punjab for the agreement regarding the power project.
Speaking on the occasion, CPEC Authority Chairman retired Lt-Gen Asim Saleem Bajwa said the project would be completed by utilising the indigenous resources. “Work on CPEC projects continued with full force despite Covid-19 pandemic, generating job opportunities,” he added.
He said during the last 10 days, they had signed agreements for bringing in $4 billion investment and for generation of 1,800MW low-cost power. The projects would also provide jobs to about 8,000 locals, he added.
Chinese ambassador to Pakistan Yao Jing, Chinese company authorities, ministers and senior officials also witnessed the signing of the agreement.
Every thing has an impact on your life, doesn't matter how ordinary it may be. Mostly people you associate with, environment you live in or words you often listen and repeat on daily bais.
For exp: if a person is titled as a "mad" by his colleagues and family members starts acting as a mad person bcz after some time his own mind starts to accept that some how it's true. In the same way if a person is appreciated he makes himself better and better.
What you think what is the reason of increased anxiety now adays, ofcourse news channels are a big source of negativity, how can a person feel good after listening bad news evey hour.
So if it's happening with you, then change your attitude. Review your words you often use in daily conversation, bring some gratitude and you will feel better. Thank to Allah Almighty for every thing you have. Avoid discouraging people, Keep in touch with friends who give you confidence and keep yourself busy reading any interesting book. And try to put positive things in your head bcz your brain never remains void if you will not put positive things in, it will attract negativity due to it's easy availablility..
India Spoiling Afghan Peace Process To Damage Pakistan Concerns
ISLAMABAD: Pakistan on Wednesday warned about ‘spoilers’ trying to undermine the peace process in Afghanistan as efforts for kick-starting the long-elusive intra-Afghan dialogue continue.
“Afghan peace process has entered a critical phase. We, therefore, need to remain alert to the elements, who are attempting to sabotage the progress,” Foreign Minister Shah Mehmood Qureshi told US Special Envoy for Afghan Reconciliation Zalmay Khalilzad.
Mr Khalilzad, accompanied by his delegation, reached here from Tashkent (Uzbekistan), as part of his three-nation trip that will also include Doha (Qatar). In Tashkent, the special envoy met foreign ministers from five Central Asian States — Uzbekistan, Tajikistan, Turkmenistan, Kazakhstan and Kyrgyz Republic — under the C5+1 dialogue format to urge them support the Afghan peace efforts.
Mr Qureshi, while reaffirming Pakistan’s continued support for peace efforts, said: “Pakistan remains committed to working with international and regional stakeholders for sustainable, peaceful, and political resolution of the Afghan dispute.”
The foreign minister welcomed the readiness of both Afghan government and the Taliban for participation in the intra-Afghan dialogue and announcement of their negotiation teams. He said the dialogue would pave the way for lasting peace in the war-ravaged country that has been in conflict for decades.
Qureshi in meeting with Khalilzad urges ‘all sides’ to reduce violence
The Afghan government and the Taliban have also agreed on Doha as the venue for their talks. However, the delay in the release of prisoners has been holding up the start of the negotiations, which were originally scheduled to commence on March 10 following the signing of Doha Accord between the US and the insurgent group.
Afghan authorities, as per the agreement, were to release 5,000 insurgency fighters, while the Taliban were to set free 1,000 Afghan forces men in their custody. Kabul claims to have released 4,000 Taliban and the Taliban say they have freed about 700 government soldiers. There are, however, differences between the two sides over the numbers.
Head of Taliban Political Office Mullah Baradar, in a video conference with US Secretary of State Mike Pompeo on Tuesday night, said the delay in the start of negotiations was because of slow process of releasing the detainees, and the establishment of security points by government security forces.
Another sticking point is the heightened violence. The Taliban say their fighters conducted ‘operations’ against Afghan forces trespassing the areas held by them, otherwise they have abided by the understating on lowering violence by not attacking major cities and military installations.
Mr Qureshi expressed the hope that release of prisoners would be completed soon. He further urged “all sides” to reduce violence.
There have been questions about high-profile assassinations and attacks in and around Kabul, including the June 23 killing of Afghan prosecutors and government employees, and the bombing of a vehicle carrying human rights activist Fatima Khalil on June 27.
These attacks have not been claimed by any group. Amb Khalilzad had after the killing of the prosecutors tweeted: “This attack underscores what we all know: Spoilers (both domestic and foreign) are trying to disrupt and delay.”
Mr Qureshi, in his meeting, re-emphasised the need for being alert to the sinister designs of the ‘spoilers’.
Mr Khalilzad is being accompanied on this trip by Chief Executive Office of US International Development Finance Corporation (USDFC) Adam Boehler. He is pushing Trump administration’s plans for increased regional connectivity, trade and development.
The USDFC was set up in 2018 for American investments in development projects in low- and middle-income countries around the world. Many suspect it to have been set up for countering China’s Belt and Road Initiative and its flagship project China-Pakistan Economic Corridor.
Nothing was said in the Foreign Office’s media statement about what is being offered by the USDFC.
Other News Pakistan
Night Holds the Reality
I can't believe in myself being represented as a school topper, when I closed my eyes. It is actually a dream when I Slept and closed my physical eyes, jumped into the imaginaries and opened my eyes of mind.
I could see him [Mehrab] , sharing my ideas with him[My dream friend], gathering with one another, facing every moment with joy and prosperity. I could see our daily routine, We made ourselves ready for the School and went for the studies.
I could hear my name being repeated continuously. Being repeated by every corner of my surrounding. I could hear the praises, being sent for me. I see every member of the generation mentioning me in their advices.
In first, I could not find out the reason[reason of praises, reason of being repeated continuously, reason of being mentioned in everyone's advices]. I found myself thinking of , What would be the reason that has made me as important. I couldn't made myself capable of solving out the suspension. I found myself being confused but not helpless.
I could see myself gathering with him[Mehrab], discussing my confusion. He [Mehrab] made me clear that it was due to the boldness of me that made me so. I found him [ as a friend ] advising me," do focus on your career and study hard in upcoming days. Make yourself prevent from the social evils [drugs,robberies]." I could see myself firmly accepting and agreeing with him.
The days were badly surrounded by the environmental evils. It could appear almost everyone being involved in robberies and especially drugs. I could see several types of people being destroyed in drugs and I could see the person who dragged everyone in this evil.
It seemed to be the last days of school when everyone was appearing happily due to their numbers and ranks. I found out him[Mehrab] even happier than others due to me because I was on the top. He seemed to suggest me for a college but I couldn't seem to afford and I stayed. I found him [Mehrab] leaving me alone and going for seek of knowledge.
I found out myself being alone. Being alone due to those who used to be my friends and left. I found myself recalling the words that he[ Mehrab ] has suggested [ prevent yourself from the social evils ]. I kept thinking of the social evils and from there I couldn't find myself alone. I found out a partner who appeared to be an attractive one for the social evils.
I could see myself facing away from my career and following the new partner. I could see the heal of lonliness in that [ New Partner]. I couldn't help making gatherings with him. It seemed to be spending hours with the new partner. I could see him making me taste drug and making my mindset positive of drugs. I couldn't find his [Mehrab] advices and followed on. And afterall I became one of them [Drug addicts].
I could feel just fews days have passed and he[Mehrab] has returned. He returned holding a scholarship, based on my marks, for me. When he came to me , he found me talking with smoke, feast with the evils and playing with the tubes.
He mentioned me in his speech," HassanJan, I was stupid and my stupidity took me here to you. I have decided a bright future for you and you are of ruining your present."
I continued," Mehrab... Come and have a look. How happy I am with my new friends. Only you were missing. Come and join us, we all together will enjoy ."
Mehrab exclaimed with sorrow,"Uuh.... Old HassanJan. Wherever you are I am gonna miss you."
I could see him [ Mehrab] slapped me and went away...
Suddenly I woke up, and looked around. I found myself safe. I thanked God that it was just a dream but I thought for a while that ," If drug is this much dangerous in dream then how will it be in real life." I can not even imagine that.
In last, drug is deadly. Prevent yourself and your beloved from drug. Join hands together and raise voice for the drug mafias.
" We need a drug free Balochistan "
How plastic bags alarming for whole globe?
The modern plastic sack was created within the early 1960's by a Swedish engineer by the name of Sten Gustaf Thulin. He created these plastic bags for the packaging concern Celloplast of Norrkoping, Sweden. Thulin's design produced an easy, strong bag with a high load-carrying capacity. Celloplast exposed these plastic bags worldwide in 1965.
Plastic bags become an enormous issue environmentally and economically within the last decade. this is often due to the high demand of plastic bags. When plastic bags were first invented back within the 1960's the necessity of plastic bags was quite low but now within the 20th century with a way bigger population the necessity for plastic bags is far higher. When plastic bags were first invented the family sizes were minor therefore the families could shop once every week rather than 2-3 times every week. This means that fewer plastic bags were getting used as compared to nowadays where families are doing shopping more frequently means that more plastic bags are getting used. People also are eating tons quite they want to so more groceries are wanting to be purchased per person.
Flexible, lightweight, and affordable. For billions of individuals, plastic bags are an efficient and cheap way to transport goods. because the production of plastic bags continues to extend worldwide
Plastic composition typically consists of polymers, whether they are organic, natural, or synthetic.
The two polymers that manufacturers maximum generally use in plastic bag production are polyethylene (excessive-density polyethylene (HDPE), low-density polyethylene (LDPE).
In Our Daily life
· When you purchase something, like foodstuff or clothes, the shopkeeper will normally pack them for you in a plastic bag. Once you get home, you’ll throw the consumer within the litter outside. this is often the foremost common way that plastic bags find yourself creating a menace to the environment.
And we all know plastic bags manufactured by polyethylene which is just too dangerous for us here I discuss few points.
Death of animals
Plastic bags kill about 100,000 animals annually. Many animals, including whales, dolphins, turtles, penguins, and dolphins, ingest plastic baggage as they mistake them food
• Plastic bags are non-biodegradable
Plastic can soak up to 2000 years to absolutely decompose, all of the plastic that has ever been synthetic nevertheless lingers within the environment. Which means you’ll never stay to determine the decomposition of plastic
Massive accumulations of plastic bags block drainage systems
Plastic bag accumulations are one among the foremost common causes of system clogging. Developing countries are the foremost affected with this problem.
A good example of this impact is that the floods that hit the Bangladesh about 20 years ago. There was extensive blockage of drainage systems, which was partly attributed to plastic shopping bags.
- Plastic bags are expose for childrens due to lungs complications
According to the planet Health Organization, when pregnant women are exposed to high concentrations of Phthalates and BPA, which are chemical compounds found in plastic, they'll give birth to children with lung problems.
- Plastic bags are made up of petroleum products
Production of plastic takes 60-100 million barrels of oil from the world’s petroleum reserves. Therefore, plastic contributes significantly to the depletion of this valuable resource, making the costs of petroleum products to rise every passing day.
- Plastic food storage packages have toxic chemicals
Studies have shown that meals that are eaten or heated in plastic bags end in the event of ulcers, asthma, obesity, and certain cancers this is often attributed to the very fact that plastic bags have some chemicals which will mix with the meal when heated.
- Toxic chemicals are released during plastic manufacturing
Ingredients of plastic bags include a plethora of neurotoxic, carcinogenic, and hormone-disruptive chemical substances. variety of those chemicals are also released as by-products of plastic production. When released, they eventually cause of death.
- Plastic can increase the danger of prostatic adenocarcinoma in men
While plastic-related chemicals largely affect women and youngsters, men also are in danger. consistent with a study by the planet Health Organization, men who are often in touch with phthalates and BPA have a better risk of developing prostatic adenocarcinoma. These chemicals also can undermine their reproductive health.
- Plastic pollution disrupts the natural organic phenomenon
Pollution from plastic materials, like plastic bags, affect the universe of feeding this is often because its harmful effects don’t spare any animal or plant within the organic phenomenon, starting from large terrestrial animals to microscopic plankton.
Government should take responsibility
We should strictly ban the plastic bags these bags destroyed our environment and still destroying we should take a hard step to avoid from plastic bags like other countries.
Instead of plastic bags we must use these things
- Paper bags
Paper bags are one hundred% biodegradable, reusable, and recyclable.
Many paper bags can withstand greater pressure or weight than plastic bags. Paper bags produce much less of a suffocation so that our children ,younger generation and animal can be save from different diastasis .it is much better as compared to plastic bag.
- Cotton bags
Cotton bags are far more beneficial for the environment thanks to their reusability and biodegradability. What’s even better is that these bags are natural renewable sources. The staple generates from farming the cotton which makes it renewable. Although the cotton farming is expensive thanks to the large water requirement, pesticides, and chemical fertilizer but it makes up an honest alternative to bag.
- Canvas bags
Canvas bags are made from cotton which is more durable and comes within the sort of sizes and shapes compared to the normal cotton bags, these bags are much lighter in weight and cost-effective to feature another specialty the canvas bags are often washed regularly and reused as repeatedly as you would like.
- Basket bags
Basket Bags might look rustic but that’s the rationale they're still around. These are few things which may be carried in basket bags like eggs, flowers, and bottles.
Asad Ur Rehman Khalid, Pakistan
Many many congratulations;
Its going to wish all Muslim brothers and sisters congratulations for reconverting hagia sofia museum once again to Masque by Recep Thayyub Urdgan. InShaAllah soon Khilafat Usmania will be established in Arab countries. This were the first step towards Khilafat.
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Com passagens por tradicionais clubes do futebol brasileiro, Maylson foca na sequência da temporada após título nacional em 2019
São mais de dez anos como atleta profissional e passagens por tradicionais clubes do futebol brasileiro. Revelado pelo Grêmio, o meia Maylson já defendeu as cores de Sport, Portuguesa, Figueirense, Criciúma, Chapecoense e Náutico.
Nesta temporada, o jogador retornou ao futebol gaúcho. Maylson atuou pelo Novo Hamburgo no campeonato estadual. Porém, após a paralisação do torneio devido à pandemia do novo coronavírus, ele acertou a rescisão do vínculo com o Noia. Em Florianópolis, o meio-campo mantém uma rotina de treinos diários enquanto define o seu futuro.
"O corpo é o meu instrumento de trabalho e preciso estar sempre bem fisicamente. Por isso tenho treinado todos os dias. Estou analisando algumas situações para a sequência da temporada e creio que em breve teremos novidades. A minha preparação tem sido muito positiva e espero chegar ao meu novo clube na melhor condição possível", destacou o jogador, de 31 anos, que acumula títulos por Grêmio, Portuguesa e seleção brasileira sub-20.
De olho no segundo semestre, Maylson espera concluir a temporada da mesma forma que terminou 2019: com conquistas. O jogador foi campeão da Série C pelo Náutico e emplacou o seu terceiro acesso na carreira — ele já havia subido para a elite do Brasileirão com Sport e Figueirense.
"O ano de 2019 terminou de forma muito positiva, já que pude subir de divisão com o Náutico e ainda fomos campeões da Série C. A sensação de finalizar a temporada com uma conquista é muito boa e espero viver isso novamente neste ano. Independente do lugar para onde eu for, estarei motivado em ajudar a concluir os objetivos traçados", completou Maylson.