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A mathematical statement amounts to a proposition or assertion of some mathematical fact, formula, or construction. Such statements include axioms and the theorems that may be proved from them, conjectures that may be unproven or even unprovable, and also algorithms for computing the answers to questions that can be expressed mathematically.
Among mathematical objects are numbers, functions, sets, a great variety of things called "spaces" of one kind or another, algebraic structures such as rings, groups, or fields, and many other things. Mathematicians study and research in all the different areas of mathematics. The publication of new discoveries in mathematics continues at an immense rate in hundreds of scientific journals, many of them devoted to mathematics and many devoted to subjects to which mathematics is applied such as theoretical computer science and theoretical physics.
In calculus, the integral of a function is a generalization of area, mass, volume, sum, and total. The following pages list the integrals of many different functions. From Wikipedia, the free encyclopedia. Lists of statistics topics. Lists of things named after mathematicians. Philosophy of mathematics Mathematical logic Set theory Category theory. History of mathematics Recreational mathematics Mathematics and art Mathematics education Order theory Graph theory.
Pure Applied Discrete Computational. Category Portal Commons WikiProject. Retrieved from " https: Mathematics-related lists Lists of lists Wikipedia outlines.
Can video gaming really help solve world problems? What are genetically modified food technologies able to do? How does this compare with traditional plant breeding methods? Should genetically modified food technologies be used to solve hunger issues? Since it is now possible to sequence human genes to find out about possible future heath risks, is that something everyone should have done? What are the advantages or disadvantages?
If people have genetic testing, who has the right to that information? Should healthcare companies and employers have access to that information? If parents have genetic information about their children, when and how should they share it with the child? What sort of genetic information should parents seek about their children and how might this influence raising that child?
Would having cars that drive themselves be a good or bad idea? How might travel in the future be different? Should information technologies and Internet availability make work from home the norm?
What is the best way for infertile couples to have a child? Should research into mechanical reproduction technologies be unlimited? What do we do about frozen embryos that won't be used by the donating couple? Should "adopting" frozen embryos be encouraged more widely?
Is mechanical reproduction ethical? Is there a difference between raising adopted and birth children? How can we best take care of the problem of unwanted pregnancies? What makes a person a mother or a father?
What regulation should there be on the infertility technologies? Should health insurance plans cover infertility technologies?
An article about egg and sperm donation How important is it to have a genetic connection with your children? Do egg donors and children have rights to a relationship? Should egg and sperm donors be compensated? Is surrogate pregnancy a good way for a couple to get a baby? Is it right that surrogacy is heavily advertised to military wives?
Should surrogates be used for any reason, or only for health reasons? Should there be regulations of international surrogacy? What do we need to do in order to make organ donation a better experience for everyone involved? When is a person dead? How do we define death?
Should organ donors be given pain medications? Should we choose organ donation for ourselves and our loved ones? Do organ donors feel pain? What is the best method of organ replacement to solve the problem of a shortage of donors?
What is the best way to help people who have lost a limb? Is it ethical to use tissue from animals in people? Are using embryonic stem cells necessary, or will technological innovations make these obsolete? Should more funding grants from the National Institute of Health which tend to support research projects without immediate practical applications go to practical research projects which produce direct medical help to individuals?
When considering war, should we factor in the medical costs of soldiers who will return wounded? What is the best way to help solve the problem of a rising number of people with Type 2 diabetes in the U. What is the best way to treat people with morbid obesity? Should bypass surgeries be used as a standard cure for type 2 diabetes? What is the cause of the recent increase in diabetes in the U. How much of diabetes type 2 and obesity is genetic?
How much is behavioral? Should people with obesity and diabetes or other diseases pay more for health care? Should we ban human cloning?
What makes people human? How does cloning change the value of human life? How should we best solve the problem of genetic diseases? Is there a point when genetic engineering has gone too far? Who should decide the limits of how genetic engineering is used? What is the best way to use the technologies of genetic engineering to help humans? Which genetic engineering projects should be given the most funding?
Technical Experiments on Humans. Medicine, Experiments, and Human Identity Should human life be deemed more important than animal life? What is the dignity of human life and how should we observe this in medical situations?
Who decides how far medical research should go? Should there be limits to the scientific investigation on humans? Is is our DNA, our appearance, our choice, our family or our cultural environment? How important is DNA information in forming our identity? Should people get Ancestry DNA testing? Should identifying as multi-racial be more common? What is the self? Can it be found in scientific investigation? Does science have the final say about who we are?
Will technology create an Inception effect where people will not be able to distinguish out-of-body from in-body experiences? How will virtual reality technology change us? Is virtual reality the future? Should there be a limit to the research on virtual reality? What are the uses and benefits of virtual reality technologies? Is controlling brains with technology like light ethical? How important is it to find alternative treatments something other than drugs for mental illness?
What is the best way to treat mental illness? Has an increase in the use of technology affected the rise of mental illness in the U. If it were possible, should technologies be used to control drug addictions? Should we seek ways to control the brain with technologies? What are the social dangers of brain-controlling technologies? How important is it to monitor and limit our social media intake? Is addiction to technology something we should worry about?
Are the distractions of using social media negatively influencing the workplace? Has media hurt or helped family communication? What is the best way to manage technology in relationships? What is the best way to maintain a close relationship? Is using technology in college classrooms a good or bad idea?
What is the best way for educators to incorporate social media in their classrooms? What is the best way for educators to use technology to teach? Should there be social rules about cell phone use in schools or the workplace? How are technologies changing the way people interact in the workplace? Have texting and social media damaged this generation's ability to communicate in person?
Do cell phones and social media make family relationships stronger? How has texting changed the way we communicate with one another? What are the dangers of texting? When is texting rude? Has texting made this generation less respectful of other people? How important is this? Should there be limits to the access a university or employer has to social profiles?
Should teachers have limits on social networking with students? How should professionals use Facebook or other social media?
Should there be more regulations on social media privacy? How large a role should social profiles have in hiring and other decisions? How justifiable is it to take legal action against someone for posts on social media sites? Do more guns make people more or less safe? How much money should the U. What would happen if someone detonated a nuclear bomb today? How should the U. Should we destroy our nuclear weapons? How has modern warfare technology changed the way we view war? Has technology made the world safer or less safe?
Should drones be used in modern warfare? What is the effect of taking people out of direct combat with the enemy? Does an online format cause readers to skim rather than fully digest information?
Is being able to find information quickly online a good or bad thing? How do we gauge intelligence? How is Google search changing us? How should we change teaching to incorporate new technologies? How important is it that schools teach using iPads, Smart Boards, social media, and other new technologies? Is there an intelligence developed through conventional reading and research which is being lost in the digital age?
If Google prefers their own brand of information, are we getting the best when we search? Are blogs better than books? Do schools and parents need to encourage or discourage media use? How is reading digitally different than reading print? Is the digital generation going to be smarter or dumber? Is Google affecting the attention span of young people? Is using technology for entertainment a bad thing? Information Storage see videos How can storing information on DNA create new information system technologies?
Are there any ethical objections to using DNA for storage? Is unlimited data storage a good thing? How can humans manage these large amounts of information? Should we worry about the fact that the line between the human brain and a computer is getting blurred?
Is it a problem that computers will soon be able to think? Should we build robots to do many of the tasks people don't like to do? How relevant is the Wall-E scenario to our future? What will be the consequences of everything moving into the cloud?
Can reinforcement learning teach robots to be more intelligent and more like humans? Since open-source is becoming more of a trend in computer science, how can computer programmers be able to protect a device? How will big data and bioinformatics change biology? What is machine learning? How important is it? Where will machine learning have the most impact? How will virtualization change entertainment? How will virtual reality change education? Is virtual reality a good or bad thing? What is the next level for the Internet?
How can the Internet be changed to make it better? If computers take over many of our tasks, what will humans do? Which computer languages are going to be most important in the future? If there is a new computer language to be invented, what does it need to do to be better than the languages we now have? How are robots changing health care? These technology research topics represent arguable claims or ideas people don't agree on.
Arguable claims make good research topics because there are several points of view that you can investigate. I think the question of how If you are critiquing this practice, you might want to consider: Is human chip implantation an invasion of privacy? Should you volunteer to get a microchip? What is the role of Is modern technology helping humans be more efficient or lazier? You could combine these ideas with one of the questions below: How are young people's relationships changing because of social media?
Does social media interfere or help face-to-face communication? Here are some other topic Here are some ideas: Will personal devices improve the productivity of students at school? Should schools provide personal devices or should students bring them from home? How do personal devices affect student productivity?
How do personal devices affect the productivity of educators? How to personal electronic devices affect the modern classroom? How are cell phones negatively affecting our lives? To what extent do cell phones make teens lives worse? How is having a computer making a business person's life harder?
How does email make the workplace less efficient? What effect does social media have on the workplace? What do you think of "When will we have robots? Here are some possibilities: Will robots ever be a part of the family?
Will robots take over most human jobs in factories? What industries and jobs are most likely to be done by robots in the future? Will robots replace humans as caretakers of the young and old?
Will robots become as intelligent as humans? Are human-like robotic androids a real possibility in the future? Will robots ever be able to do everything humans can do?
When will the average person have a personal robot? Are devices like "robotic vacuum cleaners" and Alexa really robots? What is a robot? Here are some other questions on this topic: Is it possible to bring back extinct animals? Why do scientists want to bring back extinct animals? Are movie scenarios like "Jurrasic Park" really possible?
Should humans bring back extinct animals? Is it ethical for humans to re-create extinct animals just to study them? What are the possible dangers in bringing ancient DNA back to life?
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Abstracts / Topics / Abstract Format / Review Criteria / Manuscripts / Oral Presentation Guidelines / Poster Presentation Guidelines / US Visa Information / Student Support / Micrograph Contest. Abstracts Abstract submission for the . Virginia has been a university English instructor for over 20 years. She specializes in helping people write essays faster and easier. Science topics are interesting to write and easy to research because there are so many current and reputable journals online. Start by browsing through the topic.