Research Findings:
1. Where do matrices come into play? Well, as you know (or maybe not, I don't know) a linear system can be seen in matrix-vector form as
2. Different fields in computer science needs different maths tools to support. Computer Graph needs Matrix. Video games needs Matrix.
3. Matrices are so similar to arrays, in fact, that arrays are typically used to represent matrices in computer programs.
4. Adjcency Matrix is used to model Graph.
5. n-vector, column vector, row vector,
6. zero matrix, diagonal matrix, identity matrix,
7. A, T, I, U, L, P, S
Impact:
1. Geometry
2. Linear Transformation
3. Terms
4. Notations, and Basic Operations
Applications:
1. Represent linear transformations
2. Games
Matrix Multiplication:
https://www.khanacademy.org/math/precalculus/precalc-matrices/matrix_multiplication/v/multiplying-a-matrix-by-a-matrix
https://en.wikipedia.org/wiki/Matrix_multiplication
http://math.stackexchange.com/questions/160328/what-is-the-usefulness-of-matrices
https://en.wikipedia.org/wiki/Applied_mathematics
Tuesday, April 26, 2016
Tuesday, April 19, 2016
Research about Science
Knowledge Sharing:
1. The scientific method is a body of techniques for investigating phenomena, acquiring new knowledge, or correcting and integrating previous knowledge.
2. scientific method as "a method or procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses."
3. The overall process of the scientific method involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments based on those predictions
4. Scientists then test hypotheses by conducting experiments.
5. Under modern interpretations, a scientific hypothesis must be falsifiable, implying that it is possible to identify a possible outcome of an experiment that conflicts with predictions deduced from the hypothesis; otherwise, the hypothesis cannot be meaningfully tested
6. The overall process involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments based on those predictions to determine whether the original conjecture was correct.
7. There are difficulties in a formulaic statement of method, however. Though the scientific method is often presented as a fixed sequence of steps, they are better considered as general principles.
8. When applying the scientific method to scientific research, determining a good question can be very difficult and affects the final outcome of the investigation
9. An hypothesis is a conjecture, based on knowledge obtained while formulating the question, that may explain the observed behavior of a part of our universe.
10. An invention is a unique or novel device, method, composition or process
11. The invention process is a process within an overall engineering and product development process.
12. Some inventions can be patented. A patent legally protects the intellectual property rights of the inventor and legally recognizes that a claimed invention is actually an invention.
14. A final point: a scientific hypothesis must be falsifiable, meaning that one can identify a possible outcome of an experiment that conflicts with predictions deduced from the hypothesis; otherwise, it cannot be meaningfully tested.
15. Testing is an investigation of whether the real world behaves as predicted by the hypothesis.
16. Scientists (and other people) test hypotheses by conducting experiments. The purpose of an experiment is to determine whether observations of the real world agree with or conflict with the predictions derived from a hypothesis.
17. Once a hypothesis is strongly supported by evidence, a new question can be asked to provide further insight on the same topic. Evidence from other scientists and experience are frequently incorporated at any stage in the process.
18. Science[nb 1] is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the Universe.
19. Scientists perform research toward a more comprehensive understanding of nature, including physical, mathematical and social realms.
20. A computer scientist is a scientist who has acquired knowledge of computer science, the study of the theoretical foundations of information and computation and their application.
21. Computer scientists typically work on the theoretical side of computer systems, as opposed to the hardware side that computer engineers mainly focus on (although there is overlap).
22. Although computer scientists can also focus their work and research on specific areas (such as algorithm and data structure development and design, software engineering, information theory, database theory, computational complexity theory, numerical analysis, programming language theory, computer graphics, and computer vision), their foundation is the theoretical study of computing from which these other fields derive
23. A primary goal of computer scientists is the development (and validation) of models—often mathematical in nature—for estimating the properties of computer-based systems (processors, programs, computers interaction with people, computers interacting with other computers, etc.) with an overarching objective of discovering designs that admit for improved performance (faster, better, cheaper, etc.).
24. A strong aptitude for mathematics is important for a computer scientist.
25. Good communication skills are also important for a computer scientist since a key part of being a good scientist is conveying results for use by others (generally via well-crafted publications and presentations).
26. Additionally, since computer scientists often work in teams on real-world projects, they must be able to communicate effectively with computer personnel, such as programmers and managers, as well as with users or other staff who may have no technical computer background
27. Computer scientists are often hired by software publishing firms, scientific research and development organizations where they develop the theories that allow new technologies to be developed.
28. Computer scientists can also be seen as a type of mathematician, seeing as how much of the field is dependent on mathematics itself.
29.
About Applied Science:
1. Disciplines which use science like engineering and medicine may also be considered to be applied sciences.
2. Applied science is a discipline of science that applies existing scientific knowledge to develop more practical applications, like technology or inventions.
3.
About Technology:
1. Technology ("science of craft") is the collection of techniques, skills, methods and processes used in the production of goods or services or in the accomplishment of objectives, such as scientific investigation.
2. Technology can be the knowledge of techniques, processes, etc. or it can be embedded in machines, computers, devices and factories, which can be operated by individuals without detailed knowledge of the workings of such things.
3.
References:
https://en.wikipedia.org/wiki/Applied_science
https://en.wikipedia.org/wiki/Computer_scientist
References:
https://en.wikipedia.org/wiki/Scientific_method
About Arts:
1. The arts represent an outlet of expression, that is usually influenced by culture and which in turn helps to change culture.
2. Major constituents of the arts include literature – including poetry, novels and short stories, and epics; performing arts – among them music, dance, and theatre; culinary arts such as baking, chocolatiering, and winemaking; media arts like photography and cinematography, and visual arts – including drawing, painting, ceramics, and sculpting.
3. In its most basic abstract definition, art is a documented expression of a sentient being through or on an accessible medium so that anyone can view, hear or experience it.
4. the arts' as "imaginative, creative, and nonscientific branches of knowledge considered collectively, esp. as studied academically
5.
References:
https://en.wikipedia.org/wiki/The_arts
1. The scientific method is a body of techniques for investigating phenomena, acquiring new knowledge, or correcting and integrating previous knowledge.
2. scientific method as "a method or procedure that has characterized natural science since the 17th century, consisting in systematic observation, measurement, and experiment, and the formulation, testing, and modification of hypotheses."
3. The overall process of the scientific method involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments based on those predictions
4. Scientists then test hypotheses by conducting experiments.
5. Under modern interpretations, a scientific hypothesis must be falsifiable, implying that it is possible to identify a possible outcome of an experiment that conflicts with predictions deduced from the hypothesis; otherwise, the hypothesis cannot be meaningfully tested
6. The overall process involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments based on those predictions to determine whether the original conjecture was correct.
7. There are difficulties in a formulaic statement of method, however. Though the scientific method is often presented as a fixed sequence of steps, they are better considered as general principles.
8. When applying the scientific method to scientific research, determining a good question can be very difficult and affects the final outcome of the investigation
9. An hypothesis is a conjecture, based on knowledge obtained while formulating the question, that may explain the observed behavior of a part of our universe.
10. An invention is a unique or novel device, method, composition or process
11. The invention process is a process within an overall engineering and product development process.
12. Some inventions can be patented. A patent legally protects the intellectual property rights of the inventor and legally recognizes that a claimed invention is actually an invention.
14. A final point: a scientific hypothesis must be falsifiable, meaning that one can identify a possible outcome of an experiment that conflicts with predictions deduced from the hypothesis; otherwise, it cannot be meaningfully tested.
15. Testing is an investigation of whether the real world behaves as predicted by the hypothesis.
16. Scientists (and other people) test hypotheses by conducting experiments. The purpose of an experiment is to determine whether observations of the real world agree with or conflict with the predictions derived from a hypothesis.
17. Once a hypothesis is strongly supported by evidence, a new question can be asked to provide further insight on the same topic. Evidence from other scientists and experience are frequently incorporated at any stage in the process.
18. Science[nb 1] is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the Universe.
19. Scientists perform research toward a more comprehensive understanding of nature, including physical, mathematical and social realms.
20. A computer scientist is a scientist who has acquired knowledge of computer science, the study of the theoretical foundations of information and computation and their application.
21. Computer scientists typically work on the theoretical side of computer systems, as opposed to the hardware side that computer engineers mainly focus on (although there is overlap).
22. Although computer scientists can also focus their work and research on specific areas (such as algorithm and data structure development and design, software engineering, information theory, database theory, computational complexity theory, numerical analysis, programming language theory, computer graphics, and computer vision), their foundation is the theoretical study of computing from which these other fields derive
23. A primary goal of computer scientists is the development (and validation) of models—often mathematical in nature—for estimating the properties of computer-based systems (processors, programs, computers interaction with people, computers interacting with other computers, etc.) with an overarching objective of discovering designs that admit for improved performance (faster, better, cheaper, etc.).
24. A strong aptitude for mathematics is important for a computer scientist.
25. Good communication skills are also important for a computer scientist since a key part of being a good scientist is conveying results for use by others (generally via well-crafted publications and presentations).
26. Additionally, since computer scientists often work in teams on real-world projects, they must be able to communicate effectively with computer personnel, such as programmers and managers, as well as with users or other staff who may have no technical computer background
27. Computer scientists are often hired by software publishing firms, scientific research and development organizations where they develop the theories that allow new technologies to be developed.
28. Computer scientists can also be seen as a type of mathematician, seeing as how much of the field is dependent on mathematics itself.
29.
About Applied Science:
1. Disciplines which use science like engineering and medicine may also be considered to be applied sciences.
2. Applied science is a discipline of science that applies existing scientific knowledge to develop more practical applications, like technology or inventions.
3.
About Technology:
1. Technology ("science of craft") is the collection of techniques, skills, methods and processes used in the production of goods or services or in the accomplishment of objectives, such as scientific investigation.
2. Technology can be the knowledge of techniques, processes, etc. or it can be embedded in machines, computers, devices and factories, which can be operated by individuals without detailed knowledge of the workings of such things.
3.
References:
https://en.wikipedia.org/wiki/Applied_science
https://en.wikipedia.org/wiki/Computer_scientist
References:
https://en.wikipedia.org/wiki/Scientific_method
1. The arts represent an outlet of expression, that is usually influenced by culture and which in turn helps to change culture.
2. Major constituents of the arts include literature – including poetry, novels and short stories, and epics; performing arts – among them music, dance, and theatre; culinary arts such as baking, chocolatiering, and winemaking; media arts like photography and cinematography, and visual arts – including drawing, painting, ceramics, and sculpting.
3. In its most basic abstract definition, art is a documented expression of a sentient being through or on an accessible medium so that anyone can view, hear or experience it.
4. the arts' as "imaginative, creative, and nonscientific branches of knowledge considered collectively, esp. as studied academically
5.
References:
https://en.wikipedia.org/wiki/The_arts
Subscribe to:
Posts (Atom)