Question
In: Advanced Math
describe through mathematics how the central concepts of convergence and continuity transform from the usual Euclidean...
describe through mathematics how the central concepts of convergence and continuity transform from the usual Euclidean distance on the real line, to the more abstract notion of distance as given by a metric on a metric space, to finally a description that only refers to open sets. It should also describe how the concept of topology emerges from metric spaces.
Solutions
Colby Messinger answered 2 years agoRelated Solutions
The approach of mathematics has changed over the years. Describe how the approach of mathematics began starting...
The approach of mathematics has changed over the
years. Describe how the approach of mathematics began
starting in Ancient Babylonia, and then discuss how it changed
during the time of the Ancient Greeks. Then, compare
this to how mathematics is approached today. Be specific
in your description and explanation.
Describe the concept of convergence and how it relates to technology and e-commerce.
Describe the concept of convergence and how it relates to
technology and e-commerce.
Q3 (a) Briefly describe the extended Euclidean plane, and explain how it satisfies the axioms of...
Q3
(a) Briefly describe the extended Euclidean plane, and explain
how it satisfies the axioms of projective geometry.
(b) Describe the Real Projective Plane RP2, explaining what
points and lines in RP2 correspond to in R 3 with respect to an
‘all-seeing eye’ at the origin.
(c) Prove that the Cross-Ratio is preserved by every projective
transformation
Describe how blood is pumped through the heart from the entry of deoxygenated blood through the...
Describe how blood is pumped through the heart from the entry of
deoxygenated blood through the venae cavae to the exit of
deoxygenated blood out of the aortae, taking into account the roles
of the heart valves and cardiac conductance in the flow of
blood.
The Following are marketing concepts. Describe each of the concepts : Movement from mass production to...
The Following are marketing concepts. Describe each of the
concepts :
Movement from mass production to customized products
The importance of mission or “knowing what business you are
in”
The movement from “hard” to “soft”
Non-linear planning
Describe the continuity correction (covered in an earlier course unit), and explain how, when, and why...
Describe the
continuity correction
(covered in an earlier course unit), and explain how, when, and why
it is used in statistics. Don't limit your thinking to the most
common example given of this corrective step: approximation of
binomials using the Normal distribution. While that is an example
of such a correction, it is only one example. (Hint: You could
compare the development of this correction logic for discrete
distributions to the use of integration against continuous
distributions.) Discuss the more...
Describe the continuity correction (covered in an earlier course unit), and explain how, when, and why...
Describe the continuity correction (covered in an
earlier course unit), and explain how, when, and why it is used in
statistics. Don't limit your thinking to the most common example
given of this corrective step: approximation of binomials using the
Normal distribution. While that is an example of such a correction,
it is only one example. (Hint: You could compare the development of
this correction logic for discrete distributions to the use of
integration against continuous distributions.) Discuss the more...
Describe the continuity correction (covered in an earlier course unit), and explain how, when, and why...
Describe the continuity correction (covered in an
earlier course unit), and explain how, when, and why it is used in
statistics. Don't limit your thinking to the most common example
given of this corrective step: approximation of binomials using the
Normal distribution. While that is an example of such a correction,
it is only one example. (Hint: You could compare the development of
this correction logic for discrete distributions to the use of
integration against continuous distributions.) Discuss the more...
Describe how animal bodies (from sponges through the lophotrochozoans) have increased in complexity through the course...
Describe how animal bodies (from sponges through the
lophotrochozoans) have increased in complexity through the course
of animal evolution. Your answer should include examples from
several different lineages.
Describe the changes in sexuality from puberty through late adulthood. Describe how a person's definition and...
Describe the changes in sexuality from puberty through late
adulthood. Describe how a person's definition and experience of
sexuality and intimacy often fluctuates throughout his or her
lifespan. What are some of the influences as it relates to "changes
in sexuality from puberty to late adulthood"?
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