Rohita Rana
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Atomic radii vary in a predictable way across the periodic table. As can be seen in the figures below, the atomic radius increases from top to bottom in a group, and decreases from left to right across a period . Thus, helium is the smallest element, and francium is the largest.
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How to rank elements by increasing atomic radius?
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Calculus 3 (multivariable calculus), part 1 of 2.,Udemy.
5 ☆ / 5
To download tutorial or watch: Calculus 3 (multivariable calculus), part 1 of 2.
Why this tutorial?
Udemy Calculus 3 (multivariable calculus), part 1 of 2.
Note: Towards and through the vector fields, part 1 of 2.. Hania Uscka-Wehlou is the instructor of this tutorials.
To download tutorial or watch: Calculus 3 (multivariable calculus), part 1 of 2.
Benefits from this tutorials
- How to solve problems in multivariable calculus (illustrated with more than 200 solved problems) and why these methods work.
- Parameterize some curves (straight lines, circles, ellipses, graphs of functions of one variable, intersections of two surfaces).
- Describe position, velocity, speed and acceleration; compute arc length of parametric curves; arc length parametrization.
- Limits, continuity and differentiability for functions of several variables. Theory, geometric intuitions, and lots of problem solving.
- Several variants of the Chain Rule, involving different kinds functions. You will also learn how to apply these variants of the Chain Rule for problem solving.
- Several variants of the Implicit Function Theorem, with various geometrical interpretations; problem solving.
- Optimization of functions of several variables, both on open domains and on compact domains (Lagrange multipliers on the boundary, etc.).
To download tutorial or watch: Calculus 3 (multivariable calculus), part 1 of 2.
Video Tutorial Details
Calculus 3 / Multivariable Calculus. Part 1 of 2.
Towards and through the vector fields.
(Chapter numbers in Robert A. Adams, Christopher Essex: Calculus, a complete course. 8th or 9th edition.)
C0 Introduction to the course; preliminaries (Chapter 10: very briefly; most of the chapter belongs to prerequisites)
About the course
Analytical geometry in R^n (n = 2 and n = 3): points, position vectors, lines and planes, distance between points (Ch.10.1)
Conic sections (circle, ellipse, parabola, hyperbola) and quadric surfaces (spheres, cylinders, cones, ellipsoids, paraboloids etc) (Ch.10.5)
Topology in R^n: distance, open ball, neighbourhood, open and closed set, inner and outer point, boundary point. (Ch.10.1)
Coordinates: Cartesian, polar, cylindrical, spherical coordinates (Ch.10.6)
You will learn: to understand which geometrical objects are represented by simpler equations and inequalities in R^2 and R^3, determine whether a set is open or closed, if a point is an inner, outer or boundary point, determine the boundary points, describe points and other geometrical objects in the different coordinate systems.
C1 Vector-valued functions, parametric curves (Chapter 11: 11.1, 11.3)
Introduction to vector-valued functions
Some examples of parametrisation
Vector-valued calculus; curve: continuous, differentiable and smooth
Arc length
Arc length parametrisation
You will learn: Parametrise some curves (straight lines, circles, ellipses, graphs of functions of one variable); if r(t) = (x(t), y(t), z(t)) is a function describing a particle’s position in R^3 with respect to time t, describe position, velocity, speed and acceleration; compute arc length of parametric curves, arc length parametrisation.
C2 Functions of several variables; differentiability (Chapter 12)
Real-valued functions in multiple variables, domain, range, graph surface, level curves, level surfaces
You will learn: describe the domain and range of a function, Illustrate a function f(x,y) with a surface graph or with level curves.Limit, continuity
You will learn: calculate limit values, determine if a function has limit value or is continuous at one point, use common sum-, product-, ... rules for limits.Partial derivative, tangent plane, normal line
You will learn: calculate first-order partial derivatives, compute scalar products (two formulas) and cross pro- duct, give formulas for normals and tangent planes; understand functions from R^n to R^m, gradients and Jacobians.Higher partial derivates
You will learn: compute higher order partial derivatives, use Schwarz’ theorem. Solve and verify some simple PDE's.Chain rule: different versions
You will learn: calculate the chain rule using dependency diagrams and matrix multiplication.Linear approximation, linearisation, differentiability, differential
You will learn: determine if a function is differentiable in a point, linearisation of a real-valued function, use linearisation to derive an approximate value of a function, use the test for differentiability (continuous partial derivatives), and properties of differentiable functions.Gradient, directional derivatives
You will learn: calculate the gradient, find the direction derivative in a certain direction, properties of gradients, understand the geometric interpretation of the directional derivative, give a formula for the tangent and normal lines to a level curve.Implicit functions
You will learn: calculate the Jacobian determinant, derive partial derivatives with dependent and free variables of implicit functions.Taylor's formula, Taylor's polynomial
You will learn: derive Taylor's polynomials and Taylor's formula. Understand quadratic forms and learn how to determine if they are positive definite, negative definite, or indefinite.
C3 Optimisation of functions of several variables (Chapter 13: 13.1–3)
Optimisation on open domains (critical points)
Optimisation on compact domains
Lagrange multipliers (optimisation with constraints)
You will learn: classify critical points: local max and min, saddle points; find max and min values for a given function and region; use Lagrange multipliers with one or more conditions.
Also make sure that you check with your professor what parts of the course you will need for your midterms. Such things vary from country to country, from university to university, and they can even vary from year to year at the same university.
A detailed description of the content of the course, with all the 255 videos and their titles, and with the texts of all the 216 problems solved during this course, is presented in the resource file "Outline_Calculus3.pdf" under video 1 ("Introduction to the course"). This content is also presented in video 1.
Who this course is for:
- University and college engineering
To download tutorial or watch: Calculus 3 (multivariable calculus), part 1 of 2.
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If You Are Really Smart Then download or watch Udemy Calculus 3 (multivariable calculus), part 1 of 2. video tutorials for free?
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Last weekend, McKay Nielsen took his daily scroll through the Reddit page “Exmormon”, a forum meant in part for those who have cut ties with the Mormon Church.
He decided to post a hypothetical question: What might happen if the President of the Mormon Church, Thomas S. Monson, suddenly decided to tell the world that the religion is all a lie.
“There would still be believers,” Nielsen told the more than 35,000 members of the forum.
The post by the 22-year-old from South Jordan, Utah launched a nuanced discussion surrounding some Mormons’ seemingly unbreakable loyalty to their church.
One followed up by writing that perhaps the religion is more like its own country, providing members with an intimate, safe community for the price of worship and strict lifestyle rules.
Like many of the other members of the Reddit group, Nielsen recently left the Mormon Church. He had been raised in the faith, but resigned soon after he realized he was attracted to men.
He said he has relied on the forum and other online and in-person ex-Mormon groups to get him through the transition. “I can’t really express my feelings here at home with that because it would just cause drama,” said Nielsen, who lives with his parents and younger siblings, all active members of the church. “I have to have some way of communicating with people who feel the same way.”
Nielsen is not alone.
This month marks one year since the Church of Jesus Christ of Latter-day Saints (LDS) updated its stance on same-sex unions, threatening expulsion for adults in same-sex marriages and withholding baptism for their kids.
Although they updated that stance slightly last month by saying that members who are attracted to people of the same sex are not necessarily sinful, the effects on membership have had an impact.
The immediate result was a group-resignation that involved about one hundred members leaving the some 15-million-member church. Since then, thousands more have followed suit. “The policy came out like a significant bombshell,” said Philip Barlow, who directs religious studies at Utah State University.
But that policy decision is not the only reason people are choosing to leave, Barlow explained. At the same time that the Internet’s fountain of information on Mormonism--some true and some extremely misleading, said Barlow--is making some question what they’ve been raised to believe, there is also an overall shift among young people in the U.S. who have opted to move away from organized religion altogether.
“Undoubtedly this is a historic time,” said Barlow, who is a member of the LDS Church.
Only about 64 percent of those raised Mormon continued to adhere to the faith when they entered adulthood, according to the 2014 Pew Religious Landscape Survey. That is six percent less than the numbers in 2007. “This is especially true among Millennials,” said Jana Riess, senior columnist for Religion News Service.
And for those who stay, only about 25-percent of the young, single members are actually active in the faith, she said.
The Mormon Church declined to provide a comment for this article.
No matter why someone decides to leave the church, the process can be fairly grueling. In order to no longer be considered a member, you must submit a letter that announces your official resignation, according to Mormon No More, an organization that is meant to help people leave Mormonism. “WARNING: If you live with people who are members of the church, they will almost certainly be told about your resignation,” stated the website.
Once the letter has been submitted, you’ll likely receive some follow-up messages attempting to change your mind, as well as a visit (through mail or sometimes even in-person) from a local bishop or branch president. The process can take a few months, so lately many members have started to resign through an attorney so that the church can’t contact them.
Nielsen said he opted to go the attorney route. “Doing it without an attorney is a long-winded process,” he said.
There is also a substantial emotional toll that leaving Mormonism can take. The Mormon community is very close and reliant on one another, so breaking out of that group can be fairly traumatic. “Mormonism as a whole is so knit together as a community,” said Barlow.
That’s where support groups come in. From PostMormon.org, a website full of personal resignation stories, blogs and support groups that has more than 10,000 current members, to Postmormons and Friends, a 2,100-member group that meets in Salt Lake City every Sunday morning so attendees can talk about their experience leaving the church, Utah has a wide array of resources.
“I’m surprised at how many post-Mormon meet-ups there are,” said Nielsen. “And subscribers on the Reddit page just continue to grow.”
Natalie Harris, a 24-year-old from Bluffdale, Utah, recently started work as an organizer for two Meetup groups for former Mormons, “Non-LDS Single Parents” and “Non-LDS Singles.” She was raised Mormon, and began questioning the faith when she was a teenager, but it took a few years for her to leave.
She said the groups allow her to be around other people who have gone through the same thing. “It’s nice because we’re all there to support each other,” said Harris.
At some of her meetings, Harris said the Mormon Church never even enters into the conversation. While at the beginning of the transition, venting frustrations and grief can feel very necessary, at some point that begins to lessen.
Many start to adapt to their new life, sometimes with the support from their family and Mormon friends but sometimes not. In either case, this support group and many others like it then transforms--at least for one day--into simply a fun get-together for good friends.
Harris recalled being at a BBQ for Non-LDS Singles a few months ago and meeting a young woman who told her that her parents don’t want anything to do with her now that she left Mormonism. Harris said she completely understood the woman’s pain. So she gave the woman a hug and told her what she thought would help: “If your parents don’t love you for who you are they don’t deserve to be in your life.”
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How to officially leave the mormon church?
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The club was founded in 1878 but did not turn professional until 1936; it was subsequently elected to join the Football League in 1938. Ipswich won the English league title in 1961–62, their first season in the top flight, and finished runners-up in 1980–81 and 1981–82.
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The only time you should stand up to Gozuki is when using your Burst Counter (L1+O). When he flashes red, immediately hit him with that (assuming you have the Anima for it), to stun him, do damage and deplete a lot of his Ki. Gozuki's worst move is one where he'll lower his horns and try to charge/gore you.
Source: www.gamepur.com
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