What is the helix curve?

A helix, sometimes also called a coil, is a curve for which the tangent makes a constant angle with a fixed line. Helices come in enantiomorphous left- (coils counterclockwise as it “goes away”) and right-handed forms (coils clockwise).

How do you find the curvature and torsion of a curve?

5.2 Computing Curvature and Torsion for a Curve Represented by Equations

First find a tangent vector to the curve at r’.
Normalize this vector to find a unit tangent vector, t(r’), for C at r’, by dividing this cross product by its magnitude:

How do you calculate the curvature of a helix?

1 Answer

If r(t)=(3cost,3sint,5t) the curvature is.
r′(t)=(−3sint,3cost,5)
r″(t)=(−3cost,−3sint,0)
In general for the helix r(t)=(acost,asint,bt) the curvature is κ=ab2+a2.

How do you find the curvature of a curve at a point?

The radius of curvature of a curve at a point M(x,y) is called the inverse of the curvature K of the curve at this point: R=1K. Hence for plane curves given by the explicit equation y=f(x), the radius of curvature at a point M(x,y) is given by the following expression: R=[1+(y′(x))2]32|y′′(x)|.

What is curvature formula?

Section 1-10 : Curvature The curvature measures how fast a curve is changing direction at a given point. There are several formulas for determining the curvature for a curve. The formal definition of curvature is, κ=∥∥∥d→Tds∥∥∥ where →T is the unit tangent and s is the arc length.

How do you calculate a curve?

A common method: Find the difference between the highest grade in the class and the highest possible score and add that many points. If the highest percentage grade in the class was 88%, the difference is 12%. You can add 12 percentage points to each student’s test score.

Is grading on a curve bad?

The main benefit to using the curve is that it fights grade inflation: if a teacher doesn’t grade on a curve, 40% of her class could get an “A,” which means that the “A” doesn’t mean very much. However, if a teacher strictly bases the grades on the curve, then it restricts the number of students who can excel.

Can curving hurt your grade?

The problem of grading on a curve is that a certain number of students will get an A but the same percentage must also fail if you use the Bell Curve model. In the Bell Curve approximately 10percent get A’s, 20 percent get B’s, 40 percent get C’s, 20 percent get D’s, and 10 percent fail.

Can grades be curved down?

In the American education system, a curving method is often employed before assigning grades. While there exists variation in how this takes place, there is a major downside to curving a given class section’s grades; these grades can be curved down instead of up.

Is Bell Curve good or bad?

Performance appraisal using the bell curve will create a sense of uncertainty in the minds of the employees who have been graded badly because they might assume that in a tough job market, they would be the first ones to be fired. This would lead to a loss in morale and even poorer performance at the workplace.

What does curve mean in grading?

Grading on a curve refers to the process of adjusting student grades in order to ensure that a test or assignment has the proper distribution throughout the class (for example, only 20% of students receive As, 30% receive Bs, and so on), as well as a desired total average (for example, a C grade average for a given …

Does Harvard grade on a curve?

Harvard grades everyone on a curve, and basically never gives lower than a B. They use “A+” as a system to identify the truly exceptional people. My point is that a professor should be able to write 20 questions that are relevant and interesting, and just look at the distribution of results to assign grades.

Can you fail at Harvard?

In reality, it’s very difficult to fail out of Harvard. With Harvard’s grade inflation, about half of the grades awarded are either A’s or A-‘s. In fact, Harvard has a rule that not more than 50 percent of any graduating class can graduate with honors.

Who has the highest GPA in Harvard?

Ellie Hylton

What is the average grade at Harvard?

The average reported GPA was a 3.65. The median reported GPA was a 3.70. Eleven percent of seniors reported a GPA less than a B+ average, while 58 percent of seniors reported a GPA of at least an A-. Students with at least one parent who attended Harvard reported a higher average GPA—3.70—than non-legacy students—3.64.

Can I get into Harvard with a 3.7 GPA?

According to a report in the New York Times the average academic index of students admitted to Harvard, Princeton and Yale is 220. So yes, you have a chance to get in if you have a 1500 SAT Score and near perfect SAT Subject Test scores along with a 3.7 GPA.

Can I get into Harvard with a 3.9 GPA?

GPA Needed for Harvard The average GPA of admitted students at Harvard is 3.9 unweighted and 4.15 weighted. If applicants apply to Harvard and their test scores and GPA fall below the average or middle 50%, students will likely be rejected, waitlisted, or deferred if they applied in the early round.

Is a 3.8 GPA good?

Is a 3.8 GPA good enough to get into college? Your GPA reflects your entire academic record. A 3.8 sits between an A and an A- and is a strong average. However, as you look toward the college admission process, you may see that some of the most selective schools have freshman classes with higher GPAs.

Can I get into Harvard with a 3.8 GPA?

A2A. Should I apply to Harvard or Stanford with a 3.8 GPA? A cumulative GPA of 3.8 is within range admitted students, so yes, you should apply assuming your standardized tests are within range and have accomplishments that will standout in your college essays.

Does Harvard Look at Grade 9 marks?

Students who attend Harvard are usually the top of their class. That being said, Harvard will look at your high school transcript which includes your freshman and sophomore grades. However, universities mainly focus on a student’s junior and senior year grades.

What is a 93 on a 4.0 scale?

How to Convert Your GPA to a 4.0 Scale

Letter Grade	Percent Grade	4.0 Scale
A	93-96	4.0
A-	90-92	3.7
B+	87-89	3.3
B	83-86	3.0

Is a 4.7 weighted GPA good?

At most high schools, this means that the highest GPA you can get is a 5.0. A 4.5 GPA indicates that you’re in very good shape for college. You’re most likely in high level classes earning As and high Bs. You have a low chance of getting into with a 4.5 GPA.

Is a 2.7 GPA good?

Is a 2.7 GPA good? This GPA means that you’ve earned an average grade of a B- across all of your classes. Since a 2.7 GPA is lower than the national average of 3.0 for high school students, it will limit your options for college. You can apply to colleges and have a good shot at getting admitted.

What grade is a 79%?

The 4.0 Scale

Percent Grade	Letter Grade	4.0 Scale
83-86	B	3.0
80-82	B-	2.7
77-79	C+	2.3
73-76	C	2.0

Is 59 a passing grade?

For instance: A – is the highest grade you can receive on an assignment, and it’s between 90% and 100% D – this is still a passing grade, and it’s between 59% and 69% F – this is a failing grade.

Is a D+ passing?

Technically, a D+ is a passing grade, but many institutions will not accept that grade for certain degrees. At some, a D+ is a passing grade and you’ll be able to count those courses towards your degree. At others, you’ll need a C or better.

Is Grade D fail or pass?

Technically, a ‘D’ is passing, but it’s a sort of a we-don’t-really-mean-it pass. A grudging pass, or perhaps a mercy pass. Or, it can be an “I don’t ordinarily fail students, but you’re testing my faith” pass. D’s make some level of sense if you believe that a ‘C’ is an average grade.

Is a 60 a passing grade?

In primary and secondary schools, a D is usually the lowest passing grade. However, there are some schools that consider a C the lowest passing grade, so the general standard is that anything below a 60 or 70 is failing, depending on the grading scale.

Is a 65 passing in college?

A letter grade of a D is technically considered passing because it not a failure. A D is any percentage between 60-69%, whereas a failure occurs below 60%. Even though a D is a passing grade, it’s barely passing. As such, it is not looked at favorably.