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Sedumjoy
  • Member for 8 years
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10 votes
3 answers
5k views

Will $2$ linear equations with $2$ unknowns always have a solution?

10 votes
3 answers
8k views

Why is a gradient field a special case of a vector field?

6 votes
2 answers
11k views

Why is it that when a determinant = 0 then the homogeneous equations represented by the matrix has a non trivial solution? [duplicate]

6 votes
3 answers
517 views

Once a mathematical theorem is proven true like the Halting problem can it ever be disproven?

5 votes
1 answer
167 views

Can the square root of 2 be constructed to show its irrationality?

4 votes
9 answers
2k views

If an integer $m$ is odd how can it be proven that its square would be odd?

4 votes
1 answer
3k views

Are the real numbers an example of a Hilbert space or is it rather the real number plane?

4 votes
3 answers
562 views

Why is the integral of $\frac1{x^2}$ from $1$ to $\infty$ not the same as the infinite sum from $1$ to $\infty$?

4 votes
3 answers
183 views

At a minimum or a maximum why does the first approximation make no difference with small variations?

3 votes
1 answer
385 views

When calculating work using line integrals how is it known that paramaterization will not change the path?

3 votes
3 answers
896 views

Whys does 2 dimensional curl always measure twice the angular velocity of rotational component of velocity field?

3 votes
1 answer
102 views

In a two dimensional curl what does the number you get represent?

2 votes
2 answers
1k views

Does a double integral calculate an area or a volume?

2 votes
1 answer
109 views

In what sense is a geometric series geometric? [duplicate]

2 votes
3 answers
12k views

If the limit of a sequence equals infinity as $n$ approaches infinity does the sequence diverge?

2 votes
1 answer
3k views

Is the square root of negative 1 equal to i or is it equal to plus or minus i? [duplicate]

2 votes
0 answers
403 views

What is the relationship between linear transformations and solutions to linear equations?

2 votes
2 answers
1k views

Is a vector field a subset of a vector space?

2 votes
2 answers
93 views

Is the Total Differential a function or a number? Or neither.

2 votes
2 answers
2k views

How is the distance formula proven for anything greater than 3 dimensions?

2 votes
3 answers
1k views

What is the difference between a functional and a composite function? [closed]

2 votes
1 answer
3k views

What does it mean for an integral to be stationary?

2 votes
1 answer
178 views

Is the real coordinate space in polar coordinates the same as the real coordinate system for the plane?

2 votes
5 answers
554 views

Does it make mathematical sense to do an absolute convergence test if the original series diverges?

2 votes
2 answers
47 views

In what sense is the length of a parameterized curve an area?

2 votes
4 answers
2k views

Can arc length be a straight line?

1 vote
1 answer
94 views

Is a level set more than one level curve?

1 vote
3 answers
428 views

Is the vector field generated by $\langle-y,x \rangle$ a gradient vector field?

1 vote
1 answer
523 views

What is the difference between integrating a work function and a line integral?

1 vote
0 answers
24 views

How do you know what the units of force are measured in when calculating work with a line integral?