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Differential Geometry

Do non-orthogonal coordinate systems mean dependent coordinates?
4.6K threads
Undergrad Do non-orthogonal coordinate systems mean dependent coordinates?
Undergrad Functional analysis applications
  • cfddjk
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Graduate Trig identity in complex multiplication
  • Shaybay92
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5
Graduate Is Re(f) and Im(f) always differentiable for complex functions?
  • nonequilibrium
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11
Graduate Cosine = Contraction? (Banach)
  • nonequilibrium
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5
Undergrad Complex numbers, solving polynomial, signs of i
  • Platypus26
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Graduate Smoothness of Fourier Transforms for Rapidly Decaying Functions
  • mnb96
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7
Graduate Can Ln(-x) Ever Yield a Valid Solution Similar to Complex Numbers?
  • Simon43254
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9
Graduate What are Sobolev Spaces and why do they depend on dimension?
  • muzialis
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8
Graduate Solving Complex Functions: Evaluating at z=z_0
  • Jerbearrrrrr
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2
Graduate An expression in functional analysis
  • Charles49
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3
Undergrad Identity map and Inverse Image
  • wayneckm
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1
Graduate Knot Theory and higher dimensions
  • Galap
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1
Graduate Why is 1^(1/6) equal to cis(n*pi/3)?
  • dsanz
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9
Graduate Fourier phase (unwrapping problem)
  • mnb96
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2
Undergrad What's the formula for adding two complex numbers in polar form?
  • Juwane
  • · Replies 12 ·
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12
Graduate Monotonicity of convex function
  • hellbike
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1
Graduate How to Compute Residues of cot(piz)f(z)?
  • ~Death~
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1
Graduate Non-Hausdorff spaces by John L. Bell.
  • sutupidmath
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4
Undergrad Inequalities of real and complex numbers
  • Char. Limit
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3
Graduate Explore the Wonders of Polar Sets!
  • typhoonss821
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Graduate Defining Real Numbers Between Two Integers
  • Gear300
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3
Undergrad Solving for |a| in a Complex Number Equation
  • aviravir1
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4
Graduate What Are the Key Differences Between Complete and Sequentially Compact Spaces?
  • Hymne
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4
Graduate What is an example of a non-closed subspace in a normed space?
  • quasar987
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7
High School Domain Notation: Continuous Function
  • Shaybay92
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8
Undergrad How Does the Inverse of a Complex Number Affect Its Magnitude and Argument?
  • plexus0208
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4
Graduate Explore Why e^x Has Zero Roots Despite Being an Infinite Degree Polynomial
  • Mentallic
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5
Undergrad Complex Numbers: Why Use Complex Conjugate?
  • EngWiPy
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4
Undergrad Finding the square root of a+bi (complex number)
  • Georgepowell
  • · Replies 14 ·
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14
Graduate Help me solve this equation involving exponentials
  • AxiomOfChoice
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2
Undergrad How Do You Correctly Convert Complex Numbers to Mod-Arg Form?
  • Mentallic
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3
Graduate Basic question: meaning of partition of R into maximal connected intervals
  • seeker101
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1
Graduate Subspace/induced/relative Topology Definition
  • filter54321
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3
Undergrad Division with the rectangular form
  • Truthlover
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4
Graduate Graphing functions of two complex variables.
  • pbandjay
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2
Graduate Complex Solution of e^x = x | Math Help for College Student
  • marcusmath
  • · Replies 17 ·
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17
Undergrad Real and imaginary parts of an expression
  • Physicslad78
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1
Undergrad What is a Contour Integral and How is it Calculated?
  • Char. Limit
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15
Graduate Proving Triangle Inequality for d(x,A) & d(y,A)
  • Somefantastik
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3
Graduate Hi. Say we want to parametrize the plane R^2.
  • daudaudaudau
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Graduate What is the significance of symmetry in the complex plane?
  • lolgarithms
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3
Graduate Problems with identity in complex calc
  • betel
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2
Graduate Differences Between Real and Complex Spherical Harmonics in Signal Rotation
  • Cunicultor
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7
Graduate Solving i^i: Why is i^i = 0.2078?
  • fedaykin
  • · Replies 11 ·
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Graduate What is the relationship between feedback and topology in control systems?
  • thrillhouse86
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1
Graduate Can finite metric spaces be embedded into n-dimensional surfaces?
  • Dragonfall
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4
Undergrad How do you determine the cube root of (-1+i) in complex numbers?
  • rpardo
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5
Graduate Solving complex exponential polynomials
  • beechner224
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2
Graduate Continuous Function Outgrowing Polynomial but Not Exponential
  • disregardthat
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Graduate Favourite pathological examples
  • fourier jr
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5
Undergrad Imaginary numbers and Imaginary Time
  • TimBowe
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5
Graduate Cauchy sequence without limit in a complete space?
  • LumenPlacidum
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5
Graduate Colimits & Nonfaithful Functors: Real-Life Examples
  • fallgesetz
  • · Replies 1 ·
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1
Graduate Square Roots of Complex Numbers: Which Method is Correct?
  • Proofrific
  • · Replies 12 ·
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12
Graduate Need help with finding residue of a simple function
  • joris_pixie
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2
Graduate What's the difference between analytic and continuously differentiable?
  • AxiomOfChoice
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1
Undergrad Can These Two Complex Math Equations Be Solved Correctly?
  • RaYaMe
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3
Undergrad Proof: Solve Rational equation for interval
  • John O' Meara
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4
Undergrad Proof needed: polynomial of odd degree
  • John O' Meara
  • · Replies 6 ·
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6
Graduate Determining which sets are open?
  • ~Death~
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1
High School Why the point of x + iy would be (x, y) ?
  • I_am_no1
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Graduate Convergence of sequences in topological spaces?
  • ~Death~
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4
Graduate Algebraic and topological sets
  • SW VandeCarr
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3
Graduate Does every uncountable set of reals contain an interval?
  • dreamtheater
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3
Undergrad Exponential functions, and complex numbers
  • string_656
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11
Graduate Book Suggestions for Undergraduate Topology Class
  • cap.r
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2
Graduate Duality Pairing and Functionals
  • maros522
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5
Graduate Is the Mandelbrot Set Lebesgue Measurable?
  • Dragonfall
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6
Graduate Isomorphic between plane and line
  • hermitian
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4
Graduate Is There a Stronger Urysohn Lemma for Banach Spaces?
  • quasar987
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2
Graduate Converging Uncountable Sum of Positive Reals
  • Dragonfall
  • · Replies 12 ·
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12
Graduate Continuity & Uniform Continuity: Question on Solutions
  • student12s
  • · Replies 4 ·
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4
Graduate Why is $\mathcal{A} \cup \{0\}$ Compact but $\mathcal{A}$ is Not?
  • lukaszh
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4
Undergrad What Is the Geometric Term for the Cartesian Product of n Unit Intervals?
  • Tac-Tics
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3
Undergrad Problem with Logarithms solutions
  • Jacopo
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2
Graduate W=z^n- transformation in complex space
  • omri3012
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1
Graduate Finding the Right Measure Theory Course for Graduate Studies in Economics
  • mlarson9000
  • · Replies 17 ·
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17
Undergrad To find logarithm of a complex number
  • AlbertEinstein
  • · Replies 19 ·
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19
Graduate Solving a Functional Equation - Muzialis
  • muzialis
  • · Replies 4 ·
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4
Graduate Understanding H=L^2 in Quantum Mathematics
  • pellman
  • · Replies 4 ·
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4
Graduate Can Complex Spaces Be Projected onto Closed Real Spaces without Infinity?
  • thehangedman
  • · Replies 1 ·
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1
Graduate Understanding Completeness Axiom: Real Numbers & Subsets
  • Bleys
  • · Replies 4 ·
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4
Graduate Understanding Holder's Inequality: A Key Step in Proving Minkowski's Inequality
  • pbandjay
  • · Replies 3 ·
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3
Graduate Definition of open set in topology
  • kof9595995
  • · Replies 9 ·
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9
Graduate What is the formula for complex exponentiation with an irrational exponent?
  • Twinbee
  • · Replies 6 ·
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6
Graduate What is the intuitive meaning of a simply connected region?
  • de_brook
  • · Replies 4 ·
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4
Undergrad Definition of Complex Conjugate
  • Jest3r
  • · Replies 8 ·
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8
Graduate The Euler formula how was it developed?
  • Skynt
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4
Graduate Dividing S^3 into two separate pieces.
  • Spinnor
  • · Replies 1 ·
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1
Graduate Definition of uniform convergence written as math symbols
  • Gerenuk
  • · Replies 17 ·
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17
Graduate Functional Equation for $\sum_{n=0}^{N}n^{k}$
  • zetafunction
  • · Replies 1 ·
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1
Graduate Dirac delta function with complex arguments
  • JayFsd
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2
Graduate Testing if real-valued expressions are negative
  • CRGreathouse
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1
Graduate Foundations of measure theory?
  • tgt
  • · Replies 2 ·
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2
Graduate A strict non-standard inequality .999 < 1
  • Count Iblis
  • · Replies 11 ·
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11
Undergrad Proof: 0.9999 does not equal 1
  • greeniguana00
  • · Replies 11 ·
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11
Graduate What are the optimal constants for the Sobolev inequalities in 3D?
  • Gerenuk
  • · Replies 1 ·
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1
Undergrad Representing complex number as a vector.
  • dE_logics
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6
Graduate Complex Exponential: What is e^jw∞?
  • tommyhakinen
  • · Replies 1 ·
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1
Graduate Unbounded and continuous almost everywhere
  • Ja4Coltrane
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5