What is Branch: Definition and 215 Discussions

A branch (UK: or UK: , US: ) or tree branch (sometimes referred to in botany as a ramus) is a woody structural member connected to but not part of the central trunk of a tree (or sometimes a shrub). Large branches are known as boughs and small branches are known as twigs. The term "twig" often refers to a terminus, while "bough" refers only to branches coming directly from the trunk.
Due to a broad range of species of trees, branches and twigs can be found in many different shapes and sizes. While branches can be nearly horizontal, vertical, or diagonal, the majority of trees have upwardly diagonal branches. A number of mathematical properties are associated with tree branchings: they are natural examples of fractal patterns in nature, and, as observed by Leonardo da Vinci, their cross-sectional areas closely follow the da Vinci branching rule.

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  1. W

    Which branch of math does that?

    Which branch of math deals with "proofs" of the axioms in arithmetic and such? I'd be interested to look into it.
  2. F

    Solve Branch Rule Problem: Tips and Advice

    How do you do this problem? I've seen other branch problems where you just give + sign for current entering and - leaving and the unknown is going to make it equal 0, but what do you do in this case? http://focusedwolf.googlepages.com/branch.jpg
  3. J

    How did u decide on which branch?

    Next year ill have to directly go into a sub-discipline of engineering without a common year, I am tossing up b/w mechanical and Civil... my question is how if any1 had this dilemna and how did figured out what branch of engineering suited you most?
  4. G

    Why doesn't the residue theorem work for branch cut integration?

    I need help with a branch cut intgration. The problem is to show the following for 0< \alpha <1: \int_{0}^{\infty}{x^{\alpha - 1} \over x+1}={\pi \over sin\alpha\pi} I used the standard keyhole contour around the real axis (taking that as the branch cut), but using the residue theorem...
  5. E

    Current in Branch: Node Method Calculation

    I was wondering,when we have a voltage source connected to a node in series with a resistance connected to the ground like this: ,when determining the current on the branches through node method is the current on that branch 5/1k or v1+5/1k...
  6. S

    What is the contradiction in integrating around a contour with a branch cut?

    In complex analysis we say that for fn's like lnz we apply a branch cut along positive x-axis to make sure it's single valued. i.e restrict theta s.t 0<=theta<2Pi but we never allow theta to equal 2Pi as this would make lnz take on 2nd value. Let us integrate around a contour which goes from...
  7. M

    Why did the current go follow this branch instead the path of least resistance?

    Its me again! I listend to what you said about right when the switch is closed there is a huge change in current so the inductor is going to have massive resistance, but in this case, the current still seemed to go directly into the inductor and not branch off into the 5 OHM resistor toward the...
  8. A

    News Why is diplomacy crucial in the fight against terrorism?

    Well, this is interesting, and shows how little Bush knows about dealing with "terrorism" The UK tried this tactic with the IRA for years, and quiet frankly it had the opposite effect than was needed. War will not beat al-queda, deplomacy is needed now, if peace is actually what is wanted...
  9. J

    Connection between root and branch

    It is rather well known that the color of flowers on Hydrangea depends upon the pH of the soil in which it is planted. Low pH in the soil means blue flowers and high pH means pink. Here is a quote from the Texas A&M site on Hydrangea: Sometimes a single plant may have shades of both pink and...
  10. H

    Branch Points and Independent Current

    What is the relationship between the number of branch points and the number of independent current in a circuit?
  11. C

    Contour Integral with Branch Cut

    Hi, I've typed up my work. Please see the attached pdf. Basically, I am trying to sovle this problem. \int_0^\infty \frac{x^\alpha}{x^2+b^2} \mathrm{d}x for 0 <\alpha < 1. I follow the procedure given in Boas pg 608 (2nd edition)...and everything seems to work. However, when I...
  12. S

    News Executive Branch: Disputed Powers & Foreign Policy Constraints

    When disputes occur between Congress and the President, what is the tendency of the federal judiciary? For another question about the Prez, what are his constraints on foreign policy? Thanks for any help.
  13. MathematicalPhysicist

    What Are the Newest Fields of Research in Mathematics?

    which is the newest field in maths? when i mean "new" i refer to minimun 25-50 years of research in the field back from when it was founded? perhaps it's category theory or are there newer?
  14. S

    List the major branch of Physics

    Please answer ASAP."List the major branch of Physics and its 2 subfields we have studied and discuss each." (We have been studying Mechanics)... what are the subfields? Or am I reading the question wrong. I am so confused. *Steph*
  15. Monique

    Chimps Belong on Human Branch of Family Tree, Study Says

    From my dear collegues: National Geographic: http://news.nationalgeographic.com/news/2003/05/0520_030520_chimpanzees.html
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