Trees Definition and 101 Threads

A very popular activity here in Australia is the planting of trees for all sorts of reasons. I am a huge supporter in order to offset the destruction of the Amazon rainforest. But an article in Scientific American thinks it is critical to remove CO2...

https://www.atlasobscura.com/articles/tree-eyes-natural-navigation-

Looking at the result of a great number of fossil expeditions, I understand how you can construct the full or partial skeletons of a number of different animals, you would be able to certainly identify certain bones as belonging to a distinct animal. That's great. you now know there were these...

I know that the maximum number of trees in a heap will be when all the trees are of smallest order as possible. Then, after performing CONSOLIDATE operation on the heap, all the newly created trees in the heap will be of different orders. Since in a different exercise I showed that the minimal...

They from two completely different kingdoms plantae and animalia

I have done the working on the attached sheet, i got ##3## as the minimum. I do not have the mark scheme for this worksheet. Apple trees will have ##22## trees per row ( 3 rows in total). Bananas will have ##22## trees per row (4 rows in total). Mango trees will have ##22## trees per row (5...

Why are struct use for linked list and classes used for binary tree. honestly what is the different between a class and a struct? I have a teacher one tell me that a class was a struct on steroids. but what does that really mean ?

Attempt - I am stuck at this problem for hours, couldn't make any progress. Still, here's what I've done : Let ## e_1 \in E_1 \setminus E_2 ## be arbitrary. Suppose for the sake of contradiction that ## \forall ## ## e_2 \in E_2 \setminus E_1 ##, ## T_1' = \langle V,(E_1\setminus \{ e_1 \})...

https://www.abqjournal.com/1218873/on-the-trail-of-the-medallion-trees.html Medallions have been attached to trees that have had a core removed. The cores are used to count growth rings, the diameter of the core is a few millimeters and does not hurt the tree. The core can be long, like more...

Homework Statement FIGURE 2 shows an improved arrangement for separating water from the hydrocarbon liquid for the process in question 2. Two simple level control loops, LC, have been added to regulate flow control valves on a pumped system. Extra protection is also provided in the form of high...

Hello! (Wave) Wo consider the graph $G$ that we get by deleting any edge from the complete bipartite graph $K_{7,8}$. How many spanning trees does the complement graph $\overline{G}$ of $G$ have? Could you give me a hint how we can find the desired number of spanning trees? (Thinking)

Article here. Dog attending University learns to pay for its treats with leaves. Who said schooling is not worth it?

Homework Statement Homework Equations Reduce the matrix to reduced matrix by removing 1 row completely Number of trees = determinant of [ Ar times ArT ] The Attempt at a Solution I removed 4th row to get Ar(reduced matrix) Then I did Ar times Ar (transpose) And found it's determinant but I...

Homework Statement (P) / \ (F) (U) / \ / \ (D, E) (J, O) (T) (V) Given the 2-3 tree, delete F E V from the tree in the given order. Show the tree after each deletion. Homework Equations Min = 1 Max = 2 The Attempt at a...

My textbook says that formation of petrified trees is a result of a degradation and a sedimentation action of theunderground water, and then it goes on explaining that the underground water replaces the plant material in the tree with silica and other inorganic materials, which I think is a...

Homework Statement A uniform rope of weight ##W## hangs between two trees. The ends of the rope are same height, and they each make an angle ##\theta## with the trees. Find : a): The tension at the either end of the rope. b): The tension in the middle of the rope. Homework EquationsThe...

A tree seed takes water and minerals(?) from the ground, carbon and oxygen(?) from the air, and heat and light(?) from the sun. When a tree dies and dries up, it can be used as firewood, a source of energy. Is there a way to capture that energy without the seed-tree scenario? i.e., but can we...

What happens, if instead of having any pointer pointing to a node's parent, we had pointer pointing to the node's successor? We know, that Searching would remain the same. But in my opinion Insertion and Deletion would change. This would happen, because in insertion, we would be needed to find...

1)How much carbon dioxide does a mature tree use everyday? 2)How much oxygen is used by a mature tree everyday?

I wish to ask some question about natural numbers' construction by using logical trees, without using free variables. First, some background that leads to my question: True is notated by 1 ~True is notated by 0 p and q are two propositions as follows: p = 0 0 1 1 q = 0 1 0 1 So, we get...

So it is logically observed that no matter how many times the radix point is "pushed" "downward" along the unbounded logical tree, no logical path "above" the radix point has an unbounded number of bits, which logically means that no amount of bounded logical paths (which are equivalent to...

I wish to ask some question about natural numbers' construction by using logical trees, without using free variables. First, some background that leads to my question: True is notated by 1 ~True is notated by 0 p and q are two propositions as follows: p = 0 0 1 1 q = 0 1 0 1 So, we get...

Homework Statement Create a linear stack with N binary search trees (data of a tree node is an integer). Read N trees, push them on the stack. Then, empty the stack and store trees in the new array and print the content of the stack. 2. The attempt at a solution The following code gives...

i know that a node cannot have more than one parent given that these parents have common ancestor (because this is undirected cycle and a tree must have no cycles). but can a node have more than one parent given that these parents don't have common ancestor (which will produce an unrooted tree i...

Homework Statement We'll define a binary tree as a tree where the degree of every internal node is exactly 3. Show that the set of all binary trees is countable. Homework Equations A set is countable if it is finite or there is a one-to-one correspondence with the natural numbers. The Attempt...

Why has no one figured out yet an equation to count the number of unlabeled trees on n vertices?. I also have this dilemma between researchers and non-researchers. A researcher is just someone who is trying to find a solution to a problem for which no solution has been found yet. Right?, so if I...

Homework Statement A. Show that n^n−2/n! < T(n) by looking at how the symmetric group Sn acts on labelled trees. Use |Sn| = n! T(n) is the number of unlabeled trees on n vertices Homework EquationsThe Attempt at a Solution I can't find any mathematical relation between labelled trees and...

I am reading the book Mathematical Logic by Ian Chiswell and Wilfred Hodges ... and am currently focused on Chapter 3: Propositional Logic and, in particular, Section 3.4: Propositional Natural Deduction ... I need help with understanding an aspect of Example 3.4.3 which reads as...

Homework Statement Let T be any spanning tree of an undirected graph G. Suppose that uv is any edge in G that is not in T. The following proofs are easy by using the definitions of undirected tree, spanning tree and cycle a)Let G1 be the subgraph that results from adding uv to T. Show that G1...

Homework Statement Show that every 2-tree(Definition 3.2) with n internal nodes has n+1 external nodes Homework Equations A 2 tree is a tree which nodes have 2 children or no children. Internal nodes are nodes which have two children external nodes are leafs. The Attempt at a Solution Proof...

I don't understand the requirements for a red-black tree. Using this photo: https://upload.wikimedia.org/wikipedia/commons/6/66/Red-black_tree_example.svg One of the 5 required properties is that all leaves are black. A leaf is a node without a child, so that would only be 11 and 15 two links...

From mycology books and articles, I read that most land plants (> 80 percent) on Earth live in symbiosis with mycorrhizal fungi. In this symbiosis, plants provide glucose to fungi and fungi provide water and nutrients to the plants. Without fungi, plants cannot harvest nutrients in sufficient...

How many trees are in a graph if the number of nodes and the number of branches (or meshes) is given? I refer to the trees which has to "walk" through the nodes along the given branches (so no tree between 2 nodes without a connecting branch between them)

Hello guys, I have been wracking my little brain with this one. Why do fruit trees generally prefer a more acidic soil than vegetable plants. Veg plants like 6-7ph (except potatoes - why again !) Fruit around 5-6pH. Thanks in advance :)

I am not sure whether it should be here, or in statistical mathematics or in computers thread...feel free to move it. I am using it here because I am trying to understand the algorithm when it's used in particle physics (e.g. identification of neutral pions in ATLAS). As I read it: In general...

Draw a Binary Search Trees (BST) produced when data containing 30,40,50,60,10,20,55,15 is inserted one by one. Thanks.

Hi! (Wave) How can we find the depth of a perfect binary tree and how of a complete one? (Thinking) Since a perfect binary tree is a full binary tree, at which the leaves have the same depth, I thought that we can find the depth, by just looking at the leftmost nodes, like that...

Hello! (Wave) I want to draw trees, that traverse "MATHHELPBOARDS" in: pre-order in-order post-order That's what I have tried: pre-order in-order post-order Could you tell me if it is right or if I have done something wrong? (Thinking)

Hi, I'd like to know the log properties when they are the power of a constant. I've searched everywhere but I can't find it. the reason I want to know it is that, when solving a recursion tree problem, my teacher got an result of n^(log4 3) but I got 3^(log4 n). the base of the log haven't...

Hello, There are three different orders of traversal that we learned about ##\bullet## pre-order traversal ##\bullet## in-order traversal ##\bullet## post-order traversal Anyone know of any easy ways of remembering these 3 and how to order them? I have posted my lecture slides, but I could...

Can we start planting trees on Mars now? Considering that there are so many tree species on Earth that lives in extreme conditions, at least one of them would survive on Mars right? Imagine what Mars would be like in 50 years if we started doing this now.

Homework Statement Your car is smelly so you've placed a Little Trees air freshener in your rear view mirror. You begin to turn around a corner of radius R and the little tree starts to make an angle θ from the vertical. What is the angle θ as a function of the speed v and and radius R...

Hi, I'm currently stuck on how to construct a breadth first and depth first spanning tree for this graph, the algorithm that I'm following is somewhat ambiguous. I'd really appreciate if someone can provide an explanation on how I should go by doing this. Thanks

Just checking to see if my work is correct for these 5.

Future Cities Lit by Beautiful Bioluminescent Trees http://blog.suny.edu/2014/03/future-cities-lit-by-beautiful-bioluminescent-trees/

I just spent 5 minutes getting a problem wrong, only to stop for a second and try again to realize the problems answer was completely obvious, and very, very simple and I wanted to know what I could do to help prevent spending time on things that are obviously not wrong and see right off that...

In addition to herbs, some trees can act as weeds. In the southern Urals in Bashkortostan one of such weed trees is maple. It grows quickly, reproduces rapidly, and easily fills the land. So I have a question: is it possible to use a maple tree as a stock for fruit trees? Please, tell me which...

Prove that a graph on v vertices that has no cycle is connected iff it has precisely v-1 edges. Necessary Condition: A connected graph with no cycles is a tree. Therefore, it has v-1 edges. Sufficient Condition: I need help with this. How can I use "a connected graph has no cycles iff it has...

Homework Statement Write out a tree (this will be a big tree) of dependencies and hence write down an expression for ∂z/∂rHomework Equations z=k(x, y)=xy2, x=(w1)(w2)+w3, y=w4; w1=t, w2=t2, w3=2t+1, w4=sin(t); t=r2+2s2The Attempt at a Solution This is the tree I drew and followed the...

Homework Statement Homework Equations F = ma The Attempt at a Solution say I project the weight onto T then I get the right answer if theta = pi / 4 then Wcostheta = W / sqrt2 but if I project the tension onto the weight, i don't get the right thing i get the opposite, Tcostheta...