Re: The Memory Of The Trees
Abele Beardsley
Is it possible to find unique, thoughtful and lasting memorial gift ideas amongst all the sympathy flowers and cheesy trinkets? YES! Few tributes to loved ones will last as long as planting trees in the name of someone who has passed.
After suffering a loss, people are inundated with funeral flowers and plants that can brighten up a home for a short period of time only to die and be thrown away. Available for a fraction of the cost of flowers or plants, our memorial trees are gifts that live on and honor the departed for generations. As a result, these tree gifts serve as reminders of life and have deep meaning for the loved ones who receive them. Plus, this gift will stand out amongst those ordinary flowers and plants and send your wishes of sympathy in a memorable way.
When you give trees as remembrance gifts in honor of someone who is deceased, a real tree will be planted in a U.S. National Forest in his or her honor. The trees are placed in areas that have been decimated by wildfires, so your gift will make a lasting difference and help an area of woodlands recover and regain its former beauty. The U.S. National Forest service has identified over 1,000,000 acres of forest land that is in desperate need of restoration, so the need for new trees is huge. When someone plants a tree in memory, the recipient of gift will even be able to see photographs of the trees online and learn its geographic location. This makes it as if a piece of that person whom they have lost lives on in a real, tangible place. A card accompanies the gift that fully explains the memorial tree gift.
At Trees for a Change, we offer three types of gifts to suit every budget and need. Our Memorial Tree Gift Card is an affordable option that can even be purchased in groups of four at a discounted price. With this option, you can write your own message and send out the card inside of a sympathy card or on its own. To make your gift more personal, opt for our Memorial Tree Gift, and we'll include a personalized certificate and print a message of your choosing on the card. You can also opt to plant 5 trees as a tribute and receive the same personalization options. Our personalized gift options can be sent directly to your chosen recipient, or we can send them to you to present how you see fit.
Send your message of sympathy in a way that will pay tribute to the departed and bring comfort to your friend or family member. Plant a tree in memory with Trees for Change today and make a difference for a grieving person and for the entire planet.
We know that when you order from Trees for a Change, you are placing your trust in us, and we take that very seriously. There are a few other organizations that plant memorial trees, and you will not find evidence of actual tree plantings on their websites. Do they visit the trees? No. Can they show you photos of the trees? No. Are they actually planting the trees? Who knows. You can count on us to plant your tree because for us, it is all about the trees and the relationships we've built with our customers. We value integrity and transparency, so we give you as much information about our trees as we can. Knowing that together we can make positive changes for people and the environment while offering a meaningful gift is the reason we are in business.
As with her previous two albums, The Memory of Trees opens with a same-titled instrumental with wordless vocals. The track originated from Roma after she read about Irish mythology and the Celtic druids, who placed a great importance on trees and believed they were sacred and possessed wisdom. Enya maintained it does not mean an ecological statement, but more about what trees may think about humans. Roma suggested its title and Enya agreed, thinking the title was particularly strong and has a sense of ambiguity that allows the listener to conjure up their own images and ideas when they see and hear it.[2][11] When the title was agreed upon, Enya proceeded to write the song around two weeks later, which was an unusual way of working as the melody had always come first, followed by its title and lyrics.[3]
I just discovered that there are some tree based data structure that, when looking for high performance, are often times stored as a contiguous chunk of memory, this is especially popular when using the so called "policy based data structure" .
The problem is that I can't wrap my head around why one would like to do just that; when you try to "linearize" a tree to store it as a vector/array, how you make sure that you are re-arranging the branches and the leafs in a meaningful way that helps performance ? Is this ok only for perfectly balanced trees ?
Basically, the reasoning behind using a contiguous block of memory for such a structure is it greatly improves lookup and scan times when dealing with potentially large sets of data. If your memory is non-contiguous, you may have to employ costly traversal algorithms to retrieve data from the data structure.
One very simple version is simply to allocate blocks of three, a parent and two children, and this block has four "child" blocks, two for each child. This cuts your allocations by a third. This isn't much of an optimization, until you scale it up, allocations of 7, 15, 31, 63... if you can get it so that as many keys as possible fit onto a single memory system page, then you minimize the time spent waiting for the hard drive. If your keys are each 32 bytes, and a page is 4K, then you can store up to 125 keys, which means you only have to load one page from the hard drive for each 7 rows of the tree. At that point, you load the "child" page, and then follow another 7 rows. A regular binary tree may only have one node per page, which means you spend 7x as much time simply waiting for the harddrive as you iterate the tree. Quite slow. Rotates are a little tricky as you have to actually swap the data, not the pointers as is common with tree implementations. Also, it has a waste to use a LOT of space when the tree becomes larger.
Another far more complex "pattern" is to cut the tree in half vertically, so the top is one "subtree", and it has many children "subtrees", and store each "subtree" linearly. And you repeat this recursively. This is a very strange pattern, but ends up working vaguely similar to the above pattern, except it's "cache-oblivious", which means it works with any page size, or cache hierarchy. Quite cool, but they're complex, and virtually everything runs on one of three well known architectures, so they aren't popular. They're also extremely difficult to insert/remove from
Another very simple variant is to put the whole tree into an array accessed via indecies, which saves total memory, but only the top is cache friendly, lower levels are worse cache wise than a regular binary tree. Effectively, the root is at index i=0, and the left child is at (n*2+1 = 1), and the right child is at (n*2+2 = 2). If we're at a node at index 24, it's parent is ((n-1)/2 = 12), and it's left and right children are 49 and 50 respectively. This works great for small trees, because it requires no overhead for pointers whatsoever, The data is stored as a continuous array of values, and the relationships are inferred by the index. Also, adding and removing children always happens near the right end, and normal binary tree insertion/rotation/erasure applies. These also have an interesting mathematical novelty, that if you convert the index plus one to binary, that corresponds with the location in the tree. If we're thinking about the node at index 24, 24+1 in binary is 11001 -> The first 1 always means the root, and from there each 1 means "go right" and each 0 means "go left", which means to get to index 24 from the root you go right, left, left, right, and you're there. Additionally, since there's 5 binary digits, you know it's in the fifth row. Neither of these observations are particularly useful, other than they sort of imply that the root node is a right child, which is vaguely interesting. (If you expand to other-bases, the root is alway the rightmost child). That being said, it's still often useful to implement the root as a left node if you work with bidirectional iterators.
The desktop systems usually have a lot of memory and their applications are short lived. Their process of dynamic memory allocation is to find the next available block in the memory pool and return it. If no memory is available (such as in fragmentation), the allocation fails. There is no control on how much memory can be consumed.
If you have the program running already (with a non-contiguous tree), you could always just instrument your program to report what its actual node-access patterns typically look like. Once you have a good idea of how the nodes are accessed, you could then customize your node-allocator to allocate the nodes in memory in that same order.
All the other answers talk about a tree and not an AVL tree. As far as I know, this kind of tree can be represented in an array but cannot be efficiently updated since you have to reorder many elements of the array instead of playing with memory pointers.
That means you can represent a perfectly ordered balanced tree in an array as long as the input elements are already sorted. This tree will be faster than a usual memory tree but updating it will be "harder".
Gift trees can also be the perfect in-lieu-of-flowers alternative. It is the ultimate green gift. Planting a memorial gift tree helps fight global warming and can also help save the monarch butterfly. Planting a tree in memory of a loved one is a lasting legacy and living tribute.
Shadow of the Wind: This memory unlocks all rogue disciplines for you. Your Stamina regeneration is boosted by 20 percent and you receive the talent "Shadow of the Wind" which lets you move more silently for a short period of time and raises your critical hit chance.
Focus: This memory unlock all mage disciplines for you. You also receive a permanently boosted Mana regeneration as well as the talent "Focus" which lowers the mana costs for all spells by 33 perceny for a short period of time.
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