Binary Definition and 603 Threads

I was wondering if a binary system of neutron stars were to collide what kind of nova or supernova would it be. Is it different if the final mass of the neutron star is sufficient enough for a black hole or if it still a neutron star?

So the question I am trying to solve is this: Define a binary relation R on R as follows: R={(x,y)∈ R×R:cos⁡(x)=cos⁡(y)} Prove that R is an equivalence relation, and determine its equivalence classes. I've figured out the first two requirements for being a binary relation: 1. cos(x) =...

Hey! :o I am reading about binomial heaps. They are priority queue data structures similar to the binary heap, right? (Wondering) Which is the difference between these two heaps? (Wondering) I haven't really understood the operation of the binomial heaps Union. Could you explain it to me...

Hello! (Wave) According to some notes of computability theory: Addition of binary numbers $$10011\\ +11111 \\ ------ \\ 110010$$ I haven't understood how they do the addition, since it holds that $1+1=0$... (Sweating) Could you explain it to me?

Homework Statement This theorem comes from the book "The Real Numbers and Real Analysis" by Bloch. I am having a hard time understanding a particular part of the proof given in the book. Prove the following theorem: There is a unique binary operation +:ℕ×ℕ→ℕ that satisfies the following two...

Could you view a discrete number, for instance a binary number, as a sort of orthogonal basis, where each digit position represents a new dimension? I see similarities between a binary number and for instance Fourier Transform, with each digit being a discrete function.

Hi Physics Forums, I'm wondering if a distillation column is limited by the carnot efficiency and, if so, how this limitation can be used to determine the maximum efficiency of a distillation column with particular hot and cold side temperatures. A distillation column has a hot and cold side...

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 was thinking of having the binary planets in my fictional solar system (Kepler Db(Mars like) and Kepler D#(Venus like)) have a moon. Life is on both of these planets in intelligent humanoid forms, but different from the humanoids on the 2 earth-like planets. For 1 the humanoids on Kepler D#...

I work a lot in binary. I am organizing some of my work and need a way to write expressions. I can always create my own notation, but i would rather not invent something that already exists. 1011 is binary for 11 base 10. I use this {3,1,0} to represent the binary with just exponents. When I...

Homework Statement Give combinatorial proofs of the identities below. Use the following structure for each proof. First, define an appropriate set S. Next, show that the left side of the equation counts the number of elements in S. Then show that, from another perspective, the right side of the...

Say you have a binary system (with similar mass) in the following orbit with a planet located at the barycenter, is this possible and is this a dynamically stable system (over billion of years) ?? If this system was an Earth like system would I assume correctly that it would not have a nigh...

Homework Statement Two main sequence stars have the following properties: #1: apparent magnitude m_v=2.5, λ_eff = 551nm radius r=1.6R_sun #2: m_v = 5.77, r = 1.25R_sun 1) Calculate the apparent brightness of the system when #2 is in front of #1. Assuming that #1 has constant apparent...

Hey all, the schema theorem shows that in all probability a genetic algorithm will converge to a solution. much like the second law of thermodynamics for optimization. Although, it is taught with the genes being $$ \in (0,1, *), * \in (0,1) $$ is there a proof for non binary genes? example...

I have a question about machine learning and the binaries/executables of programs. I'm not really understanding well how machine learning and programs are related. For instance in computer chess or go, they use machine learning (deep learning) to "train a model" or something like that, the more...

Are there any binary stars that can be seen with binoculars which have orbital periods you can observe from week to week or month to month? tex

I am reading about mergers of a neutron star with a black hole and the association with GRB. While talking about the accretion disk, the paper I am reading says about the last stable circular orbit. Firstly I thought it was where the Roche limit lies, where mass transfer or matter ejection from...

Hi all. I'm in need of a formula to calculate (roughly) the percentage of an ammonia-water mixture (arbitrary ratio of ammonia to water) that will boil off under different pressure/temperature conditions, in the ballpark range of 0.2-1.3 bar and 220K-350K. I don't necessarily need to know the...

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...

I've been looking at detector coincidences and tried to find what general limits apply to coincidences. I was surprised how simply the calculation works out. My question is whether it is correct and where can I find similar stuff ? Consider two binary sequences produced by random processes...

I have a real doosy that has got me stumped. I need to solve the following equation for v: tan(v + ω) = tan(θ + Ω)sec(i) The symbols stand for the following values in an elliptical orbit of one point source around another (on the celestial sphere): where v = true anomaly; ω = argument of...

(I honestly don't know whether this is Intermediate or Advanced. I'm guessing the latter since I don't know the answers and I've done second year astrophysics, but maybe I'm just an idiot.) Let's say you've got a high mass (~60 Jupiter masses) brown dwarf in relatively close orbit around a true...

Hello I'm using the C functions for reading binary files: #include <iostream> #include <stdio.h> void main(){ /*********/ uint32_t head=0; FILE *fin = NULL; fin = fopen("myFile.bin","r"); while(myCondition){ fread(&head,4,1,fin); std::cout << std::hex << head...

I'm designing part of a machine for my final year engineering project and I could use some help figuring out the right parts for a circuit I'm trying to create as part of it. Basically what I intend the circuit to do is is have the input to the circuit connected to the computer controlling the...

- We have two identical point masses, they are moving in uniform circular motion and in the same plane. - Both masses are 180 degrees out of phase, they are always on opposite ends of their circular path. -The "orbit" radii for both masses are the same.We consider only SR effects, no GR.Now we...

Homework Statement Explain and compare two efficient implementations of a priority queue using binary tree. Ilustrate this on an example of ascending priority queue that is created when elements 15, 38, 45, 21, 8, 55,20 are inserted and the two largest elements are deleted. Homework Equations...

Hi, I've been trying to write a simple binary file in Python 3 and have not yet been able to find a clear answer / solution online. Could you please suggest a simple way to read / write binary files in Python 3? My Code: # Create Binary File def dec_base(k,b=2): """ Default base is 2...

Hello! Can you teach me how to divide a smaller binary by a bigger binary. For example, 10111÷ 1110001. If you can also share tricks for a much faster solution it would be very much appreciated.

I am a little puzzled with how there is a White Dwarf Binary of Five Minutes. How do they get so close?

I am studying psychology and have always been awful at maths (I think it's because I don't have much working memory), I am coming at this as a complete beginner. It is relevant to the Information Processing model of psychology. _____ The book says: Imagine you throw a coin once.. once it lands...

Homework Statement Hello! I have just heard in one online lecture that if for example there is a phone book with 4 billion entries (or a data set with 4 billion entries), then to find one entry (for example, Kim Simth) I need maximum 32 steps. If the amount of entries is increased by half, ie...

I am reading a book called 'quantum processes systems and information' and in the beggining a basic idea of information is set out in the following way. If information is coded in 'bits', each of which have two possible states, then the number of possible different messages/'values' that can be...

Homework Statement Plaskett’s binary system consists of two stars that revolve in a circular orbit about a center of mass midway between them. This statement implies that the masses of the two stars are equal. Assume the orbital speed of each star is 220 km/s and the orbital period of each is...

Several exercises in my textbook start with assumptions that confuse me. For example: Assume 185 and 122 are signed 8-bit decimal integers stored in sign-magnitude format.Assume 151 and 214 are signed 8-bit decimal integers stored in two's complement format. I am then to go on to find the...

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...

Homework Statement Homework Equations n/a The Attempt at a Solution I don't know how to start part A and part B depends on part A. How does one calculate a lower mass limit? Is it the lower limit of an integral? I also don't understand how there can be two periods (one at 0.714 seconds...

If the binary operation of addition is theoretically connected with logic operation XOR, and if the binary operation of multiplication is theoretically connected with logic operation AND, so, the logic operation OR is connected with what binary operation? Exist some relationship? Another...

If I am too vague, please let me know How do computers read binary? I know that the 1s and 0s represents on and off. if I spell out "hello" in binary using lamps 0=off and 1=on and I take that and try to feed that info to my pc, well I'm going to fail because my pc has no way of handling that...

Homework Statement Hello! Typical binary search tree has a number of nodes equal to 2^(n+1) - 1. I don't understand why we add 1 to the n? For example: a tree has a height 4. # # # # # # # # # # # # # # # each level has 2^i nodes; i = 0, 2^0...

Homework Statement Hello! Binary search requires O( log2(n) ) operations in the worst case. My math doesn't add up. I would be grateful for help. Homework Equations For example: Find number 8 in the set 1234578. The Attempt at a Solution The set contains n = 7 elements. 1) take the middle...

I can't think of an instance of this in science fiction, but then I do not have the broadest knowledge of the field, so I could have missed something obvious to everyone else. I wonder, though, could a planet form at the center of mass of a binary star system or be captured there, and could...

Homework Statement After being given a decimal base 10 #: 716, I've converted it to hexidecimal and got 2CC. However, if I want to convert 2CC to BINARY, do I find numbers of base 2s that ADD up to 716 ( 1011001110) OR do I find binary values for 2 , C , C separately? (Such as 0010 1100 1100)...

I am stuck on some non-coherent fault tree analysis. I have a non-coherent fault tree for which the TOP event breaks down to TOP = AD' + DA' + A'E. These are (I think) some of the prime implicants of the fault tree. There is also another prime implicant ED'. I've been trying to work through it...

I just got Pinter's book, "A Book of Abstract Algebra", for the modern algebra course that I'm taking. It's a very nice book, I'm enjoying reading through it so far. What's especially interesting is the connections to computer science and controls, mostly because I switched to math and physics...

Homework Statement Homework EquationsThe Attempt at a Solution the solution says to equate the moments about C or equate the centripetal forces but the moments, they used M1R1 = M2R2 how does the above represent the moment, and why is the moment even equal?similarly, why is the centripetal...

please help.. I needed a Binary to 2 out of 5 converter with 6 inputs .. also I needed it to have 8 output with.. HELP

Is it possible that 2 stars in a binary system to intersect their orbits like in this picture? ( the orbital plane is perpendicular to the line of sight)

http://www.cnn.com/videos/tech/2015/07/07/black-hole-awakens-erupts-nasa-orig.cnn 8K ly seems awfully close. the cnn version of the story... is a bit thin o_O

Hello board, in the course of a data processing project I'm working on, this challenge presented itself, and it's a bit beyond my firm grasp. Stripping away the non-essentials, what we have is this: Construct a binary ruler of length L=(2^n)-1 units, subdivided into the least number N of...

Homework Statement Given (135)x + (144)x = (323)x. What is the value of base x? Now we can find out the value of x by simply converting to decimal both the sides , form a quadratic equation and solve but once in a random lecture our prof. taught us a kind of short method to solve this in less...