precalculus inequalities

The description of the topic is very simple, give n numbers, do not change their relative position, in the middle add K multiplication sign and n-k-1 a plus, (parentheses arbitrarily add) to make the final result as large as possible. Because multiplication sign and the plus sign are all N-1, there is a sign between each of the two adjacent numbers. For example:N=5, k=2,5 numbers are 1, 2, 3, 4, 5, respectively, can be added:1*2* (3+4+5) =241* (2+3) * (4+5) =45(1*2+3) * (4+5) =45...... Input for

or indirectly, by the rail line. Consider this railroad: Its strategic Value is 4*5 + 4*1 + 4*2 + 5*1 + 5*2 + 1*2 = 49.Now, suppose this Lawrence only have enough resources for one attack. He cannot attack the depots themselves---they is too well defended. He must attack the rail line between depots, in the middle of the desert. Consider what would happen if Lawrence attacked this rail line right in the middle: The strategic Value of the remaining railroad is 4*5 + 1*2 = 22. But, su

Title Link: Http://codeforces.com/problemset/problem/557/BTitle meaning: There are 2n cups, which stipulates that the first cup can only be filled with ai ml of water. Now give the W ml of water, you need to put this w ml (Can not light) water into the 2n cup, so that the water to the n male each water is exactly twice times the n female (note that N Men's water Cup is the same, n female is also). The question now is how to make 2n cups of water the most, to find out the value.(Start to mislead

hide in the quilt to soothe a small wound can only xx, alas, many hurt the body! Wait, there's a flower that's going to stick in your lump.You always have to be physically right.Not to mention now all "people read ", you say you secretly x still have a what strength, come, Sao year, Gongbardai, join the Reading Corps, as a single engineering dog learned to avoid the enemy tactically, strategically despise the enemy. We only believe that "people are ugly should read more"!The next is I am intere

can be considered with a differential constraint system.Differential constraint system:If a system consists of n variables and m constraints, each of these constraints is shaped like this:XJ-XIIt is called a differential constraint system .Solving differential Constraint systems:The solution of differential constrained system can be transformed into a single-source shortest path problem of graph theory,Xj-xiXjTriangular inequalities similar to shorte

several kinds of samples; for two kinds of sample points W1 and W2, the sample point set is represented as:, using a discriminant function to divide W1 and W2, It is necessary to use these sample sets to determine the weighted vector aof the discriminant function, which can take the augmented sample vector y, i.e. there is a suitable augmented weight vector a, which makes:whichThe sample is said to be linearly divided. As in the first figure is linear can be divided, and the second chart is not

n integers is m[1], m[2],..., M[n] Then it must is the case thatW[m[1]] andS[M[1]] > s[m[2] [> ... > S[m[n]]In order for the answer to is correct, n should be as large as possible.All inequalities is strict:weights must is strictly increasing, and speeds must be strictly decreasing. There may is many correct outputs for a given input, and your program only needs to find one.Sample Input6008 13006000 2100500 20001000 40001100 30006000 20008000 1400600

right to accompany set \ (ha^{-1}\).Consider the set of all left-hand sets \ (ah\), whose order is called a subset \ (h\) index , recorded as \ ([g:h]\), then apparently the formula (2) of the Lagrange theorem is established. Further, if \ (k\leqslant h\leqslant g\), it is also easy to have the formula (3) established (pay attention to the endless discussion). And it can be intuitively seen, \ (K\) The accompanying set is in the \ (h\) accompany set on the basis of \ (K\) for the division of th

, the maximal value of the logarithmic likelihood function parameter λ is obtained. At this point, it is usually solved by iterative algorithm, such as improved iterative scale method IIS, gradient descent method, Newton method or Quasi-Newton method. Here is the main introduction to the improved iterative scale method of IIS.An improved iterative scale method The core idea of IIS is to assume that the current parameter vector of the maximum entropy model is λ, hoping to find a new parameter vec

problem of SVMOptimal interval classifier:To rewrite the constraint to:And through the kkt condition, αi>0 = GI (w,b) = 0, which is the activity constraintGI (w,b) =0 Give examples such as:The circle and fork in the figure are positive and negative, and the solid line is the dividing line determined by the w,b, which is the line formed by the point where the function interval is 1. The function interval of three samples is 1, and the function interval of other samples is greater than 1.By kkt c

the default value, other functions or expressions are subject to the following restrictions: · Only 0 is returned, indicating failure. it cannot be/with other values. · Naming so that a true return value is absolutely explicit. call the IsValid () function instead of Checkvalid (). 3.12 Boolean logical type Follow the following rules: (1) 0/1 cannot be used to replace true/false. in PHP, this is not equal; (2) do not use a non-zero expression, variable, or method to directly perform true/fa

DescriptionQuestion 1: Is bigger smarter? The Problem Some people think that the bigger an elephant is, the smarter it is. to disprove this, you want to take the data on a collection of elephants and put as large a subset of this data as possible into a sequence so that the weights are increasing, but the IQ's are decreasing. The input will consist of data for a bunch of elephants, one elephant per line, terminated by the end-of-file. the data for a participating elephant will consist of a pair

integer (each one representing a mouse ). if these N integers are m [1], M [2],..., M [N] Then it must be the case that W [M [1] And S [M [1]> S [M [2]>...> S [M [N] In order for the answer to be correct, N shoshould be as large as possible. All inequalities are strict: weights must be strictly increasing, and speeds must be strictly decreasing. There may be specified correct outputs for a given input, your program only needs to find one. Sample

. Outputyour program shocould output a sequence of lines of data; the first line shocould contain a number N; the remaining n lines shocould each contain a single positive integer (each one representing a mouse ). if these N integers are m [1], M [2],..., M [N] Then it must be the case that W [M [1] And S [M [1]> S [M [2]>...> S [M [N] In order for the answer to be correct, N shoshould be as large as possible. All inequalities are strict: weights

Now we have to go through a zebra crossing. the zebra crossing consists of N alternate black bars and white bars. The first is black bars. The length of the foot is S. It is required that no part of his foot should touch the black line symbolizing evil. The parts before and after the first line are white. You can choose any position before the first line. However, once the starting position is selected, the length of each step must be K. Check whether it is possible to pass the zebra crossing wi

\ Leq \ dim V ^ \ ast $. Because any finite dimension vector space has the same dimension as its dual space, we obtain $ \ dim v = \ dim W $ by combining the two inequalities, and $ V \ rightarrow \ varphi_v $ is a linear homogeneous structure from $ V $ to $ w ^ \ ast $, $ w \ rightarrow \ phi_w $ is a linear homogeneous structure from $ W $ to $ V ^ \ ast $. To sum up, if $ V \ times w \ rightarrow F $ is a non-degraded bilinear type $ B $, then $

voltage direction and the current direction are the same, there will be no current flow from the low potential to the high potential.Nowadays, the popular circuit diagram is often used to "male and female". Oh no, "Yang and Yin", that is, "positive power supply and negative power supply ". In that case, e is connected to the floor (directly or indirectly), and C is connected to the ceiling (directly or indirectly ). On the contrary, the PNP circuit eventually connects C to the floor (either dir

The difference question is still quite tangled. Although this question is not shown in a diagram, all the inequalities are given to you, and there are no implicit conditions, just pay attention to Code: #include

are distributed in advanced mathematics and discrete mathematics without mathematical derivation. Some inequalities: Whether it is merge or fast sort, we can sum up them to solve the recursive/divide-based problem. They have a general time complexity statement: The meaning of this equation is that the problem of scale is N, which can be split into a problem where scale is N/B, then, the time complexity is equal to the problem that a's sc

In the historical period of modern times, the calculus of an infinitely small number is expanded on the super real number * R, and the calculus of the traditional real number system R will gradually fall behind the scenes. Why? Calculus in the traditional real number R is represented by a set of statements. Generally, two expressions containing function symbols are connected by equations or inequalities to form a declarative sentence. Our goal is to t