55 Sentences With "let us assume" | Random Sentence Generator

Let us assume the worst about the 2016 Trump Tower meeting.

For now, let us assume that all guests are paying the standard rate of $1.53,000.

But let us assume that slow global growth, or even a global recession, were coming.

But let us assume, for the sake of argument, that this most recent finding is both real and causal.

But let us assume that Russian interference was not only purposeful but successful in helping Mr. Trump secure victory.

Let us assume at this point that the audience members burst into wheezy cheers for this act of patriotism.

For purposes of argument, let us assume that the FOMB achieves its mission as delineated by the 85033 members of Congress.

And so, as Nicholas Weaver puts it on Lawfare: Let us assume that the FBI wins in court and gains this precedent.

Anders SandbergFuturist, Future of Humanity Institute at Oxford UniversitySo, let us assume that Earth for some reason (a wizard did it?) unpeels and turns flat.

Let us assume the impossible: that the forthcoming regulation on aircraft engines will reduce GHG emissions by half of the 28503 figure, or about 22019 mmt.

What an unreliable nominee would look like is, of course, unknowable, but for our purposes let us assume he or she would look like Justice Kennedy.

So let us assume for a moment that Google, entering the market a little later than Amazon did with the Echo, has sold 700,000 units to date.

In Debt Let us assume that the six or eight largest American financial institutions will not be broken into smaller parts, like some modern-day AT&T.

Let us assume you get the average social security benefit of $4753,000, you earned the average wage of $44,000 and you want to retire on 80% of your income.

Let us assume for a moment that, God forbid, America were to shut down every coal plant on the continent and every coal miner in America were issued a pink slip.

Let us assume that the two presidential nominations are won by Hillary ClintonHillary Diane Rodham ClintonLewandowski on potential NH Senate run: If I run, 'I'm going to win' Fighter pilot vs.

In the case of Judge Kavanaugh, let us assume the allegation of sexual assault against him is true, and assume he had been convicted of a crime and paid his legal debt to society.

That might sound implausible — or, perhaps, irrelevant in view of the high pressure put upon lower-level employees from above to "sell product" — but let us assume for the sake of argument that it is true.

We do not know whether the evidence supports such a conclusion, but let us assume, for the purposes of a legal analysis, that Mueller does come up with compelling evidence of collusion between the Trump campaign and Russian operatives.

All components of the 7003/17 U.S. corn balance sheet are subject to potentially drastic changes as the marketing year is just hours old, but let us assume that all variables remain constant except for yield in order to see how variations affect the supply.

Let us assume, for the moment, that Trump will act more responsibly when an emergency hits the United States than he has done when emergencies have hit America's allies: Amid the chaos of a spiraling crisis, he would then take to his Twitter account to reassure his fellow citizens.

Consider the Obama administration's climate action plan, intended to reduce U.S. emissions of GHG 17 percent below 21625 levels by 2900, and let us assume that the U.S.-China Joint Announcement on Climate Change, under which the U.S. is committed to reduce its emissions an additional 220006 percent by 2202, while China pledges to achieve a peak in its emissions by 2628, is meaningful.

Spend ROAS Return Spend differential Return differential ROAS on differentials $1,000 1.60 $1,600 $21.33,000 1.70 $3,400 $1,000 $1,800 1.8 $13,000 1.80 $5,400 $1,000 $2,000 2.0 $0003,000 1.90 $7,600 $1,000 $2,200 2.2 $13,000 2.00 $10,000 $1,000 $2,400 2.4 $0003,000 1.90 $11,400 $1,000 $1,400 1.4 $123,000 1.80 $12,600 $1,000 $1,200 1.2 $0003,000 1.70 $13,00093 $00083,00073 $00063,00053 00043 $00033,00023 00013 $00003,218 $21000,211 $21000 218 $21000,211.7 2112 $21000,211.3 $1,000 $600 0.6 $11,000 0003 $15,400 $1,000 $400 0.4 $12,000 1.30 $1.33,600 $1,000 $200 0.2 $13,000 1.20 $15,83 $1,000 $0 0.0 $14,000 1.10 $15,400 $0003,000 -$200 -0.2 $15,000 1.00 $15,000 $1,13 -$400 -0.4 $16,000 0.90 $14,400 $1,000 -$0003 -0.6 $17,000 0.80 $13,600 $1,000 -$800 -83 $18,000 0.70 $12,600 $1,000 -$1,000 -0003 Let us assume the target ROAS for a company is 1x, so the company can continue to spend in marketing at any spend level that brings it a return of above 1x.

Let us assume that standard direct material cost of widget is as follows: :2 kg of unobtainium at € 60 per kg ( = € 120 per unit). Let us assume further that during given period, 100 widgets were manufactured, using 212 kg of unobtainium which cost € 13,144. Under those assumptions direct material usage variance can be calculated as: Direct material usage variance can be reconciled to direct material total variance by way of direct material price variance: See direct material total variance#Example and direct material price variance#Example for computations of both components.

Let us assume that standard direct material cost of widget is as follows: :2 kg of unobtainium at $ 60 per kg ( = $ 120 per unit). Let us assume further that during the given period, 100 widgets were manufactured, using 212 kg of unobtainium which cost $ 13,144. Under those assumptions direct material total variance can be calculated as: Direct material total variance can be reconciled to direct material price variance and direct material usage variance by: See direct material usage variance#Example and direct material price variance#Example for computations of both components.

It is a tie i.e. \gamma(0) and \gamma(1) lie in different components of Z_1\cap Z_2. 3\. It is null i.e. f \circ \gamma([0,1]) is null homotopic in X. Let us assume that such a binding tie exists.

Any wage $B, greater than $A, will increase the worker's daily wage without increasing the hours of work. So if you need more hours of work than X, you need to hire more people. Say you need to purchase Y hours of labour from the labour market. Let us assume that Y = 4X.

A tutorial on ranking and choosing with multiple criteria. INFORMS Transactions on Education, 14(3), 109-119. Suppose that a given MCDA problem is defined on m alternatives and n decision criteria. Furthermore, let us assume that all the criteria are benefit criteria, that is, the higher the values are, the better it is.

PDF of the NN distances in an ideal gas. We want to calculate probability distribution function of distance to the nearest neighbor (NN) particle. (The problem was first considered by Paul Hertz; for a modern derivation see, e.g.,.) Let us assume N particles inside a sphere having volume V, so that n = N/V.

This is perhaps the simplest known proof, requiring the least mathematical background. It is an attractive example of a combinatorial proof (a proof that involves counting a collection of objects in two different ways). The proof given here is an adaptation of Golomb's proof. To keep things simple, let us assume that is a positive integer.

Vygotsky cautions against the risk of separating the issue under review from the total environment, the entity of which the issue is an essential part. By studying only this isolated issue we are likely to end up with incorrect conclusions. A second practical example illustrates this warning. Let us assume we are studying the properties of water in putting out a fire.

Let us assume that we evaluate solutions in a specific problem situation using several criteria. Let us further assume that more is better in each criterion. Then, among all possible solutions, we are ideally interested in those solutions that perform well in all considered criteria. However, it is unlikely to have a single solution that performs well in all considered criteria.

Recognizing this, Hume highlighted the fact that our mind often draws conclusions from relatively limited experiences that appear correct but which are actually far from certain. In deduction, the truth value of the conclusion is based on the truth of the premise. In induction, however, the dependence of the conclusion on the premise is always uncertain. For example, let us assume that all ravens are black.

NPCs would be restricted to craft with the resources they have in stock. Player character Jake could sell the town vendor a sword for 10 gold. If Jake wanted to purchase gauntlets (let us assume gauntlets have a resource value of two units of iron), he could for 12 gold. The town vendor has made a 2 gold and 1 unit of iron profit off the transaction.

Here is a proof which should be appreciable with limited mathematical background: Statement: The product of any two even natural numbers is also even. Proof: Any even natural number is of the form 2n, where n is a natural number. Therefore, let us assume that we have two even numbers which we will denote by 2k and 2l. Their product is (2k)(2l) = 4(kl) = 2(2kl).

Its gain necessarily must be less than this by the factor η, which must be negative in units of dB. Neither ERP nor EIRP can be calculated without knowledge of the power accepted by the antenna, i.e., it is not correct to use units of dBd or dBi with ERP and EIRP. Let us assume a 100-watt (20 dBW) transmitter with losses of 6 dB prior to the antenna.

To be acceptable, any rule of law must be capable of being applied consistently, thus a definition of the criteria for this qualitative analysis must be supplied. Let us assume a purely factual analysis as a starting point. A injures B and leaves him lying in the road. C is a driver who fails to see B on the road and by running over him, contributes to the cause of his death.

Obviously, there is no difficulty in holding A liable if A had actual knowledge of the likelihood that B would be further injured by a driver. The fault which caused the initial injury is compounded by the omission to move B to a safer place or call for assistance. But let us assume that A never averts the possibility of further injury. The issue is now the extent to which knowledge may be imputed objectively.

It is very important to state here that it is applicable only when all the data are expressed in exactly the same unit. If this is not the case, then the final result is equivalent to "adding apples and oranges." In general, suppose that a given MCDA problem is defined on m alternatives and n decision criteria. Furthermore, let us assume that all the criteria are benefit criteria, that is, the higher the values are, the better it is.

Elements (pointed to by blue arrow) are compared and the smaller element is moved to its final position (pointed to by red arrow). An individual merge of runs R1 and R2 keeps the count of consecutive elements selected from a run. When this number reaches the minimum galloping threshold (min_gallop), Timsort considers that it is likely that many consecutive elements may still be selected from that run and switches to the galloping mode. Let us assume that R1 is responsible for triggering it.

Let us assume that income grows as a consequence of population growth—or due to growth in income per employed, itself a consequence of increasing productivity. We can then prove that saving is positive even if there are no bequests. We initially analyse the effect of pure population growth while keeping all other assumptions the same. If the size of the cohorts born in successive years grows at the rate p then both population and the aggregate income grow at the rate p.

For more on this, see . In order to understand the definition of territory, it is instructive to apply it first to a position of a kind that might arise before the end of a game. Let us assume that a game has ended in the position belowPosition after move 45 of 53 in a game taken from the go rules of the First World Mind Sports Games. (even though it would not normally occur as a final position between skilled players).

It contrasts to task parallelism as another form of parallelism. A data parallel job on an array of n elements can be divided equally among all the processors. Let us assume we want to sum all the elements of the given array and the time for a single addition operation is Ta time units. In the case of sequential execution, the time taken by the process will be n×Ta time units as it sums up all the elements of an array.

It is clear that variation of the groundwater levels have significant power at the ocean tidal frequencies. To estimate the extent at which the groundwater levels are influenced by the ocean surface levels, we compute the coherence between them. Let us assume that there is a linear relationship between the ocean surface height and the groundwater levels. We further assume that the ocean surface height controls the groundwater levels so that we take the ocean surface height as the input variable, and the groundwater well height as the output variable.

In polymer systems, the general definition () holds; the elementary constituents are now the monomers making up the chains. However, the structure factor being a measure of the correlation between particle positions, one can reasonably expect that this correlation will be different for monomers belonging to the same chain or to different chains. Let us assume that the volume V contains N_c identical molecules, each composed of N_p monomers, such that N_c N_p = N (N_p is also known as the degree of polymerization). We can rewrite () as: where indices \alpha , \beta label the different molecules and j, k the different monomers along each molecule.

Let us assume that 100 simultaneous (non- silent) calls are possible in the same cell. Spread spectrum makes it possible to have as low a frequency reuse factor as 1, if each base station is divided into 3 cells by means of 3 directional sector antennas. This corresponds to a system spectrum efficiency of over 1 × 100 × 0.0017 = 0.17 (bit/s)/Hz per site, and 0.17/3 = 0.06 (bit/s)/Hz per cell or sector. The spectral efficiency can be improved by radio resource management techniques such as efficient fixed or dynamic channel allocation, power control, link adaptation and diversity schemes.

As in p–n junctions, the governing principle here is charge neutrality. Let us assume a P-type substrate. If positive charge Q is placed on the gate, then holes are depleted to a depth w exposing sufficient negative acceptors to exactly balance the gate charge. Supposing the dopant density to be N_A acceptors per unit volume, then charge neutrality requires the depletion width w to satisfy the relationship: :::Q=qN_Aw \, If the depletion width becomes wide enough, then electrons appear in a very thin layer at the semiconductor-oxide interface, called an inversion layer because they are oppositely charged to the holes that prevail in a P-type material.

So far we have neglected the fact that the deformation itself creates a perturbative potential. In order to account for this, we may calculate this perturbative potential, re-calculate the deformation and continue so iteratively. Let us assume the mass density is uniform. Since δ is much smaller than A, the deformation can be treated as a thin shell added to the mass of the Earth, where the shell has a surface mass density ρ δ (and can also be negative), with ρ being the mass density (if mass density is not uniform, then the change of shape of the planet creates differences in mass distribution in all depth, and this has to be taken into account as well).

Now we let this pulse propagate through a fibre with D > 0, it will be affected by group velocity dispersion. For this sign of D, the dispersion is anomalous, so that the higher frequency components will propagate a little bit faster than the lower frequencies, thus arriving before at the end of the fiber. The overall signal we get is a wider chirped pulse, shown in the upper right of the picture. effect of self-phase modulation on frequency Now let us assume we have a medium that shows only nonlinear Kerr effect but its refractive index does not depend on frequency: such a medium does not exist, but it's worth considering it to understand the different effects.

In quantum field theory, a state or a wavefunction is described by field operators operating on some basic state called the vacuum. In order for the operators to project out the symmetric or antisymmetric component of the creating wavefunction, they must have the appropriate commutation law. The operator : \iint \psi(x,y) \phi(x)\phi(y)\,dx\,dy (with \phi an operator and \psi(x,y) a numerical function) creates a two-particle state with wavefunction \psi(x,y), and depending on the commutation properties of the fields, either only the antisymmetric parts or the symmetric parts matter. Let us assume that x e y and the two operators take place at the same time; more generally, they may have spacelike separation, as is explained hereafter.

Let us assume the associativity of a cache to be A. To collect the stack distance profile information of this cache, assuming it has LRU replacement policy, A+1 counters are used starting from C_0 to C_A and one additional counter C_, which keeps count of the misses. The counter C_i increments when there is a hit in the i^{th} way and the counter C_ is incremented on every miss. The stack distance profile shows the trend of hits, decreasing from the most recently used data to the least recently used. Using this stack distance profile information, the cache miss for a cache with associativity A{'} and LRU replacement policy, where A{'} can be computed as > miss = C_ This profiling information has a limitation that it can only capture the temporal reuse across different associativities.

The fundamental idea is that a transaction is executed if the majority of sites vote to execute it. Every site in the system is assigned a vote Vi. Let us assume that the total number of votes in the system is V and the abort and commit quorums are Va and Vc, respectively. Then the following rules must be obeyed in the implementation of the commit protocol: # Va \+ Vc > V, where 0 < Vc, Va \le V. # Before a transaction commits, it must obtain a commit quorum Vc. The total of at least one site that is prepared to commit and zero or more sites waiting \ge Vc. # Before a transaction aborts, it must obtain an abort quorum Va The total of zero or more sites that are prepared to abort or any sites waiting \ge Va. The first rule ensures that a transaction cannot be committed and aborted at the same time. The next two rules indicate the votes that a transaction has to obtain before it can terminate one way or the other.

The description of this accident is applicable for the BWR/4. The immediate result of such a break (call it time T+0) would be a pressurized stream of water well above the boiling point shooting out of the broken pipe into the drywell, which is at atmospheric pressure. As this water stream flashes into steam, due to the decrease in pressure and that it is above the water boiling point at normal atmospheric pressure, the pressure sensors within the drywell will report a pressure increase anomaly within it to the reactor protection system at latest T+0.3. The RPS will interpret this pressure increase signal, correctly, as the sign of a break in a pipe within the drywell. As a result, the RPS immediately initiates a full SCRAM, closes the main steam isolation valve (isolating the containment building), trips the turbines, attempts to begin the spinup of RCIC and HPCI, using residual steam, and starts the diesel pumps for LPCI and CS. Now let us assume that the power outage hits at T+0.5.

For instance, can be associated with the type of ownership structure prevailing in a given country and with the structure of labour rights. For simplicity we assume that the technological and natural environment is constant. Suppose that the agents in domain can choose a rule from two alternative options: and ; similarly, agents in domain can choose a rule from either or . For simplicity, let us assume that all agents in each domain have an identical payoff function or defined on binary choice sets of their own, either or , with another sets as the set of parameters. We say that an (endogenous) “rule” is institutionalized in a domain when it is implemented as an equilibrium choice of agents in the relevant domains. Suppose that the following conditions hold: : u(A^1; B^1) - u(A^2; B^1) \geq u(A^1; B^2) - u(A^2; B^2) : v(B^2; A^2) - v(B^1; A^2) \geq v(B^2; A^1) - v(B^1; A^1) for all and .

Hebb states it as follows: > Let us assume that the persistence or repetition of a reverberatory activity > (or "trace") tends to induce lasting cellular changes that add to its > stability. ... When an axon of cell A is near enough to excite a cell B and > repeatedly or persistently takes part in firing it, some growth process or > metabolic change takes place in one or both cells such that As efficiency, > as one of the cells firing B, is increased. The theory is often summarized as "Cells that fire together wire together."Siegrid Löwel, Göttingen University; The exact sentence is: "neurons wire together if they fire together" (Löwel, S. and Singer, W. (1992) Science 255 (published January 10, 1992) However, Hebb emphasized that cell A needs to "take part in firing" cell B, and such causality can occur only if cell A fires just before, not at the same time as, cell B. This aspect of causation in Hebb's work foreshadowed what is now known about spike-timing-dependent plasticity, which requires temporal precedence.